{"text":"Question: What is 507.9397kg in grams?\nAnswer: 507939.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkfqtcqqfkkfk. What is prob of sequence kk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiiibiiii. Give prob of sequence bbbi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*d = -8*d - 200 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24\/11 or 2?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 207\/(-966)*(-4)\/3. What is the closest to 5 in -5, d, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 689, 1, -6, -3, 4, 3 in decreasing order.\nAnswer: 689, 4, 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5422 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -6120 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(98)*-3 + sqrt(72)*6 + ((-4 + sqrt(4)\/sqrt(2) + sqrt(2) + -5)*1)**2.\nAnswer: -21*sqrt(2) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-2))\/(-69*72\/(-13248))*(-58)\/8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*n - 486*i - 381*i + 504 = -862*i, 2*i = -2*n - 42 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 110446 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3 - 0.2. Let z = 6 - 4. What is the closest to z in g, -1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1960 divided by 14\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 82*-0.1109\nAnswer: -9.0938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 11*v. Let g be k(3). Suppose -4*m = -16, -283 = -5*f + 5*m - g. What is the greatest common factor of f and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-3*10)\/(-5). Suppose 0 = -3*v - u*v + 4232. Let x = v - 347. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9403*d**2 - 5 + 11 - 6.\nAnswer: -9403*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 0*n + 6. Let t be (38\/57)\/(n\/36). Let i be (-18)\/(-4)*176\/6. What is the greatest common divisor of t and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 337403964 divided by -6.\nAnswer: -56233994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.0457793 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 39582\/12 + (-1)\/(2*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62948.\nAnswer: 2, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 3, 1\/8, 1, -8, 2.24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1132 + -2269\/2. Let p = 2 - 10. Let m = p - -7.7. Which is the second biggest value?  (a) 2\/9  (b) t  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2. Let v(d) = -9*d + 372. What is s(v(w))?\nAnswer: -162*w**2 + 13392*w - 276768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -0.5, 9470 in ascending order.\nAnswer: -13, -0.5, 9470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 1\/15, 2\/11, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, 2\/11, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 11:11 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41 - 7*n - 42 + 9 to the form x + s*n and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 - 0.2. Let j = -8 - -4. Let z = -4.3 - j. Which is the third smallest value?  (a) z  (b) w  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 77727 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 39 = 6. Let k be (2 + (-95)\/40)\/(r\/4). Let w(i) = i**2 - 5*i + 3. Let y be w(4). Which is smaller: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 69*l - 188*l - 689*l + 14 - 14. Let m(d) = -3*d**2. What is m(k(p))?\nAnswer: -1958592*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -2. Let j = 56 + -55.9. Which is the closest to v?  (a) -2  (b) j  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {y: 4, d: 1, u: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*q - 13 - 11 + 24.\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 5*c + 10*c**2 - 12 - 9*c**2 + 2*c - 4*c. Let b(u) = u**2 + 5*u - 2. Let g be b(-4). What is the remainder when x(g) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/29)*g*g**(-2\/121))\/(g\/g**(-15))**(-2\/75) assuming g is positive.\nAnswer: g**(389263\/263175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 5:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - s - 1. Let p(u) = u**2 + 6*u - 4. Let a(z) = -z**2 - 5*z + 3. Let o(g) = 5*a(g) + 4*p(g). Calculate n(x) - o(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9147076, 36588298, 82323676, 146353216, 228676924, 329294806?\nAnswer: 448206868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 18, 24, 32, 42, 54?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i - 2*z, -8*z + 33*z = -2*i + 63 + 33 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 20 + 4 + 2 + -14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p + 12. Let h(a) = -a - 3. Determine h(x(s)).\nAnswer: 5*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 133653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-five halves of a millennium?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -48  (b) -1  (c) 2  (d) -3\/2  (e) -4  (f) -0.1  (g) 223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 - 17*f + 14. Let x be t(16). Let i(o) = -2*o - 4. Let u be i(x). Suppose k = -u*k + 7. Calculate the highest common factor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -154 + 131. Let g be -3 + 16\/(-16)*q\/7. Which is the closest to g?  (a) 2  (b) 1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.1445517 + 0.5.\nAnswer: -2.6445517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + 6*t**2 + 4. Let s be r(-6). Let p be (-93)\/33 - s\/22. Calculate the remainder when 7 is divided by 6\/(-4)*10\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 24, 11, -4, -15, -16?\n\"Answer: b**3 - 7*b**2 + b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -11*f. Let n be (-54)\/(-12)*(-5)\/(-6)*-4. Let v be (-92)\/n - 6 - (-478)\/15. Let x(r) = 15 - 13 - v*r - 2. Calculate 17*o(j) - 6*x(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 10. Let k(h) = -h**3 - 17*h**2 - 15*h + 17. Let z be k(-16). Let b be -2 - z\/(-3 + 2). Sort r, 2, b.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 33 = 24. Suppose s - 5 = 3*q, 7*q - u*q = s - 10. Solve 0 = -v - j + 4, -j = 2*v + v - s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52\/25 - -344\/75. What is the common denominator of -23\/30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -706, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 294*v - 291*v + 6148, 0 = -4*l + v - 24631. Which is smaller: l or -6158?\nAnswer: -6158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 1:28 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 38 = 3*t - 5*w, t + 3*w = 6. Let s be (-542)\/t + 7\/(-21). What is the second derivative of 15*a + 90 - s - 6*a**3 wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010001011010 - 101000010111?\nAnswer: -1111001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3639*x**2 + 0*x + 3637*x**2 - 3*x.\nAnswer: -2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of -h**6\/180 + h**4\/12 - h**3\/2 + h. Let y(c) be the second derivative of f(c). Factor y(p).\nAnswer: -2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 7833*l = -7834*l - 26, 3*l + 23 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -127 - -1145\/9. Let w = 12.87 - 14.87. Which is the nearest to 0.1?  (a) k  (b) 0.5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.23 and 579853.\nAnswer: -133366.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-8)\/w**18)\/(((w\/(w\/(w\/(w\/(w*w**0\/w)))))\/w)\/w*w*w)**(1\/16) assuming w is positive.\nAnswer: w**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 96527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10486519 or 94378676\/9?\nAnswer: 10486519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 4. What are the prime factors of m*3\/(3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*m + 10. Suppose -79 = -m*d + 5. Suppose -3 = f - d. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312192?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380298 is divided by 190149.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2702*a**3*b**2 - 173*a**3 - a wrt b?\nAnswer: -5404*a**3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -112542 divided by 64?\nAnswer: -56271\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*k + 3*k + 2*k)*(9*k**4 - 6*k**4 + 10*k**4) + (69*k + 17*k - 202*k)*(2*k**4 - 2*k**4 - 2*k**4).\nAnswer: 219*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ubvvuufuutv. Give prob of sequence vfb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10446 + -9861. What are the prime factors of y?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -219, -444, -745, -1116, -1551, -2044?\nAnswer: -2589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -20 + 30 - 26?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -2*y**7\/35 - 5*y**3\/6 - y**2\/2 - 12. Let c(n) be the second derivative of v(n). Find the first derivative of c(h) wrt h.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26728 - 14033 = -17*c - 1423. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 8196 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**3\/10 + 11*v**2\/5 - 148*v\/5 + 384\/5 = 0. What is v?\nAnswer: -32, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/42 - 46\/(-12). Suppose 246 = 3*t - d*b, -5*t + 559 - 149 = 2*b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 63 = -2*z. Let n be (-960)\/((z\/(-50))\/7). Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1275576 and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*b - 2*b. Suppose 0*m - b = 4*m + 4*z, 4*m - z = 17. Suppose -5*u + 28 = 8. Do u and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 3*l**2 + 5. Let y be i(3). Calculate the greatest common divisor of 25 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 - 451. Let w = h - -433.2. What is the second biggest value in -0.4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143*n**2 + 143*n**2 - 3 + 2713*n**3.\nAnswer: 2713*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/28)\/(((-30)\/7)\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/27))**(-3\/4) assuming s is positive.\nAnswer: s**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/3 - 18*t**3 - 52*t**2 - 154*t\/3 - 17.\nAnswer: -(t + 1)**3*(t + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/156 and 87\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of 7*x**6\/60 - 14*x**3\/3 - 24*x**2. What is the derivative of v(f) wrt f?\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/3 + 1135*b**2\/3.\nAnswer: b**2*(b + 1135)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + -5.1. Let f = 0.02 - -0.02. Let m = f - 0.04. What is the second biggest value in j, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 5*s - 10 = -5*o, 20 = 3*s - 5*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 - 89 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21575 = -591*s - 272*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 918, 1922, 3096, 4524, 6290, 8478, 11172?\nAnswer: 14456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 7 = -3*z, -2*h = 5*z - 72 + 101 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 134799299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -53*w**4 - 52*w**2 + 21*w**4 - 108*w**3 - 19*w**4 - 4*w**5 - 9*w**4.\nAnswer: -4*w**2*(w + 1)**2*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00158 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 5:25 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -46, 7, 0 in descending order.\nAnswer: 7, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u + 6. Let t be j(-4). Suppose 29*r - 14 = 3*o + 27*r, 0 = -2*o + 5*r - 13. What is the tens digit of 3\/o*21*-2*t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**2\/2 + 25*o\/2 - 12 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 152*g + 103*g + 157*g - g + g - 2*g + (-2*g + g + 3*g)*(-1 - 1 + 0) - g - 3*g + 2*g to the form f*g + w and give f.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 7*s - 3. Let x(o) be the second derivative of 13\/6*o**3 + 0 - 5\/2*o**2 + 9*o. Determine 7*k(b) - 4*x(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 5*a - 76 = -80, -2*a = 5*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-2\/11)\/g*g)\/(g*g\/(g*g**(3\/2)*g*g)*g))**(-43) assuming g is positive.\nAnswer: g**(-2193\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90857 and 754.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 10:08 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10*((-5)\/(-6) + (-2)\/6). Suppose -i*y + 5*b + 114 = 4, -3*y + 82 = 5*b. Which is smaller: y or 25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43079442 is divided by 7179906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(144)\/(sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6)))\/((sqrt(12) - -5*sqrt(36)\/sqrt(3)) + sqrt(12) - (sqrt(12) + sqrt(48)\/sqrt(144))).\nAnswer: 8*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60040049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1780.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155023.\nAnswer: 11, 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -9*o + 4. Let a(n) = 10*n - 5. Let p = -2 + -2. Let s(m) = p*a(m) - 5*g(m). Let i(b) = b**2. Give s(i(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1, 11.58, -0.11, -3\/5, -2, 2?\nAnswer: 11.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 16 + 15. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 + 21 + 79 - 33\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8644 - 2208. Let b = -4275 + c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - ((sqrt(68) - sqrt(68)*-1) + sqrt(68) + sqrt(68)))*4 + sqrt(68))\/((sqrt(80)\/sqrt(4))\/sqrt(5)) - (1*((sqrt(2057) + -1)*4 + sqrt(2057)))**2.\nAnswer: -51441 + 429*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i. Let a be v(4). Suppose n + 4*g = -n + 88, -a*n = -5*g - 124. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12000002200111 (base 3) in base 10?\nAnswer: -2659162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-56)\/98)\/(-2) - 80\/(-14). Put 3, -2, v in decreasing order.\nAnswer: v, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1040)\/35 + 28)*-2*(-238)\/(-6). Suppose o = 4*o + 5*w + 85, 4*w - 191 = 5*o. Let i = 52 + o. What is the highest common divisor of i and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13185349 to the power of 1\/2, to the nearest integer?\nAnswer: 3631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 253*m**2 + 52*m + 52. Calculate the remainder when o(-1) is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24184, -48376, -72568, -96760, -120952, -145144?\nAnswer: -169336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(320) + -5*(sqrt(5) + -2) + 5.\nAnswer: 15 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 4*o - 2*j, 5767*o - 5775*o = -3*j - 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -2, -0.33, 10\/21.\nAnswer: -4, -2, -0.33, 10\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 15730.29, 3 in decreasing order.\nAnswer: 15730.29, 3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-147)\/(-36) + (9 - (-109)\/(-12)). Suppose i*m - 684 = 5712. List the prime factors of m.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times 4.9859\nAnswer: -0.199436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 221*h - 3*h + 82*h - 108*h + 329*h in the form g + x*h and give x.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 10:34 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (68 + -2 + 11 + (-6 - (11 + -12)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 193 divided by -4\nAnswer: -193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(475) - ((1 + sqrt(475))**2 - sqrt(475))) + (sqrt(57)\/((sqrt(36)\/sqrt(6) + sqrt(6))\/sqrt(2)))**2.\nAnswer: 1923\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -316*a**2 + 9*a. Let y(z) be the second derivative of -79*z**4\/12 + z**3\/3 - 43*z - 97. Calculate 2*i(m) - 9*y(m).\nAnswer: 79*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((5 - 0) + -2)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -49\/40223311 or 1?\nAnswer: -49\/40223311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -8*c + 10*c. Let f be 3\/c - (-63)\/(-945). What is the nearest to 1\/4 in -31, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 178 and 55097942?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -5, -568, -2 in increasing order.\nAnswer: -568, -5, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 7. Suppose 3*n = 3 + 9. Suppose 8 = -w - w. Put w, c, n in ascending order.\nAnswer: w, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -214*l - 43223. What is w(-202)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, t: 4, i: 6}. Give prob of picking 2 s and 1 i.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/16*-2*8\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6\/35, 0.5, 1\/3, -0.5, 2\/7 in decreasing order.\nAnswer: 0.5, 1\/3, 2\/7, -6\/35, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 229681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1101*g = -1115*g + 474540 + 33002. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5*m - 75825 = 0, -30316 = 218*a - 220*a - 5*m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 626.7449.\nAnswer: -250.69796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14853113 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from eeekkkekekekekee?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**6\/60 - 2*k**5\/5 + 3*k**3\/2 - 24*k**2. Let o be u(12). Suppose -4*w = -2*w. Put 3, o, w in ascending order.\nAnswer: w, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004374 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 36?  (a) 5  (b) -0.5  (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - d - 5*d**2)*(-2 + 5 + 4).\nAnswer: -35*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.416 and 11990.16?\nAnswer: 11991.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (1\/3)\/((-24 + 47)\/1242)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1035*k**2*s**2*w + 2*k**2*s*w**2 - k*s**2*w**2 - 8*k*s*w - 2*k - 2*s*w**2 wrt k?\nAnswer: -2070*s**2*w + 4*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2*o + o)*(-o**3 + 0*o**3 + 3*o**3) + (0*o - 2*o + 4*o)*(o - 5*o**3 - o) - o**3 + o**3 - o**4.\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 + 11*v - 3. Let d be n(-10). Let w = d - -15. Let z be (w\/5)\/((-2)\/10). Let x(u) = -u + 2. Let i(q) = -4*q + 11. Calculate z*i(m) + 11*x(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11756*l - 2*a = -11751*l - 127, 4*l - 104 = -a for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 18. Let c = u + -1. Solve -9 - 1 = c*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 22*v**2. Let x(w) = -54*w**2 - 68*w. What is x(n(s))?\nAnswer: -26136*s**4 - 1496*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 711.9442 tonnes to nanograms.\nAnswer: 711944200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -945\/7843 - -6\/253. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-six thirds of a day in hours?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 22, 3, 24 in increasing order.\nAnswer: 3, 22, 24, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1365449 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*f - 7 - 23 - 18 + 3*f**2 + 5 + 10*f as l*f + d + g*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-84) - 1*8\/(-14).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30.9*-521.\nAnswer: 16098.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -3. Let a(t) = -16*t**3 + 2*t**2 + t - 1. Is a(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 36*f**2 - 42*f - 191. Calculate the remainder when 2265 is divided by y(-35).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 964*p + 3525 = -218*p + 7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1 - -4) + (-28)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 70 = -4*k. Solve k*v - 9 = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18070*s**2*x**2 - 10525*x**2 wrt s.\nAnswer: 36140*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*b**2 + 150 + 141 - 290 + 2*b**3 as o*b**2 + i*b**3 + n + r*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 53 + -50. Suppose 0 = 2*t + 2*t + 16. Sort k, 0.5, t in increasing order.\nAnswer: t, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 1 + 5 - 3*n + 12. Let a be g(6). Let f(y) be the first derivative of y**3\/3 - y**2\/2 + 10*y - 1. Determine f(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 14*c**2 - 144*c - 2380. Give j(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 40*s**3 + 2*s + 39. Let n(i) = 41*i**3 + 3*i + 39. Let x(d) = -2*n(d) + 3*z(d). What is the first derivative of x(b) wrt b?\nAnswer: 114*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 54\/80*(-10)\/(-15). Let g(h) be the third derivative of -8*h**2 + h**3 + m*h**5 - 11\/8*h**4 + 0 + 0*h. Solve g(u) = 0 for u.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(570) - -1*sqrt(570))\/sqrt(10))\/(sqrt(3)*1*-5) + -5.\nAnswer: -5 - 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.7379752nm?\nAnswer: 0.0000000000007379752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/4 + -3\/20. Let y = 0.27 - 5.27. Which is the second smallest value?  (a) y  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 8*l + 13. Let u be p(-9). Let q be 2\/u - 6\/(-4). Let h = 0.15 - 0.25. Which is the nearest to h?  (a) 2\/13  (b) q  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0579369 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 280 = 5*w, 168 = 3*w + 4*y - 0*y. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 37780*v + 75540.\nAnswer: 5*(v + 2)*(v + 7554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 14 = -b, 0 = -3210*b + 3205*b - 4*w + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z + 48. What is l(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 286204?\nAnswer: 2, 71551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -10. Let q(t) = -40*t - 168. Let m be q(-5). Calculate the greatest common divisor of m and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/2 and -53\/2346.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 5*u + u)*(-7*u + 3*u - u) + 2*u**2 + 3*u - 3*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 104, -0.3, 0.2, 355, 1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2573, -5136, -7697, -10250, -12789?\nAnswer: -15308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -4838.\nAnswer: 24190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - -4. Let h = 14 - t. Suppose 2*x = 3*x - 3. Calculate the remainder when h is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -6 + -2 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17285, 69012, 155225, 275924?\nAnswer: 431109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3608 - -16022. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of 7*i**4\/3 + 35*i**3\/3 - 101*i**2 + 2. Differentiate s(h) with respect to h.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**2*t**3*z - 2*b**2*t**2 + 56*b**2*t*z + 2*b**2 + 1014*b*t**6*z wrt t.\nAnswer: -12*b**2*z + 121680*b*t**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/24)\/(2\/(-8)). Let m be 5 - (6\/(-12))\/(a\/12). Solve m*x = -6*x + 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 667, -19, 1, 4.\nAnswer: -19, 1, 4, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 15860\nAnswer: -4758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62 and 992?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 316707 is divided by 211?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (16\/(-24))\/(1\/(-3)). Suppose -c - 2 = -2*j. Suppose -2*i + 6*d = j*d - 682, 341 = i - d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/2  (b) 0.0248  (c) 1  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6925215750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -6  (b) -2  (c) -1\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 12 = 519*r - 515*r, -r = -5*n + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(972)*1)\/(sqrt(15)\/sqrt(80)))\/((sqrt(2) - sqrt(10)\/sqrt(5)*-3) + sqrt(2) + -1*sqrt(128)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 12:16 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -348636*a*o**3*z**3 + 8*a*o**3*z**2 - 7*a*o**2*z - 2*a*o*z**3 + 631*a*o*z + 12*a*z - 2*o**2*z**2 wrt o.\nAnswer: -2091816*a*z**3 + 48*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) - 2*sqrt(720))*5 + 2 - (1 + (sqrt(720) - -2*sqrt(720) - sqrt(720)))*5)**2.\nAnswer: 1080*sqrt(5) + 162009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -11*c**3 - c**2 - 14*c + 1. What is the hundreds digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 0 = 5*x - 20, 5 = 3*x + 4*z. Suppose 658 = -x*w - 2*l, -3*w - 395 = l + 261. Let n = -129 - w. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 11:44 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (1 - -1) + -1 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u - 2. Suppose -6*y + z = -2*y - 9, -2*y + 9 = z. Suppose y = 2*n - 5. Suppose -6 = n*o + 14. Give w(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.1 - 3.4. Let i = 1.5 + x. Let p = 35 - 69\/2. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.676 bigger than 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dtp when three letters picked without replacement from {t: 3, p: 2, a: 1, d: 7, c: 6}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + h + 7, -s = -2*h - 2*h - 7. What is the remainder when s is divided by (2\/(-3))\/(3\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -3*j - 6 - 0, -j = -1. Let 0*d**2 + 3\/4*d - 3\/4*d**l + 0 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2044012 (base 6) to base 5\nAnswer: -11134433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 3*j + 30 = 0. Calculate the remainder when 57 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + 2)\/(24\/208). Suppose 24*o - z*o + 502 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*i - 2*i + 5*i as j + k*i and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 17 = -16. What is the smallest value in 1\/4, 0.5, 0.18, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104 and 6214.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4911184605 a multiple of 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 2, 1, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*n*q + 4447*n + 525*q - 17 wrt q.\nAnswer: -46*n + 525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 23680, 47155, 70630, 94105?\n\"Answer: 23475*a + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -213*d**4 + 2*d**3 + 26*d**2 - 617*d + 22.\nAnswer: -2556*d**2 + 12*d + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u + 36 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 216.4 - 18.4. Let x = h + -198. Let y(v) = -v**3 - v**2 + v + 3. Let s be y(0). Sort 0.1, s, x, -10 in increasing order.\nAnswer: -10, x, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31360, 125368, 282048, 501400?\nAnswer: 783424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43731056?\nAnswer: 2, 47, 58153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -663. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + -7. Suppose 11*z = c*z. Suppose z*q = q + 44000. What is q rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-10) - (0 - 560\/50). Solve -2 = 13*s - h*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1723*j - 19315 - 23223 = 24659 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -48. Let a(c) = -c**3 - 7*c**2 + 7*c - 3. Let j be a(m). Suppose -3*v = j*u - 328, 3*v + u - 2*u - 298 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + c = 5*d - 3505, 10515 = 3*c - 2*d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 - 39. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 2*m**3 - 3*m)*(2*m + 4*m - 5*m + m + 2 - 2 + m + m + 0*m - 2*m + 2*m + m + (-1 + 1 - 1)*(1 - 1 - 2*m) + 32*m - 3*m + 34*m - 3*m + 2*m + 3*m).\nAnswer: -144*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (360\/(-50))\/(-18) - (-1 + 0)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1400880 and 845?\nAnswer: 18211440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 48289, 193136, 434543, 772510, 1207037, 1738124, 2365771?\n\"Answer: 48280*r**2 + 7*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pzzpzppzzpppz. What is prob of sequence zppz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 20\/6 - (-1 - -2). Let l be (-26)\/(-5) - (372\/60 + -6). Suppose 5*v + 0 = -2*y + l, 29 = 5*y - 4*v. What is the nearest to t in 4, 2\/17, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -w**9\/126 + 179*w**8\/84 + 379*w**5\/30 - 27*w**2 - 10. Find the third derivative of s(u) wrt u.\nAnswer: -480*u**3 + 42960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5024.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(3\/13))\/z)\/z*z)**(-31) assuming z is positive.\nAnswer: z**(-93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a + 3. Let q be 1\/(-5) - 11\/(-5). Let x be 3 + (q - 2)\/2. What is f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 229003080 to the nearest integer?\nAnswer: 15133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 1:44 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*m + 180*m = -82*m - 6664 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46978, -46862, -46746, -46630, -46514, -46398?\nAnswer: -46282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**3 - 189680*t**2 - 1768386785*t + 581688985110 = 0. What is t?\nAnswer: -19127, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 12:08 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 411 is divided by 34 - (0*3\/33 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 8 = 0, 4*f - 11 = -f + 3*h. Suppose 5*n - 2*n = -c + 3, 0 = -4*c - 5*n + 12. Suppose -c*u - 3*z = 6, -3*u - z - 5 = -u. Sort f, -4, u.\nAnswer: -4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 675 - 673. Suppose q + 4*r = 5, 5*r + 19 = f*q + 9. Let g be (0 - 1)\/(2\/(-6)). Solve q*a + g = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1438 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) 4  (c) -3\/85  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 297 (base 15) to base 6.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in -4, 137, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 56a00a + -5?\nAnswer: 56a005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1\/3)\/i**17 assuming i is positive.\nAnswer: i**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14.2 - 16.4. Let b = -21.5 - -21.1. Let s = 17\/30 + -7\/6. Sort b, i, s in decreasing order.\nAnswer: b, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-213 - 25 - -170) + (-1 + 2 + 0 - -3)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 13 = -f, p + 65 = -3*f + 60. Let u(d) = -d - 5. Let g(m) = -3*m - 16. Let n(i) = 6*g(i) - 17*u(i). Determine n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.544 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 30  (b) -1\/45  (c) 0.5  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**6*d*d\/(d\/(d*d*d**(-6))))\/((d\/(d**(2\/7)*d))\/d**(-11)) assuming d is positive.\nAnswer: d**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1684334863 rounded to three dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33438?\nAnswer: 2, 3, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 - 60 - (-85)\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -8. Suppose c*w - 1014 = w. Let r be w\/12 + 2\/4. Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75 + 37 + 39 + 13*a**4 + (-4*a + 2*a + 3*a)*(0*a**2 + 0*a**2 + 2*a**3) to n + m*a + b*a**4 + q*a**3 + k*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000039482597 to seven decimal places.\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*a**3*c*n*p - 2*a**3*c + 17*a**3*n**2*p - 33*a**3*n**2 + c*n**2 - 108*c*n*p + 4*c*n wrt n?\nAnswer: 34*a**3*p - 66*a**3 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from rraaratt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/4 - (-9)\/12. Suppose -5*v - 22 + 7 = q. Let i = v - -6. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 275 + -150. Suppose j + 14 = -70. Let v = h + j. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11)\/165*42\/(-8). Let l(i) be the second derivative of -5*i + 0 + 1\/6*i**4 + 0*i**3 + 0*i**2 - h*i**5. What is the third derivative of l(j) wrt j?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 - 20*s - 17. Let k be f(11). Solve -k = -0*g - g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.230381844 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-30)\/(-12) + 2\/4. Calculate the smallest common multiple of 4 and 27\/t + -1 - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -8*g**3 - g**2 - 3*g - 1. What is m(-2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3091433, -6182859, -9274285, -12365711, -15457137, -18548563?\n\"Answer: -3091426*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 39, 94, 187, 330, 535, 814, 1179?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 75 + -77. Let l = -3 + 0. Let g = l + 3. Which is the nearest to 0.1?  (a) g  (b) 2\/9  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 140*o**3*x - 8622*o**3 + o**2*x - 467*o*x - 2875*o wrt o.\nAnswer: 840*o*x - 51732*o + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 147, 149, 151, 153?\n\"Answer: 2*k + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84, -10, 64, 138, 212?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -23 divided by -5\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 6:37 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100100000 (base 2) to base 16.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - x - 2*x + 282, 5*s + x = 482. Let p = 2424\/25 - s. Sort p, 0.3, 2\/9 in descending order.\nAnswer: 0.3, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6139 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88826414 or 1\/2?\nAnswer: -88826414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + ((sqrt(68)\/(sqrt(16)\/sqrt(4)))**2 - sqrt(17)) - (sqrt(68)\/sqrt(4) + -4).\nAnswer: -sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 45\/(-9) - (-68 + 1). Let f = p - 60. Solve -w + 2*n - 6 = -2, -f*w - 8 = 2*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3341154 (base 6) in base 16?\nAnswer: 2933e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 2462812?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -388 + 543. List the prime factors of k.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 79 = -149. Calculate the remainder when x is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/10*(12 + (-679)\/56)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534010*l - 20 = -534014*l - 4*j, 2*l - 15 = 2*l - 3*l + 13*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -114 + 100 + -16 - 55?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*m - 129*m + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 5*l**3 - 4*l**2 + 5*l + 4. Suppose 3*u - 6*u - 27 = 0. Let w(c) = 56*c**2 + 11*c - 65*c**2 + 12*c**3 - c**3 + 9. Give u*f(y) + 4*w(y).\nAnswer: -y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -11*i + 11*i - 38. Solve 16*b + 13 + i = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -74*t**2 - 14*t - 17. Let q be k(7). Let j = 5474 + q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -950, -969, -1010, -1079, -1182?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand g - g - 2*g**4 + (-g**2 - 3*g + 3*g)*(-3*g**2 + 3*g**2 + 2*g**2) + 2162 + 35*g**4 - 2162.\nAnswer: 31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 4*j**2 + 1. Let r be a(4). Let q(h) be the first derivative of -2\/3*h**3 + 0*h + 0*h**2 + 1\/2*h**4 + r. Solve q(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*r - 3715 = -12968. Let g = r - -491. What is the third smallest value in 2, g, 1\/5, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 3 + 4 - (228 + -234)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1381 divide 2045261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 2303423?\nAnswer: -2303424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c\/(((c\/(c\/(c**17*c)))\/c)\/c)*c)\/c*c**10*(c**(-6))**18)**41 assuming c is positive.\nAnswer: c**(-4592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17.52026 + 89.5217. Let y = z + -72. What is y rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*a**2 + 571*a**4 + 5*a**3 - 574*a**4 - 3 + 1 as g*a**4 + k*a**3 + s*a**2 + x + u*a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230*s - 252 = -236*s. What is the remainder when 126 - (4 - 4\/4) is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5\/((-50)\/8))\/2. Let u be ((-6)\/10)\/(3 + 56\/(-20)). Let a be (-8)\/(-20) + 196\/60 + u. What is the smallest value in -4, r, a, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 12:50 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10\/267 and ((-41)\/205)\/(3\/106) + 1?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 363522 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -291, -1 in decreasing order.\nAnswer: -1, -2, -3, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/12)\/(63\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + 3 - 3*118. Let h = d - -498. Suppose h - 25 = 3*g. What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -96.04 - -31.77. Let l = p - -65. Round l to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 16, m - 22 = -2*h - 0*h. Find the first derivative of m + 32 + 13 + 46 + 34*c**2 + c wrt c.\nAnswer: 68*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.28267 + 0.1.\nAnswer: 0.38267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x - 3 + 6*x**2 - 2*x + 5*x.\nAnswer: 6*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2236 - 3148 = 57*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g - 46. Let b(j) = -7. Let c(w) = 14*b(w) - 2*d(w). Let k(m) = 0*m - 4*m + 6*m + 7. Suppose 13 = -4*i + 37. Give i*k(u) + 7*c(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1261516496*i*w + 491747600*w wrt i?\nAnswer: -1261516496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w - 40. Let h be a(12). Is (142\/4)\/((-7)\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -d**6\/720 + 49*d**5\/360 + 209*d**4\/144 + 53*d**3\/12 + 1076*d**2. Factor h(q).\nAnswer: -(q - 53)*(q + 1)*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 677 a factor of 2986700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 less than -14159?\nAnswer: -14204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -2882?\nAnswer: 2\/1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**4 + 3*k**4 - 4*k**4)*(89*k - 96 + 95 + 187*k).\nAnswer: -276*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/20 and 123\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyggygggg. What is prob of sequence ygy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -198, -1, -2, 0.03, -0.4, 1\/76 in decreasing order.\nAnswer: 0.03, 1\/76, -0.4, -1, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39 + 28 - 9) + 19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1492 divided by 1492.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -295\/8  (b) -5\/4  (c) 0.5  (d) 0.3  (e) -12  (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -3*z**6 - 1338*z**5\/5 - 764*z**4 - 2312*z**3\/3 - 288*z**2 + 4075. Find x such that h(x) = 0.\nAnswer: -72, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458223 is divided by 615.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 - 13\/(-21). Let i = -2 - -7. Let w be 2\/(8\/i - 2). What is the third biggest value in w, s, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.2 and -0.019.\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**4\/7 - 23696*u**3\/7 - 165980*u**2\/7 + 118400*u\/7 + 1778250\/7 = 0. What is u?\nAnswer: -5, 3, 11855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j - 19. Let h be w(0). Let v = h - -30. Let n = v - 3. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 37*h**2 - 104*h + 66. Let w be j(34). Let x(z) = 9*z**3 + 5*z**2 + 3*z - 1. Calculate x(w).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 391 + -351. Calculate the highest common factor of j and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b03206 (base 12) in base 8?\nAnswer: 12354546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010176 (base 9) to base 13.\nAnswer: 15ac44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*j + 11*j - 4. Let w(p) = 3 - 2 - j*p**2 - 3*p + 6*p**3 - 6 + 7. Is w(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 363460 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 93135550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11662555 rounded to the nearest one hundred thousand?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -301332 (base 5) in base 11?\nAnswer: -7230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4594874*s - 4594878*s + 3 + 2.\nAnswer: -4*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -117*i + 1 - 117*i + 884*i + 1212*i to z + p*i and give p.\nAnswer: 1862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 142 + -119 - (41 + 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0 + 4 = 0. Suppose -2*d - 3*g + 149 = 131, d - 8 = -g. What is the derivative of -9*a + 9*a + 5 - d*a**k wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 216 = 5*q, -3*q + 4*i + 147 = -6*q. Let s = -35 - q. Let x be 2\/((2\/4)\/1). What is the highest common factor of x and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**2*x**3 - 244*o**2 - 19*x**3 - 6 wrt o.\nAnswer: 6*o*x**3 - 488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3271630891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -7*b + 4*u - 12, -4*u + 18 = b. Solve 2*l + b = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zjs when three letters picked without replacement from ozapopjosajjaasaszp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 2*c - 35 = -5*c, -3*c + 13 = s. Suppose -x = x - s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 18*y + 19. Determine f(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -7 - (7 + 58\/(-4)). Let x be (2\/(-2))\/(8\/12). Let u = -0.525 + 0.025. Which is the smallest value?  (a) x  (b) u  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -331039 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 7*q - 4*q = -16, -5*q = -3*f + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -1 + 2 - 8*w**2 - 2*w + 16*w**2 - 7*w**2 + 8*w**3 + 0. Suppose -j + 5 = 4*j. What is the remainder when 21 is divided by i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14987.8261 from -2.\nAnswer: -14989.8261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(70) - -2*2*sqrt(70) - sqrt(70)*2*-5)\/(sqrt(120)\/(sqrt(240)\/sqrt(5))) + 2.\nAnswer: -30*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, t: 12, d: 3}. What is prob of picking 2 t?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1660\/99 - -10\/99. Let d = g - -247\/15. Which is the third smallest value?  (a) -6\/7  (b) d  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffffffpffffpfff. What is prob of picking 1 f and 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3.4, 3\/35, 1\/5?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h - 5. Let r be g(5). Suppose -225 = -r*s - 5*s. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -36 and -454?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12761948?\nAnswer: 2, 181, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*k - 55 - 8 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -110494842.\nAnswer: -110494840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56682 is divided by 8036.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 6:36 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1521164 (base 7) to base 4\nAnswer: -302201030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-177)\/(-1180) + -7*6\/(-420).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6 - 22\/(-6)*6. What is the highest common factor of 272 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18.3 - 19. Let q = t + 0.69999991. What is q rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4560 and 3777690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1440\/713 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -548d (base 14) to base 7\nAnswer: -60436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*l + 12 = 7, 10 = -3*k - l. Let j = 0.14 - -2.86. Sort j, 1\/5, 0.3, k in ascending order.\nAnswer: k, 1\/5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 958130849590 - -1?\nAnswer: 958130849591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76 - -80. Suppose n*q - 7*q - 2*x = -20, -q + x = 0. What is v in 8\/7*v**3 + 2\/7 - 6\/7*v**q + 4\/7*v**2 - 8\/7*v = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u + 35 = -12*u - 5*f, 6 = 2*u + 2*f. Sort u, 2, 322 in increasing order.\nAnswer: 2, u, 322","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15480 - -34637. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0598 - 112.0598. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1776*f**3*y**2 - 2*f**3 - 14*f*y - y wrt y.\nAnswer: 3552*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**4 - g**4 - 2*g**4 + (19*g**2 - 138*g**2 - 72*g**3 + 141*g**2)*(2*g - 4*g - 2 + g).\nAnswer: 73*g**4 + 122*g**3 - 44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-33))\/((-6)\/11).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 3, -4, -6639, 2, -2.\nAnswer: -6639, -4, -2, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - a = -12840 + 45064, -5*x + 53686 = -12*a. Calculate the remainder when x is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-104)\/364 - 68\/7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgg when three letters picked without replacement from yygyygyyyt.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l = -3*s + 2*l - 28, 3*l + 17 = -2*s. Let o = s - -5. What is the third derivative of 2*h**3 + 3*h**2 - o*h**2 - h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 235 - 6*m**3 - 118 - 117.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7854\/(-12) - (-3)\/(-6). Suppose 2*m = -5*t + 7*m - 35, t - 4*m = -13. What is the units digit of x\/(-25) - (-1)\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48890592 a multiple of 3112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -161315 + -6?\nAnswer: -161322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3021454 + -53?\nAnswer: -3021551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 1 - (-4 - (-15 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 + 35\/(-11 - -6) and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.45 times 0.04?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12  (b) 2  (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2575316833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1754.63 + 1?\nAnswer: 1755.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.095 - 1.095. Which is the closest to q?  (a) -0.07  (b) -0.1  (c) 0  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 25\/2478 or -1?\nAnswer: 25\/2478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 8507.57ug?\nAnswer: 0.00850757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 551 + -557. What is the third smallest value in 4, 3\/5, c, 0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1006, -3836, -8548, -15142, -23618?\n\"Answer: -941*n**2 - 7*n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.108776 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1059, 13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 + -32. Suppose -q - 5 = -3*l, -x*l + l = 2*q - 35. Calculate the lowest common multiple of 16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -119291, -119336, -119381?\nAnswer: -119426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p**3 - 7*p**2 - 4*p + 2. Let q(v) = v**3 + v**2 + v - 1. Let z = 12 - 13. Let c(t) = z*u(t) - 2*q(t). Is 8 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/1)\/(123\/(-108240)*-176)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 440980988 and 3339?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.664724084 - 0.4.\nAnswer: -1.064724084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/21)\/((r\/(r\/((r*r\/(r\/r**(-4\/9)))\/r)))\/r))\/(r**9\/(r*r**8)) assuming r is positive.\nAnswer: r**(97\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*q + q + 0*q + 6*q to j*q + b and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4 - (687884\/(-163392) + 3*3\/36) and 1\/6?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -350 = 2*p + 29*p - 6*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3*0.05\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 12*l + 24. Let d be t(10). Suppose d*w - 2*b = -0*b + 482, -w + 119 = -2*b. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2. Let q(c) = -43*c**2 - 18. Determine d(q(m)).\nAnswer: 1849*m**4 + 1548*m**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*m - 26 + 26)*(-32*m - 2*m - 43*m)*(2 + 1 - 1).\nAnswer: 1232*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of 0*k**3 - 1\/126*k**7 + 0 - 20*k**2 + 0*k**4 - 1\/30*k**6 - 1\/45*k**5 + 0*k. Factor d(g).\nAnswer: -g**2*(g + 2)*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*i - 3*u, 0 - 1 = -i + u. Let d = 0.4 - 0.3. Let l = -0.2 + d. Which is the biggest value?  (a) -4  (b) i  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16894290*c**3 - 16894145*c**3 - 3*c - 7*c + 10*c.\nAnswer: 145*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**5 + 6*l**4 - 8*l**3 = 0 for l.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**4\/j**(-2\/19))\/(((j**(-2\/23)\/j)\/j)\/((j\/(j*j**(-1\/6)))\/j)) assuming j is positive.\nAnswer: j**(14051\/2622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {e: 1, g: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19000\/(-56)*(-8 - -7) - 2\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(-1 + 7 - 2)*(0*q - 6*q + q).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 329824067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010111 + -11?\nAnswer: -1010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-165 - -117)*730000\/(-2). Round s to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5726.1 minus -2?\nAnswer: 5728.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 10*l - 12. Let p be d(-9). Find the common denominator of (-10)\/12 - (-11)\/((-264)\/(-16)) and p\/(-16)*(-3 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 59 = -1. Let r be 265\/10 - y\/8. Suppose -2*z - 4*u + 36 = 0, 2*z = 3*z - 5*u - r. 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: Simplify (z**4*z*z*z*z**(-15)*z*(z\/(z\/z**0))**(-2\/15))**(-2\/3) assuming z is positive.\nAnswer: z**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2562929 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 223005299 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 5\/8*b**4 + 0*b + 3 - b**2 - 4\/3*b**3. Factor m(c).\nAnswer: c*(c - 2)*(5*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*p - 2*i, 0 = 3*p - 0*i - 2*i - 11. Let h(q) = 3*q**2 + 1. Let k be h(p). Solve k*z - 18 = -5*g, 3*z + 4*g = 2*g + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 1428?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -21*z - 1. Let u be v(-1). Let g be 3\/(-6) + 2\/u. Let l = -0.5 - -0.4. Which is the second biggest value?  (a) 0.2  (b) l  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -21, -0.25, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 183, 440, 799, 1260, 1823, 2488?\nAnswer: 3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -41252, -41257, -41264, -41273, -41284, -41297, -41312?\n\"Answer: -x**2 - 2*x - 41249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 + -1b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) 2\/19  (c) 20064  (d) 1\/4  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1552*r**5 + 4 + 150066*r - 150056*r + 36 wrt r.\nAnswer: -31040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/72*-3)\/((-15)\/(-45)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 953453.2 years?\nAnswer: 953.4532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 0*t - t**3 + 6*t - 14 + 42*t**2 - 49*t**2. Let a be c(-8). Let b be 462\/63*3\/a. Solve -4*m - 3 = -b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**4\/24 - p**3\/3 + 7*p**2. Suppose 6*g = 7*g + 36. Let x = g + 36. What is k(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 0*t**2 + 0*t + 3 + 0*t**5 + t**3 + 0*t**4 + 1\/6*t**6. What is the third derivative of y(r) wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3715555437 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 220319216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 373069000 to the nearest one million.\nAnswer: 373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-48)\/(11 + 1) + (-15)\/(-4). Sort -2\/5, -1\/46, z in descending order.\nAnswer: -1\/46, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 5 = j. Let f = j + 11. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24 or 165\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -2. Let u = 153 - 77. Let v = 149\/2 - u. What is the closest to -1\/6 in v, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -4*k**3\/3 - 2*k**2 - 11*k - 4. Let q(d) = -2*d**2 - 2*d - 6. Suppose -6 = w - 2*w. Determine w*v(u) - 11*q(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/2 - 75*q**3\/2.\nAnswer: -q**3*(q + 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 3*f**2 - 2. Let x(q) = 7*q**2 - q - 5. Let p(n) = -5*a(n) + 2*x(n). Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2244726.79190031 + -2244589.7919. Let h = u - 137. What is h rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(3\/2))**(5\/7)*(h**6\/h)\/(h*h**11) assuming h is positive.\nAnswer: h**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-84854)\/(-1767) - (-100)\/(-4650)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 15707, 31312, 46815, 62210, 77491, 92652, 107687, 122590?\n\"Answer: -j**3 - 45*j**2 + 15747*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 6*r**2 + 12*r + 2. What is the remainder when n(-8) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265374 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*j + v - 5, -2*v - 6 = -4*j. Let b = 9 - j. What is the remainder when b is divided by (12\/(-8))\/((-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 96*g - 1. Let n be p(-1). Let c(u) = 3*u**2 + 71*u + 173. Let a be c(-20). Let j = a - n. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3731 (base 14) in base 13?\nAnswer: 4511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 467 = -0*j - 4*j, -4*b = -5*j - 589. Let l be 7\/(-35) + (-576)\/(-5). Let n = j + l. Which is smaller: n or -8\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {w: 2, u: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 239993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2510 (base 6) to base 10.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/141 - 53\/423. Let u = 2 + -7\/4. Calculate the common denominator of r and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -1\/6, -2, -0.4, 2458?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.1  (b) -3  (c) -4  (d) -0.5  (e) 565.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0038477 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -5*y + 104. Determine w(6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + o - 9. Let c be x(0). Let z = c - -17. Solve 29 = -b + z*p - 3*p, 0 = b - 2*p + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 2*z**2 + 8\/3 - 8*z + 10\/3*z**3 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48881\/5 at least 9776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w**2 - 54*w - 351. Determine c(-17).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6078.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 20*v + 105. Calculate t(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**2. Let k(p) = 11*p - 7. Let r(a) = 10*a - 11. Suppose -3*q - 8*q - 22 = 0. Let l(x) = q*r(x) + 3*k(x). Determine l(w(u)).\nAnswer: 39*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2970 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**3 + 41*a**2 - 18*a - 40. Let d be u(20). Suppose -5*s = -d*s - 1030. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -6*w**3 - 9*w**2 - 15*w. Let q(t) = 3*t**3 + 4*t**2 + 7*t. Determine 4*n(z) + 9*q(z).\nAnswer: 3*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 62 = 4*d + 19, -v + 13 = d. Suppose 0 = 2*o - 3*q - 2*q - 26, -2*o = -q - d. What is the units digit of (((-196)\/3)\/(-2))\/(1\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5613\/8 or -53\/3?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42 - (79 + 16 + -47)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00432302 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 6:34 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1215 or -47362\/39?\nAnswer: -1215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12905.1 + -12905. What is the closest to 0.1 in -9, -5, c, -0.01?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -14\/3*z**3 - 6 + 0*z**2 + 10*z. Differentiate y(d) with respect to d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -83\/27335 or 1?\nAnswer: -83\/27335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11\/38 - 4\/19. Let n(m) = -m**3 + 4*m**2 + 12*m - 5. Let y be n(6). Put b, y, 0.6 in descending order.\nAnswer: 0.6, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**3 + 12799*l**2 + 61842*l + 2?\nAnswer: -6*l + 25598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 2*g**2 + 5*g + 1. Let p(n) = -n. Suppose 147*l = 151*l - 468. Suppose 5*y - 107 = -l. Determine y*k(m) - 10*p(m).\nAnswer: 2*m**3 - 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -m**8\/10080 - m**5\/60 - 5*m**2. Let g(s) be the third derivative of w(s). Let u(a) = -3*a. Calculate u(g(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 44 = 8. Let p be ((-220)\/6)\/(4\/i). Suppose 2*g - p = -g + 2*n, 0 = -5*g + n + 188. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 78 = -39*p + 4*d, p + 2*d = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3356922.\nAnswer: 2, 3, 17, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20786*h**3*p**3 - 2*h**2*p + 20*h*p**3 + 6*h - p wrt h.\nAnswer: -124716*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -690\/448283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of d**5\/210 + 11*d**4\/84 - 6*d**3 - 355*d**2 - 2. Factor g(a).\nAnswer: 2*(a - 7)*(a + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-15) - (-14)\/10. Suppose l + 4*w = 9, a = w - 0. Suppose 0 = -5*g + 3*b + 9, 0*b - l*b = -10. Put 5, g, -4 in increasing order.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 9*n**3 + 2*n**2 + 5*n - 6. Let b be k(3). Calculate the highest common factor of b and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q + 0*q**2 - q + 2*q + 2 + q**2. Let n be a(0). Factor -3\/5*l**n + 0 + 12\/5*l.\nAnswer: -3*l*(l - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.87072505 to 4 dps.\nAnswer: 0.8707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 6*c - c. Suppose c = -16*l + 12*l + 24. Let j(b) = -b**2 + 3*b. What is j(l)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7059.1578 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12789893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -16*y**3 + 4*y**2 - 6*y + 16. Let w(p) = 3*p**3 - p**2 + p - 3. Let o(b) = -2*n(b) - 11*w(b). Suppose -3*f = -4 - 5. Calculate o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 26\/(-117) - 11\/(-9). Let c = -356\/119 - 170531\/476. Let r = 363 + c. What is the biggest value in t, 2\/9, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -116 - -1857\/16. What is the biggest value in 0, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 1:55 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/8 - 45*k\/8 + 57\/2.\nAnswer: -3*(k - 4)*(k + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, u: 1}. Give prob of picking 1 l and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 2*p. List the prime factors of 18 + (p - -2) + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18748 divided by 122\nAnswer: 9374\/61","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-5 + 13 + -4 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 113692622 by 1.\nAnswer: 113692622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28*q**2*s - 154492*q*s + 11372488*s wrt q?\nAnswer: -56*q*s - 154492*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i - 1588752 = -84*i. List the prime factors of i.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 95632 and 143448?\nAnswer: 286896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 725 - 716. Solve 0 = -2*s + 5*r - 2 - v, 4*s = r - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of z**5\/20 + 5*z**4\/12 - z**3\/6 + 2*z**2 + 6*z. Let t be q(-5). Suppose -t + 304 = 5*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13193\/(-632))\/167 + (-4809)\/56.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3270280 and 215150?\nAnswer: 16351400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -9*u**3 - 3*u**2 + 5*u + 1. Let m(z) = -z**3 + 8*z**2 + 10*z - 4. Let l be m(9). Let y(i) = 14*i**3 + 5*i**2 - 8*i - 2. What is l*y(o) + 8*n(o)?\nAnswer: -2*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 20.1841.\nAnswer: -20.1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 85\/20 + -4*(1 + 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/1476 and 71\/625824.\nAnswer: 625824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oeoomobbobmgoboo. What is prob of sequence og?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.03 - 8. Let n = 88 + -614\/7. Let v(s) = 39*s - 434. Let i be v(11). Which is the closest to n?  (a) i  (b) w  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -6299?\nAnswer: 6294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -458.4 * -33467\nAnswer: 15341272.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 6 - 13 = -2*h, 0 = 4*x + 3*h - 26. Suppose x*s - 24*s + 2109 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110 (base 2) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 182114?\nAnswer: 2, 23, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l - 9. Let n be g(-7). Suppose 17*s - 10 = 7*s. Solve -n*k - s = 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -309026 + 309026. Let q = 3 + -2. Let f be (-1 - -2)\/(q\/9). Solve 0*i + 3*i + 3*t + f = h, 3*i - 2*t + 14 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 10*r**2 - 4*r - 11. Suppose j = -4 - 1. Is a(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -5. Suppose 0 = 10*o - 6 + 16. Put 6, y, o in increasing order.\nAnswer: o, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, z: 1, p: 3, b: 4, k: 2, d: 2}. Give prob of picking 1 d and 1 b.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45 + -8. Let y = -36.9 + q. Which is the second biggest value?  (a) -2\/5  (b) y  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1845, -1857, -1877, -1905?\n\"Answer: -4*n**2 - 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s + 54. Let c be z(18). What is the highest common factor of c and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7650 divided by 51.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 116872 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-4))\/((-750)\/2400*36\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4842 and 1689?\nAnswer: 2726046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3677 + -570. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of b**5\/20 - 13*b**4\/12 + b**3\/2 - 8*b**2 + 6*b - 1. Let x be j(13). Suppose 0 = 3*n + x - 356. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of 2*y**6\/135 - 2*y**5\/45 + y + 3. Let n(z) = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -5.3. Let x = 33.9 - -567.1. Let h = x - 596. What is the closest to -2\/3 in c, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 10:00 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44707 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -158 + 1?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-2) + (-51040)\/(-19140).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 9) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 76.79106m in centimeters?\nAnswer: 7679.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13118 is divided by 2619?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11, 17, 17, 11, -1?\n\"Answer: -3*s**2 + 15*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*b**5 + 2*b**5 - b**2 - 5*b**2 - b**5 wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) 1.24  (c) 0  (d) 3  (e) -3\/2  (f) -3776\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 128731481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 530532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5897746 and 17693238.\nAnswer: 17693238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v + 45 - 25 + 87.\nAnswer: -3*v + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111*y - 96*y - 128*y + 90*y to u + x*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**3 - 8*c**3 + 2*c**3 - 2*c**3 + 2 to the form v*c**3 + p*c + k*c**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 3.5  (c) 1.9  (d) -3\/5  (e) -0.2  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8\/211  (b) -25  (c) 2\/9  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -114 - -144. Suppose -4*d + 74 - u = 0. What is the third derivative of -30*t**3 - t**2 + d*t**2 + 9 - 9 wrt t?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 6*w = -44. Suppose 5*y - 5*n = 5, -y + 5*n - 4 = w. What is the second derivative of 5*p - p**y - 4*p**5 - p + 0*p**5 wrt p?\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3*l*t - 2*g**3*t + 7*g**2*l*t + 2*g*l*t + 7*l*t - 2*t wrt g?\nAnswer: 12*g*l*t - 12*g*t + 14*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3\/2, -203 in decreasing order.\nAnswer: 2, 3\/2, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 + 1177?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -o + 5, -2*g + 12 = 5*o + 2. Suppose f - 2*d - 2 = 0, -3*f - 2*d + 7*d + 6 = 0. Let v = f - o. Calculate the greatest common factor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - r + 5, -y - 4*r + 7 = r. Suppose 6*o = 4*o - b + 73, -29 = -o + y*b. Suppose k = o + 107. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = -102*p - 275 - 605 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1201103 + 13?\nAnswer: -1201030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -466118131 + 0?\nAnswer: -466118131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - -2) + (-8)\/(-2). Suppose -2*z - 18 = -3*z - t*h, 4*z - h - 4 = 0. Let s(w) = 18*w - 1. Calculate the remainder when s(z) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2023436 and 30125?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27856150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.04854 + 2.15146. Which is the second smallest value?  (a) -1\/3  (b) z  (c) -1  (d) 5  (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 11*v**4\/7 - 662*v**3\/7 + 289*v**2 - 1600*v\/7 + 228\/7 = 0?\nAnswer: 2\/11, 1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-87)\/(-87))\/((2\/(-3))\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*t - 72011*t**2 + 41*t + 46*t + 72034*t**2.\nAnswer: 23*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 23261*y**2 - 18*y - 6. Let f(s) = 15507*s**2 - 12*s - 4. Let k(b) = 7*f(b) - 5*r(b). Let c be k(7). Round c to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -863 + 578 - 3*x + 457 + 0*x to q*x + u and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 1202?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*j + 47*j - 19*j - 5*j**3 + 10.\nAnswer: -5*j**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 6*g - 384. Suppose -5*u + g = -41. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 24*k + 16 + 1433 = 2*l, -7 = k - 67 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**6*z**3 - 5894*f**4*z**3 + 3*f**2*z**3 + 3734*f*z wrt f.\nAnswer: 120*f**3*z**3 - 141456*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 29*d**4\/4 + 57*d**2\/2 - d + 106. What is the derivative of c(t) wrt t?\nAnswer: 174*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -d**4\/12 + d**3 - 22*d**2. Let q be 3\/6 - (-15)\/2. Suppose -2*f = -q - 0. Calculate y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4291515?\nAnswer: 3, 5, 83, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(sqrt(6) - (sqrt(864) + (sqrt(864) - sqrt(864)*1) + sqrt(864))).\nAnswer: -sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2*-1)\/(12\/(-270)). Let b = -13 + d. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 7*t - 3 = 0. Find the third derivative of -12*s**t + 0*s**4 + 19*s**2 - 7*s**4 + 2*s + 14*s**3 - 4*s wrt s.\nAnswer: -168*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3354, 3319, 3290, 3267, 3250, 3239, 3234?\nAnswer: 3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 386741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -65, 25, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 263840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dggefmdmq. Give prob of sequence mf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 224 and 27664?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -17, -2, 2.\nAnswer: -17, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*n + 4*n**3 - 19*n - 5 - 3*n**3 + 49*n in the form s*n**3 + b*n**2 + u + i*n and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/sqrt(3)) + -1 + -2.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 2\/125, -42, -4\/3.\nAnswer: -42, -4\/3, -0.03, 2\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14 + 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h. Let n(g) = -2*g**2 - 2312. What is n(o(y))?\nAnswer: -8*y**2 - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 10*o - 2. Let s(m) = -18*m - 32. Let u(n) = 2*g(n) + s(n). Let t(b) be the third derivative of -b**4\/12 - 2*b**2. Calculate t(u(l)).\nAnswer: -4*l + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of -a**5\/20 - a**4\/4 - a**3\/6 - a**2\/2 - 2*a. Let o be i(-3). Suppose o*h + 16 = 3*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*w - 6*w + 4*w)*(3 - 3 - 3) + 2*w - w - 2*w + (4 - 4 + w)*(2 - 5 + 2) + 4*w + 0*w - w in the form c + z*w and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2703 - 3542*j**2 + 1433 - 4456 - 2306*j**2 with respect to j.\nAnswer: -11696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.18?  (a) 4  (b) 435  (c) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 254 - 68. Suppose -3*c - 5*j + o = -3*j, -2*c = -j - 39. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + (-4)\/10)*-5. Let z = -2 - l. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -5 - (-52 + 52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -163 (base 8) to base 4.\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + (-2 - -2 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 2232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*c = -31676 + 11880. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**3 - 12*g**2 + 405*g - 1620. Calculate i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 154?  (a) -4\/3  (b) -1\/21  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**3 - 44 + 3*c**2 + 58 - 3*c**2.\nAnswer: 6*c**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 578394769 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -16 - 47. Let l = -44 + o. Let c(t) = 7*t**3 + t - 1. Calculate the remainder when l is divided by c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 792 and 12?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6 + 6 - (-1 - -1). Suppose f = -5*x + 10, 2*l + 4*x + 7 = 23. Solve -c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - o - 4. Let z be w(4). Let y be (-50)\/(-4)*z\/20. Suppose -9*t = -y*t - 68. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*sqrt(153) + sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153) - sqrt(153)*3*3))))\/(-3*sqrt(576)*1 + sqrt(576)*-2*-3).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -106.71 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14e08 - 5?\nAnswer: 14e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3008*d - 283320 = -140*d for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 17*k**2 - 27*k - 125. Does 73 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = v + 8 - 6, 0 = -5*v + 3*m + 11. Calculate the remainder when 31 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.3*1\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**2 - 5*g**2 + 5*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 260 and 27942655.\nAnswer: 111770620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -166\nAnswer: 5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -178 - -234. What is the remainder when x is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1924388777 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**3\/7 - 1924*x**2 + 440336*x\/7 - 826832\/7 = 0. Calculate x.\nAnswer: 2, 31, 3334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**2\/5 - 17087864*l\/5 - 17087868\/5 = 0 for l.\nAnswer: -1, 4271967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 3*r**2 - 3*r - 4. What is u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 12:33 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2039*q**3 + 1985*q**3 - 4490*q**3.\nAnswer: -466*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 568759726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4636\/(-133))\/(1\/(-7)). Let f = t + -246. Which is smaller: f or -9\/16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1050 + -626. Let w = -219 + c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 16*r - 28. Let l(d) = 0 - 38 + 87*d - 102*d + d**2. Let i be l(18). Does 15 divide v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/((-904)\/(-675288))*(-2)\/(4*-3).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5131 - 46181\/9. What is the nearest to -2\/7 in -0.175, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 418*p**2 - 9471*p + 5908. Give x(394).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 321 a factor of 528677049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -69 - -68. Let j = 0.249 - -0.151. Put 0.3, -4, l, j in descending order.\nAnswer: j, 0.3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 36 - u - 4 - 13 + 2*u. Give y(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*h + 47*h + 16 = 0. Suppose 0 = q + 6 - 0. Let s be 10\/15*q\/(-2). Sort -3, -1, s, h in descending order.\nAnswer: s, -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/247 and -36\/133.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o\/(o**(-15)\/o))\/o)\/o))**(-7) assuming o is positive.\nAnswer: o**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 14*b**3 + 9*b**2 + 8*b - 16. Let j(r) = -9*r**3 - 6*r**2 - 5*r + 10. Determine -8*j(f) - 5*q(f).\nAnswer: 2*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -660 + 666 = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*p + 3*h, -2*p - 18 = -4*p - 2*h. Sort 8, -3, 0, p in ascending order.\nAnswer: -3, 0, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -334 - -338. Solve -2*b = 2*b - v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 161\/((-10948)\/(-1819)) + 2\/8 + 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - -13 - 6 - (25 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3*i - i = 6, -4*i - 10 = -3*n. Suppose -4*c**3 + n*c**2 + c + 2*c**4 + c - 2*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1818 + 2787. What are the prime factors of r?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**(3\/10)))\/(l**2\/l)*l**(3\/10)\/(l*l**(-8))*(((l\/l**(-6\/13))\/l*l*l*l*l)\/(l\/((l*l\/l**(-1\/3)*l)\/l)))**(-32) assuming l is positive.\nAnswer: l**(-34873\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 59 - 28 + 304171*a**2 - 304824*a**2.\nAnswer: -653*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 165 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 523297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of q**7\/105 - q**4\/12 + 21*q**2\/2 - 5. Let z(h) be the second derivative of r(h). What is the second derivative of z(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -1\/21, 3, -1\/115, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m + 3. Let f(u) = 4*u - 9. Calculate 2*f(i) + 7*h(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y\/(y\/(y**1\/y*y)))**49*y**0\/(y*y*y\/(y\/y**(6\/7))*y)*((y**(-1)\/y)\/(((y**(-3\/5)*y)\/y)\/y))\/(y**(-1))**(-2) assuming y is positive.\nAnswer: y**(4926\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in -0.05, 0.3, 3, -3\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 + 29. Let y = -10 + 15. Let o be -2 + -1 + 1 - 3. Put r, y, o in descending order.\nAnswer: y, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000 + 101111?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u - 4. Let h be x(-6). Suppose h*o + 3*q - 166 = 4*q, 0 = -2*o + 2*q + 164. Suppose o = 5*f - f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -93\/5470 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*s**5 - 15*s**5 - 53*s**5 + (-2*s**3 + 4*s - 4*s)*(-s**2 - 2 + 2) - 4 + s**5 + 4.\nAnswer: -35*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -15*u**2 - 210*u + 140. Let j(k) = -k**2 - 15*k + 10. Let f(g) = -6*c(g) + 85*j(g). What is n in f(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7*160\/168*(-852)\/10. Find the common denominator of 1\/12 and ((-1)\/(-108))\/((-8)\/p).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 2301 = -105. Is 1\/3 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqkqqqqqqqkqqqk. Give prob of sequence qqkq.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41*j - 6 + 6)*(-1 + 4 - 2).\nAnswer: -41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 8. Let o be (-23)\/(-4) + (-2)\/(-8). Let b be (-4)\/(-22) - 6\/33. Solve b = 2*h + 2*t - r*t + 6, -t - o = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 710258555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, 0.3, -3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9 + 1 - (-4 + 1). Let n = -29 - v. Let m = -5 - n. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16684 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -42 less than -390\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5234572, -2.\nAnswer: -5, -2, 5234572","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - 3*y - 2. Let n(x) = 74*x**2 + 9*x + 245. Suppose -20 + 25 = 5*d. Let r(h) = d*n(h) + 3*l(h). Differentiate r(m) wrt m.\nAnswer: 154*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*y + 3*r + 7, 0 = 3*y + 5*r + 10. What is the third derivative of 6*w**2 - y*w**2 + 11*w**6 - 9*w**6 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - (-4)\/(16\/36). Solve -d = -5*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 34*h - 1118 = -73*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1\/21  (b) 15  (c) 5497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 227424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 59115.79 grams in milligrams?\nAnswer: 59115790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 558 and 591387?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 23*u = 24*u + 599, -4*h + 1195 = -u. Calculate the remainder when h is divided by 95.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92 - 11. Suppose 0 = 2*z + z - d. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qc when two letters picked without replacement from qcysccf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286 = 2*u + 3*f, 3*u = -0*u - 2*f + 419. Let q = u + -87. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e3 + 3?\nAnswer: -1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 + 6*s. Suppose 9 = -3*k + 6*k. Is b(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*1\/8*-28. Suppose 0 = 5*v + 38 + w. Let j(k) = -k**2 - 9*k + 5. What is the remainder when 13 is divided by j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/20 and -97\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 2 - 1 - -9. Suppose -t = 15*f - 7*f. Is 4\/11 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 53*g + 436. Let t(l) = -35*l - 291. Let q(i) = 5*d(i) + 7*t(i). Is 7 a factor of q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -68*a + 4. Let k be j(-1). What is the common denominator of 123\/10 and (1*(-3)\/k)\/((-2)\/284)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z**2 + 4*z + 11. Let a(i) = 13*i**2 + 16*i + 46. Let o(q) = -2*a(q) + 9*y(q). Let x be o(-3). Solve 0 = -3*b + x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p = -19*p + 8375. Let j = p + -324. Solve 0 = 3*m - j + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 15, 0 = 2*n - c - c - 20. Suppose 4*v + 16 = 2*v + 2*o, -8 = n*v + 3*o. Is -4 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 1, 4, -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 1770*d - 12 = -1772*d, -f + 5*d - 12 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 8:11 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 4*p**2 - 3*p**2)*(p - p + 2*p) + (-8 + 3 + 3)*(4*p**3 - 6*p**3 + 0*p**3) - p**3 + 2 - 2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 + -4. Suppose -d - t + q = 0, 2 - 17 = -3*t. Suppose d*n + n = -5000. What is n rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 556 by -931.\nAnswer: -556\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.14 + -0.04. Which is greater: x or -1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1681746 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4*f - 6. Let o(s) = 2*s - 31. Let p be o(17). Let w be a(p). Calculate the greatest common divisor of 66 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -2.6. Let m(z) = z**3 + 6*z**2 + 5*z. Let j = 16 + -21. Let b be m(j). Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.413821l?\nAnswer: 3413.821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 1, m: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 53195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*h - 1161*h**3 - 47*h + 2320*h**3 - 1156*h**3.\nAnswer: 3*h**3 + 81*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-111*z**2 + 111*z**2 + 15*z**3)*(-3 + 6 - 2 + (2 + 3 - 6)*(8 + 2 - 7)).\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.677 - 0.073. Let k = r + 9. Let z = -0.15 + k. Sort z, -2\/11, 2 in descending order.\nAnswer: 2, z, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12395 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2, -22, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 (base 3) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (11650\/12)\/5 - (-8)\/(-48). Let h = t + -192. Solve -22 = 3*d + 2*d + h*i, -3*d = -3*i + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 8*j + 54 = 0. What is the greatest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26510, -105842, -238006, -423008, -660854, -951550, -1295102, -1691516?\nAnswer: -2140798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 AM and 10:27 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000575478 rounded to seven decimal places?\nAnswer: -0.0000575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is a6 (base 14) in base 2?\nAnswer: 10010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 4897, -1, 3\/31, 0, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 2482453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1029 is divided by 175.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -3\/26, 5, 2\/3, 1\/20?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 10:24 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 + 3*s - 9. Suppose 3*m + 20 = -4*i + 2*m, -2*m = 2*i + 10. Let z be k(i). Let y = -15 - -12. What is the third smallest value in y, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -3, -72, 5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -21400112 (base 6) in base 7?\nAnswer: -5264054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 28 = -3*a + 2*v, -4*v = -8. Let u = 13 - 10. Suppose w + w + 6 = u*n, a = 3*n - w - 3. Solve n = -4*g - 8, -3*l + 3*g + 2 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 + 4 = -6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-10)*552\/414?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -0.1, 348.2, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b**3 - 75*b**2 - b - 13. Let f be d(-15). Solve -f*m - 8 = l, 4*l + 23 = -4*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v - 33503 = 65985. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) -0.5  (b) -203\/3743  (c) 2\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 3\/176?\nAnswer: 3\/176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 1717 - 12459 = 0. List the prime factors of m.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 242747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18315 = 1642*s - 1627*s. List the prime factors of s.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -784 - -902. Let h(i) = -q*i**3 - 2*i + 3*i + 120*i**3. Determine h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 683 = 2*h + 697 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -3  (b) -0.2  (c) -1\/4  (d) -1  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (139650\/90)\/19*111\/259.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/1303590 and 161\/4432206.\nAnswer: 22161030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -n*p**2 + 5268*n*p - 2*n + p**2 + p + 19936 wrt p?\nAnswer: -2*n*p + 5268*n + 2*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(847))**2 + -2)*2.\nAnswer: 27100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b + 9. Let j be p(-7). Let m(d) = -d**2 - j - 3*d**2 + 3*d**2 - 3 + 6*d. Suppose w = 4*w + 15, 3*l - 35 = 4*w. Calculate m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 11:35 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88685078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 50339050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 59\/7. Let k = -841\/4 + 210. Which is the second smallest value?  (a) 0.4  (b) o  (c) k  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(4*2\/4) - -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1904 - -1893. Put -4, -3, 3, u, 2 in decreasing order.\nAnswer: 3, 2, -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -c**4\/4 + c. Let d(r) = 2*r**2 + 784*r - 784*r. What is u(d(o))?\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 42, 108, 176, 246?\n\"Answer: v**2 + 63*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 12*p - 11. Let k be m(7). Suppose 5*d - k = -d. Suppose 0 = n + n. Which is the closest to 4?  (a) 2\/3  (b) n  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 11100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 115, 179, 345, 661, 1175, 1935, 2989?\n\"Answer: 8*k**3 + 3*k**2 - k + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1198\/(-113810) - (-19796)\/3420.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, o: 3, m: 1, e: 1, r: 3, s: 2}. Give prob of sequence bebo.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -2 + sqrt(68)*2)*-1)**2 - 6*((sqrt(833)*2 - sqrt(833)) + -2 + sqrt(833) + 5)**2.\nAnswer: -19770 - 520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 623504.\nAnswer: 2, 7, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -462 (base 8) to base 15\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1095362?\nAnswer: 2, 547681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kvx when three letters picked without replacement from mkxmkvmxxmmk?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 38008*p**2. Let d(q) = -q**2. Determine d(y(b)).\nAnswer: -1444608064*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4*z - 5. Let b(m) = -7 - 7 - 63*m + 42*m - 12. Give -2*b(c) + 11*x(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 278858 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 4*k - 1586 = 0, 5*o - 33*k + 38*k = 3950. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + q + 40. Let n = q + -6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-75)*(-10)\/(-4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -1. Let j = 18 - 17.3. Let u = j + -0.4. What is the second biggest value in t, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8*10\/4 - 3. Suppose -5*m + 8 = -j, 2*j - m - 13 + 2 = 0. Suppose t + j = 4*u. Let a(x) = x**2 - 6*x - 5. Determine a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 115*c*n**4 - 7*c*n**2 + 563*c*n + 235*c + 1572 wrt n.\nAnswer: 460*c*n**3 - 14*c*n + 563*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4*j + 3 + 5 = 0, 0 = -3*j + 9. Let w be f + 33\/39 - 432\/(-104). Solve 2*n + x = 4*x + 6, -w*x = -3*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 0.02.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*y + 14. Let m be y*-985001 - (-1 - 1). What is m rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(-3)\/c*c))\/c)\/(((c*c**(-7\/3))\/c)\/c) assuming c is positive.\nAnswer: c**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = 5*u, -3*i - 2*i - 7 = -4*u. Let w be 18\/3 - -1 - u. Solve 2*r = -3*g - 0*r + w, -g = 2*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 28.61826ng?\nAnswer: 0.02861826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*l**3*n**2 - 1156*l**3 + l**2*n + 85*l*n**2 - 2*l*n wrt n?\nAnswer: -16*l**3 + 170*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.589 and -1?\nAnswer: -2.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ypq when three letters picked without replacement from qyoyqyqqqyvyyqpqv?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 - 25. Let h = 4286 - 4273. Calculate the remainder when h is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -698*x - 4108. Calculate r(-8).\nAnswer: 1476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10b9b9 (base 12) to base 15.\nAnswer: 54bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = r - 21, -2*b = 19*r - 22*r + 24 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of r**3\/3 + r**2 + r - 4. What is the units digit of c(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 68*z - 64*z. Calculate the remainder when 41 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/102190 and -28\/2915.\nAnswer: 5416070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 + 7 - 16 - 49 - 58.\nAnswer: 2*z**2 - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -15228, -121710, -410712, -973494, -1901316, -3285438?\n\"Answer: -15210*o**3 - 12*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, s: 1, p: 5, w: 4}. What is prob of sequence dw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/9)*d*d\/(d**(-2\/21)\/d))\/((d\/(d*d*d**(-2))*d)\/d**(-3\/10)) assuming d is positive.\nAnswer: d**(641\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12809707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 3, x: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v - 25 = -5*m + 5*v, -15 = 5*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 26*o - 9. Let i be v(1). Which is greater: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 2. Let c(g) = 5*g**2 - 5*g - 1. Let s = 54 + -50. Let q(o) = -4*o**2 + 4*o + 1. Calculate l*c(p) + s*q(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6807 is divided by 214?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 5*r. Let o = 129 + -133. Let j(t) = t**2 - 2. Suppose -2 = w - 0. Let q(u) = 1. Let z(h) = o*q(h) + w*j(h). Calculate z(n(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 11) + 2 + (-35 - (-95 + 45)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -12*t + 91. What is the remainder when 7 is divided by q(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 5) to base 9.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*w + 40, -4*q + 98 = 4*w - 78. What is the greatest common divisor of 344 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.0687  (b) -0.03  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-34)\/255 + (-39)\/45. Let f be (-30)\/(-18) + l + (-2336)\/(-6). What is the greatest common divisor of f and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*p**4 + 4*p**4 - 5*p**4 + (-p**4 - p + p)*(-4 + 0 + 3) - p**3 + 4*p**2 - 6*p**2 - 4*p**4 + 7*p**4.\nAnswer: -11*p**4 - p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -301*y**4\/24 - y**3\/3 + 118*y**2 + 1. Let b be s(-1). What is the highest common factor of b and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16\/9?  (a) 3\/121  (b) -3  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 8) + 1 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.04342 + 8.95342. What is i rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z - 10*z + z + z + 3*z - 2*z + (5 + 4*z - 5)*(0 - 2 + 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 115646325259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -13*k**2 - 11. Suppose 874 - 706 = 28*g. Let u(z) = -3*z**2 - 3. What is g*r(q) - 22*u(q)?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l = 3*l - 116. Let y(g) = -2*g + 33. Let t be y(-11). Let b = l + t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 7 - 8 = 2*a, 45 = -5*a - 4*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 115*o**4 + 3742*o**3 + 1570*o**4 + 87*o**4 - 3740*o**3 + 59*o**2 wrt o?\nAnswer: 42528*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((0 - 0)\/2)\/1. Let k be 5 - 0\/(1 + -2). Let v = k + -1. Solve o = -u + 4*u + 4*s - 1, -u = v*s - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 3*y = 0. Suppose y = -2*t - 0*t + 120. Solve k**3 + k**3 - 68 - 4*k**2 + 96*k - 20*k**2 - t = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 372 * -21509\nAnswer: -8001348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggf when four letters picked without replacement from fgfgggggfggggfffgg.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 279, 267, 255?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 - -0.2. Let v = 72 - 75. Put -1, v, w in decreasing order.\nAnswer: w, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82 or -161\/2?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnjjjnjnnj. Give prob of sequence jnjn.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3*(-4)\/24). Let g = 8 - 6. Suppose -4*f + 252 = q*a, -g*f + f = 4*a - 243. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.101 + -2.56216?\nAnswer: -2.46116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-2 - 2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1422*d = 30659 - 2219 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 420 and 3549.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2482 divide 133528114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9017 a factor of 1631905677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 1\/4*f**2 + 0 = 0. Calculate f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/1107 and -3 - 10153\/16335*-5.\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2202222*v**3 - 8648*v - 10.\nAnswer: 13213332*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8971539 rounded to the nearest 100000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -3*j - 15, 3*j - 5*s = 2*j - 35. Let u be j\/25 - 81\/(-15). Suppose 14 + 6 = u*f. Solve 4*a + 9 = 1, -22 = f*y + a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/475 and -103\/6700?\nAnswer: 127300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 157*g - 162*g = -32, -5*b + g + 0*g = 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 12817.602 days?\nAnswer: 1831.086","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16397*d**3*m*t - d**3*p*t + 5*d**3*p + 41*d**2*p - 5*m*p*t + 23*p*t + 4*t wrt m?\nAnswer: 16397*d**3*t - 5*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j**2 + 3*j**2 - 1538 + 1533 - j**3.\nAnswer: -j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -375 (base 11) to base 15.\nAnswer: -1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17764 + -7399. List the prime factors of h.\nAnswer: 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4968, -4967, -4966, -4965, -4964?\n\"Answer: h - 4969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 e when four letters picked without replacement from ybeeybobb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 13*x - 5. Let w be s(13). Let j = 19 - w. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(660))\/sqrt(12) - sqrt(55) - ((sqrt(880) - 3*sqrt(880)) + sqrt(55)))\/((sqrt(25) - -1*sqrt(1225))\/(1*sqrt(20)\/sqrt(4))))**2.\nAnswer: 891\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 8529*a**2 - 3*a + 5. Let d be c(2). Let r = -1091595\/32 + d. Let l = -85103\/20 - -4260. What is the common denominator of l and r?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-9))\/(-4)*(-1)\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.4, 4806, -1, 5\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -227\/22 - -21\/2. Let t be 6\/(-4)*(-8)\/12. Suppose r + 0*r - 3 = 0. What is the nearest to r in -0.4, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + (2 - 5))\/((-360)\/((-648)\/27)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -37 - (-9 - -9 - (-13 - -1) - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9826, -9805, -9784, -9763, -9742?\n\"Answer: 21*i - 9847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290089 is divided by 64.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 2  (b) 1  (c) 2\/7  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*c - 30*c + 11*c + 4*c + 5*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.722 to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from trtttttrrtttttttttrt. Give prob of picking 1 r and 1 t.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/5 - 126291*a\/5 - 3281538\/5.\nAnswer: -3*(a + 26)*(a + 42071)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 31218344 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 2\/45*h**5 - 97 + 5\/9*h**4 + 0*h**2 + 0*h - 22\/27*h**3. Solve w(l) = 0 for l.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4055 by 1.\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d**5*x + 14*d**4 - d**2*x - 22*d - 4*x wrt d.\nAnswer: -80*d**3*x + 168*d**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 40 and 46881931.\nAnswer: 46881971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*d*p**2*x - 13*d*x**3 + 3*p**2*x**2 + 119*x**3 wrt d?\nAnswer: 9*p**2*x - 13*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 50 = 4*m, 3*m - 3614*a = -3618*a - 100 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 72\/113, 116672 in increasing order.\nAnswer: -0.1, 72\/113, 116672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.16567 and -1?\nAnswer: 0.16567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -7390906.\nAnswer: -5\/3695453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -26*z + 3717. Let a = z - 333. Is -156 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, i: 2, f: 1}. What is prob of sequence pkp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2216 and 10526.\nAnswer: 42104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4 + 64785\/20 + 1. Suppose 11*c - c = m. 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: Suppose 0 = 4*g + p + 19, 0 = -2*g - 2*g + p - 13. Let l = g - -4. What is the units digit of -2 + (0 - l) + 2 + 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -1\/9  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 0 + 5)*(-2 + 3 - 3)*(-2*t + 1 - 1) + 3*t + 9*t + 19*t)*(-17 - 9 + 33) to f + k*t and give k.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - 0. Let m = 0 + q. Let i = -8.7 - -9.1. Which is the second smallest value?  (a) -2\/5  (b) i  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*a**2 - 50*a**2 + 14*a**2.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (51922\/(-39))\/((-4)\/78) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -82 (base 10) to base 5.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 4 - 0. Put 2, c, 5 in ascending order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.11 + 5.89. Let k = c - 6.22. Let q = k - -0.2200018. What is q rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*d**2 - 18*d**2 - 10*d**2 + 38*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/3)\/((-1)\/(-9)*-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01 * 194.3.\nAnswer: -1.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*n - 1021 = 1396, 5*n + 961 = 2*p. Calculate the highest common divisor of 345 and p.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -1\/1953476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3340136 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*l - 5*m, l + 4*m + 12 = -2*l. Suppose -2*u + 4 = -l. Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3153 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 33424423?\nAnswer: 33424417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(33)\/(sqrt(363) + sqrt(363)*2).\nAnswer: -2 + sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111320300 - -3?\nAnswer: 111320303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -215.8 and 5.\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2662) + (sqrt(110)*2)\/sqrt(5))\/(sqrt(128) - -1*(sqrt(128) + sqrt(128)*-2 - sqrt(128))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100001 + 1011000?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 177900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-8) - (-4686)\/1136. What is the nearest to 0 in -0.3, m, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 276 and 30.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -35*t - 348. Let i be f(-10). Solve -5*g + 22 = 3*b, 0 = g + i*b - 12 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(12\/(-33))*27\/((-4752)\/(-160))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(51)\/(sqrt(3) + -2*sqrt(3)) + -1 + -3 + ((sqrt(136) + (sqrt(136)*1 - sqrt(136)) - sqrt(136))*4)\/sqrt(8).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g**2. Suppose 0 = x + 5*u - 16 - 7, -2*u = 5*x - 23. Determine y(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9685254 and 782.\nAnswer: 164649318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 + 2*m + 2. Suppose -t + 2*t - 6 = 0. Let x(q) = 5 + t*q + 2*q + 4*q**2 - 3*q. What is 2*x(l) - 5*y(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -93 - -462\/5. Put 3, -5, -3, w in increasing order.\nAnswer: -5, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 2*k = 8. Let z be (9\/6)\/(3\/8). Let f(w) = w**2 - 6*w + 7. Let u be f(z). Is u less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 13*i + 84. Let v = 131 - 106. Does 34 divide x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -8*b**2 - 3*b - 3. Let n be ((-30)\/(-9))\/(-6*(-8)\/1656). Suppose -7*g - 16*g + n = 0. Let v(r) = 15*r**2 + 5*r + 5. Determine g*u(c) + 3*v(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7c9509 - 2?\nAnswer: -7c950b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181022*t - 179281*t - 125352 = 0 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 8*q - 8. Let z be j(6). Let s(n) = -3 - z - 2*n + 4*n. Let t be s(5). Solve 5*u - 8 = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 0 + (2*sqrt(1100) - sqrt(1100))*-2 + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100)*1 + 4))) + 5)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, t: 2}. Give prob of sequence tt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3*(1 + sqrt(1573)) + sqrt(1573)) + ((sqrt(13) + -1)*6 - sqrt(325)*2).\nAnswer: 12 + 260*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2628 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -189*g**5 + 1104*g**3 - 1102*g**3 + 18*g**5 + (-2*g**4 - 4*g**2 + 4*g**2)*(2*g - g - 2*g).\nAnswer: -169*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105961 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10415\/75 - 4\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 14*b**2 - 166*b + 124. Give s(14).\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -247 + 249. Let o be (-49 + 46)*l*(-10)\/6. Solve 4*y + 2 = s, -4*s + o = -3*y + s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/3, 0.172, 0.2, -1, -3\/7, -2010, -0.06?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0*(-3)\/(-12))\/(0 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1952*i**3 + 982*i**3 + 982*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 13333022020?\nAnswer: -13333022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.3854mg to grams.\nAnswer: 0.0203854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - o - 9, -6*s - 5*o - 23 = -3*s. What is the units digit of 13944\/(-8)*(-2 + (0 - s))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -757 in 1, -9\/31, 0.1, 1\/13?\nAnswer: -9\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21171655*t**2 - 13445535.\nAnswer: 42343310*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -r**6\/15 + 2*r**4\/3 + 14*r**2. Find the second derivative of m(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y - 2*m + 21 = 3*y, 5*y - 4*m + 37 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 2 + 3)*(6*b**2 - b**2 - b**2) in the form d*b + l*b**2 + r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/(-560)*(-172480)\/(-588)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29601 or -29394?\nAnswer: -29601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 168 = 6*l. Let z(x) = x**2 - 26*x + 110. Calculate the lowest common multiple of z(l) and 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2596 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/6 + (16\/12)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + 1 + (-7)\/(-14) + -3)*-18. Sort 2\/23, u, -2\/7, 4\/5, 4\/3 in ascending order.\nAnswer: u, -2\/7, 2\/23, 4\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 15, 3\/5, -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1644628*q**2 - 2933227.\nAnswer: 3289256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/5371 and 5\/6681.\nAnswer: 273921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3395 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xtt when three letters picked without replacement from ddddttddddxddddtdddd?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/4 and -22\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 11 = -3*x + 2*x, -4*x = 5*y. Let o be y + -2 - 0\/(-1). Is o greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of f**6\/120 + 3*f**5\/80 - 2*f**4\/3 + 5*f**3\/2 - 4*f**2 - 2*f - 13. Let m(t) = 0. Calculate t.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*g**3 - 8*g**3 + 20*g**3.\nAnswer: 53*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnnnnnnffnnnfffffff. What is prob of sequence nn?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11884 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 333483 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 353, 339, 319, 293?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12\/15 + -1)\/((-4)\/460). What is the highest common divisor of 253 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2639 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 + -161\/4. Let s = j + 13. Let t = -273\/1441 + 1\/131. What is the nearest to -2\/3 in t, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -100971 or -100964?\nAnswer: -100964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/126 and -38\/483?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4058300 - 12?\nAnswer: -4058312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64934 is divided by 16233.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.2 + -9. Let u = o + 1.36. Let p = u - -0.04. Put 2, 3, p in ascending order.\nAnswer: p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 97 - 57. What is the least common multiple of 80 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10112223 (base 4) to base 11\nAnswer: 12444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*s = 4590 - 4540 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 466.91 + -470. Let j = -3 - m. Let y = j + -4.79. What is y rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 314*o + 316*o - 6 = 0, 4*i - 9*o - 26 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 10. Let o be -37 + z + (-45)\/(-9). Let v = -30 - o. Solve 4*w + 3*j = 35, -j + v*j = 2*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*i - 51*i = -6. Find l such that 2*l**i + 52 - 15*l - l**2 + 2*l**2 - 40 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14.47 - 23.591. Round s to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47961053 != 47961072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5699 - -11492. Does 155 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 15 + 6 + 2 + 1 - 5 + (1 + 0 - 2)*(3 - 3 + 1))*(-h + h - h).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.508 + -83888.\nAnswer: -83886.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 105*t**4 - 635*t**3 + 30*t**2.\nAnswer: 5*t**2*(t - 6)*(21*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211912744 is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -67602 - -53?\nAnswer: -67527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -444948 divided by 111237?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 - 25 = 5*v - 4*b, 5*b - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 - -0.1. Let i = 0.034 - 22.034. Let q = i + 20. Is q greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i + 80 = 29*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6855515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.119 + -0.119. Which is the nearest to z?  (a) 0.11  (b) 3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 6*t - 5. Let l be v(7). Let q(o) = o**3 + 6*o**2 + 5*o. Suppose 0 = 4*f - 7*f - 15. Let b be q(f). Solve b - 8 = -l*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52015*l + 53045 + 289*l**3 - 133*l**3 - 1025*l**2 - 151*l**3 = 0.\nAnswer: -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnmnnkmokknnknnn. What is prob of picking 1 m and 1 o?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22.05 + 22. Let d = -0.04999928 - i. What is d rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - q + 5*q**2)*(-22*q**2 + 18*q**2 - 1 + 0) + (q**3 + q**3 - q**3)*(4*q + 0*q - q).\nAnswer: -17*q**4 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + 6 - -14) + -20 - (-6 - -2) - -24\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*j = -1. Let s(t) = t**3 + 8*t**2 + 5*t - 9. Let y be s(-7). Let p = 8\/51 + 3\/17. What is the closest to p in 0.2, y, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -33626, -67271, -100934, -134621, -168338?\n\"Answer: -r**3 - 3*r**2 - 33629*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 2745684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -6*a**2 + 3*a - 2. Determine z(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300*k + t - 6 = -303*k, -5*k = 2*t - 12. Let b = 2 + -1. Solve -f + 3 - b = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -48.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -501623331 divided by 6\nAnswer: -167207777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 2. Suppose 5*v = -q - 55. Let k be (-21)\/v - (-1)\/(-2). Solve 3*o - 4*p + 18 = 2*o, k = 3*o - p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -5 - (-27 - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.08461 and -333.5.\nAnswer: -333.58461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3449 + 3448.7. Suppose 2*t - 12 = -t. Sort m, 1, -1\/5, t.\nAnswer: m, -1\/5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -13*u**2 - 11*u + 20. Let x(d) = -7*d**2 - 6*d + 10. Let c(y) = -11*x(y) + 6*z(y). Let b be 1 - 0 - 1 - 0. What are the prime factors of c(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 + -17. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208818493 is divided by 2859?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**10*l**(-1\/47))\/(l*l*l**(-12)*l**16*l*l*l))**(1\/47) assuming l is positive.\nAnswer: l**(93\/2209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 - 35*r - 164. Let f be k(39). Let d(m) = -6*m**3 - 9*m**2. Let l(y) = 2*y**3 + 3*y**2. Determine f*l(c) - 3*d(c).\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -4*h + 30. Put 2, 1, h, -4 in ascending order.\nAnswer: -4, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 2*n**2 + 2*n + 4. Let r be f(0). Suppose r*q + 2 - 20 = 2*g, -3*g - 5*q = 27. What is the biggest value in g, 2\/9, -0.9, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*p**2 + 44*p**2 - 4*p**2.\nAnswer: 67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + 4*w + 31, 35*a - 14*a + 79 - 44 = 4*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (0 - -16 - (76 - 74)) + 34 + 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -2, 104, 25, -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of -65*z**4\/4 + 7*z**3\/6 + 2*z**2 + 45*z. Find the second derivative of m(j) wrt j.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3588.01 + -3611. Let y = 27 + p. Let j = 0.01 - y. Sort 1\/7, j, -1.\nAnswer: j, -1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4289123 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 5, 0.2, 2, 242 in increasing order.\nAnswer: -2\/3, 0.2, 2, 5, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -18. Let s = 1 - x. Suppose s - 79 = -4*n. Solve -q + n = -6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19117 by -19117.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/27*3 + 221. Let w = 3769 + h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -42, -43, -26, 15, 86, 193, 342?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -810*z + 783*z = -8694. What is the lowest common multiple of 460 and z?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -5, -869\/6, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -651477, -651660, -651843?\nAnswer: -652026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**4 - 24138*z + 11 + z**2 + 48271*z - 24128*z to the form g*z**4 + h*z**3 + f*z + k*z**2 + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28710446 a multiple of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(550) - sqrt(88)\/sqrt(64))\/((sqrt(11) + (sqrt(1100) - 2*sqrt(1100) - sqrt(1100) - sqrt(1100)))*-2).\nAnswer: -121*sqrt(2)\/232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -626 + 627. Sort 3, -31, 9, i, 2 in decreasing order.\nAnswer: 9, 3, 2, i, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32721\/582467 + -12\/87769. Calculate the common denominator of -73\/627 and t.\nAnswer: 45771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 7665 - 17785 = -5*t, 2*t - 10198 = 5*g. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101190888, -101190877, -101190860, -101190837, -101190808, -101190773, -101190732?\nAnswer: -101190685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 18*c**2. Let d(s) = -s**2 + s. Let o(l) = 15*d(l) + u(l). Suppose -58 = 5*m - 28. What is the units digit of o(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 4, 366, -4, 1 in increasing order.\nAnswer: -5, -4, 1, 2, 4, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -547*j + 1012*j - 570 = 522*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -3841, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1316 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290 is divided by 85?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -w**3 - 210*w**2 - 273*w**2 - 1542 + 214*w**2 wrt w?\nAnswer: -3*w**2 - 538*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 147*p**2 + 74*p**2 + 63*p**2 - 4*p)*(-p**2 - 2*p + 2*p).\nAnswer: 10*p**4 + 4*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -28067?\nAnswer: 28068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 648, 4, 2\/11, 56, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(33\/187 - 741\/(-1292)).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 62, 84, 120, 176, 258, 372?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20 and 36\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.8 - 9. Let q = -0.79964 + l. What is q rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 4. Let g be (1 - 0)*-2*z. Suppose -g*n - 16 = -2*a - 4*n, a - 5*n + 22 = 0. Solve -a*d = -3*l - 2*d + 10, 15 = 3*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -5*p**3 - 11*p**2 + 2*p - 10. Let b(v) = 14*v**3 + 32*v**2 - 5*v + 29. Let l(d) = -11*a(d) - 4*b(d). Calculate l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 - 50. Suppose -4*f + 7 - 3 = k. Which is the second smallest value?  (a) -10  (b) -0.5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 622433.\nAnswer: 7, 88919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26.9 - 127.3. Let j = w - -100.400001586. What is j rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*i - 2324 = 41*i. Suppose 4*n + 0*p = 4*p - 340, -4*n - i = -2*p. Let d = -70 - n. Calculate the greatest common factor of 121 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in -11, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - z = 231 - 21, 0 = -3*o - z + 126. Let g = o + -43. Let j(a) = -a**3 + a**2 - 1. What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49923263 a multiple of 1858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mummuumukuuuuu. What is prob of sequence kmmu?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2.1921 or -1792?\nAnswer: -2.1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p - 4*p + 0*p + (5 - 1 - 3)*(3*p - 3*p - 3*p) in the form v*p + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - ((-6 - -7) + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -8*g - 4*g**2 - 2\/3*g**3 + 3. Solve o(n) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 49, 54, 71, 106, 165, 254?\n\"Answer: n**3 - 2*n + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26421447874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*z - 117*z + 28 = 0. Let l(f) = 8*f + 59. Calculate l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 9, m: 1, f: 2, d: 4, e: 1}. What is prob of sequence ef?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -670, -1215, -1760, -2305, -2850, -3395?\nAnswer: -3940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -162. Suppose -89 = -10*g + z. Which is smaller: g or 25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -1425*k + 21. Let g(m) = m + 22. Calculate g(q) - w(q).\nAnswer: 1426*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 306*48\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 3*z = -19, -2*w - 105 = -z - 113 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*c - 136770 = 11*c - 136410 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13730 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t**2 + 4*t. Let m(y) be the third derivative of -y**5\/60 - y**4\/24 + y**3\/6 - 4*y**2 + 15*y. Calculate -j(h) - 2*m(h).\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4030121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 48402 = -4*x, 38*r - 48354 = 35*r + 4*x. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 8558, 8552, 8546, 8540?\n\"Answer: -6*g + 8564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1111, 2219, 3327, 4435, 5543, 6651?\n\"Answer: 1108*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -17*d**2 - 5548*d + 31868. Calculate o(-332).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -13. Which is greater: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggggggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24682, 24686, 24692, 24700?\nAnswer: 24710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 210944 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3\/(-9) - 37\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3616 and 4972.\nAnswer: 39776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(24\/64)\/(21\/28)*23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p - 28. Let y be i(17). Let v = 14 + y. Suppose 0 = 2*s - 3*s + v. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 55166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-62)\/((-12)\/(-45)*25\/30). Let m be 6\/21 + i\/21. Let x(r) = -r - 7. Determine x(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -o. Suppose 6*i - 11*i = -5*k + 170, 0 = 2*k + 3*i - 73. Solve -4*v - 15 + k = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1463, -30, -8 in increasing order.\nAnswer: -30, -8, 1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 2 + (-2 - -1). Let j = -0.4 + 0.2. Let m = 0.1 + j. Do m and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**4 - 15*t**3 - 50*t**2 + 120*t.\nAnswer: 5*t*(t - 4)*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6 - 26\/4)*24\/(-1). Suppose -18*b = -x*b - 10542. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/297 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 12:59 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2489 divide 10763848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tlrfforrflrlloroooff. Give prob of sequence tffl.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (12824\/6)\/(-20 + (-13504)\/(-672)).\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6784 and 8?\nAnswer: 6784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -3*m - 4*v - 11, v + 19 = -4*m. Suppose 17 = -3*c + 4*j, -2*j - j = -3*c - 15. Does 18 divide (3\/m)\/(c\/255)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 18*d. Let s be -4 - -2*(-19)\/(-2). Let o = 18 - s. What is the tens digit of j(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 4287*c + 1365*c + 1460*c + 40 + 1469*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 3*w**2 + 4*w + 3. Let r be t(4). Find the third derivative of 2*u**4 - 26*u**5 + 33*u**6 - r*u**2 + 25*u**5 - 2*u**4 wrt u.\nAnswer: 3960*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/8 and -193\/271348050.\nAnswer: 1085392200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -19*u**2 + 115*u - 16. Let d(t) = 18*t**2 - t - 1. Calculate -d(s) - y(s).\nAnswer: s**2 - 114*s + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8643, -8601, -8425, -8049, -7407, -6433, -5061?\n\"Answer: 11*z**3 + z**2 - 38*z - 8617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 252745 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93789, -187578, -281367, -375156, -468945?\nAnswer: -562734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -417 + 421. Suppose 26*w**3 - 11*w**3 - 10*w**3 - 3*w**5 - 3*w**3 + 5*w**5 - j*w**4 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10736 and 8272.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -51. Let x(b) = 4*b. What is the remainder when s is divided by x(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 9:47 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 137 = 6*f - 2*f, 2*f + 3*a = -65. Let v = 2345 + -2361. Let q = v - f. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 280061150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 r when three letters picked without replacement from jjjrxjjjnnjrnnrjjjjj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -3*k**2 + 6*k - 14. Let a be v(-7). Let j = 28139.1 - 28139. What is the closest to a in -1\/6, 2\/13, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -1244, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(105))\/sqrt(3) - (sqrt(140) + sqrt(35))*-5)\/(sqrt(448)*-1*3 + -2*sqrt(448)*-2 + sqrt(448)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*n - 25*n = 14*n + 158976. Does 69 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(832)*1 + 4)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -75298401.08 to the nearest 100000.\nAnswer: -75300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - 2) + (0 - 10). Let d(p) be the second derivative of -p**4\/12 - 5*p**3\/3 - 5*p**2 - 3*p. What is the remainder when 20 is divided by d(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 31122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)\/((sqrt(36)*1)\/sqrt(12))*-3)**2 - (-6*(sqrt(102)\/(sqrt(30)\/sqrt(5)) + sqrt(136)\/sqrt(200)))**2.\nAnswer: -18207\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -370 - 5996 = -3790*y + 1924 + 6870 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 1, 19, 0.3, -1 in descending order.\nAnswer: 19, 1, 0.3, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 321 (base 13) to base 14\nAnswer: 2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 + h**2 - 3*h**2)*(74*h + 589 - 589) + h**2 - h**2 + 2*h**3.\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + j = -1 + 3, -y = -4*j - 9. What are the prime factors of (1 - y - 9)\/((-1)\/19)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8087?\nAnswer: 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d + 97. Suppose -12*j - 225 = -609. Let p be v(j). Calculate the highest common factor of 17 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/42 - (-8)\/14. Let k(j) be the third derivative of b*j**3 + 0*j**4 - 7*j**2 + 1\/120*j**6 - 1\/420*j**7 + 0 + 0*j - 1\/120*j**5. Factor k(m).\nAnswer: -m**2*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 55*s + 34. What is o(3)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/10*(-7)\/((-252)\/90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 115 - 808\/7. Which is the nearest to 2\/7?  (a) s  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, o: 4, w: 7}. What is prob of picking 2 q, 1 o, and 1 w?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -174522 at least -174522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2075010 equal to 2075009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, t: 2, c: 1, b: 1, u: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 145 - 1?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*f**3*n**2 - 58*f**3 + f**2*n**2 - 3*f**2*n - 9*f*n + 94740*n**2 + 3*n + 20 wrt n.\nAnswer: -8*f**3 + 2*f**2 + 189480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003119 to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 p when four letters picked without replacement from mmmlmmpmlpll?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i - 6. Let p(c) = -1. Let y = -390 - -508. Suppose -17*r = y - 33. What is r*m(q) + 30*p(q)?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -72420 or -75072?\nAnswer: -72420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.29831 kilograms?\nAnswer: 298310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -39*z**2 - 134*z - 22. Let f(g) = -16*g**2 - 54*g - 9. Let m(p) = -12*f(p) + 5*w(p). Let x(r) = 16*r**2 + 110*r + 11. Give -22*m(d) - 4*x(d).\nAnswer: 2*d**2 + 44*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3048 is divided by 305?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 - -49. Suppose 5 - j = 4*t. Put 5, -3, t in decreasing order.\nAnswer: 5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by -177.\nAnswer: 13\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -144.3 - -148.3. Put -0.8, 6, 2\/5, h in decreasing order.\nAnswer: 6, h, 2\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -414053*d**2 + 31*d + 1492 wrt d.\nAnswer: -828106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 4:29 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22 - -5 - -25) + (-8 - (-1 - -2)) - 40.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*y**2 + 7*y**2 - 5*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2365 - -3552.\nAnswer: 5917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 4*x**2 + x + 1. Let w be c(4). Suppose -80 = -3*o - 2*o. Suppose 2*z - 6*z + o = 0. Solve g - w = -z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-5)*3\/(18\/60). Let i be (c\/8)\/(5\/20). Let v(g) = -9*g - 31. Let d be v(-4). Solve -b + 5*p = -6*b - 10, -2*b - i*p = d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.948 and 11475.\nAnswer: -68253.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1306\/7 - -186. Let s = -9942 + 9938. Sort -5, m, s in decreasing order.\nAnswer: m, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a**3\/17 + 617180*a**2\/17 - 50442726*a\/17 + 33354180\/17 = 0. What is a?\nAnswer: -102945, 2\/3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from {r: 4, d: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 49*h**2 - 53*h + 193. Give s(50).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-four fifths of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6050 - -43350. Let o = 78400 - q. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 + 2*w**4 - 5 + 15*w**4 - 5*w**4 - 35*w**4 + (0 - w + 0)*(-w**3 + 0*w**3 + 2*w**3) + 3*w**2 - 4*w**4 - 3*w**2.\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1157 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: Suppose 0 = 4*u - 5*q - 16, u - 9 = 2*u + 2*q. Let i be (-6)\/((-4)\/(-54)*u). Let x = i - 12. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 9 = 119. Suppose -9*o + 7*o = -k. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1223708.86 to the nearest 10000.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 120560 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8181.05 - 8181. Sort 5, 1, -4, d in decreasing order.\nAnswer: 5, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 1. Suppose -2 + 12 = -2*z, 47 = i - z. Let u be ((-7)\/i)\/((-2)\/(-9)). What is the third smallest value in 4, u, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 5*v - 16. Let x(u) = u - 3. Let k = 18 + -14. Suppose k*o = -0*o - 44. What is o*x(g) + 2*l(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -84 - -160. Let c(q) = q. Let v be c(1). Let r be (1*-1)\/(v\/(-19)). Calculate the highest common divisor of h and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a. Let m(y) = 6778*y - 227. Determine m(l(i)).\nAnswer: -27112*i - 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2d6 (base 16) in base 11?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*k + 3*p = -34*k + 12, 5*k + 2*p = 8. Solve k = 4*m - 99 + 91 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 5*c**2 + 6*c - 4. Let o be i(4). Suppose o*s - 94 = 2*s. Suppose -g + 4*p + s = 0, -4*p = -2*g + 39 + 59. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 156, 155, 154?\n\"Answer: -g + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 0.5, -3, 4, 337 in decreasing order.\nAnswer: 337, 4, 0.5, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 9*t - 12. Give n(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z**2 - 73*z - 21. Let m be i(19). Calculate the highest common divisor of 1296 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -369*c - 355*c - 354*c + 1073*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 13230\/(-27468) - 2\/(-4)\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 767 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**2 - 9*k - 1. Let v be q(-2). Which is smaller: 11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -4*a - 8, a + 11 = 6*a - 2*w. Let i(g) = 4*g**2 - 1. Let m be i(-1). Put m, a, -12, -4 in descending order.\nAnswer: a, m, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -7*a + 120. Let p = -18 + a. Suppose -3*x = 5*o - 895, 4*x + p*o - 1200 = o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.034 or 0.02?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6 - (7 + -250))*2\/(-6). Let i = n + 102. Suppose 4*u - i = 1. Solve 0 = -3*k - 3*r - 9, 5*r = -k + u*k + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/12*(-28)\/(-14))\/((-544)\/3456*3).\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11333153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 4 = -2*g, -5*y - 2*g + 1762 = 0. Let l = 397 - y. Calculate the highest common factor of l and 1440.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 705620.\nAnswer: 2, 5, 35281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7\/14)\/((-1)\/(-4)). Let i(u) be the first derivative of 1\/3*u**3 + 0*u**j - u + 1. Differentiate i(v) with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-2 + -11 + (6 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53168380, 53168384, 53168388, 53168392, 53168396?\nAnswer: 53168400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 2016.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0 + 4 - 3 - 7 + (-6 + 2 + 2)*(3 + 1 - 3))*(-r - 1 + 1 + (2 - 1 - 2)*(-r - 3*r + 6*r)) + 291 - 2*r + 290 - 589.\nAnswer: 19*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 14*s**3\/3 + 17*s - 11. What is the derivative of r(n) wrt n?\nAnswer: 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f - 3*f + 2*f - 1 + 14*f**2 as c + w*f + b*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -5*t + 7*t + t - 4*t. Let b(c) = -2*c**2 + 18. Give b(l(f)).\nAnswer: -2*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 232*g**2 - 15*g - 54. Is o(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 4:15 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.09814 + -4.09814. What is the nearest to 0.2 in 2\/175, -6, h, 5?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -4*z**3 - 2*z**2 + 4. Let t(o) = -o**3 + o**2 + o. Let d(n) = i(n) - 3*t(n). Let q be d(-4). Put -3, 1, q in decreasing order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 545 divided by -4?\nAnswer: -545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 116 = 38. Let l = g - -32. Calculate the greatest common factor of l and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -267, -528, -789?\n\"Answer: -261*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 0 = 4*w. Suppose 0 = -2*r + w + 2. Suppose -3*y + 28 + 3 = r*v, 5*y + v - 46 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*g. Suppose -3*q + 15 = g, -q - 132 = -3*v - 4*q. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Simplify 3 + (-1*sqrt(85)\/sqrt(5))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 170 + -102. Let h = s + 69. Suppose 0 = a - 4*a + 5*i + h, 2*a - 92 = 4*i. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 261*c + 275*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -cc (base 13) in base 4?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2889, -11551, -25987, -46197, -72181?\nAnswer: -103939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - p**2 - 13*p. Let v be w(-3). What is t in 0 + 1\/7*t**4 - 1\/7*t - 1\/7*t**2 + 1\/7*t**v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 6:17 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -108 + 112. Suppose r*d + 10 = 4*k - 38, d - 72 = -5*k. What is the lowest common multiple of (84\/(-49))\/(3\/(42\/(-4))) and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 175, 172, 157, 124, 67, -20?\n\"Answer: -p**3 + 4*p + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 29\/(-9) + (-4)\/(-18). Is -2 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.97 - -0.03. Let b = -29607.52 - -29607.5. Sort -10, -3\/5, b, r in descending order.\nAnswer: r, b, -3\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 17 = -17. Calculate the smallest common multiple of 6 and -1*(-1 + j)\/(22\/77).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -703866 divided by 234622?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s + 6. Let o = 102 - 100. Let f = 86 - 9. Calculate the remainder when f is divided by u(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8151 - 8150.979. Let j(u) = -u**2 - 6*u + 4. Let l be j(-6). Which is the nearest to -1\/4?  (a) -2\/13  (b) l  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/1653 and 17\/3.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 5*g + 940, 0 = -5*m - g + 1351 + 3301. List the prime factors of m.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.5 + -8. Let v = x - -0.5. Let s = -1.265 + 1.365. What is the biggest value in v, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28943.85203 - -28944. Let z = u + -0.145. Round z to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 466 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -n**4\/12 - 5*n**3\/6 - 5*n**2\/2 - 11*n. Determine z(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011409369 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 560 - 460. What is the remainder when b is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 + -38. Let r(n) = 2*n**2 + 7*n + 13. Let q(o) = o**2 + 5*o + 9. Give a*q(z) - 5*r(z).\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 202, 228, 272, 334, 414, 512, 628?\n\"Answer: 9*d**2 - d + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.12, -1\/4, -4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2\/21  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33224033 is divided by 6644802.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 238.21 and 132897.\nAnswer: 133135.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 803 - -314. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**2 - 10*p - 17. Let a(g) = 3*g**2 - 11*g - 18. Let b(i) = 3*a(i) - 4*c(i). Calculate b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/14*756\/72*(-1102)\/57?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**2 - 5*u + 12. Suppose -4*s + 4 = -3*j + 2*j, 4*j = 3*s - 16. Let l be z(j). Solve 8 = 2*o - n, -3*o - 2*o - 5*n + 5 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5796, -6602, -7408?\n\"Answer: -806*d - 4990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 4:48 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x + 3*x - 3*x + 2*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.6, 1256, -813?\nAnswer: 1256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 205367423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178737, 178729, 178709, 178671, 178609, 178517, 178389, 178219?\nAnswer: 178001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 189851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jp when two letters picked without replacement from rrjjrpryy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 6 + -4 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2420 + 234?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -3, -1, 3, -2683, 4, 0 in descending order.\nAnswer: 38, 4, 3, 0, -1, -3, -2683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 - 9*j + 1. Let y be d(5). Let b(t) be the first derivative of t**4\/4 - 2*t**3 - t**2\/2 + 6*t - 1. Give b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/44 and 25\/3872.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 1116 = 1188. Is z a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 214825872*r**4 - 25016332*r**2.\nAnswer: 5155820928*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 6:49 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(252) + (1 + sqrt(252) + sqrt(252) - sqrt(252)))*3*5 + -1*-2*(1 + sqrt(252) - sqrt(252)))**2.\nAnswer: 6120*sqrt(7) + 227089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*t + 7 = 0, n - 5*n + 4 = 2*t. Let f(v) = v**2 + 10*v + 27. Calculate the smallest common multiple of ((-10)\/6)\/(n\/12) and f(-9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27 and 144059310.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 38747961, 38747967, 38747973?\n\"Answer: 6*d + 38747955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - 0.46763?\nAnswer: -12.46763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 762478?\nAnswer: 6862302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 2 q, and 1 s when four letters picked without replacement from qsjsqsqqq.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 58 + -34. Is t at least as big as 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 37*v - 44. Let r(t) = 147*t - 176. Let a(n) = 9*m(n) - 2*r(n). Differentiate a(j) wrt j.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by -3026\nAnswer: -6\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmh when three letters picked without replacement from {d: 1, m: 3, h: 11}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13 and -4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(70) - 5*(sqrt(70)*1 - sqrt(70))) + sqrt(70))\/sqrt(10) - ((5*sqrt(252)*-1)**2 - (sqrt(252) + -1 + -1)).\nAnswer: -6302 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57855 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 2*a, 3*n + 5*a + 0 + 9 = 0. Factor -7*w**2 - 2 + w**n - 4*w**2 + 4*w**2 - 2*w**3 - 6*w.\nAnswer: -2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -53 - -13. Let n = -23 - a. What is the remainder when n is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of 0 + 1\/20*f**4 + 2\/5*f**3 - 8*f + 6\/5*f**2. Find s, given that o(s) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 180*q - 156*q. Which is smaller: q or 2\/7197?\nAnswer: 2\/7197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1768 divided by 8?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-3 + sqrt(5))*-3 - sqrt(5))**2 + 3)*-6.\nAnswer: -1296*sqrt(5) + 2952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 69c00?\nAnswer: 69bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -2*j**7\/105 + j**6\/10 - j**5\/5 + j**4\/6 - 4*j**2. Let x(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 3*t + 4. Let r be h(4). Which is bigger: r or -1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 926336.\nAnswer: 2, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41 - -52. What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-8)\/h**(-29\/5) assuming h is positive.\nAnswer: h**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 2346, 3, 0 in descending order.\nAnswer: 2346, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of -d**5\/60 + 18*d**2. Let f(i) = 18*i**2. What is f(c(s))?\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 405*b = 1624 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2446858 = -5*n - 3*p, 2*p + 99823 = 2*n - 878917. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 3*r = 68513, h + 17128 = 2*h - r. Suppose h = 14*m - 13*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 8 = -5*b - t, 0 = -2*t + 10. Calculate the common denominator of 91\/2 and ((-178)\/9)\/(((-32)\/6)\/b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 7*k - 11. Let s(v) = 15*v - 23. Let y(b) = 13*o(b) - 6*s(b). Let x(a) = a - 7. Let m be x(9). Suppose m*t = 3*t + 2, 0 = -3*w + 2*t + 19. Give y(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4745048897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 4:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -3133, -3, -2, -54, 5 in decreasing order.\nAnswer: 5, 2, -1, -2, -3, -54, -3133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33.166 + 33.016. What is the nearest to 35 in -0.5, n, -2, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of 0 + 5\/12*n**4 - 1\/6*n**3 + 7*n + 0*n**2. Find the second derivative of j(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 10:47 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/(sqrt(3) - sqrt(30)\/sqrt(1440)) - sqrt(18)\/(sqrt(144) - (sqrt(144) - sqrt(144)*2 - sqrt(144)) - sqrt(144) - sqrt(144)))**2.\nAnswer: 1369\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d - 0*d + 3*y - 9, d + 4*y - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21 and (-24)\/36 - 38\/(-3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k. Let c(r) be the second derivative of 6*r + 2\/3*r**3 + 0 + 0*r**2. Give t(c(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8064 - 11638 - 2461 + 9148)*(-3*o + 2*o + 3*o).\nAnswer: -26030*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.2, -1, -1.9675?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*d + 62 = 60*d + 74 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - l - 1. Let r(f) = -4*f**2 + 6*f + 7. Determine -5*h(i) - r(i).\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 114660 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + -13 + 15 + (-3 - -5 - 12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -4*j**2 + 10*j + 5\/6*j**3 + 1\/12*j**4 + 0. Give q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 20  (b) 0  (c) 0.3  (d) 19\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2153 - 4302 + 1748 - 3552 - 2*l + 1581.\nAnswer: -2*l - 6678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7*11\/(-77))\/(2\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7*m**2 - 3*m + 1. Let f = 18 - 12. Let k(r) = -2 - 43*r**2 + 6*r + 56*r**2 + 0*r. Let a(t) = f*k(t) + 11*q(t). Calculate a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*d - 39*d = -944. Suppose -7*l + 344 = -d. What is the second derivative of x**3 - 31*x - 34 + l - 32 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -4, 2*i + 4*d = 2891 + 27487. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, c: 9}. Give prob of sequence cccb.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 93 + -29. Let g = w - -54. Let f = -2011\/17 + g. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-21) + 1\/(-6)*-2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14069.99 + -0.2?\nAnswer: -14070.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11 - -8)*4\/6. Does 8 divide (h - -3)*5*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 + 7*f + 6. Let l be n(-6). Let s(o) be the first derivative of -1\/2*o**4 + 3 - 2\/15*o**5 - 2\/3*o**3 - 1\/3*o**2 + l*o. Factor s(x).\nAnswer: -2*x*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/9)\/(102\/1377)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47\/2 + 2435\/104. Find the common denominator of s and -97\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 11, 0.014, -0.3?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 1. Let t be (-28)\/(-2)*8\/(-16). What are the prime factors of k\/(1\/(-1 + t))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 6 - 3)*(2*q + 0*q - q) - q + 2*q + q + 2 - 2*q + 0 + 4*q to i + y*q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*l. Suppose i + 2*i - 42 = l. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 168926925 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1255.9 + 1315. Let k = 4.7 - o. Let m = k + 54. Which is the second smallest value?  (a) -2\/11  (b) 14  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13540 and -1321.\nAnswer: 17886340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -245107, -489713, -734319, -978925, -1223531?\n\"Answer: -244606*l - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 191844610 to the nearest integer?\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*v**2 + 0 + 15*v**2 - 4 + 3 in the form u + s*v**2 + w*v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/6*((-170)\/6 - -1). What is the smallest value in -2\/3, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -3 - 3) + -3 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 104067.0811 rounded to the nearest ten?\nAnswer: 104070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g - 7 + 4*g - 2*g. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/2  (b) -3  (c) -0.8  (d) -0.4  (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4921 greater than 4921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1032, -5, -1.\nAnswer: -1032, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34343916.\nAnswer: 2, 3, 643, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 + 61 + 20)*(-p - 4*p - p).\nAnswer: -288*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2. Suppose 4*c - 3 - 5 = 0. Let r(d) = 0*d**2 - d**2 + 6*d**c + 3*d**2. Determine l(r(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15538247 by 269.\nAnswer: -57763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1137 - -1144. Solve -q*r - 5 + 5 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -905 and -0.5.\nAnswer: -905.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21543135 + 1?\nAnswer: -21543134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.158565 to three dps.\nAnswer: 0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1614231045 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/16)\/(425\/(-2125))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1200 = 30*t - 26*t. Let v = t + -301. Put 24, v, -3 in decreasing order.\nAnswer: 24, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 468 = -3*c + 455, -3*a + 10 = -2*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 0*c + 4*i - 383996, -2*i - 384002 = -c. What is c rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b - 12. Let q be k(-9). Suppose -3*r - q = -2*w - 0*r, w - 2*r - 4 = 0. Solve 5*p = -5*u - 15, u - p + 5*p + 9 = w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22176\/6048*(-18)\/242?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67683402971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -965990 divided by -33310.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s - 2*s + 3*s + (4 - 2 - 4)*(2*s - 5*s + 5*s))*(-5*s + 3*s - s)*(3 - 3 + 2*s).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = m - 10. Suppose 97 = m*d + 3*a, 4*d = 6*d - a - 101. Suppose 2*l = -y - y + d, -5*y = -10. Solve -2*h - 3*u = -0*h + l, -5*h - 10 = -2*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/18 + (2 - (-784)\/(-720)). Let a = -28.5 + 28.6. What is the second biggest value in 1, d, -1\/7, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-2)*134\/67.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (52\/(-65))\/(-2*(-4)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3)*o*o**(3\/5))\/(o**(1\/2)*o*o**(2\/5)\/o)*(o**(2\/11)*o**(5\/4)\/o)**(-6) assuming o is positive.\nAnswer: o**(-269\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a + 18201977 + 4021606 = 0. Let c = -1340055 + a. Let p = -2089342 - c. What is p rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1262333 (base 8) in base 9?\nAnswer: 587816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -14*b**2 + 749*b - 417. Determine g(52).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 + -10. What is the highest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5*k + 17 = 0, -y + 7 = -0*y - 3*k. Let j be 34\/y + 1\/4. Put -3, j, 4 in ascending order.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x + x**2 - 3 - 4*x + 4. Let y(b) = -6*b**2 - 3*b + 3. Let l(c) = -3*n(c) + y(c). Let g(d) = -d**2. Determine g(l(j)).\nAnswer: -81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -2789\nAnswer: -4\/2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 - 18. Suppose 11*g**3 - s*g**2 - 6*g**3 + 3*g**4 - 4*g**5 + 0*g - g = 0. What is g?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + c - 2378 + 12120, 0 = 5*b - 4*c - 16225. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 7*c + 9. Let x(y) = y**2 + 37*y + 30. Let a be x(-36). Determine m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 123811964\/11 + -11263108. Let x = -6155 + -1325. Let k = x - b. Find the common denominator of 5\/7 and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2833 + -45.2833. Which is greater: q or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192 + 1992 = -225*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q\/q**(-1)))*q)**39*((q**(2\/17)*q)\/q)\/(q*(q*q*q*q**(5\/6))\/q) assuming q is positive.\nAnswer: q**(11555\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000025813 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*l - 16*l - 88*l)*(6 - 7 + 4)*(-4 + 4 + l).\nAnswer: -228*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -93, -313, -529, -741, -949, -1153?\n\"Answer: 2*m**2 - 226*m + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -8*m**3 - 15*m**2 - 40*m + 16. What are the prime factors of c(-14)?\nAnswer: 2, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than or equal to -312\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 133166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-58)\/116)\/(1 + 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4 + 15*g**3 - 9*g**2 - 67*g - 42.\nAnswer: -(g - 14)*(g - 3)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 3*a + 24. Is 6 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -10*i + 4*i. What is the second biggest value in i, -0.3, -33\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j\/(j\/(j\/j**(8\/5)))*j**(-3\/8)*j)\/(j\/(j\/(j*(j\/j**(2\/11))\/j*j)*j)*j*((j*j\/j**17)\/j)\/j) assuming j is positive.\nAnswer: j**(7571\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1947 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 15.01 times -5811\nAnswer: -87223.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*c**4 + 3*c**4 - c**4 - 3*c + 2*c**4 + 3*c + (1 + 0 + 0)*(5 + c**4 - 5) as y*c**3 + q*c**4 + b*c + k + d*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 3*x - 65, -3*x + 2*x = 1. Let r = 35 - k. Find the second derivative of 7*g + 12*g + 0*g + 15*g**4 + 2*g**r wrt g.\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**3 + 14*j**2 + 5*j - 6. Let t(w) = -11*w**3 - 79*w**2 - 33*w + 34. What is 34*p(n) + 6*t(n)?\nAnswer: 2*n**3 + 2*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2*v**2 + 0)*(76*v + 375 - 80*v + 28*v**2 + 39*v**2 - 73*v**2) in the form h*v**4 + t*v + c*v**3 + w + m*v**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 12*j + 34 + 15 + 5. Let k(o) = o - 1. Calculate the smallest common multiple of k(5) and u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + (5 - -5) - (6 + -1)) + 1 + 60.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3516*j - 4*j**2 - j**3 - 3517*j + 6*j**3)*(-j + 4*j - j) to the form n + m*j**3 + k*j + f*j**4 + x*j**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.8 + -7.2. What is the nearest to 7 in 0.4, 2\/9, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + -1 - 10\/(-1). Let n(x) = x**3 - 8*x**2 + x - 6. Let o be n(u). Factor -1\/5*p + 0 - 1\/5*p**o.\nAnswer: -p*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9 - (1\/(-5))\/(1\/(-10)). Suppose -v*p - 5*p + 72 = 0. What is the remainder when 11 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102\/11737 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.93 and -2?\nAnswer: -11.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 2*u**2 + 4*u + 1. Let i(z) = 2*z**3 + 12*z**2 + 333*z - 2284. Let s(a) = i(a) + 6*x(a). What is the derivative of s(n) wrt n?\nAnswer: -12*n**2 + 357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 1086 - 737. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660831.8t in milligrams?\nAnswer: 660831800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -3238365, 2, -3, -4 in descending order.\nAnswer: 5, 3, 2, -3, -4, -3238365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - (-3)\/((-27)\/(-24)). Sort 1, p, -0.2 in descending order.\nAnswer: 1, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 + 2*x**2 - x**2 - 2*x**2 + x**2 + 2*x**2 + (3 - 2 - 3)*(-4*x - x**2 + 4*x))*(-3 + 3 + 2*x)*(3 - 1 - 3) + 7*x**3 - 36*x**3 + 20*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6487, -12762, -19037, -25312, -31587, -37862?\n\"Answer: -6275*y - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-11)\/(-55))\/((-1)\/(-30)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 q when three letters picked without replacement from qaxqxqxqqx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15008574 is divided by 475.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10373545 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -c - 1051, -4*c + 35 - 15 = 0. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 29.709m?\nAnswer: 29709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f + 14. What is n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11.938*-2.\nAnswer: -23.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3228 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 10*p - 15*p + 4735800. Round p to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/9*u**2 + 460\/9 - 22\/3*u = 0. Calculate u.\nAnswer: 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -290 + 289.9. Which is the closest to 2?  (a) x  (b) 0.5  (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 2*r + 5*o, 3*r + 4*o = 5*r - 26 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 7 = 1. Let j(k) = 3*k**2 - 4*k**3 + 3 - 5*k**3 + z*k + 10*k**3. Let b = 4 + -6. Give j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 - 40.6. Which is the closest to -0.02?  (a) s  (b) 1\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4457 - 1629*x - 1139*x - 935*x with respect to x.\nAnswer: -3703","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwnwwnwwww. What is prob of sequence nwn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*q**3 + 63645432*q**2 + 55724454 wrt q?\nAnswer: 12*q**2 + 127290864*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -32, 8 in descending order.\nAnswer: 8, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -7. Let x be 1*g*(6 - 5). Find the third derivative of -c**3 + c**3 + 3*c**2 + x*c**3 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.2205 - 11.7795. Let w be 1 + -4 + 32\/10. Which is the nearest to h?  (a) 1\/3  (b) 3\/8  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 7*d**2 + 2*d - 9. Let o(l) = l**2. Calculate m(n) - 4*o(n).\nAnswer: 3*n**2 + 2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 58066 plus 3?\nAnswer: 58069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0. Solve x = -2*q + 7*q - 5*v, -5*q + 18 = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -716*s**2 + 0 + 371*s**2 + 0 + 358*s**2. Let m(a) = 17*a. What is q(m(h))?\nAnswer: 3757*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 0*f - 399 = 0. List the prime factors of f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1269795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 8:34 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 350387923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4, 2, 3\/5, -5, 8.\nAnswer: -5, -4, -0.4, 3\/5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.2641994 millennia?\nAnswer: 26.41994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3205832 by 8.\nAnswer: -400729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (14\/14)\/(3\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 8 = -4*w, 3*m - w + 13 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*a - a - a)*(a - 3*a - 3*a) + 17*a - 17*a + 34*a**2)*(0*a**2 - 2*a**2 + 4*a**2).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 10:40 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 137540 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 411328\nAnswer: -1233984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5788?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -14*t**5 + 435*t**4\/4 + 125*t**3 + 35*t**2 - 505. Find a, given that d(a) = 0.\nAnswer: -1\/2, -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 9:34 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -42. Let i(w) = 0 + w + 3*w**f - 6 - 2 - 11*w**2. Let l(n) = 7*n**2 - n + 7. What is -5*i(c) - 6*l(c)?\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 16\/(3 + 1). Suppose h*y = 5*y. Suppose 70 = 5*b - y*b. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 980587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -25254 divided by 16992\nAnswer: -1403\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22336\/7 - 44651\/14. Which is the closest to 0.2?  (a) -1.5  (b) 2  (c) y  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140985059 divided by 2?\nAnswer: -140985059\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49802 is divided by 96?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 2*h + 3*h)*(-3*h + 0*h + h) - 33*h + 33*h + 45*h**2 - 2*h**2 + 0*h**2 + h**2 - h**2 - 3*h**2 + 6*h**2 + (3*h + 0*h - h)*(2*h + 2*h - h).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a century in months?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oaaxxxaxroygxyxyryyy. What is prob of picking 1 o and 1 y?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9\/6)\/(5\/(-10)). Let p(d) = -d - 4. Let y be p(w). Let x = -30 + 29. Is y greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*b + 1, -2*b - 2*b = -5*n - 8. Let o(j) = 2*j + 7. Let s be o(n). Let r(a) = 7 - 12 + 1 + 3 - a. Give r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18393 greater than -18393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 0*v**4 - 9\/2*v**6 + 0*v**2 + 0*v + 26\/3*v**3 + 0*v**5 - 17. Find the third derivative of z(y) wrt y.\nAnswer: -1620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.24 - -0.44. What is the closest to -1\/3 in q, 5, -5\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85 - 641*z + z**3 - 85 + 0*z**3.\nAnswer: z**3 - 641*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7\/4  (b) -5  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1221870 by 78.\nAnswer: -15665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d**3 - d**2 - 5*d + 3. Let i(m) = -5*m - 3 + 5 + m + 3*m**3. Let j be -4 + (-38)\/(-8) - 30\/8. Calculate j*i(g) + 2*u(g).\nAnswer: -g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 1:38 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21357 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9215348 divided by 6476?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8dbbd - -10?\nAnswer: 8dbcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.41304 and 27.7?\nAnswer: -11.441208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 3:03 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/3*804\/9. Let d = a + 5590\/99. Let r = -250\/33 + d. Find the common denominator of r and -58\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + 14\/(-672)*-18. Let n = 3 - 3.1. Which is the second smallest value?  (a) -5\/6  (b) z  (c) -0.4  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-2)*-13*(-12)\/156\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17225 is divided by 155?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -34869*x - 62. Calculate the remainder when q(-1) is divided by 283.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 2. Let z(w) = 2*w + 10. Let f be z(-7). Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44802 - -43632. Sort x, -4, 4 in ascending order.\nAnswer: x, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(0 - (3 - 0)). Solve 3*n - 3 = -q + 6*q, u = 3*n + 2*q - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(209) + (sqrt(209) - (3*sqrt(209) - sqrt(209) - sqrt(209)) - sqrt(209))))\/(sqrt(539) + 3*sqrt(539)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19751 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7783 is divided by 3890.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -14448018965 and -0.05.\nAnswer: -14448018965.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -39\/333001 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2707 + 2706.9999997594. Round l to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -220311 divided by 4?\nAnswer: -220311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -6*f + 13. Let w be x(4). Let s(b) be the second derivative of -b**4\/12 - 2*b**3 - 9*b**2\/2 + 3147*b. Give s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 237175, -15 in descending order.\nAnswer: 237175, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 1589414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -138 + 140. Find the third derivative of -40*f**5 - 28*f**r + 38*f**6 + 74*f**5 - 34*f**5 wrt f.\nAnswer: 4560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + -19 + 21 + (-2 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + l + 1 + 2*l + 3*l - 6*l + l + 0*l + l + (-2 + 1 - 1)*(-l - 3 + 3) - 18 + 23 + 16*l - 5*l)*(-10*l - 15*l + 31*l).\nAnswer: 90*l**2 + 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*(sqrt(275) + -1)*-1 + 0 - -6*-4*sqrt(110)\/(-1*sqrt(490)))**2.\nAnswer: -486960\/49 + 1880*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n**3\/5 - 396*n**2\/5 - 808*n\/5 = 0 for n.\nAnswer: -2, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/9 + 15286156*g + 262874885913378.\nAnswer: 2*(g + 34393851)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5370.4 rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/198)\/((-57)\/209)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.02401 - 4\nAnswer: -3.97599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*v**5 + 1592*v**4 - 2*v**2 + 62*v + 11 wrt v.\nAnswer: 960*v**2 + 38208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 17844.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p**3 - 188*p**2 + 112*p - 67. Let o be g(37). What is the fourth biggest value in o, 0.1, 1\/5, -3, 2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.92 or 2\/9?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 131 in ascending order.\nAnswer: 4, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 11:31 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5807 = 3725*h + 9834*h - 21680 - 11245 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 333 and 50949.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/3, -15, 6, -2.378, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 10*l**2 + 5*l + 8. Let y be b(-3). Suppose -2*h + y = 5*k, k = 2*k - 3*h - 3. Suppose 407 = 5*a - 3*a + 5*d, 3*d - k = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-r + 0*r - r)*(2 + 0 + 0) - 2 + 2 - 2*r - 2 - 2*r + 2 - 2*r + 3*r + r)*(-6*r + 11*r + 11*r) - r**2 + r**2 + 2*r**2 as n + h*r + q*r**2 and give q.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 424 and 1062\/1947*(-242)\/(-3)?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-18)\/(-6) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212120210112 (base 3) to base 15.\nAnswer: -92835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2967348.\nAnswer: 2, 3, 247279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g = 12*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 + (-175 - -140) + 57.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 93832, 93855, 93878, 93901, 93924?\n\"Answer: 23*c + 93809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*o = -31*o + 327 + 453 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(-7) - (-20)\/(-2). Let b(v) = v - 1. Let y be b(-8). Is m at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from {r: 2, v: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 1. Let u be i(-1). Suppose -7*p = -34 - 50. Suppose 5*h - u*h = p. Is 3 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -2*z**3\/27 + 5*z**2\/3 - 52*z\/9 + 110. Solve w(r) = 0 for r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z + z**3 - 2*z + (-4*z**2 + z**2 + z**2)*(0*z + 3*z - 2*z) + 3*z**3 - z**3 + 0*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-18) - (-3 - -2 - -3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12 at most as big as -14176\/1317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/2, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 14\/4*40\/14. Let j = y + -5. Solve v = w + 3 + 4, -j*v = -15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 0, 2*j = -3*q - 3*j + 75. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 361885 and 1383.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76746547 divided by 3.\nAnswer: -76746547\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (65\/(10\/(-2))*(-2)\/(-4))\/2.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -94399*x + 94399*x - 254*x**4 - 4*x**4 + 3*x**4 - 3*x**4 + (-7*x**3 + x**3 + 4*x**3)*(-3*x + 0*x + 2*x).\nAnswer: -256*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.96 + -1.194. Let q = s - -0.234. Is q < 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c + 14. Let b be d(-8). Suppose -615 = -b*i + i. Let f = i + -70. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -3*u + d, -2431*u = -2435*u - d - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 0. Let f = 79 + -78.7. What is the closest to f in 1\/6, g, 1\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-98)*(-56)\/120*-5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15279 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dm when two letters picked without replacement from ffdmzffzmqfmfmzmzmmq?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -127364 - 6047?\nAnswer: -135433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 199 + -44. Let d = 403085\/7 + -57428. Let k = d - l. Which is the closest to -1?  (a) k  (b) 3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21212 + -21209. Solve o = -v*y - 6, 12 = -3*y - 2*o + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 65641*h**2 + 269*h + 541. Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + d - 120 = 5*n, d - 20 = -5*n. Let o = d + -17. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3378247 or -3378459?\nAnswer: -3378247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 - 3*w - 6. Let n(p) = -p**2 - 3*p - 5. Let r(a) = -3*n(a) + 2*o(a). Let q be r(0). Solve -q - 3 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -82, 5, -4, -3266, -200 in decreasing order.\nAnswer: 5, -4, -82, -200, -3266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269 is divided by 672\/(-1176)*469\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-1 + 0) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*a + 18*a + 2. Does 25 divide (a - -5 - -24) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2475\/44*(-28 - 1776\/(-60))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2280 = -143*a - 9*a. Solve -3*x = i + 10, x + 13*i - 15*i = -a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.7*48.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -u - u - 2*u + (0*u + 4*u - 2*u)*(-1 + 1 - 1) - 9*u - 15 + 15 + 0*u + 0*u + u in the form d + l*u and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -4*c**2 - 2*c + 7. Let m(q) = -3*q**2 - 2*q + 7. Let h(d) = -5*m(d) + 6*v(d). Let w(l) = -5*l**2 - l + 4. Determine 3*h(x) - 5*w(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 779579, 1558633, 2337687, 3116741, 3895795, 4674849?\n\"Answer: 779054*w + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10024 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 7. Suppose -4*m - 42 = -g - o, -104 = -2*g - 3*m. Suppose 192 = -0*k + 4*k. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0, -1, -50.94, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6863.\nAnswer: 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.43, 8, -1\/5 in descending order.\nAnswer: 8, 0.43, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151511 is divided by 428?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -321.88 from -4.\nAnswer: 317.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1993.7 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k - 1. Let a be x(0). Let l = 5 + -1.2. Let j = l - 7.8. What is the closest to 0.1 in a, 5, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*l**2 - 408 + 4*l**3 + 410 - l**3 to n*l**2 + a + u*l + t*l**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of j**6\/720 - j**5\/60 - 3*j**4\/2 - 37*j**2. Let s(w) be the second derivative of l(w). Give s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1369, 5311, 11877, 21067?\n\"Answer: 1312*k**2 + 6*k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/204 and -169\/24540?\nAnswer: 417180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 997614695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 120 and 1901.6.\nAnswer: 2021.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s + 4*y + 37, -4*s - 53*y + 52*y - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197230256.\nAnswer: 2, 12326891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*s - 795 + 49 = 502 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35 and 65\/15 + -4 + (-492)\/(-9)?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.248 - -0.048. Let n be 390\/192 - 0 - 1 - 1. What is the third smallest value in 0, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/6 + 119*a - 3545\/6.\nAnswer: -(a - 709)*(a - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u + 306 = 276 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -586, 5389, 11364, 17339, 23314, 29289?\n\"Answer: 5975*c - 6561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 3 = -2*o, -3*o + 6*r - r + 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -160*y**3 + 323*y**2.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -1\/6*i**4 + 2*i**2 + 1\/15*i**5 + 0*i**3 + 0 - 1\/120*i**6 + 0*i. Suppose a(r) = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12001, -24001, -36001?\nAnswer: -48001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -98.1 - -98. Which is the nearest to u?  (a) -1\/7  (b) -18  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 28029124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -o**4 + 862*o**2 - 2*o + 1004 wrt o?\nAnswer: -4*o**3 + 1724*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12006 by 12006.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -6. Suppose 4 = r*p - 2*h, 3*h + 2 = 5*h. What is the second derivative of 13*q + p*q + 21*q**2 - 7*q wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 7:34 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 234295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2484 - -2483. What is the closest to 0 in r, -0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3246 (base 9) to base 7.\nAnswer: 6654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 12:09 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, f: 3}. What is prob of sequence ffee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 1. Let c(j) = -j. Let s(n) = 4*c(n) - z(n). Calculate the remainder when 27 is divided by s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*2170072\nAnswer: 6510216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 2.2. Let s = l + 0.7. Let d = -1721.7 - -1722. What is the closest to 0.1 in d, s, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 4*x**2 + 7624*x + 15232 = 0.\nAnswer: -1904, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g - 3794 + 3821 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of 17*z**6\/3 + 22*z**3\/3 + z**2\/2 - 21. What is the third derivative of v(p) wrt p?\nAnswer: 2040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**3\/k**(-2))\/(k**0*k)**(-1\/4))**(6\/19))**(-35) assuming k is positive.\nAnswer: k**(-2205\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, 2\/31, 1.5, -419, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -0.7  (c) -122\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 1) + (12 - 5) + -3. Suppose -4*t - 4*y + 107 = -3*y, 4*y - 92 = -m*t. Calculate the least common multiple of t and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/4))**23*a**(2\/3)\/((a\/(a*a\/(((a\/a**(2\/5))\/a)\/a)))\/a) assuming a is positive.\nAnswer: a**(589\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - f - 4, 32 = 2*r + 2*f + 2*f. Suppose r*j + 12 + 4 = 0. Put 0, -4, j in descending order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/5, 0.3, -320, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-90)\/(-675) - (-163484994)\/45. Round f to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9 - -2?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -218 + 215. Is 9 a factor of ((-20)\/(-7) + l)*-230*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 9:19 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10 + (-6 + 6 - 2). Solve -j + 2 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -27, -6, 19, 48, 81, 118?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1449)\/(-1242)*3432\/(-52)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1172 in -12, -3, -1, -8\/9, 3?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 276 + 74. Suppose 0*y - u = -5*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z + z**2 - z - 2 + (1 - 4*z - 1)*(z - z + 3*z) + 0*z**2 + 0*z**2 + 2*z**2.\nAnswer: -9*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1418, -2831, -4242, -5651, -7058, -8463?\nAnswer: -9866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -i**5\/60 - 11*i**4\/24 - 11*i**3\/6 - 2*i**2. Let q be b(-8). Suppose 0*g + g - q = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 87\/(-29)*(-8)\/6. Which is the nearest to j?  (a) 1  (b) 2\/7  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**3 + 199*g**2 - 4088*g - 26. What is i(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58642758?\nAnswer: 2, 3, 17, 127, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 + 154. Find the first derivative of i + i - 2*i**3 + u - 192 + i wrt i.\nAnswer: -6*i**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2\/265 and -4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3321.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.02 + 0.02. Let t = q + 5. Let n = 2.2 + -2. Does n = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1297161 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 0.309.\nAnswer: -0.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of t**3\/3 - 9*t**2\/2 - 5*t - 6. Let o be l(10). Suppose -o*n + 5 = -4*n. Solve -4*s = -n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -535*g**2*x**3 - 10*g**2*x**2 - 21*g**2*x + 571*g*x**3 - 427*g*x**2 wrt x.\nAnswer: -3210*g**2 + 3426*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 113327216 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 409*b - 34. Suppose 0*h - 3*l = 4*h - 21, -5*h + 4*l + 65 = 0. Is n(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54265090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27*(13\/(-39) - (-12)\/9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o. Let c(n) be the first derivative of 15*n**2\/2 - 1772. What is c(w) - 6*i(w)?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536699?\nAnswer: 536699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71791667?\nAnswer: 71791667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/(-84) + (-38)\/(-14). Suppose -5*n - 1 - 7 = 4*i, 2*i + 4 = t*n. Solve n = -3*u - 3*x + 12, 2*u = -2*u + 2*x + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 11. Calculate the least common multiple of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31364.72ug in milligrams?\nAnswer: 31.36472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/5)*d*((d*d**1)\/d)\/d*d*d*d**(3\/8)*d*d**(-1)*d)\/((d\/(d*d**(-3\/7)))\/(d\/d**(-5))*d\/d**6*d\/d**5*d) assuming d is positive.\nAnswer: d**(4913\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 2*q = 2, -206*z - 19 = -202*z + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -279.5823 rounded to 0 decimal places?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (269 - (-2345114)\/(-8584)) + 4\/(-74)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 109474*b - 109474*b - 77*b**3 + (8*b**3 + 0*b**2 + 0*b**2)*(0 - 3 + 2 + (2 - 1 - 3)*(3 - 3 - 1)).\nAnswer: -69*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(1 + sqrt(3888) + 3)**2 + (-2*(sqrt(3888) + 0)*-1)**2.\nAnswer: 576*sqrt(3) + 23355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 6*g + 8. What is the remainder when p(12) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 20749640 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (14\/4 + -2)*100\/30. Let i(s) be the first derivative of -1\/5*s**b + 0*s**4 - s**2 + 0*s**3 + 0*s - 3. What is the second derivative of i(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 0*c + 3*c - 4*c + 2. Suppose -5 = z - o, -o = z + 2*z + 19. Is 4 a factor of y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45 divided by 452\nAnswer: -45\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*m + 77*m - 2*m**3 + 3*m**3 + 0*m**3.\nAnswer: m**3 + 56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -2*q**2\/9 + 184*q\/3 - 4232 = 0.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-13)\/((-455)\/(-10))*14\/(-8). Factor 1\/3 - o*v + 1\/6*v**2.\nAnswer: (v - 2)*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-22)*p)\/(p*((p\/(p**0*p)*p)\/p)\/p))\/(((((p**(1\/13)\/p)\/p)\/p)\/p)\/p)**(1\/15))**(-1\/27) assuming p is positive.\nAnswer: p**(3836\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-256)\/(-216))\/((-3264)\/(-1224))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 76, -1 in descending order.\nAnswer: 76, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14380 + -64?\nAnswer: -14434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 + 15. Let k be 0*(15\/x - 2). What is the second derivative of k*s**4 + s - 2*s - s**4 wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 3)\/(7 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2268374*w + 13610245. What is f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 9*s**2 + 2*s - 4. Let y be k(7). Calculate the highest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = u, -3*u + 278*a - 274*a = -11. Solve -j = -4*g + 8, g - 5*g + 24 = -u*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 1 - 7*t + 3*t)*(27 - 27 - 17*t).\nAnswer: 68*t**2 + 170*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.6 + 0.4. What is the nearest to 1 in 4, -5, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17670 = -5*z - 25*z. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 170798572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1152 - 1112. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67036890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -y**4 + 156336*y**3 - 43971*y**2 wrt y.\nAnswer: -24*y + 938016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4759091826.\nAnswer: 2, 3, 17, 1301, 35863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 6  (b) 18  (c) -110811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -907 + 910. Let a be 0 - (-2 - -3 - 2). What is the closest to -9 in j, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 259*g**2 - 8959*g + 7961. Calculate a(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 368 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -56 - -59. Suppose -5*g - v*x - 113 = 25, -5*g + 4*x = 131. Let m = g - -29. Solve -3*t + 22 = -4*n, t - m = -n - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2919486 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 404*a - 36 = 396*a + 36 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-9)\/(q\/q**(2\/9)))\/(q*(q*q*q\/q**0)\/q*q**2))**6 assuming q is positive.\nAnswer: q**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15732113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53948 is divided by 325.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 185 - 185. Let z be -216 + (2 - 6) + y. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/6*-9 + -3. Let x = d - -6. What is the lowest common multiple of 11 and x?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96169173977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 634514 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*h*i*s - 196*h*i - 12*h*s**2 - 13*h + 2*i*s**2 + 231*i*s wrt s?\nAnswer: 2*h*i - 24*h*s + 4*i*s + 231*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -30, -39, -1, 4, 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**4 + 4 - 8*g**2 + 10*g**2 + 3*g**4)*(-1 + 1 - g).\nAnswer: -3*g**5 - 2*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 961 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z - 16*z = -33*z. Solve z = 29*b - 26*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 50180*j + 50180*j + 12 - 20 + 303*j**2.\nAnswer: 303*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 109427076 and 69696.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*v**2 + 7 - 21 - 5*v**2 as l*v**2 + z*v + t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -100 + 92. Let u(i) = -i**3 - 7*i**2 - 12. Let o be u(f). Suppose -b = 3*z - 92, 2*b - o = 5*z + 110. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -308033800 rounded to the nearest 1000000?\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 10:25 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 13184363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -164 + 80. Let b = k + 83.8. What is the fourth biggest value in 19, 1\/9, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16710 is divided by 234.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, l: 4}. What is prob of sequence lhhl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21724*b**4*z + b**4 + 456*b + 56*z wrt b?\nAnswer: -260688*b**2*z + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(475) + 5) + (sqrt(76) - (sqrt(76) + (sqrt(76) + ((sqrt(76)*2 - sqrt(76))*-5 - sqrt(76)) - sqrt(76))))\/sqrt(4).\nAnswer: -4*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) - (sqrt(245)*-2 + sqrt(245))*5)\/((sqrt(14)*2)\/sqrt(2)))\/(-2*sqrt(847)*-2 + 6*(sqrt(847) - (sqrt(847) + (sqrt(847)*2 - sqrt(847))))).\nAnswer: -3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.1, -2, -3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(-1)*d*d\/(d**(-5)*d)*d**2*d**(-3) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 7  (b) -9  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30178864*l + 11893925.\nAnswer: -30178864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -223*w - 6448. Let z be j(-29). Let x = 6 + -4. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(167 + -1 + 3). Let v = 395 - 398. What is the remainder when 154 is divided by (v - 2\/2)*d\/26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*o = w - 5, 0 = 5*o. Let k(d) = d - 1. Determine k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2733 by -1165.\nAnswer: 2733\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1645)\/(-329))\/(3*-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 7408\/367 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02514929 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 124 - 16 = 0. Which is smaller: s or -27?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 643 - 633. Calculate the greatest common factor of 270 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1121725 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (4 - 15 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46*z - 10*z**3 + 0 + 134*z - 7*z**3 + 2*z**2 - 3 - 176*z to p*z**2 + c*z**3 + q + k*z and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -330*d - 9904. Calculate b(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 5 = 3*l. Let g = l + -1. Calculate the remainder when 4 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19.631349 - 0.715589\nAnswer: -20.346938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o**3 + o - 2. Let v be m(-2). Suppose 3*g + 6*l + 20 = l, 2*g = 5*l + v. Let b = g - -6. Let d(j) = 2*j - 5. Determine d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*h = 0. Suppose -5 = t - h*t, -140 = -5*c + t. Let k = 18 - 4. Calculate the remainder when c is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -4*h + 4*v - 68, -5*h + 95 = 3*v. Calculate the highest common divisor of 33 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*q - 71 = 0, -v - q = -3*q - 77. Let t = 114 - v. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 451 = 2*d, 514 + 415 = 4*d + 3*t. Round d to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 3 - (-2 + 2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 111117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**5 + 5647*g**4 - 7702486*g**3 - 769441260*g**2 + 4892718600*g = 0.\nAnswer: -99, 0, 6, 2870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*k**2 - 40*k**2 - 38*k**2 + 146*k**2 - 24*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -k + 5*v, v + 23 = 3*k - 27. Suppose -k = 2*c - 5*c. Suppose 10*d - 70 = c*d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -6*o**3 + 5*o**2 + 5*o + 2. Let f(j) be the first derivative of -5*j**4\/4 + 4*j**3\/3 + 2*j**2 + j + 81. What is 5*f(m) - 4*q(m)?\nAnswer: -m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tphtppdtpdth. What is prob of sequence hpt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3032*q. Let k(d) = -92473*d. Calculate -5*k(r) + 152*w(r).\nAnswer: 1501*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7191 + 4223. What is w rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87265033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 30*q**2 + 81*q. Let o be h(27). Let v = 15 - 15.7. Let d = v - -4.7. What is the closest to 0 in -5, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**2\/j)\/j)\/j*j**(2\/3)*j**0\/((j*j**4)\/j) assuming j is positive.\nAnswer: j**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -8*b**3 - 23*b**2 - 4*b + 7. Let l(q) = 4*q**3 + 12*q**2 + 3*q - 3. Let c(z) = 7*l(z) + 3*t(z). Factor c(y).\nAnswer: y*(y + 3)*(4*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**5\/8 + 3*c**4\/2 - 5*c**3\/4 - 15*c**2 + 9*c\/8 + 27\/2 = 0.\nAnswer: -12, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.8 + -0.8. Let u = -28.5 + 55. Let f = u - 27. What is the second smallest value in -2, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 5352 = -2*l, 3*l + 96*d - 101*d = 8028. What is the highest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -115\/78 + -5\/26. What is the third biggest value in t, -2\/5, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -8*i**5\/3 + 4663*i**4 + 5260*i**3\/3 - 7578*i**2 - 5252*i\/3 + 2915 = 0.\nAnswer: -1, 5\/8, 1, 1749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -321 + 451. Let q = -93 + l. Let i = q - 36. Put 0.2, 1\/7, i, 3 in decreasing order.\nAnswer: 3, i, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a - -ab0?\nAnswer: aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -21*n - 30. Suppose -4*u - 2*y = 20, 4*y - 38 = 2*u + 3*u. Let d be w(u). What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v. Let g be (0 + 0)\/(-4 + 5). Let p be i(g). Suppose s = 4*h - 4, -h = -p*h. Which is the nearest to -2\/9?  (a) -0.3  (b) 5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {n: 3, s: 1, o: 1, z: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 5*q**4\/4 + q - 4. Let z = 0 + 1. Let t be y(z). What is the greatest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -98*f**3 + 448*f**2 + 411*f\/2 + 45\/2.\nAnswer: -(f - 5)*(14*f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dgfelglh. What is prob of sequence fh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 28 = 0, -3*a + 20 = 3*t - 10*t - 41 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5247 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9412 is divided by 133.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2775)\/(-12))\/((-5)\/(-60)). Let b be j\/20 - (-1)\/4. What is the third derivative of -b*w**4 - 5*w**2 + 139*w**4 - w**6 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 30 = 4*y + 6*l, 3*y - l + 10 = 0. Let c = y + 9. Suppose 52 = 3*j - 5*h, -5*h = -c*j + 8 + 58. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -84*d + 29. Let t be i(3). Let p = -23 - t. Does 50 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*t**4 - 2*t**4 + 54*t**4 + (4*t**3 - 3*t**3 - 3*t**3)*(-4*t + 0*t + 3*t) - 3*t**4 + 6*t**4 - 2*t**4 - 2*t**4 + 0*t**2 + 0*t**2.\nAnswer: 67*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-8))\/(((-6)\/8)\/(-3)). Solve -5*z = 4*i - 29, 7 = y*z - z - 3*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 253 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h + 129. Calculate the remainder when 572 is divided by g(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2 = 3*q + 23, -2*j + q + 15 = 0. Suppose -j*s = -2*s. Solve -4*x = s, 4*k - 5*x = -3*x + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (104\/14)\/((-11116)\/38906)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -6039, -1\/8, -1 in decreasing order.\nAnswer: -1\/8, -1, -14, -6039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**3 - 2*i**2 - 4*i. Let j be p(3). Suppose 103 + 44 = 3*l. Suppose j + l = 4*u. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 133*z + 38 + 34 = 128*z, -8*z = -5*s - 98 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 16*s**2 + 16*s - 2. Let a = 37 - 13. What is the remainder when a is divided by b(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/315*9*(-3)\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4292*i - 139564 = 2775*i for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 86377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 840547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwzzzwwwwwwwzzwwz. What is prob of sequence zzw?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**3\/5 + 11*h**2\/5 - 24*h\/5 = 0. What is h?\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/(-294))\/((-2)\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 96*g**3*h**2 - 2*g**3 - 15*g**2*h**2 - 20*g**2*h wrt g.\nAnswer: 576*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 927, 460, -17, -510, -1025, -1568, -2145, -2762?\n\"Answer: -v**3 + v**2 - 463*v + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-1))\/((-32)\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*o + 21*o + 7320 = 3*v, -v + 5*o = -2460. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 2:52 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1525835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -49.56 + 49.3. Which is the third smallest value?  (a) 1\/2  (b) o  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1765426631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -1905*g + 1907*g, 4*v + 5*g = -1 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/3 - 66\/(-18). Suppose 4*t + f = -9. Is (-21 - 2)*(-6 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 7674*v + 15371. Determine s(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29)\/(464\/48) - (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 12 + -6 + -4 + 0 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 179*w**5 - 828*w wrt w?\nAnswer: 3580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m**2 + 787*m + 15205. What is b(-175)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (2 + (-11)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*f = -4 - 38 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**2 - 56*m - 17. Let w(n) = 2*n**2 - 19*n - 6. Calculate 6*p(x) - 17*w(x).\nAnswer: -4*x**2 - 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**3 + j**2 - j + 4. Let m be 11\/((-22)\/28) + 5 - -6. Determine f(m).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*x - 10359 = 1752. Let o = 369 + x. Solve -t - o = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7099.6 times -3\nAnswer: 21298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 9, a: 11}. What is prob of sequence aaii?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -78*n**3 + 57*n**3 + 10 - n**2 + 13 wrt n.\nAnswer: -63*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 26*h**2 + 58*h - 43. Calculate the remainder when 22 is divided by l(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/7, -1, 0, -0.011?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -30*c + 630. Determine i(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/(-5))\/(6\/(-18)*-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32244 + -1.\nAnswer: -32245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*5*3\/6. Let k be r\/(4\/8*-2). Let x = 8 + k. Solve -4 = 2*s + 2*s, -x*v - s = 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00020189081 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 19942.51 decades?\nAnswer: 199.4251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*g**6 + 292*g**4 + 98821*g**2?\nAnswer: 3960*g**3 + 7008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -z + 5*z. Let v be (2\/(-274))\/(8\/(-16)). Let i = v - 296\/1507. What is the smallest value in i, -0.1, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 - 6*v - 4. Let k be i(-5). List the prime factors of k - (-18 - 6\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 544735 or 544737?\nAnswer: 544735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.61 - 7.23. Round u to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38\/(-8) + 26 - (-54)\/(-2)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*r**4\/7 + 4460*r**3\/7 - 97658*r**2\/7 - 80280*r\/7 - 16200\/7 = 0 for r.\nAnswer: -2\/5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 226*h + 58. Let c(t) = -t**2 - 9*t - 17. Let k be c(-4). Is 92 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 10*v**2 + 12*v - 15. Let x be t(11). Let h be ((-2)\/24)\/(x\/18). Sort h, -2\/7, 1 in ascending order.\nAnswer: -2\/7, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11250059965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -828 = -4*u - 4*l, 4*u + 7*l - 6*l - 813 = 0. Let d = -205 + u. Put 5, d, -76 in descending order.\nAnswer: 5, d, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3*b**3 + 29*b**2 - 338*b - 29. Is q(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 - 3*o**4 + (-146*o - 76*o - 109*o)*(2*o**3 + 3*o**3 - 6*o**3) + 1 + 2*o**4 - 1.\nAnswer: 330*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 13 + 4 - 4 - 20*f as z + u*f and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 105\/62348 and 3\/416?\nAnswer: 498784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**5\/6 + 283*c**4\/6 + 3055*c**3\/2 + 23475*c**2\/2 = 0. Calculate c.\nAnswer: -15, 0, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5196742 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9513 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 116978 and 1458?\nAnswer: 85276962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of 9*v + 0*v**5 + 0*v**6 + 11\/42*v**7 + 0*v**2 - 11\/6*v**3 + 0 + 0*v**4. Find the second derivative of a(z) wrt z.\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1046 + 1049. Let f(a) = 2*a - 2. Let t be f(4). Let x(w) = -w - t + b - 1 + 12*w**2 + 5. What is x(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.7 - -3\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10106169.\nAnswer: 3, 59, 57097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -3. Suppose -u + 22 = -w*u. Let p = u + 21. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24160 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or -14708\/1585?\nAnswer: -14708\/1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 3, 625, -38.\nAnswer: -38, -3, 1, 3, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.378319893 less than -0.2?\nAnswer: -0.578319893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49, 48, 45, 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**2 - r + 23. Let t be u(5). Let a(z) = z**3 - 5*z**2 - 6*z + 2. Let w be a(6). Let d = w - -15. Calculate the highest common divisor of d and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -13*r**2 - r - 7. Let x be h(4). Suppose 4*q - q - l + 52 = 0, 0 = 5*q + 2*l + 94. What is the common denominator of 7\/20 and (1\/(q\/x))\/(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 158?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from zpdrgo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 139334807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 1006*a - 5. Let f(g) = 1011*g - 4. Give -6*f(x) + 5*k(x).\nAnswer: -1036*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/3, 4, 3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 203861 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(17) - sqrt(17)) + 4)*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-40)\/(-30)*30\/4. Suppose 3*v + 1045 = 4*u, k*u = 5*u - 5*v + 1280. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -217, -217, -209, -187, -145, -77, 23?\n\"Answer: o**3 - 2*o**2 - o - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -6*o - 2*k + 44, -5*o - k + 42 = 0. Let s(b) = 7*b**2 + 6*b - 2. Let a be s(-2). What is the smallest common multiple of 172\/a - (-18)\/(-63) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 777069 (base 10) in base 13?\nAnswer: 212907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeepkekp. What is prob of sequence ee?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 1:46 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 7. Solve 0 = d*k - 11 - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19295368.\nAnswer: 2, 193, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.056205 * -0.01\nAnswer: -0.00056205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10461.0007639 + 10461. Round b to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -730, -4 in descending order.\nAnswer: 5, -4, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1211216?\nAnswer: 2, 17, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10*b*i - 1614*b*q + 6*i*q + 3*i - 3*q - 9 wrt b?\nAnswer: 10*i - 1614*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from lwwllw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 1309920?\nAnswer: 1309920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n + 1. Let u(d) = -9*d + 5. Let r(h) = -6*h**3 - 6*h**2 + h. Let f be r(-1). Calculate f*u(p) + 3*x(p).\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*s**3 + 6 - 5*s**2 - 6 + 7 in the form z*s + p*s**3 + b*s**2 + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3113.2 - 5133. What is z rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4368 and 546?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 9:02 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 1:21 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/27)*n)\/(n*n**(-7)))\/(((n\/n**(-5\/2))\/n)\/(n\/((n\/n**(-7))\/n)*n)) assuming n is positive.\nAnswer: n**(-23\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.1 - -0.7. Let f = -44 + 48. Let j = 0 + -1. Which is the third biggest value?  (a) s  (b) j  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-21))\/((-170)\/(-2040))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1346, 2696, 4046, 5396, 6746, 8096?\nAnswer: 9446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3419*i + 48174 = -3345*i. Calculate the smallest common multiple of 56 and i.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/5635 - 5967449\/45080. Let u = 551\/4 + j. Find the common denominator of u and 4\/(-32)*(-584)\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 13*j**3 - 8*j**2 + 487*j + 2953. Give o(-6).\nAnswer: -3065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50916 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8057815 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 712, 792, 872, 952, 1032?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, d: 4, b: 1, x: 7, u: 4}. Give prob of picking 1 i and 2 d.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10510638.\nAnswer: 2, 3, 1751773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f + 1. Let l(x) = -1. What is -3*g(q) - l(q)?\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -25*q**2. Let u(r) = 146*r**2 - 7*r - 7. Let f(y) = -95*y**2 + 5*y + 5. Let o(d) = 7*f(d) + 5*u(d). Determine b(o(h)).\nAnswer: -105625*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-594)\/(-165))\/(-18))\/(11\/(-20)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - z + 1. Suppose 2*i - 14 = -2*u + 6*i, 5*u = -2*i + 23. Let d(k) = -4*k**2 - 8*k + 1. Let s(o) = u*c(o) - d(o). Give s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -10. Let k = 137.38 - 141.38. Which is the fourth biggest value?  (a) -2  (b) k  (c) z  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -62, 3, -2, 4, 8, 1660 in increasing order.\nAnswer: -62, -2, 3, 4, 8, 1660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18553507 and 160034.\nAnswer: 3479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31733869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -1011011110110?\nAnswer: 1011011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of b**5\/240 - b**4\/32 + b**3\/12 - 52*b**2. Find o, given that l(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 2*n + 23789 = 23780, 4*c = 9*n - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -15*((-16)\/(-6) + -3 + 1). Let m(o) = -o**3 - 10*o**2 - o + 10. What is the units digit of m(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 7:08 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) -5  (c) 3  (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8762830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n**2 + 14*n - 6. Let p be g(-8). Solve 2*x = 4*x + p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2\/2 + -4)*(-758)\/6.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -264*x**2 - 77*x. Let f(p) = 17*p**2 + 5*p. Give 77*f(h) + 5*z(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 4. What is the common denominator of 4\/18 + 15\/27 and 2\/z + 47\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6950, 6952, 6954, 6956?\n\"Answer: 2*l + 6948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3*a**2 + 7*a + 1. Let k(b) = 5*b**2 - 14*b - 3. Let i(d) = 4*k(d) + 7*y(d). Let f(m) = -39*m + 189. Let t be f(5). Give i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - (-3 + -2) - 4. Solve -15 = -2*k + c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187451717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-154)\/21)\/(32\/(-48)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.05 + 23. What is n rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(17\/5)\/u**(-10)*u\/(u\/u**44*u)*u*u**30)**(-2\/23) assuming u is positive.\nAnswer: u**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 60.571348 and -10.\nAnswer: 50.571348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7470 (base 11) to base 6.\nAnswer: -113422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, p: 15}. What is prob of sequence sppp?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a464a (base 11) to base 9.\nAnswer: -803041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 + 28*u**2 - 4908*u + 79556. What is f(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/4 + 1*(-6)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 - -21. Let y be (9 - 6) + t + 0. What is the highest common divisor of y and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 899 divide 3296633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 294, -5 in increasing order.\nAnswer: -5, -2, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of 1\/3*g**3 + g + g**2 + 0. Let j = -8 + 6. Let x(k) = -k - 1. Give j*l(m) - 3*x(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -17*x + 165. Let o be s(9). Let v(g) = 2*g - o*g + 9*g. Let f(l) = l. Let n(j) = -8*j**2 - 56*j. Let r(p) = -280*f(p) - 5*n(p). Calculate v(r(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 185, 6, -1, 0, 4, -318.\nAnswer: -318, -1, 0, 4, 6, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11517 - 5?\nAnswer: 11512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 3:29 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 271186163.46 less than 0.159?\nAnswer: -271186163.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 8, -5, 3\/11, 0, 0.8, 0.5, -0.98?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.6 - 5.7. Let k = 80.952 + -78.9. Let l = v + k. Round l to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8067, -8090, -8107, -8118, -8123, -8122?\n\"Answer: 3*v**2 - 32*v - 8038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 575, -1, 13 in increasing order.\nAnswer: -1, 5, 13, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - p**2 - 2*p. Let y be h(-2). Let i = 470 - 468. Suppose y*v - 2 = -i. Solve -5*c + 6 + 4 = v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 1 = -0. Let p(z) = z**2 - 12*z + 4. Let h be p(10). Let c = h - -133\/8. Is c <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 + 136\/36 + -1. Suppose r = -x*r + 160. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2315188\/337 - 6870. What is the fourth biggest value in 3\/2, -4, h, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -613*s + 2060 + 7969 + 5235 = -136*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*f = 61*f + 8. Factor -a**f - 1\/3*a**5 + 0 - a**3 - 1\/3*a**2 + 0*a.\nAnswer: -a**2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 5*h**2 + 2*h + 2. Let j be l(-5). Let n(b) = -b**2 - 10*b - 2. Let f be n(j). Let q = 14 + f. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -241729 from 0.31196929.\nAnswer: 241729.31196929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 282\/(-470) + -1 + 81\/(-15) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + o - 172 + 63, -5*r = -o - 195. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -7*p + 1. Suppose 3*j - 366 + 363 = 0. Let f(t) = -23*t + 2. Let x(o) = j*f(o) - 3*u(o). Determine x(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and 79.\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5873*r + 31270 = -5467*r + 10810*r for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-15)*-2*9\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 100971.43 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 10*z - 1185. What is y(111)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*f = 96, -5*f - 23 - 33 = -2*u. Suppose 18*h = u*h - 1515. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 4:56 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2853 is divided by 996.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**5\/20 - 7*s**4\/12 - 7*s**3\/6 + s**2\/2 - 3*s - 5. Determine q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 266811.44 and -2?\nAnswer: -533622.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 298 - 303. Let q be (-16)\/2 + 15 + h. Factor 1\/10 - 1\/5*r + 1\/10*r**q.\nAnswer: (r - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = -4, 4*o - 4 = -3*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 7. Suppose -3*v + 0*a + 31 = a, -3 = -v - c*a. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + 2 + 2 + 1)**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from jhixihihehej?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y + 2. Let n be 6*3*1\/6. Let q be 9*(-1)\/(n + 0). Give m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -578*a + 1064. Determine n(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 2.1.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-3))\/(228\/285*10\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-18)*(-24)\/(-20)*2. Sort -0.5, -3, 1, w.\nAnswer: -3, -0.5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1384149255 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 397 = -15*i - 938, -356 = -3*m + 67*i - 63*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/13)\/n**(-1\/10))\/(n*n\/(n\/(n*n**(-6\/5)))*n*(n*n**9)\/n) assuming n is positive.\nAnswer: n**(-1411\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*k + 3 = i, 0 = 5*i - 2*k - 3. Let c be i\/(3\/3750*-2). List the prime factors of ((-1)\/2)\/1 + c\/(-10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of 5*c**2 + 6*c + 4. What are the prime factors of j(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/11, -13, -4.7 in ascending order.\nAnswer: -13, -4.7, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 60 - 68. List the prime factors of ((-54)\/k)\/(69\/2576).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44780901378 plus -16?\nAnswer: 44780901362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, y: 5, o: 11, z: 3}. What is prob of sequence ozo?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 5*z + 92, -3*z - 4*a = z + 64. Let j = 95 + z. Let f = -49 + j. What is the lowest common multiple of 24 and f?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-10))\/((-756)\/17955).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -626910603350 minus 0.0598?\nAnswer: -626910603350.0598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117 and 252096?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7061.818 decades?\nAnswer: 847418.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 20*o**3 - 1. Let f be m(1). Solve -4*j = 5*p - 35, 3*p + 2*j - f = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/(-2) - -2) + 37 + -65 + 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 13) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 3*j - 129, -2*j + 66 = 2*o - 0*j. Let i(c) = c**2 - 7*c - 3. Let x be i(8). Suppose 36 = x*n + f + f, 4*n - o = 3*f. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 11*f**3\/3 - f**2\/2 + 9*f. Let d be 0\/(2 + -1) + 2. What is the tens digit of x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/10*16\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 603088 is divided by 40196.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-5 - 0) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.34 - 2.26. Let k = -7.9 + a. Let i = k - -8. What is i rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*f = 32*f - 5*w - 250, 2*f = 4*w + 98. Put -5, -3, f in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 240512577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 2*s + 19. Let t = s - -14. Let b be (-6)\/t - 8\/6. Is b at least -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 139*a**5 - 3*a**3 + 262*a**2 wrt a?\nAnswer: 8340*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -302549361*f + 7464415 with respect to f.\nAnswer: -302549361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 112842.\nAnswer: 1\/56421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:23 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*l - 69016 + 69104 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -116  (b) 0.5  (c) 2\/7  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2393083 and 5159.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 4*r - 3. Let w be b(-5). Let v(c) = 2*c**2 - 2. Let t be v(-2). Suppose w*m = 16 - t. Solve 4*z + 1 = 9, -m*z = 3*n - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 times -1671.95\nAnswer: -41798.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 4 = 0, 19 + 39 = y + 4*j. Calculate the remainder when y is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-20 - -6) - (0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/54*3)\/(5\/30).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 44478441 divided by -9249\nAnswer: -4809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 118*z**2. Let o(c) = 8*c + 3 - 16*c - 3. Give b(o(w)).\nAnswer: 7552*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*z + 49*z = -512. Let k(g) = -107*g**3 + 6*g - 127. Let o(l) = -1176*l**3 + 64*l - 1396. Let s(n) = z*k(n) + 3*o(n). Differentiate s(j) wrt j.\nAnswer: -312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5330 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 44349961.\nAnswer: 5\/44349961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12880 and 245?\nAnswer: 90160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 213 and 4761?\nAnswer: 338031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 6 = -4*n. Solve n*u + 2 = 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -207*p**2 + 7*p - 6. Let d be o(1). Let i = d + 208. Solve -i*u + 7*u - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -9. Let o(h) = 11 + 11*h + 0*h - 5*h - y*h. What are the prime factors of o(12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b63 + 4d7?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -525 + 481 = -11*a. Put 0, a, -21, -9 in descending order.\nAnswer: a, 0, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, h: 4, b: 2, e: 1, x: 1, y: 5}. What is prob of picking 1 b, 1 q, and 1 h?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*o = -80*o + 67*o + 2662611. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -713, -735, -757?\n\"Answer: -22*t - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 179719\/609 + -4119\/14. Calculate the common denominator of c and -121\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -42*o*r + 1477*o - 206*r + 11 with respect to o.\nAnswer: -42*r + 1477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-2)*(175\/(-450))\/7)\/(2\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 16, s: 3, a: 1}. What is prob of picking 2 s and 1 a?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/1427 + -2793\/87047. Let i(j) = 22*j - 19. Let o be i(1). Suppose 0 = -2*k + o*m - 3, 56*k - 59*k - 4*m + 4 = 0. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from pfpppfpfpfff.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -47 in -5, -0.05, -2, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5, -1, 4\/3, 0, 2\/57?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37 - -35.48. Let l = -1.7 - j. Let b = 0.02 - l. What is the nearest to b in -0.4, 1\/4, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - -9f?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2875572 + -2875439.0449. Let m = y + -132.9. What is m rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-240)\/(-200))\/((-12)\/80*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 6*g - 1. Let m(q) = -q**2 + 6*q - 2. Let o be m(5). Let k(d) = 2*d**2 - 13*d + 2. Let j(c) = o*k(c) + 7*h(c). Determine j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 8:58 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*r = -70*r - 957. Suppose -g + 7 = -5. Calculate the remainder when r is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2*d - 2 = 2*m, -4*m + 5*d = 2. Suppose -m*y = -4*i + 214, -4*y + 170 + 74 = 4*i. Let r = i - 21. Calculate the highest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -j**2\/4 + 1270351*j\/4 + 317588 = 0.\nAnswer: -1, 1270352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 271\/6 + -45. Let r = -230.868 - 0.132. Let f = -240 - r. What is the biggest value in 0.3, w, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 64, 139, 270, 475, 772?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, 6, 4, 10, -2 in increasing order.\nAnswer: -41, -2, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mtaxo. What is prob of picking 1 t, 1 x, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of w**4\/30 - 4*w**3\/15 + 4*w**2\/5 + 4*w + 2. Let s(i) be the first derivative of u(i). Determine g so that s(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -697 + 7676\/11. Let h = r - 65\/11. Find the common denominator of h and 22\/289.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 12:45 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -583 + 594 + (2 - 31)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5011 a factor of 1046146470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -290, -1168, -2640, -4712, -7390, -10680?\nAnswer: -14588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 0) + -4 + -2 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 31, -61 in descending order.\nAnswer: 31, 0.3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - s)*(5*s - 4*s + 0*s) + 347*s**2 - 189*s**2 - 194*s**2.\nAnswer: -37*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/150*5 + (-15)\/(-2). Let v be a\/126 - 8129\/198. Suppose -5*t + 4*j = 206, -2*t - 53 - 27 = -4*j. Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o - n, -7*o + 2*o + 5*n = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**2 - 4*m + 2*m**4 - 1267 + 630 - 4*m**4 - m**3 + 634 to the form n + z*m**2 + h*m + y*m**3 + d*m**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -2  (c) 187723768\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3800*f + 11062*f - 24372 - 120868 = 0 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000304177 to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -67*q**4 - 2896409*q**3 - 31305804054*q**2 - 62132858012*q + 934329992 = 0?\nAnswer: -21614, -2, 1\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 810 - 388. Let p be ((-2)\/3)\/((-2)\/12). Is t\/p*10\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 2*g - 8 = 3, -4*q + 3*g - 16 = 0. Let j(u) = 3*u**2 - u + 1. Calculate the remainder when (6\/(-5))\/(-8 - 317\/(-40)) is divided by j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 u when four letters picked without replacement from {u: 2, r: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -889. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/(-16))\/(655\/40))\/(87 - 90)\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 3*u = -u + 100, 4*u - 121 = -5*w. Let z = 258 - 189. Suppose -5*j + z = -w. What is the lowest common multiple of 6 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40664*x**4 + 69*x - 17.\nAnswer: 487968*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/13 or 7047919?\nAnswer: 7047919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgxpxtpxptxx. What is prob of sequence xt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 10 = -4*c, -2*c - 8*b + 2 = -6*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1432057433 to the nearest integer?\nAnswer: 37843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3\/2, -0.6, -177, 8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1644 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -2, -0.5, 3\/64?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4128.6 + -4129. What is the closest to 4 in -13, -2\/7, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7366*i**2 - 33 + 89 - i + i**3 + 7285*i**2 - 40 in the form f*i + h*i**2 + c*i**3 + j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + 2*q - 26 + 18 - 4*q**2 to s*q + w*q**2 + i and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*c = -16, 6*q - 2*q + 12 = -5*c. Find the first derivative of -6*x**2 - 45 + 3*x**q + 44*x**2 + 19*x**2 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of s**7\/70 + s**6\/20 - s**5 + 3*s**4 + 14*s**2 + 10*s. Factor j(m).\nAnswer: 3*m*(m - 2)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a*k**4 + 3*a*k**3 - 3*a*k**2 - 4*k**4 + 2*k**2 - 34 wrt k?\nAnswer: 24*a*k + 18*a - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1029 + -477.8971. Let z = 477.7 + f. Which is the nearest to 0?  (a) -7  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -5  (c) 84  (d) -2\/7  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15645572*z**5 - 4*z**2 - 1452163*z wrt z.\nAnswer: -938734320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -5388*p**3 - 64*p**2. Let z(m) = 829*m**3 + 10*m**2. Give -5*i(k) - 32*z(k).\nAnswer: 412*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 126 = d + 26, 2*w = 4*d + 98. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*v = -15*v + 81*v - 68 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*c + 401*c - 229*c.\nAnswer: 263*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-965)\/2)\/5*-2?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (48 - 90) - (3 - (-2 + -6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n - 16. Let k be z(15). Let q = -82 - -823\/10. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 245813352*t**3 - 418226*t**2 + 321*t wrt t?\nAnswer: 1474880112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**4 + 320*t**3 - 9000*t**2 + 100000*t - 312500 = 0. What is t?\nAnswer: 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8808 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(1053) - (4 + -2*sqrt(1053))) - ((sqrt(1053) + (sqrt(1053) + -1 - sqrt(1053)) + -2)**2 + (-1*1*sqrt(1053) - sqrt(1053))))*-4.\nAnswer: -396*sqrt(13) + 4264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9085741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -0.3, 0.2, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3085 and 8.3179?\nAnswer: -25660.7215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 0*v + 7 - 1\/150*v**5 - 1\/30*v**4 - 5\/2*v**2 + 0*v**3. Let j(s) be the second derivative of w(s). Factor j(c).\nAnswer: -2*c*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31 + 82*l**2 + 113*l**2 + 31 as s + b*l + r*l**2 and give r.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.2723891 millilitres?\nAnswer: 0.0002723891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.07 + 0. Let r = 888.67 + -896. Let l = d + r. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 538, 1060, 1574, 2074, 2554, 3008?\nAnswer: 3430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) 8  (c) -5\/6  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 191981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -281, -898, -1873, -3206, -4897, -6946, -9353?\nAnswer: -12118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1331919?\nAnswer: 3, 19, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and -630.21329.\nAnswer: -630.51329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20911 by 223.\nAnswer: -20911\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 - 2*h**2 + 5*h - 4. Let n be b(-4). Suppose m - z = 3*z - n, 0 = -4*m - 4*z + 28. Solve -2*u = -m + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of b**7\/1260 + b**6\/90 + b**5\/60 - 19*b**2. Let u(c) be the third derivative of x(c). Determine u(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4990 + -3270. Which is smaller: w or 1721?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2 + 270336*n + 7570192.\nAnswer: -(n - 270364)*(n + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11407497 to the power of 1\/2, to the nearest integer?\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58625 = 3*u - 7868 + 10936. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4498351, 8996705, 13495059, 17993413, 22491767, 26990121?\n\"Answer: 4498354*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 + -36 + 104 + -88.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) + 0 + sqrt(1008))*2)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -14. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((2*(sqrt(720) + -2) + 2 + 2 + sqrt(720) + 1)**2 + -1).\nAnswer: -12960 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -125*a**4 - 36*a**4 - 10 - 12*a + 3*a - 34*a**4 + 0*a wrt a.\nAnswer: -2340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 6 = -14. Solve -4*z - w = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 5, 4, 0.3, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -574219.39 to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(252)*2 + 1).\nAnswer: -48*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/2*(-4)\/6. Let t(x) = 665*x - 33964. Let s be t(51). Sort -3, b, -4, s in decreasing order.\nAnswer: b, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**3 + 3*k**3 - k**3 + (4*k**2 - 2*k**2 - k**2)*(0 + 0 - 2*k) - k**2 + k**2 + k**3 + (4*k - 3*k + 4*k)*(-126*k**2 + 248*k**2 + 27 - 126*k**2).\nAnswer: -19*k**3 + 135*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41483*t**2 + 40721*t**2 - 82225*t**2.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -u**3\/3 + u**2\/2 + u + 2. What is i(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 112428721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6751861703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -141498577*b*u**3 - 58872198*b wrt u.\nAnswer: -424495731*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + 1 - 1 + (4 + 0 + 3)*(3*c + 6*c + 6*c) to the form z + i*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, 6, -1\/8, 0.134?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2389006453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 7 - (-58 + 49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v**3 - 2*v**2 - 7*v - 3. Determine t(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/8, -2, 2\/5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-5) - 32\/(-10). Suppose -2*t = -o*h + t, -2*h + 5*t - 3 = 0. Let c(l) = -l - 4. Let k be c(-4). Sort k, h, -0.2 in decreasing order.\nAnswer: h, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9602993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 242517768 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.3696009 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 5*m - 20 = 0, 2*m = -u + 4*m - 8. Suppose -f + 2 = -u*f. Suppose -3*w = f*w - 35. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/10120 and 87\/184.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 57\/(-20) + ((-20)\/50 - 1).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1873 = 7*r - 1873 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*y = -110*y - 33. Suppose -y*j + 8983 - 1448 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 361 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 + 8*k + 7. Let l be n(-6). Let j = 6 + l. Let c be 1 + (-14)\/6 - -1. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 - -8.9. Let u = 16 - g. Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2)*0)\/(94\/47). Solve -4*c + 862 - 854 = t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 819 is divided by 83.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -26.14148 to 1 dp.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x + 9*x - 67*x**2 + 25*x**2 + 20*x**2 - 3 + 28*x**2 as q + v*x + o*x**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -0*f + 4*b - 394, 2*f = 6*b + 374. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 11:59 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + m - 30. Determine x(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 12*w**2 - 15*w + 24. Give x(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1546 + -1684.4. Let u = 138 + g. Let s be (-2)\/(-4) + 2\/(-3). Which is the smallest value?  (a) s  (b) u  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/7 - 8088*l\/7 + 2217060\/7.\nAnswer: 4*(l - 1695)*(l - 327)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7294101*f**2 - 5*f*m**2*q**2 + f*m - 70*m**2*q**2 - 367*m**2*q + 19*m**2 - 3*q**2 + 3 wrt f.\nAnswer: 14588202*f - 5*m**2*q**2 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -7*r + 16*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 784388?\nAnswer: 2, 11, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -144, 3, -3, -4 in ascending order.\nAnswer: -144, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**4\/4 - 1711*o**2\/2 - 2576*o + 909. Find the first derivative of f(r) wrt r.\nAnswer: 3*r**2 - 1711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 35, 46, 57?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -2\/15  (c) -0.654798  (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 16*w**2 + 37*w + 52. Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 59 and 293.\nAnswer: 17287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 8. Let m be (10\/7 - o)\/(-2). Sort -1\/3, -3, m in decreasing order.\nAnswer: m, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v**2 + 3. Let o(y) = 2*y**2 + 4 - y**2 - 4. Let h(k) = -2*o(k) + t(k). Differentiate h(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000277569 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -84fa + -4d?\nAnswer: -8547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a**3 + 33*a**2 - 144*a + 250. Let u(b) = 8*b**3 - 133*b**2 + 574*b - 1000. Let p(f) = 6*u(f) + 26*y(f). Find x such that p(x) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*16\/96*27 - -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 19.2  (b) 2\/3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 + 29.7. Let l = p - 1.4. What is the third biggest value in 2\/5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -6*b**2 + 25 - 25. Let f(g) = 2*g**2. Calculate f(r(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.356444 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4227?\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*y - 14820 = -173*y - 78*y - 18*y for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 85320767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 5*z**3 + 4*z**2 - 4*z - 6. Let g(s) = -s**3 - s**2 + s + 1. Let o be (-20)\/12*(-48)\/10. Let w be -8 + (18 - o) - (0 + 3). Calculate w*p(t) - 4*g(t).\nAnswer: -t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 6*z**2 - 7*z + 71. Calculate k(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5106684184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9928.905ug to kilograms.\nAnswer: 0.000009928905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3438136352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 0*p**3 - 24*p**2 - 2*p - 2*p**3 + 22*p**2 + p**3 - 3. Let l = -2 + 0. Let j be y(l). Let v(k) = 2*k**2 + k. What is v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 2, -11 in descending order.\nAnswer: 5, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 268 + 4?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/5)*q*q)**(1\/64)\/((q\/q**(-1\/8))\/q**(-6\/7)) assuming q is positive.\nAnswer: q**(-137\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 12:03 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20 + 24. Let x = -59 + 3. What is the tens digit of (-6)\/p*x\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**3\/5 + 282487816*w**2\/5 - 19949841547112464*w\/5 = 0. Calculate w.\nAnswer: 0, 141243908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*g**3 - 8*g**3 + 71*g**3.\nAnswer: 55*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 403159 - 685773497\/1701. What is the common denominator of p and 67\/4?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 296.05576 + -296. Let l = -6.257 - -6.2. Let w = l + m. Round w to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 848166677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 72 = 76. Suppose w - 2*u - 2 = h, 0 = 2*w + 4*u + 28. Let k(v) = 3*v + 5. What is k(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/2907308 and 83\/3132.\nAnswer: 78497316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2375*b + 779. Let i be t(1). Calculate the highest common factor of 114 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q - 2. Let b be o(-3). Let k be b\/(-2) + 1\/2. Suppose -5*i - 3*j + 51 + 31 = 0, j = k*i - 38. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0 + 10 + 1 + 32*o + 23 wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -355, -5, -59, 5 in ascending order.\nAnswer: -355, -59, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.854 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 0 - 1\/110*m**5 - 8\/33*m**3 - 5\/66*m**4 + 2*m - 4\/11*m**2. Determine h so that b(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, f: 2, s: 1, z: 2}. What is prob of picking 1 s and 2 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5163700 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (4 + -5) - 2) + (-4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -928 (base 12) to base 11\nAnswer: -aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3855, 3852, 3849, 3846, 3843?\n\"Answer: -3*p + 3858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 409 + 132. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = 2*w + 109. Let z(f) be the second derivative of 6*f + 4\/11*f**3 + 0 + 4\/11*f**2 - 7\/66*f**w. Factor z(v).\nAnswer: -2*(v - 2)*(7*v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + -3. Let r be 64\/40 + (-2)\/n. Let f be r\/(2 + (-1 - -1)). What is the greatest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 4*j - 2. Let v be s(-6). Let x = 35 + v. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8820 or 8821?\nAnswer: 8821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -16*v**2 - 557*v + 44. Calculate b(-35).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.0315 or -0.22?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*h = -195*h + 26 + 82 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -94*(118\/(-6) - 0). Let d = -1823 + g. Let f = 26 - d. What is the second smallest value in -3\/2, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of b**6\/120 + b**4\/12 - 7*b**3\/6 + 15*b**2. Does 8 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 0*t - 3 + 3*t + 14*t**3 - t + 2*t**2 to the form m*t + b*t**3 + n + a*t**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i + 4. Let j(d) = -d + 2867 - 6*d + d - 2878 + 3*d. Give 6*j(n) + 17*p(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i + 3*i - 1 + 0 + 3. Calculate w(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 9, 7, 5 in ascending order.\nAnswer: -4, 1, 5, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 143 + 135 = 0. Let i be s\/3 + -7*18\/189. Solve i = 5*a + a + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000264321 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 - 17 = -2*p. Let a = -14 + p. Suppose a = -5*i - 4*j, -4*j - 19 = 5*i - j. Let z(d) = d**3 + 6*d**2 + 8*d + 5. Determine z(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 705*d - 704*d - 543. Suppose -4*j + 741 = 3*k, 3*j - d = 4*k - 2*k. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4598)*-4 + sqrt(4598) + sqrt(4598) - sqrt(4598))*3*-6)\/(((sqrt(18)\/sqrt(3))\/sqrt(3) - sqrt(18)*-3)*2).\nAnswer: 297*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 + -8. Let w = -14 - c. Suppose 20 = w*j + j. Solve -4*h + 7*h + 12 = 0, -j*v - 16 = 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {l: 3, u: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 175 - 125. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42381 + 2 + -12 + -24 + 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 405.4 + -405.9. What is the nearest to 10 in -0.1, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 161855, 1, 0.5, 4, 3\/7, 0.1 in descending order.\nAnswer: 161855, 4, 1, 0.5, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96429.572 - -5.\nAnswer: -96424.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q**2 - 12*q**2 + 21*q**2 - 6*q**2 - 8*q = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 10 = 5. What is the second derivative of -3*w + g*w**2 - 9*w**2 + 3*w**2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11aab97 (base 13) to base 4.\nAnswer: -111000221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3551 - 204?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7335\/26 - -282. What is the second smallest value in -1, -5, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -94564 and 6123528.\nAnswer: 6028964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 23192, 22014, 20836, 19658?\n\"Answer: -1178*k + 24370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ewwo when four letters picked without replacement from {e: 11, o: 1, w: 3}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5585 - 5583. Solve y*o = -2*o + 2*r - 14, -5*o = 5*r - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 AM and 1:57 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvzvzvv. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 - (16668\/180 + -50)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (2 + (-8 - -2) + 18 + 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence db when two letters picked without replacement from dbbubsbabbsuuasabs?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + u**2 + 4*u + 9. What is the units digit of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2\/127 - -893\/254. Let g(l) = -20*l + 65. Let a be g(4). What is the common denominator of 194\/40 + 1 + (-15 - a) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**3\/6 + 17*k**2\/2 - 2*k - 46. Let s be l(-8). Calculate the greatest common factor of 400 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -95, -195, -295, -395, -495, -595?\n\"Answer: -100*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48086 is divided by 229.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -q + 6. Suppose -18*o = -q*o - 550. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 2:19 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 16 - 3*v**3 + 91070*v**2 - 91070*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, -5.3, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.07, -623, 18518, 0.3 in descending order.\nAnswer: 18518, 3, 0.3, -0.07, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - h = -3*h - h, 11*h = -3*l + 15*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 1205*g**3 - 5*g**2 + 18*g + 5. Let o(t) = -602*t**3 + 3*t**2 - 11*t - 3. Calculate -5*o(q) - 3*w(q).\nAnswer: -605*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 + 513*k - 2. Let d(u) = u**2 + 256*u - 1. What is 13*d(p) - 6*s(p)?\nAnswer: p**2 + 250*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-131429 + 39642*o + 262847 - 131418)*(0 + 2 - 1).\nAnswer: 39642*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/6)\/(7\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**3 + 4*b**3 - 2*b**2 + 1 + b + b**4 - 3 + b**4 to the form r*b + i*b**2 + v*b**3 + q*b**4 + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25.1, -74, -4\/3, 0.5, -2\/5 in increasing order.\nAnswer: -74, -25.1, -4\/3, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*r + 23*r - 9*r - 126 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1218 and 2663853?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.096 + 66.904. Let k = 0.3734 + 66.6026. Let z = r - k. What is z rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -913 divided by -6?\nAnswer: 913\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12886965 to the nearest integer?\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49536 and 1100160?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 10:43 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 21*f - 3*f**2 - 52*f + 29*f)*(-34 - 55 + 34 - 3*f).\nAnswer: 9*f**3 + 171*f**2 + 113*f + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 916, 1830, 2744, 3658?\nAnswer: 4572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -65?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1884, 3759, 5636, 7515, 9396, 11279?\n\"Answer: d**2 + 1872*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.63 + -0.3. What is y rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**11)\/v)\/v*v)\/(v*v**9*v) assuming v is positive.\nAnswer: v**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3 - 4)*(-2*h**4 + 0*h**2 + 0*h**2) + h**4 - 50*h**4 + 6*h**4 to t*h**3 + m*h + l*h**2 + x*h**4 + p and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126)\/(sqrt(54)\/sqrt(3)))\/(-5*(sqrt(9) + sqrt(27)\/sqrt(3)) - (sqrt(9) - sqrt(54)\/(sqrt(6) - (sqrt(6) - sqrt(18)\/sqrt(3))) - sqrt(9))).\nAnswer: -sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 3*j - 5. What is the units digit of q(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27152 - 9\/(180\/(-340))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5*q - 220, -29 = -q + 4*r - 8*r. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 6*o**4 + 2374*o**3 + 23*o**2 - 2374*o**3 + 47*o. What is the derivative of i(u) wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 4. Let n be (-2 - (-6 + 2)) + f. Let o = n + 9. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 115*l**3 + 755*l**2 - 1180*l + 410. Let y(z) = -39*z**3 - 252*z**2 + 394*z - 137. Let m(c) = 3*r(c) + 10*y(c). Find t such that m(t) = 0.\nAnswer: -7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.04 + 0. Let m = -0.14 - -0.16. Let c = m + p. Round c to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11326 >= 11325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 2 + 12*h**3 - 10 + 2*h**3 - 130*h.\nAnswer: 14*h**3 - 130*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 + -0.2. Let v = 28 + -24. Let n = -1 + 4. What is the biggest value in x, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-66)\/(-605))\/((-592)\/(-374440))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + s + 2*s - s)*(-1740*s - 162*s - 3162726*s**2 + 3162719*s**2) to d*s**2 + w + m*s**3 + n*s and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of z**4\/4 + 7*z**3\/3 + 2*z**2 + 3*z - 2. Suppose -5*q - 27 = 2*t, q + 1 = t - 10. Give o(q).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -270167661.000063 - -270167804. Let t = f - 143. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 99 - 256*b**2 - 98*b**2 - 99. Let y(t) = 15*t**2. Calculate y(p(o)).\nAnswer: 1879740*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, a: 1, h: 7, o: 10}. What is prob of picking 1 y and 1 q?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/8  (b) -134  (c) -1  (d) -0.5  (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -23*j**2 + 8846*j - 35068. Give y(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 192537 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -126 - 156225?\nAnswer: -156353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - h - 4 = 0. Let t(z) = 2*z**3 - z**2 + z + 1. What is t(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31304471.\nAnswer: 11, 1163, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -149 times -794\nAnswer: 118306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -455275.264 to the nearest 100.\nAnswer: -455300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/17 + -21\/68. Sort 4\/7, v, -1 in ascending order.\nAnswer: -1, v, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -38*t**2 + 21*t + 16. Let y(a) = -39*a**2 + 21*a + 12. Give -3*j(h) + 4*y(h).\nAnswer: -42*h**2 + 21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 6*p + 5971. Is i(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1153314 and 1020?\nAnswer: 11533140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4848 and 672.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1846547 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*d = -820 - 1020 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -27*n**4\/8 - 73*n**3\/6 - 63*n**2. What is the first derivative of k(j) wrt j?\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 6. Let v = 293\/10 + -67\/15. Calculate the common denominator of v and 4\/((-8)\/79) - b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20116 divided by 1?\nAnswer: -20116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*(a\/(a*a\/(a*a**(2\/5))*a))\/a)\/a)\/(((a*a**(-2))\/a)\/a))\/(a**(2\/5)*a*a**(-2\/7)\/a) assuming a is positive.\nAnswer: a**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/96417 and -79\/192834.\nAnswer: 192834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + -3*1*sqrt(85))*-2)\/((sqrt(1280) - sqrt(1280)*2 - sqrt(1280) - sqrt(1280))\/sqrt(4)) + -2.\nAnswer: -2 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -40 - 13\/3*p**6 - 47\/2*p**2 + 0*p + 0*p**5 + 0*p**3 + 0*p**4. Find the second derivative of d(h) wrt h.\nAnswer: -520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3325494 + 0.4\nAnswer: -3325493.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (4 + sqrt(72))**2) + 3.\nAnswer: -85 - 47*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3537 + 5*o**3 - 3537)*(4 - 2 + 3).\nAnswer: 25*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4345 = -222*z - 64*z - 109*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of l**4\/8 - 5*l**3\/3 + 2*l**2. Does 23 divide s(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*h + 59*h + 476 = 0. What is the highest common divisor of 10727 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l\/(l*((l*l\/(l**(2\/11)*l)*l)\/l)\/l)*l)\/l*l)\/(l\/(l\/l**(-27)*l)*l)*(l*l*l**(8\/9)*l*l*l)\/l*l**(-2\/27) assuming l is positive.\nAnswer: l**(10394\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1228044 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - 3. Let i(t) = -7*t + 1. Is i(c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 31.4 in -1224, 2, 1, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 13  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 293 - 594. Let d = -192 - m. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 6\/35, -0.4, -1, -2, 2\/89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 50.907 to zero dps.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 265, 4, 3, -2 in increasing order.\nAnswer: -2, 3, 4, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3142 - -3147. Let y = 2\/5 + 1\/10. What is the fourth biggest value in 0.9, g, -6\/5, y?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -82891 and -3628155.\nAnswer: -3711046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 46*z**3 - 5*z - 1. Does 16 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*q + 122 = g - 116*q - 54, 2*g - 4*q = g + 234 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x*x**(1\/10)*x))\/(x\/x**(-2\/9))*(x*x\/x**(2\/11)*x*x)\/x**9)**(4\/5))**(-2\/51) assuming x is positive.\nAnswer: x**(1748\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 559211024?\nAnswer: 2, 397, 88037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + a + 2 + (-a + 3*a + 0*a)*(-1 + 1 + 2) - a - a + a - 835 + 835 - 50*a)*(-14*a**2 - 105*a + 105*a).\nAnswer: 644*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-16)\/12)\/((-1)\/168). Suppose -n = 15*g - 7*g. Let m = 40 + g. Calculate the smallest common multiple of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {h: 2, s: 3, w: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 208, 222, 258, 328, 444, 618, 862?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ncii when four letters picked without replacement from {p: 1, n: 1, i: 2, c: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 o, and 1 n when three letters picked without replacement from sfbno.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -101001112120 (base 3) in base 4?\nAnswer: -300111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37471849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4327, -1533, 1259, 4049, 6837?\nAnswer: 9623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/2, 648, 30\/29, -1\/4?\nAnswer: 648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -558274 times 0.06\nAnswer: -33496.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -13271*c**4 + 24*c**2 + 12*c - 16085. Let o(v) = 5307*v**4 - 10*v**2 - 5*v + 6434. Let k(w) = 12*o(w) + 5*s(w). What is the derivative of k(i) wrt i?\nAnswer: -10684*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1676 - -1680.1238. What is w rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000425690696 to 7 dps.\nAnswer: 0.0004257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -45, -23, 3, -18, 1.\nAnswer: -45, -23, -18, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 18*z**2 - 9*z - 15. Let k be n(-5). Let a = k + -481. Let x(c) be the first derivative of 8*c**3\/3 + c + 2. What is x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2136.193ns?\nAnswer: 0.000002136193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/17, 0, 7, -0.02, 5\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2. Let t(l) be the second derivative of -l**4\/2 - 6*l. Determine t(i(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8 and -226279.\nAnswer: 1810232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5032 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154201292 is divided by 136.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-28243)\/(-244))\/((-2)\/(-8)). Suppose 0 = 7*n + d - 8576. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/9)\/(540\/(-18954)*9)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1927*h - 36081 = 4386 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*k*l**3*q - 2*k*l**2*q**3 - 6*k - 3*l**3*q**3 - 5*l**2*q**2 wrt k?\nAnswer: -6*l**3*q - 2*l**2*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 101?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 4280*i - 4285.\nAnswer: 5*(i - 857)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -943*o + 660*o - 1023*o.\nAnswer: -1306*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 159 and 175801?\nAnswer: 527403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2*c + 18, -2*c - c + 28 = -4*j. Let s(u) = -u**2 + 7*u + 6. Determine s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m**3 - 11*m**2 + 9*m + 2. Let z(g) = -3*g**3 - 10*g**2 + 8*g + 3. Let x(v) = 2*q(v) - 3*z(v). What is x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 37\/5 of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 - 32*c**2 + 107*c - 1308. Let i be z(30). Solve i*u - 15 = 107*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/2*16\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/4)\/(2\/(-8)). Let v = 5 + 5. Solve 2*h - l*n = -v, -3*h - 5 = -2*h + 3*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + (-18588)\/28 - 9\/63. Let w = z + 688. Is 246\/11 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -18*i**3 + 51*i**3 - 29*i**3 - 4 + 0*i + 3*i. Let w(r) = -11*r**3 - 8*r + 12. What is 8*h(u) + 3*w(u)?\nAnswer: -u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 59 - 3*a - 61 + 11*a in the form g + s*a and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*q = 13*q + 5*q + 8*q + 3016 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a + 211*a**2 - 349*a**2 + 137*a**2.\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 426712 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 1 - 17 = -4*r, 0 = -v + r - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3558116 divided by 4?\nAnswer: -889529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30 + 39. What is the greatest common divisor of 207 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34423 is divided by 316?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - 3*y - 7 + 4, -34 = 10*w + 2*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -49*m + 71. Suppose -9*u + 28 = 190. Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -236*a**3 - 5*a**2 - 5*a. Let o(t) = 118*t**3 + 2*t**2 + 2*t. What is -2*d(k) - 5*o(k)?\nAnswer: -118*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.7  (b) 169704  (c) 3  (d) 3\/2  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*x**2 + 146*x**2 + 191*x**2 + 238*x**2.\nAnswer: 535*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 1220125.\nAnswer: -244025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 66, 0.1, 3\/8, 1\/3, -2\/19111 in ascending order.\nAnswer: -2\/19111, 0.1, 1\/3, 3\/8, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n - 10. Let t be i(-5). Solve -4*k + 2*k + 2*p = 16, 5*k = -t*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.04 and -1940.\nAnswer: -1940.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 1454410?\nAnswer: -1\/1454410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42125400 and 2475.\nAnswer: 463379400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1223105, 2446213, 3669321, 4892429, 6115537, 7338645?\n\"Answer: 1223108*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 51540 and 9122580.\nAnswer: 9122580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-528)\/22*1\/2. What is the tens digit of (636 - -1)\/((18\/q)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 969*j = 204*j - 10710 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (130*x**4 + 14*x**3 + 7*x**3 - 18*x**3)*(-1 + 0 - 2)*(-6*x + 3*x + x).\nAnswer: 780*x**5 + 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -311 + 308 + (-1 - -14) + (0 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-291)\/12 + 1\/4. Let t be (-2 - -7)*(-2)\/(-5). Calculate the smallest common multiple of 10 and -4 + 6 - a\/t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 6189850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -833, -2650, -5695, -9962, -15445?\n\"Answer: t**3 - 620*t**2 + 36*t - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 325*o**4 + 2845*o**3 + 3990*o**2 = 0. What is o?\nAnswer: -7, -114\/65, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(76)*2 - sqrt(76)) + sqrt(76) - (5*sqrt(76) - sqrt(76))*6)\/((sqrt(400) - sqrt(400)*2) + (sqrt(64) - sqrt(64)*5) + sqrt(64)).\nAnswer: 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -4*o, -56*q + 59*q = 2*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*o**4*x**2 - 8*o**4 - 59*o**2 + o*x**2 - 5*o - 263*x**2 wrt o?\nAnswer: 36*o**2*x**2 - 96*o**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 1002200220220?\nAnswer: 1002200220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 108 and 16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 229 + -227.776. Let r = s + -0.224. What is the closest to 0.09 in 2\/13, r, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y - 4*r + 2, -y + 4*r + 56 = 55 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 + 1807673*o**2\/3 - 816921322568*o\/3 + 816919514896\/3.\nAnswer: -(o - 903836)**2*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 193019382 and 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/7 - -15\/28. Let t(a) = -a + 1. Let q be t(1). Factor -s + q*p + 1\/4*p**2.\nAnswer: (p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u + 2. Let k be n(0). Suppose 4*i = q + 22, i + 10*q - 14*q - 13 = 0. Solve g - k*g + i = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 329\/45 - 85\/9. Let z = -9\/5 - g. Let u(w) = -14*w - 165. Let f be u(-12). Which is the closest to z?  (a) f  (b) 6  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 9 - 3 = 0. Suppose -n*u = 4, 2*u = 2*w + 3*u + 48002. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 2. Let i be h(-4). Suppose i*v + 0*v - 4 = 0. Suppose k + v = 6. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43 (base 8) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b - -268b0c?\nAnswer: 268b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 236 is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1998*i**2 + 490*i**2 + 492*i**2 + 473*i**2 + 490*i**2.\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from zvgggzzvvgzzvzgvzgg?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -163*n**3 + 2*n**2 + n - 4. Let d be c(3). Let b = 35159\/8 + d. Let g = -1075\/154 + 43\/14. Calculate the common denominator of b and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) -0.1  (c) 1  (d) -104344  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 8) to base 13\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 31624 and 3484?\nAnswer: 411112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 253 divide 122199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-6) + (-2)\/6. Suppose 15 = 5*l, -l + 1 = v - r*l. Is (-106)\/(-4)*(-4)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of 19*n**5\/120 - n**4\/6 + 2*n**3\/3 + 3*n**2. Let y(j) be the first derivative of u(j). Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-81)\/(-1566))\/(3\/(-4))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2401, -0.076, 2\/9 in descending order.\nAnswer: 2\/9, -1\/2401, -0.076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of c**6\/20 - 4*c**5\/15 + c**4\/3 + 3*c**2. Suppose d(n) = 0. Calculate n.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2. Let c(k) = 8*k**2 - 8*k. Determine c(b(f)).\nAnswer: 8*f**4 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -59.51 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 53 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -191 = d + 197 - 404 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = d. Let n(l) = l + 165. Let s be n(d). Let v be 30\/4*(3 + -1). What is the greatest common divisor of s and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 - 21. Let o be -3 + 13 - 198\/33. Solve -o*n - 7 = -g, n + 5*g + 14 = -i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000 + -1000111?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2143113121 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -d**4\/24 + 12*d**2 + 15. Let m(a) be the second derivative of r(a). Let c(l) = 19*l. Determine m(c(y)).\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 392, 401, 416, 437, 464, 497, 536?\n\"Answer: 3*u**2 + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*x - 14 = 0, 4*t - x = -5*x + 16. Suppose -33*h = 5*y - 32*h + t, 4*h = y - 8. Solve y = -4*c + 2*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v + 1. Let r(x) = -2*x - 2. Let l(m) = 6*j(m) + 5*r(m). Suppose 0 = 3*f - 6 + 18. Let d be (12\/27*6)\/(f\/(-6)). What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(418)\/(sqrt(11)*-2))\/(sqrt(4)\/sqrt(2)*-4).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -31. Suppose 0 = 2*v + 2 - 6. Suppose 4*o - 2*a = 56, 0 = 3*o - 3*a + v*a - 44. What is the smallest common multiple of q and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*d + 77 - 833 = 0. Let j(a) = -7*a - 4. Calculate j(d).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -r**8\/112 - r**7\/14 - r**6\/5 - r**5\/5 + r**2 + 94*r. Factor m(a).\nAnswer: -3*a**2*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 167  (b) 3\/7  (c) -2  (d) -1363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -98  (b) 93  (c) 2  (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*5\/(-40)*(0 - -2). Let j be (-2)\/2*(n - -3) + -8. Let o = 1 - 0.7. Put -0.4, o, j, -1\/3 in descending order.\nAnswer: o, -1\/3, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -l**5 + 525*l**4 - 74186*l**3 + 2808552*l**2 - 33988608*l + 57328128 = 0.\nAnswer: 2, 24, 156, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - (-117144)\/(-6888))\/((-1)\/(-7)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 4\/245, 23, 1\/14, -5, -0.21?\nAnswer: 4\/245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/24)\/(2\/(-4)). Let y be (-2 - -4) + 0\/1. What is the nearest to j in 0, y, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 13*f - 20. Let h(i) = i**3 + 10*i**2 + 7*i - 13. Let v be h(-9). What is the units digit of g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.028839 tonnes to nanograms.\nAnswer: 7028839000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185*b**2 + 14953*b**2 + 12339*b**2.\nAnswer: 27477*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 + 5*b - 3. Let d = 8 + -5. Let f(p) = -5 - 3*p**2 + 9*p - 3 + 3. Calculate d*f(z) - 5*o(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-282)\/4*9\/(-12)*1408\/1584\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -151\/70574 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 74\/333 - 2\/(-9)*2357. Suppose 246 = 7*i - k. Suppose n - 112 = i. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 130.21 micrograms?\nAnswer: 0.00000013021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 50 = -8*a. Calculate the remainder when 90 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85.03 - -0.97. Let y = 83.7 - p. Let f = y - -2.30086. What is f rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69590101 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r. Let p(d) = -62*d - 1. Determine z(p(s)).\nAnswer: -62*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v**2\/5 + 39*v\/5 + 66\/5 = 0. Calculate v.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**2 + 2*g + 8. Let h = 159 + -152. Is s(h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85609 - 82762 = -73*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/(-6))\/(-3)*2. Let v = x + 5. Solve h + v*h + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 22*l**2 + 20*l - 7. Let o be x(-21). Let d be (o\/2)\/((-2)\/2 - -2). Suppose 1 = d*k + 15. Let y(z) = -z**2 + 2*z + 2. What is y(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/4 - 4\/(-16). Suppose 5*w - 2*m - 22 = x, 5*w - 2*m - 10 = 3*m. Let o(t) = -4*t + w*t**3 + 6*t - t + t**2 + 1. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 281 - 96. Let n = k - 59. Let a(x) = -13*x**3 - 2*x - 1. Let p be a(-1). Calculate the greatest common divisor of p and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*c**2 + 3*c**2 - 7*c**2)*((-2 - 2 + 3)*(-1 + 1 - 2*c) - 513*c - 421*c - 85*c).\nAnswer: -14238*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 539193575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 15 - (-107 + 110) - -45.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24*t**2 + 119*t wrt t.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + t - 22 = -5, 5*p - 4*t = -65 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 59 = 3*b. Calculate the highest common divisor of b and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 169*x**4 - 108*x?\nAnswer: 2028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.925*-58655.2.\nAnswer: -54256.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m + 15. Let s(h) = -9*h + 31. Let t(i) = -5*k(i) + 2*s(i). Let q be t(9). Suppose -q*b = -0*b + 900. Round b to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -115 + 119. Suppose i*q + 19 = z, -2*z + 25 = -5*q - 1. Factor 0 + 1\/2*b**2 - 1\/4*b**z - 1\/4*b.\nAnswer: -b*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1961039219 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 10*m**2 - 8*m - 24. Suppose 64*y - 65*y + 11 = 0. Does 9 divide i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*n + 79*n - 11*n**3 + 61*n + 73*n - 292*n.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 + 333 + 3*v**2 - 46*v - 348.\nAnswer: 2*v**2 - 46*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/((n\/n**5)\/n))\/n**2*(n**(-1))**33 assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 9  (b) 1\/3  (c) -2\/7  (d) -11  (e) 0.3  (f) 0.1  (g) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/807 and 131\/47658.\nAnswer: 12820002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -110999, -111000, -111001?\n\"Answer: -z - 110998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8436, 17761, 27086, 36411, 45736, 55061?\n\"Answer: 9325*x - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1622, 1636, 1674, 1748, 1870, 2052, 2306, 2644?\n\"Answer: 2*w**3 + 1620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -2 - 14. Suppose -d = 3*h + 2. Which is the second smallest value?  (a) h  (b) -0.5  (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 560 and 16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - 0. Let f = 1 + k. Sort -4, 1, f.\nAnswer: f, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*b - 5*m - 1130, 0 = 5*b - 4*m - 1131. Let j = -14822 + 14860. What is the remainder when b is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 24910.\nAnswer: 24911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*h + 0*h**3 - 4*h**3 - 5*h**3 - 154*h + 77*h.\nAnswer: -9*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32 + 60. Let r = -23 + q. Let o = 2.4 + -2. Sort r, -3\/8, o.\nAnswer: -3\/8, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/(-3))\/(18\/2133)*2. Let f = -2 + r. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 134775 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 186 = 46. Suppose 91 + 29 = 6*a. Calculate the highest common divisor of a and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 41\/2 of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 3 = 3*a - 9, 3*s - 1 = 5*a. What is the fourth smallest value in 5, 3\/2, -1\/2, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13.7 - 0.3. Let m = -14.0000012 - y. What is m rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-2\/3))\/z*z)**(-5)\/(z**(-4)\/(z\/(z\/(z*(z**(-5)*z)\/z*z*z))))*(z**(-1\/4)\/((z\/(z\/(z\/z**(3\/4))*z))\/z))\/(z**0)**(-2\/87) assuming z is positive.\nAnswer: z**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 1\/4  (b) 1  (c) 2  (d) 4\/7  (e) 9\/11  (f) 117\/8  (g) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rag when three letters picked without replacement from grrargr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 6*i**2 + 10*i + 9. Let q be x(4). What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2 + (1 + sqrt(108) + sqrt(108))**2 + -2)*-4.\nAnswer: -1713 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -608*o + 613*o - 380 = 0. What is the greatest common factor of o and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3094 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: Let q(n) = n**2 - 57*n - 1369. What is q(75)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*a + 2*x, -4*a - 2*x - 36 = 2*x. Let n(u) = u**3 + 5*u**2 + 3*u - 3. Let b be n(a). Let h be b*750*-1*-4. Round h to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1131241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-171*u**3 + 549*u**3 - 15*u**3)*(1 + 3 - 1).\nAnswer: 1089*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 789997*b + 3. Let w be g(5). Suppose -3159994 = 4*o - m + 3*m, 5*o + 4*m + w = 0. Round o to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 47*k**2. Let c(s) be the second derivative of -s**3\/6 + 84*s. Give l(c(z)).\nAnswer: 47*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 673 = -s, 4*s = -s - 25. Let w(k) = 12*k + 7. What is the remainder when u is divided by w(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*j + 56 - 68 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqqs when four letters picked without replacement from rqtsrrrqttsrs.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -791.726253 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 + -1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 711 + -711.2. Which is the nearest to -0.2?  (a) 0.1  (b) 18  (c) 0.2  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m + 165. Let r be b(-40). What is the second smallest value in -5, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -52*a + 19. Let f(j) = 59*j - 19. Let k(c) = -8*b(c) - 7*f(c). What is k(-13)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -228*j + 366. Give b(-3).\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30394?\nAnswer: 2, 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1550 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 152819\/374208 - -6\/1949. What is the common denominator of -29\/24 and c?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 119 - 97. Suppose -8*t + 74 = -w. Is -1546*(-44)\/t - 1\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 1011210?\nAnswer: -1011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**3 - v**2 + v**2 + 0*v**2 - 5*v**2.\nAnswer: -2*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 17*f**2 + 17. Let n(g) = 17*g**2 + 17. Let o(t) = -6*d(t) + 7*n(t). Differentiate o(h) wrt h.\nAnswer: 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1*(5 + -2*(sqrt(7) + 0)**2) + 5*((-3 + (1*sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252)))*-2)**2.\nAnswer: -1440*sqrt(7) + 20333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1052*m = -753*m + 19136 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/2))**(1\/4)\/(y**(-2\/5)\/y)**(-16\/9) assuming y is positive.\nAnswer: y**(-851\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/39 - -25\/273. Let q be 2\/(-5) + (-52)\/(-30). Let h = 0.1 - 0.2. Which is the closest to h?  (a) q  (b) z  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.3  (b) 1\/38  (c) 3  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3 + 41814*y**2 + 437144460*y + 874121672.\nAnswer: (y + 2)*(y + 20906)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*m + 558 - 1790 = -123*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4497 times -0.3\nAnswer: 1349.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 0*n. Suppose n = w + 3*w. Suppose w = k + 3*k - 44. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-20)\/1316)*(506\/154)\/23*-2?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3202 - 1976. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1506 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 3 - 56)*(-3 - 1 + 1)*(-j + 3*j + 2*j) in the form p*j + a and give p.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 45 = 6*u. Solve -3*g - 3*l = u, -3*l + 2 = g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 211336 + -211314. Let o(u) = -4*u + 12. Let j(p) = 5*p - 13. Let m(i) = 3*j(i) + 4*o(i). Calculate the lowest common multiple of n and m(4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 551286 divided by -6723.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16)\/sqrt(2))\/sqrt(4) - (sqrt(2) + -1)*-3) + -5.\nAnswer: -8 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3318, 1, 129 in descending order.\nAnswer: 3318, 129, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 64\/4*2\/8. Suppose 5*g - 2*m = y*g + 18, m + 33 = 2*g. What is the greatest common factor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k + 87. Determine a(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**2 + 0*h**2 + 0*h**2 + ((-h - 3*h + 2*h)*(0 + 0 - 5) + 2*h - 3 + 3)*(3*h + 3*h + 12*h).\nAnswer: 218*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*(c\/(c**(-9)\/c*c))\/c)\/c**(-23))\/((c**(-3\/8)\/c)\/c*c**(-19)) assuming c is positive.\nAnswer: c**(435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91)*-2)\/sqrt(7) - (sqrt(1053) - (sqrt(1053) + 2) - sqrt(1053))) + 2*(-5 + -4*sqrt(13)).\nAnswer: -8 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 260, -73588, -1 in increasing order.\nAnswer: -73588, -1, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (11 + 2 - 26)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 931500651?\nAnswer: 3, 310500217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -1525*p + 180200. What is d(118)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -d + 2. Suppose d*p + 69 = 6*p + 3*y, -p = -y - 15. Suppose 2*l - 77 = -p. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 7*y**2 + 4*y + 4. Let k be j(6). Let w be 582\/(-8) - (-2)\/k. Let i = w - 237. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 6*h + 5. Let c be l(-6). Suppose c - 33 = -4*o. Suppose 3*q - o = 131. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*w - 4 = -17*w - i, 0 = -6*w + w - 2*i + 32 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 383 and 379 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -478.441 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 285*l**2 - 13*l - 43. List the prime factors of t(-4).\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - 4*a + 4. Let j be l(5). Suppose 3*x + j = z, 5*z - 5*x + 2*x + 3 = 0. Sort -2, -4, z in decreasing order.\nAnswer: -2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 414555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -356 - -364. Suppose 53*c - 51*c = -v. Let z(n) = n**3 + 4*n**2 - 2*n. Determine z(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 16955, 16957, 16959, 16961, 16963, 16965?\n\"Answer: 2*i + 16953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8398 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r - 10. Let k be t(-11). Let w be k - (-3 + (0 - 0)). Is 3*w\/(-4) + 18 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -16*s**2 + 65*s + 55. Let d(u) = -3*u**2 + 13*u + 11. Let w(m) = -11*d(m) + 2*f(m). Let q be w(12). Let t = -14 - q. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.873 + 6.9. Let k = r + 0.073. Let b = 0.1 - -2.9. What is the nearest to -2\/7 in b, k, -1.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.5 - 3. Let o = 41.1 - 41. Let g = 11879 - 11883. What is the nearest to -1\/3 in o, g, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -4605*s**3 + 3*s**2 - 31*s + 10. Let f be d(10). Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - 166181811928.6.\nAnswer: -166181811928.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5 - 5) + -54 - -5) + -11.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*n - 26*n = -128*n + 1458 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35*f**6 + 438*f**5 - 36*f**6 + 96 - 201 + 2*f**2 - 148 - 1659*f**5 wrt f.\nAnswer: -120*f**3 - 73260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 3:41 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -15176, -30335, -45490, -60641, -75788?\n\"Answer: 2*q**2 - 15165*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**3 - 43*c**2 - 111*c + 15. Determine p(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/36*-10*8\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 5*n**2 + 5*n - 1. Let f be a(-6). Suppose d - f = -0*d. Calculate the highest common factor of d and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of 0*p**3 + 0*p**5 + 0*p**2 + 1\/14*p**7 + 0 + 2*p - 1\/12*p**4 + 0*p**6. Find the third derivative of t(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 576 a factor of 438581952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 257074108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (191 - 36*f**2 - 191 - f**4)*(5 + 1 - 5 + (-2 + 3 - 2)*(-5 + 1 + 2))*(0*f + 4*f - 2*f).\nAnswer: -6*f**5 - 216*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -2*i**3\/21 - 5024*i**2\/21 - 455000*i\/3 - 12500000\/7 = 0.\nAnswer: -1250, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.4 + -1.3. Let y = 2.9 + d. Let c = 15\/2 - 7. What is the smallest value in c, 1, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26676 and 106938.\nAnswer: 12190932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*c**3 - 21*c**3 - 3*c - c**4 + 2*c**5 - 3 + 45*c**3 wrt c.\nAnswer: 40*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 12 = -4. Solve c = -c + q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/7)\/((-11448)\/22260) - (-382)\/(-9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6402 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -40*t**2 + 4482*t - 221. Let k be p(112). Factor -3 - 9\/4*q**2 + 5*q + 1\/4*q**k.\nAnswer: (q - 6)*(q - 2)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12129753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -474340.951 and -0.94208?\nAnswer: 474340.00892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**10\/(m*m**(-17))*((((m**17*m)\/m)\/m)\/m)\/((m\/(m*m**16))\/m*m) assuming m is positive.\nAnswer: m**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i + 1362129*i**2 - 1362129*i**2 + 18*i**3. Let h(a) = -72*a**3 - 9*a. Determine -2*h(v) - 9*y(v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4166 - -1.4166. Let v(t) = 0*t**3 + 0*t**3 - 4 + t**3 + 9*t**2. Let s be v(-9). Which is the nearest to -2\/3?  (a) -0.1  (b) s  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -1144703*w + 545. Let z be h(15). Round z to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 9, -706, 0 in increasing order.\nAnswer: -706, 0, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 185616407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -100641 or -100542?\nAnswer: -100641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 475819 is divided by 2372?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**3 - 715*z + 4*z**3 + 718*z - 50*z**2 - 2 as y*z + h*z**3 + j + g*z**2 and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u - 15. Let c be q(6). Let o = 11 + c. Let -3*r**o - 3*r**2 + 6*r**5 + 3*r**2 + 9*r**4 = 0. What is r?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 10. Suppose 2*b - b = n. Suppose 0 = -3*f + 6*o - 3*o + b, 4*f - 20 = 2*o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 + 0)*(-184*q + 128*q - 168*q) in the form b + j*q and give j.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, r: 9, q: 1, p: 2, k: 4, w: 2}. What is prob of sequence qw?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/3*(-68604)\/28585.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence itf when three letters picked without replacement from fiffftfttttttfttt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 642.9617?\nAnswer: 192.88851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 98 - 158. Let z = -208 - b. Is (z\/(-12))\/(2\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15620432 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21*v**4 - 98*v**4 - 86*v**4 + 13*v**4 - 222 with respect to v.\nAnswer: -768*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 398*n - 3980. Let w be r(10). Suppose 2 = 3*f - f. Solve w = 2*j + 1 + f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of 0*d - 2\/15*d**5 - 1\/120*d**6 - 19*d**2 - 3\/2*d**3 + 0 + 7\/24*d**4. What is the units digit of a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.215 + 0.015. Round o to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1112312332 (base 4) to base 10.\nAnswer: 355774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -737 = -7*n + 691. Let u = -12 - n. What is the remainder when 10 is divided by (9\/(-4))\/(81\/u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, p: 3}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 320314 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 4*q + 5*j, -607*q - 32 = -602*q - 4*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) - 5*(sqrt(684) + 1)**2) + 5*(sqrt(684) + 1)**2 - (-5 + (-5*1*sqrt(684))**2).\nAnswer: -17095 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/12099 and 31\/5886?\nAnswer: 217782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 230641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*i = -3219 + 3331. Let w(c) = 2*c**2 + 13*c - 5. Let s(u) = -u**2 - 6*u + 2. Let l(h) = -5*s(h) - 2*w(h). Let d(z) = z**2 + 7*z. Give i*d(v) - 7*l(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 9:41 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 18ab5 - 27?\nAnswer: 18a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 + 1. Let n be a(-1). Suppose n = p - 0*p - 11. Calculate the greatest common divisor of 44 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eraaeerrreaeae. Give prob of sequence ar.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2376?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 3*o + 30, c = 7*o - 2*o - 20. Solve 5*f + 15 + 4 = -2*v, -5*v + c*f + 40 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 159*a - 4515. Determine x(28).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*l + 20 + 48 + 42 - 110.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*z + 0*z + 532*z**2 - 716*z**2 - 508*z**5 wrt z.\nAnswer: -30480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -0.3, 2\/7, 7\/6, 197, -0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 + -20. Is (-3 - -1 - t) + 3204\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/((-36)\/(-160))*(-1095)\/2. What is q rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(39\/(-65) - (-170)\/75)*60\/198?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.21 - -1.14. Let k = -0.15 - j. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.073 + -14.031. Let i = -0.302 + 0.3. Let t = i - p. Round t to three dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(-1*sqrt(20)\/sqrt(5)) - (sqrt(17)*-2 + 3 + -2*sqrt(68)))**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1368277*c**2 + 946100*c?\nAnswer: -2736554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 11:08 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -401*l - 18 = -402*l + 3*w, -l = -2*w - 16. Calculate the least common multiple of l and 500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/5 + 19026*g\/5.\nAnswer: 2*g*(g + 9513)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p - 6*p + 3*p + (2*p + 3 - 3)*(0 + 3 - 2) + 3*p - 2*p - 2*p + 59 - 25 - 49*p - 36.\nAnswer: -51*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3717766.\nAnswer: 2, 13, 23, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.4 - 5.40000058. Round o to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/7 - 2402*k\/7 + 54188\/7.\nAnswer: 2*(k - 1178)*(k - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (62\/36 + (-94)\/423)*6. Sort v, 4, -2 in decreasing order.\nAnswer: v, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k + 3. Calculate the remainder when y(-4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -391481*i**2*m**3 - 3*i**2*m + i**2 + 113*i*m - 39*i + 74*m**5 - 24*m wrt m?\nAnswer: -2348886*i**2*m + 1480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5137991, 5137990, 5137989, 5137988, 5137987?\n\"Answer: -n + 5137992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -3*j + 9. Let g be q(-4). Let b = g - 21. Let c(f) = 5*f**2 - 7*f + 7. Let s(y) = 14*y**2 - 20*y + 21. Let n(h) = -17*c(h) + 6*s(h). Determine n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 + 2 + 12\/(-3). Let c be (-8)\/(-10)*(-60)\/(-8) + w. Let a = 4 - c. Let r(k) = k. Determine r(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 0, -22, -68, -150, -280, -470, -732, -1078?\n\"Answer: -2*m**3 - 8*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-2))\/1*-6. Let l = -2853\/4 - -20203\/28. Is l at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4*d**3 + 3*d**2 - 3*d**2 + 11*d**4 + 9*d - 15*d**4. Let j(u) = -u**3 + u. Let l(g) = 4*j(g) - m(g). Find the second derivative of l(w) wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/5)*t)**16 assuming t is positive.\nAnswer: t**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14851, 14852, 14853?\nAnswer: 14854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1031, -1089, -1195, -1349, -1551?\n\"Answer: -24*y**2 + 14*y - 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73748084.\nAnswer: 2, 18437021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13770, -13924, -14078, -14232, -14386, -14540?\nAnswer: -14694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in 1, 2, 27, 10, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 113, 122, 131, 140?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.53 and 4.446322 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25461, -101464, -228011, -405102, -632737, -910916?\nAnswer: -1239639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o**3 - 62*o**2 - 41*o + 143. Calculate b(20).\nAnswer: -1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2521949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + -53. Let w = m + 58. Solve 0*r - w*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 7*z - 15 = 0. Suppose 3*t + 2*y - 39 = -y, t - 3*y + z = 0. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = z, -23*t + 18*t = 2*z - 95. What is the greatest common divisor of 189 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + 66?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -10*c**4 - 12*c**3 + 4*c**2 + 10*c + 6. Let s(z) = -41*z**4 - 48*z**3 + 16*z**2 + 39*z + 25. Let i(g) = -9*o(g) + 2*s(g). Factor i(m).\nAnswer: 4*(m - 1)*(m + 1)**2*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 6*f**2 - 10*f + 57. Let x be v(6). Let n be (-105)\/(-108) + (-8)\/36. Which is the nearest to n?  (a) 4  (b) 6\/5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, j: 3}. What is prob of sequence yjj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - 9*v - 21. Determine c(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -526 by 2.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/4 + 17*w**2\/4 + 37*w\/4 + 19\/4.\nAnswer: -(w - 19)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5 = 4*f, -3*i = -3*f - 6*i - 30. Let n = 4 - 1. Suppose 3*w - 1 = -4*l, n*w + l = 1 - 12. Do f and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*h**3 - 10*h**3 + 91*h**3.\nAnswer: 119*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3096 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i + 1. Suppose 0 = 3*h + 5*c - 1 - 2, -c - 13 = 4*h. What is the units digit of n(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27849.8 micrometers to millimeters.\nAnswer: 27.8498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 9*f - 4*y - 9094, -9085 = -5*f - 5*y. Is f a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 b, and 2 e when four letters picked without replacement from hhebheuvhbbhbehbb.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**3 + 3*f**3 - 10*f**3 + (-3 - 2 + 4)*(0*f**3 + 4*f**3 - 3*f**3).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000903604 rounded to 6 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53156*a**3*i**2*j**3 - 3*a**3*i**2*j - 3959*a**3*j**2 - 6*a**2*j**2 - a*i**2*j + i**2*j wrt j?\nAnswer: -318936*a**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -208, 1, 0 in ascending order.\nAnswer: -208, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*m - 3*k = 244*m + k + 114, -2*m - 31*k - 986 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 11000001100000111?\nAnswer: -11000001100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t**2 - 512*t + 14329. What is p(31)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 79099618 + -6?\nAnswer: 79099612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 24 + 51 - q**3 - 15*q**4 - 2*q - 25 in the form v*q**4 + m*q**3 + d*q + g + r*q**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - 7.3. Let h = o - -6.954. Let t = -0.02 - h. Round t to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 832 + -836. Sort -5, 69, m in ascending order.\nAnswer: -5, m, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*(d\/(d\/(d\/(d**(-2)\/d*d))*d)*d)\/d*d*d**(-22))\/(d\/d**(12\/5)*(d*(d**(-35)*d)\/d)\/d*d*d))**(2\/7) assuming d is positive.\nAnswer: d**(164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z - 7*z - 2*z**2 - 12*z.\nAnswer: -2*z**2 - 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**5\/2 + 5*s**4\/2 + 5*s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -827362*23\nAnswer: -19029326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6ca02 - 55?\nAnswer: -6ca57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 s when four letters picked without replacement from {a: 8, w: 5, s: 2}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -15. Let r = -0.69 + 0.42. Let w = r - 0.03. What is the third biggest value in w, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11285*w - 11285*w - 27*w**3.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001705501 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1552 - 1434.7. Let k = q - 116.797. Let u = k + -0.5. What is u rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r - 5. Let d(x) = x**2 + 8*x + 4. Let a be d(-8). Let h(k) = a - 2 + k - 2*k - 3. Give 5*h(m) - q(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3020320132 (base 4) in base 2?\nAnswer: -11001000111000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -24472.49789 rounded to zero dps?\nAnswer: -24472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -167  (c) 2\/3  (d) -2\/111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/5 + 13\/20. Suppose 6*l + 17*l = -23. Is y smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74534.\nAnswer: 2, 83, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5865974 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 3*h + (-1 + 0 - 1)*(3*h - 2*h + 2*h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -51, -45, -19, 33, 117, 239?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 71257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4021 and 107.\nAnswer: -430247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 8:43 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -50*n**3 - 32*n**2 + 153*n + 6. Let v be b(7). Round v to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 4. Suppose -n = -g + 2. Suppose 9 = 2*l - g. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218 = -6*m + 82. Let i be (-1 - -4) + m\/10. Suppose i*u - 516 = -36. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18004321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s - 17. Let c(m) be the third derivative of -m**4\/24 + 4*m**3\/3 - 51*m**2 - 2. Calculate -13*c(u) - 6*x(u).\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4 + 5*r**3 - 2*r**2.\nAnswer: -r**2*(r - 2)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 25126188 greater than 25126186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + sqrt(11)) + (sqrt(11) - sqrt(55)\/sqrt(5)*5).\nAnswer: -12 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/3)\/(6\/18). Sort j, -1, 3 in ascending order.\nAnswer: j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**2 - o**4 + 15*o - 15*o - 1 + 2*o**3 in the form c*o**3 + m*o**4 + f + q*o + t*o**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.18 * 0.4\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z = 8*z + 6042. Let g = 1716 - z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112110230 (base 4) in base 3?\nAnswer: 11122102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 9*h**2 - 15*h - 5. Let y be ((-30)\/12)\/(((-3)\/2)\/3). Let p be n(y). Find the third derivative of p*c**4 - c**2 - 1716 + 1716 wrt c.\nAnswer: 480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -16*(2 - (-33)\/(-12)). Suppose 2*j - 4*w - u = -2*j, 0 = -3*j - 5*w + 17. What are the prime factors of 6\/5*(j + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -5*z + 20, -3*u + z - 4 = u. Let g(s) = s**2 + s + 38. Is g(u) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 5024768.7 days?\nAnswer: 717824.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + 16*n - 15. Let g = -5463 + 5446. What is s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + 6. Suppose 2*l - c = -2*l. Let z be (l - 1)\/(0 - -1). Let h(x) = -7*x**3 + x**2 - 2*x + 1. Determine h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 7:06 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 116389185 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 3 - 1)*(-o - 2*o - 10*o) + o + 2*o - 4*o - 2*o + 2 - 2 + 0*o + 5*o - 2*o + 2*o + 0 + 0 to v + z*o and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -u**8\/1176 - 5*u**2\/2 - u. Let f(c) be the first derivative of m(c). Determine d, given that f(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -245243, -245245, -245247, -245249, -245251, -245253?\nAnswer: -245255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-2 + 8) - 3 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191*p + 197*p - 4576 = 100*p + 2048 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -146*w**5 - 2*w**3 + 2*w**2 - 17 wrt w.\nAnswer: -8760*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*m - 19*m - 40. Solve n + 3*n = m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 621621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-103 - -48 - -42) + (1 - 4 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6150548\/688 - 1\/(-4). Suppose -3*y = -n + 1431, 4*n - 9729 + 3997 = 4*y. Suppose 9*u = n - c. Round u to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 1:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 107 = -5*c, 2*h + h + 3*c = -174. Let s = 67 + h. Suppose 88 = s*z - 20. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*g = -24*g + 819080. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*w**3 + 63*w**3 - 183*w**3 - 806*w**3.\nAnswer: -933*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 1460*c**3 - 2*c**2 + 161*c - 156. What is h(1)?\nAnswer: 1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 640 = -d. Let n = -55 - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 310769316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -119 * -0.4.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*35\/30*((-2)\/(-9))\/(18018\/(-2106)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least as big as -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-2\/17)*y)\/y**6)\/(y**(-2\/3)*y)**38)**(-31\/3) assuming y is positive.\nAnswer: y**(28117\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wmfmxfwwfw. Give prob of sequence fw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 + 5*r + 4. Let f be w(5). Suppose s = 3*d - s + 11, -f*d - 23 = -s. Which is bigger: -8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/345 and -5\/57?\nAnswer: 6555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - (-189)\/18)*(-60)\/80.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1689*h**5 + 2422*h**2 wrt h?\nAnswer: -101340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10987.99988818 + 10988. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/3)\/(48\/(-180))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -4*b - 21, 0 = 53*l - 58*l + 2*b + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 4)*(g - 7*g + 0*g) - 18*g + 35*g - 44*g + 0*g + 0*g + 2*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 183 = 3*x, y + 46 = -4*x - 187. What is the nearest to 1 in x, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g + 35*g**4 - 36*g**4 + 34 - 3*g in the form s*g**3 + a + c*g**4 + p*g + w*g**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 - (5 + 33 + -25).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1370 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7987397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21792899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -5*y**3 + 3937940*y**2 - 370133225*y + 8697871230 = 0.\nAnswer: 47, 787494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 72906352475.4 + -4?\nAnswer: 72906352471.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 11) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*w - 14. Let i be (-24)\/26*(2 - 9\/w). Is i <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2235869543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2009 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26549398 is divided by 26549394.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5454392 to the power of 1\/2, to the nearest integer?\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11 + 1)\/2 + 4. Suppose -2*h - 3*h + 25 = -4*c, -h = -1. Sort c, z, -11 in descending order.\nAnswer: z, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + u - 5 = 6*u, -4*u = 3*j + 6. Suppose 35 = j*a - 11. Calculate the remainder when a is divided by 0*(-2)\/4 - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 387712 is divided by 379.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -9, -1 in decreasing order.\nAnswer: 5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 484 a factor of 7924761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/61 in -3\/7, 4, 2\/13, -50, 2\/17, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**8\/(d*d*d*d\/(d\/(d**(-4\/9)\/d*d)))*(d**(-2)*d)**(-7) assuming d is positive.\nAnswer: d**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*o = 2*a - 71*o + 73, -2*a - 3*o - 3 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*g = -4*l - 4, -4*g + 12 = -2*l. Let a(k) = 17*k**2 + 74. Let x be a(7). Suppose -r + 195 = m - l*r, x = 5*m + 2*r. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + u**2 + 17*u**3 + 36 + 8*u**3 - 68 - 94*u**3.\nAnswer: -69*u**3 + u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 0 + 0*h - 27*h - 10. Let v be i(-7). Suppose p - 742 + v = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/18 + 68\/(-18). Let c be (2 - 4 - -2) + -1. Suppose -l - 5*y - 12 = 3*l, 2*y + 8 = 0. Sort l, c, p in decreasing order.\nAnswer: l, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - 1 - -4 - 2. What is the third smallest value in 2\/7, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -5*b + 16, 4*y = 5*b - 4 - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, k: 1, v: 2, x: 1, r: 1, n: 1}. What is prob of sequence nvl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 - -101000?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 5457*a + 44. Is q(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 4 - (-46 + 28)) + 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -5\/2, -2, -4\/7, -24, 15, 51?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*10\/225*33\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b + 20 = -10. Let w(g) = -2*g - 2. Let v(x) = 2*x + 2. Calculate b*v(y) - 4*w(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 23*h = -6*h - 38, 0 = -4*j + 3*h - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 798058\/55 or 14511?\nAnswer: 14511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.843352ns to minutes.\nAnswer: 0.0000000003973892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 6\/(-26*(-2)\/(-32) - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 14228617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -5140*y + 1511156. Calculate p(294).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48, -40, -20, 18, 80, 172?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - (-4 + 2 + -1). Suppose -d*h - 12 = -3*h + 3*x, 4*x = 3*h - 16. Let l = 3 + h. Is l > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/((-20)\/500*-25). Which is the nearest to 0.05?  (a) -0.44  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 2 + 0 - 5)*(-1 + 34*p**4 - 28*p**4 + 46*p**4).\nAnswer: -52*p**5 - 156*p**4 + p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14652*t**2*u**2 - 1530*t*u**2 + 7*u**2 wrt t?\nAnswer: 29304*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cnm when three letters picked without replacement from mucnppuuyuuuyumyu?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*b = 0. Let u = -3 - b. What are the prime factors of 14 - (-3 + 8 + u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3982304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2335*v. Let b(r) be the third derivative of -r**4\/12 + 1828*r**2. Determine b(m(i)).\nAnswer: 4670*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252 = 227*j - 14*j + 174 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-15)\/(-20) + -1 + (-79362)\/(-8). Suppose 0 = -n - 15*n + k. List the prime factors of n.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3116.8 - 3118. Which is the third smallest value?  (a) -2  (b) u  (c) 0.3  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**4\/3 - 211*k**3\/3 - 11816*k**2\/3 - 81536*k\/3 = 0. What is k?\nAnswer: -112, -91, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7338 + -80910\/11. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14888205 + 12?\nAnswer: 14888217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -149, -495, -1167, -2273, -3921, -6219?\nAnswer: -9275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 15*b**2 - 1. Let r be t(-1). Solve -6 + r = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*j + 11894 = 21 + 24241 + 24964 for j.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102020121110 - 2121?\nAnswer: -102020201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -577792 by 256.\nAnswer: -2257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 238 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 + 63. List the prime factors of 3\/(0 - (-4)\/r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 0*u. Let k(x) = 0*x**2 + 3*x**2 + u*x**2. Let j(n) be the first derivative of n**2\/2 - 41. Calculate j(k(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 5:45 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 4*q**2 - 2*q + 1. Let a(n) = n**3 + 4*n**2 - 3*n + 1. Calculate 2*a(o) - 3*m(o).\nAnswer: 2*o**3 - 4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*f**2 + 49*f**2 - 5*f**2)*(-2*f + 0*f + 4*f + (f + 2*f - 4*f)*(-2 - 1 + 4)).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a**2 + 32*a - 40. Let y(x) be the second derivative of -x**4\/12 + x**3\/6 + 12*x. Let s(f) = b(f) - 2*y(f). What is c in s(c) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -5559*q - 516967. Determine u(-93).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94554.36 litres to millilitres.\nAnswer: 94554360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3 + 13)\/((-20)\/(-45)) and -89\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 44*n - 157. What is h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 409476 divided by 3.\nAnswer: 136492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**5 - 2280*h**4 + 32208*h**3 + 203282178*h**2 - 4259944029*h - 4463191722 = 0. Calculate h.\nAnswer: -517, -1, 22, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -279 + 282. Let z = 8 - 2. Solve -5*d + 37 = -n*k, -4*k = -5*d + 7*d + z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-4)\/(-4) + -2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20364 is divided by 4071.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-5)*135\/54?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 679 + 325 = 2*v. List the prime factors of v.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*12\/(-21)*-2*(-11)\/(-44)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(304)*4)**2.\nAnswer: 64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12685 + -12677. Solve -k - 2*x - 8 = 0, -3*k + 4 - w = -4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4715 + 4717. What is the third smallest value in 0.05, t, 0.3, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -700.481 + -4.919. What is v rounded to the nearest ten?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (-137 + 130 - (-2 + 3 + -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2005*i - 18. Give o(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12507 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1794.977 rounded to the nearest integer?\nAnswer: -1795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*b - 2*b + 12 = 0, -8 = 3*p + 5*b. Solve a - p = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10282 is divided by 353?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*d - 9 - 3. Let h(i) = -6*i**3 - 2*i**2 + 1. What is h(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 + 7*m + 12. Let b be z(10). Is -579*(-1 + 330\/b) - -5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 1230*c**2 - 95*c + 913. Is u(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 478844*u**4 - 491661 wrt u?\nAnswer: 1915376*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**3 + 2*h**2 - 2*h. Let i(n) = -n**3 - n. Let a(d) = 4*i(d) - s(d). Let q = -77 + 73. List the prime factors of a(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 22*n**2 + 22*n - 21. Let a be r(-23). Solve 2*b + h = -8, a*h - 5 + 1 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5 - (-26 + -16 + (0 - 0))) + -3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*w + 6777 - 4621 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 6*w - 3. Let l be (-10)\/(-3)*(-1 + -2). Suppose 1 = -m - n - 2, -5*m + 4*n = -30. Let u be l*m*3\/(-12). What is g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 + 0.3. Let p = 2297.5 + -2290.5. What is the biggest value in -1, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 - 21. Is (-1082)\/(x\/(-6) - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -101, -25, 5, 2.\nAnswer: -101, -25, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0142241 rounded to four decimal places?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a (base 12) in base 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 - 2*i - 12. Let a be m(-4). Suppose -4*f = -a*f + 48. Solve 8*t = -f - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of j**8\/112 + j**6\/15 + j**4\/24 + 5*j**3\/6 + 59*j**2. What is the second derivative of h(g) wrt g?\nAnswer: 60*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1811562*s**2 + 18941272*s.\nAnswer: 3623124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 175696 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-3)*(-27)\/18. Sort -4, s, -6 in descending order.\nAnswer: s, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 6*r - 7. Let w be i(7). Let x = w + 2. Solve -5*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3187*r = 3186*r - 6372*r + c + 8, 0 = -13*r + 5*c - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2202112 (base 3) to base 12.\nAnswer: -11b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5879.\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -118.95 and 22.83.\nAnswer: -2715.6285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 18796, 152408, 515074, 1221322, 2385680, 4122676, 6546838, 9772694?\n\"Answer: 19088*k**3 - k**2 - k - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -5*v - 3. Let s(p) = 7*p + 2. Determine 4*s(g) + 5*z(g).\nAnswer: 3*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 58172 divided by 55?\nAnswer: 58172\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k**3 - 9*k**2 + 6*k + 8. Let l(x) = 6*x**3 - 13*x + 5*x**3 - 3*x**3 - x**3 - 17 + 19*x**2. Let c(i) = 9*g(i) + 4*l(i). Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1397*b + 3950*b = 160839 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/3 - 1147*n\/2 - 389205\/2.\nAnswer: -(n + 465)*(2*n + 2511)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39504525 by -13168175.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 3668?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -2*f - 0*f - 5*y, -f - y + 7 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 173531445*q**3 + 2*q**2 + 255174781 wrt q?\nAnswer: 520594335*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 24  (b) -5  (c) -2\/7  (d) -0.4  (e) 9.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 26*s**2 - 45*s - 12. Let p be w(-23). Let y = p - -667. Sort -3, 5, y in decreasing order.\nAnswer: y, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fggx. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 64\/(-960)*(3\/13)\/(4\/(-8))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4*j = 111, 3*j + 97 = q - 0*q. Find the first derivative of 98*s + 63 + 52*s - q*s wrt s.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**3 - 562*k + 2644*k + 3673*k.\nAnswer: k**3 + 5755*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7051 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5*-4)\/(-7*(-44)\/(-1540))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 9 + (1 + 0 - ((-18 - -12) + 10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -d + 3*x - 6, 5*d = -2*x + 109. Suppose -14 = 3*q + 4*m, -4*m + 5 = 2*q + d. Calculate the common denominator of q\/(44\/49) + -1 and -61\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 382, 753, 1146, 1567, 2022?\n\"Answer: d**3 + 5*d**2 + 349*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 + 11818*f - 94672.\nAnswer: 2*(f - 8)*(f + 5917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 17 = 24 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -70345, -140674, -210987, -281278, -351541, -421770, -491959?\n\"Answer: m**3 + 2*m**2 - 70342*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 - -14. Let f be (-16)\/6 - 1\/3. List the prime factors of 9 - f\/(s\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 9:22 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.9 + -16. Let t = -2 - h. Let g = -64 + 188\/3. Which is the nearest to t?  (a) -0.4  (b) -3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**3\/6 + 2010*v. Let r(b) = b - 243. What is d(r(i))?\nAnswer: -i + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.451 - 0.049. Let k = 79 - 712\/9. What is the nearest to 8 in -4, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 181 - 112. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(432)*-2 + sqrt(432) + sqrt(9)\/(sqrt(3)*-3)).\nAnswer: -37*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: bc35 (base 13) to base 5\nAnswer: 1314424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4255463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 10*v + 5. Let g be p(12). Suppose -9*o - g = -182. Calculate the remainder when 99 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -93c + 5?\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 215, 37, -141?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 48*q**2 - 220*q + 10559. Determine p(48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -234 - -341. Is i a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23773 - (-5 - (8 + -15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, e: 1, p: 4, u: 1, o: 1, n: 6}. Give prob of picking 1 n, 1 u, 1 p, and 1 f.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17471545 by -6.\nAnswer: 17471545\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 20*r**2 - 7*r - 5. Let q be i(-1). Suppose 23*v - 180 = q*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -174 - -174.584. Let i = z - 0.6. Round i to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 9879.\nAnswer: -10\/9879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - 2*n - 2*n)*(-5*n**2 + 2*n**2 + 2*n**2) + 0*n**3 - n**3 + 5*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**3 + 314*u**2 + 100*u + 488. What is c(105)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 4*t**2 + 8*t - 9. Let g be k(2). Let a be (((-1)\/g)\/((-5)\/(-25)))\/(-1). Let o = -0.2 - -0.6. Sort a, 0, o.\nAnswer: a, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 396 - 399. What is the fourth smallest value in 0.4, v, -4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 144 + 35. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0075127 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a953 (base 15) to base 8.\nAnswer: -106015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 2 = 3*j, -4*r - j - 4*j = -20. Suppose -45 = -n - 2*n + 3*a, 2*a + r = 0. What is the highest common divisor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.75029 minutes to milliseconds.\nAnswer: 1785017.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 7*l + 886. Let o(z) = -20*z - 2607. What is -6*o(b) - 17*y(b)?\nAnswer: b + 580","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42677036\/531 - 80371. What is the common denominator of 74\/531 and n?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139636000 rounded to the nearest 100000?\nAnswer: 139600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9374 = -23*c + 9742 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -2*z**6\/15 - z**5\/5 + 2*z**4\/3 - 13*z + 17. Let f(u) be the first derivative of w(u). Factor f(l).\nAnswer: -4*l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + 1 - (79 - (-78 - -90))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1778*i**3*r**2 - 157*i**3 + 2*i**2*r + 10*i*r - i + 2966*r**2 + 9 wrt i.\nAnswer: 10668*r**2 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 7*u + 8. Let l be (6 + -9)*u\/3. Factor k**4 - 108*k + 5*k**3 + 4 + 112*k - 4 + l*k**2.\nAnswer: k*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c = 18*c - 128. What is the smallest common multiple of c and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -39*f**2 - 8*f + 5. Let k = 21 + -22. Let j(i) = -i**2 - 1. Let t(g) = k*d(g) - 5*j(g). Find a, given that t(a) = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -449?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*r = 170*r - 84 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -191.2 + 194. Which is the closest to 0.1?  (a) 2\/15  (b) -2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(10).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {t: 4, b: 1, x: 9, r: 2}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 8) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 153746941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612)*-3 - sqrt(612) - (sqrt(17) + (sqrt(119)\/sqrt(7) - sqrt(17))*-4 + sqrt(17)))**2 + ((-2*sqrt(1088))**2 + sqrt(1088))*3 + 3.\nAnswer: 24*sqrt(17) + 24551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -2089 in decreasing order.\nAnswer: 1, -5, -2089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 269.138?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1913987.695 - 2.7318.\nAnswer: 1913984.9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*u**2 + 3*u - 556 + 78*u**2 - 3*u - 560 - 562 + 1672.\nAnswer: 6*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**2*f**2*j**3 + 3*a**2*f**2*j - a**2 + 22*a*f**2*j - 8*f**2*j**3 - 3*f**2*j wrt a.\nAnswer: -4*f**2*j**3 + 6*f**2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v + 2 + v + v**2 - v. Suppose -u + 33 = -9*l + 4*u, -3*u + 1 = 4*l. Let t(k) = -1. Determine l*o(m) - 5*t(m).\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(52) + 2))**2 + 3.\nAnswer: 8*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14525 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1650875142, -1650875141, -1650875140, -1650875139, -1650875138?\nAnswer: -1650875137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 7. Let o = 7 - c. Factor -1\/2*w + 1\/2*w**2 + o.\nAnswer: w*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1277060083 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 20 and 301?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -197321 and 5.\nAnswer: -986605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2554 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3085, -3152, -3203, -3238?\nAnswer: -3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/47  (b) -0.3  (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, -2, 42, 5 in descending order.\nAnswer: 42, 5, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -0.2344?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*c**3 - 41*c**3 - 29*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 78550 (base 11) to base 6\nAnswer: 2234455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**3*p*t + 2*a**3*t**2 - 4*a**3 + 60664*a**2*p*t**2 + 7499*a*p*t + 3*a + 3*p*t - 431*t**2 + 4*t wrt t?\nAnswer: 4*a**3 + 121328*a**2*p - 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1129, 4496, 10101, 17944, 28025, 40344?\nAnswer: 54901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5794499.\nAnswer: 739, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 852 by 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1181155.2 - 7940.4.\nAnswer: -1189095.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 13 + (-34 + 3 - -2 - 8)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3645)*-1 + sqrt(3645))\/(sqrt(9) + sqrt(27)\/sqrt(3)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -19*d. What is the tens digit of p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lluuuuuauaiuaa. What is prob of sequence ului?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n - 11*n - 33 = -5*k, -3*n - 14 = -4*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -9*g**2 - 15*g - 33. Let p(x) = x**2 + 2*x + 4. Let m be 33\/(-4)*(-3)\/((-9)\/(-12)). Let q(c) = m*p(c) + 4*r(c). Factor q(d).\nAnswer: -3*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 338 by -26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-1 + 5 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - -22. Let s = -18 + u. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 4) + (2 + 0 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 14, -3, 0.3, -2\/611?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 226, 501, 834, 1195, 1554?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*a - 39. Let d be a\/12*(-16)\/(-3). Let u = -3 - -7. Solve 0*m + u*m = -d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2.473, 1, -5348, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4a5472 (base 11) to base 3\nAnswer: -1111112102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/9, 3, -10, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1589942.4 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 167*j**3 + 40*j**5 - 167*j**3 + (-2*j - 2*j + 3*j)*(-j**3 + j**3 + 2*j**4).\nAnswer: 38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 349238962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -20142752 divided by -21\nAnswer: 2877536\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-3 - -10) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) 1.9  (c) 0.1  (d) 0  (e) -631632\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2849046939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-414)*-2)\/((-541)\/((-905634)\/248))*-2?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**16*t\/t**(-11))\/(t**30*t*t**(-12)))**40 assuming t is positive.\nAnswer: t**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -212211212020 (base 3) in base 15?\nAnswer: -94119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4\/7))**(-37)\/(p*p*p**(2\/45)*(p\/(p*p**24*p))\/p) assuming p is positive.\nAnswer: p**(14206\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + -0.2. Let l be ((-136)\/18)\/(-2) - (12 - 8). Sort l, n, -5 in descending order.\nAnswer: l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -302 + -23013?\nAnswer: -23315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 9*b**2 - 12*b + 16. Let u = 469 - 476. Let q be p(u). Solve -5\/3*k - k**q - 2\/3 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.14061639 and -2.04.\nAnswer: -1.89938361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 2*d. Suppose d = h - 5*h + 124. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*k = 0. Solve 3*u - a - 15 = 2*a, k = -u - 3*a - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 88, 159 in ascending order.\nAnswer: 36, 88, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1997 + -1134. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1072644379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 22*c**2 - 40*c - 33. Let z(w) = -18*w**2 + 40*w + 23. Let a(f) = -3*g(f) - 4*z(f). Give a(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 38*x + 70. What is r(-7)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 6*r. Suppose -12 = -i - 2*i. Suppose 0 = q + 5*v + 62, 56*v - 60*v = -3*q + 61. Solve -u - 5*x + i + 11 = r, q*x - 12 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 284 = -166 - 122, 26 = 5*v - 4*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (142\/((-71000)\/300))\/(4\/(160\/(-78)))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -23*m + 9. Suppose 0 = 2266*w - 2270*w - 3 + 11. Calculate c(w).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, k: 14}. Give prob of picking 2 k and 1 o.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**3 + 32*b**2 - 2*b - 30. What is the tens digit of s(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*y - 9603 = -1358 + 4741. What is the remainder when 8683 is divided by y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1950 - -1955. Which is the fourth smallest value?  (a) -16  (b) y  (c) 0.3  (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1782*j - 1760*j - 242 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -32802 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2*s - 3)*(0*s + 5*s - s) - 156*s**2 - 1588*s**2 - 892*s**2 - 212*s**2 to v*s**2 + o + b*s and give v.\nAnswer: -2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 18*o - 15. Suppose -2*a = -4*u, 2*u = -5*a + 21 + 3. Let d = 15 + a. What is the lowest common multiple of 2 and y(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -3*i**4\/8 + 37*i**3\/6 - 14*i**2 - 2. Let f be z(4). Solve v = f - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -526 - -528. Solve m*n + 5 + 2*n - 6*n - 4*n + n**2 + 0 = 0 for n.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3924 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*o**2 + 0*o**2 - 14*o**4 - 24*o + 6*o**2 + 14*o**4 - 29*o**4 wrt o?\nAnswer: -696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c63 (base 16) to base 12.\nAnswer: 1a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1559 divided by 6759\nAnswer: 1559\/6759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 9:54 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.7 + -5.2. Put 1\/8, a, -8 in descending order.\nAnswer: a, 1\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2002975939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9197 by -541.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.43, 4, 20.3, 0?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -129\/56 - -3\/56. Which is the biggest value?  (a) 1\/4  (b) t  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from puipipp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2125 + -5134?\nAnswer: -300f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 176*v**2 + 36*v + 4. Let h be b(-6). Let w = h - 24643\/4. Which is bigger: w or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {j: 10, s: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1467551 (base 8) to base 10.\nAnswer: 421737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 638590 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -5*x + 11, 3*l - 6 - 6 = -3*x. Let a = 312 + -311. Differentiate -a + 4 + q - x with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-292)\/24)\/(10\/(-32)) - 4801\/(-72015).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 34101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44083*a**2*v - 35*a**2 + 706084*a*v wrt a.\nAnswer: 88166*v - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 231000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2420 (base 5) to base 6\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17561627*-0.4.\nAnswer: -7024650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -45*i**3 - 94 + 32*i**3 + 37*i**3 wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2414 and 259.02?\nAnswer: 625274.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 10*p**2 + 8*p - 3. Let o be r(-11). Suppose 0 = 3*l - 4*u - o, -6*u + 4*u = l. Is 9 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1539) + -1)*3 + (sqrt(1539) - (sqrt(1539) + (sqrt(1539) - (-1 + sqrt(1539) - sqrt(1539))*-3))) - (0 + (sqrt(1539) + -1)*-3).\nAnswer: -3 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - (-3 - 1))*(6 - 5)\/3. Solve d - 1\/3 + p*d**3 - d**2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 4*f**2 + 6*f - 3. Let r be y(5). Suppose 22 = r*z - 0*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 3*k**4\/28 + 5*k**3\/7 + 3*k**2\/2 + 9*k\/7 + 2. Factor d(s).\nAnswer: 3*(s + 1)**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 140 - 140. Suppose s*o + 1726 = 5*q + 4*o, 350 = q - 4*o. List the prime factors of q.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 609 by 39.\nAnswer: 203\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7139222954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r - 43*r**2 + 0 + 41*r**2 + 0. Let d be v(-3). Is -8 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22274 - -22726. What is the highest common factor of 3955 and i?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7552632955 + 7552632955 + 18*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -23 and -298.\nAnswer: 6854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4\/5, 5, 18, -3\/7, 19, 1 in descending order.\nAnswer: 19, 18, 5, 1, 0, -3\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5*j + 5*o - 3800, 5*j - 5*o = -4755. Do j and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/17, 3, -0.3, -12, -99.2, 1\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -11290258 times 0.2\nAnswer: -2258051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 + 2*p**3 - 6*p**3 + 0*p**3 - 4*p**3 + (1 - 1 - p)*(3*p**2 + p**2 - 5*p**2) - 2*p**3 - 5*p**2 + 5*p**2 as g*p**3 + b*p + s*p**2 + n and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 907826509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 - -72. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14401845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of -5*j**3\/6 - 2*j. Let g(a) = 2*a**2. What is g(d(q))?\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 + 4)*(9*v**2 + 16*v**2 - 4*v**2).\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16305 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b + 119 = 31 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -5669 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11302081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 196 or -1\/18468?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -16. Suppose -10 = -2*d, -5*p - 3*d = -20 - z. Calculate the greatest common divisor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.33 and -47078961.\nAnswer: -47078963.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 2\/13, -1\/15, -0.2 in ascending order.\nAnswer: -0.2, -1\/15, 2\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -10, -10, -14?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 3*c, 4*q - 2*c = 9*q. Let a be 1449\/(-184) + (q - 2\/16). Are -8 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 8863.502km?\nAnswer: 8863502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 739584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, r: 6, o: 5}. What is prob of sequence roor?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*u**2\/2 + 653033*u\/6 + 72559\/3 = 0. What is u?\nAnswer: -72559, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 0 - 61)*(164*j - 241*j - 633*j) to s*j + c and give s.\nAnswer: 41180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 0.103065.\nAnswer: -0.41226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -o - 11*l + 73, -7*l = -o - 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - o + 3. Let n(w) = w**2 - 2. Let x(t) = -14*t**2 + t + 24. Let j(b) = 13*n(b) + x(b). Calculate 5*a(f) + 8*j(f).\nAnswer: -3*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2493.63g in micrograms?\nAnswer: 2493630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -476*j**3 - 406*j**2.\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 108*c + 75. Let t(x) = -39*x - 25. Let k(y) = -17*t(y) - 6*z(y). Let g = 17 + -8. Is 22 a factor of k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -2. What is the nearest to 1\/3 in k, 6, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 937184\/28 - 1 - (-1 + -13)\/98?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34176 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -361*v**2 - 5*v - 5279 wrt v?\nAnswer: -722*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1250671199?\nAnswer: 79, 15831281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31209780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-3)\/(-36))\/(5\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 - -16. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145732.\nAnswer: 2, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do -193 and -1551\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 30, -199, 0, 11 in increasing order.\nAnswer: -199, -3, -2, 0, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**5\/13 - 10*h**4\/13 + 4*h**3\/13 + 20*h**2\/13 - 2*h\/13 - 10\/13 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*n**3 - 15*n**2 - 3009 - 3*n**4 + 3009.\nAnswer: -3*n**2*(n - 5)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2*g + g = 28, -4*d = g - 26. Suppose 0 = 5*x, -2*l - 462 = -5*x + 2*x. What is the remainder when (-3)\/d - l\/6 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x + 3. Let i be j(-3). Suppose -d = -i*d + 10. Calculate the highest common divisor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -123*f**2 - f + 1. Let z be l(1). Let y be -1 - (0 - z - 2). Let u = y + 207. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 23*y - 161. Let c be t(7). Let g(s) be the third derivative of 0*s + c - 1\/24*s**4 - 7\/6*s**3 - 4*s**2. Differentiate g(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4510 (base 12) in base 11?\nAnswer: -581a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-4))\/(-5*(-2)\/8). What is the second smallest value in m, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -272*s - 345*s + 356*s - 12 - 245*s to the form b*s + j and give b.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-6)*(-174)\/4. Suppose 2*l - d + 14 = 0. Suppose -223 = -18*z + 11. Calculate the remainder when l is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -303*z + 306*z. Let u = z - -37. What is the remainder when u is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 798 = -6*c + 802, 5*w = -4*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, 67, -4, 2\/17 in decreasing order.\nAnswer: 67, 0.6, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)\/sqrt(5) + 0 + -1)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 91 + -91. Which is the closest to 0?  (a) t  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*i + 63*i + 72 = 0. Let m be 0 + 0 + i\/(-27) - 0. Solve m*f + 2\/9*f**2 + 2\/3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -5*l**2 + l + 175. Let b be -2*(-1)\/(-14)*-7. Calculate w(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(5\/(-40)*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1913604.6 hours to days.\nAnswer: 79733.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = 67*x - 73*x + 56, -69*z = -4*x - 73*z + 32 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*q - 632576 = 618050 + 470174. Does 50 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -9*n**2. Let p = -2775\/2 + 1389. Let c(o) be the first derivative of 0*o + 8 - p*o**2. Give b(c(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.38  (b) 6  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1059525*p**4 - 5348*p + 37.\nAnswer: -12714300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28975, -57667, -86359, -115051, -143743?\nAnswer: -172435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -17. Let i(o) = o**3 + 3*o**2 + o. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 7*k**3 + 17*k**2 + 17*k - 3. Let z(g) = 4*g**3 + 9*g**2 + 9*g - 1. Let w(f) = -3*c(f) + 5*z(f). Is w(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 550, -329, -2726, -7403, -15122, -26645, -42734, -64151?\nAnswer: -91658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -88  (b) -0.1  (c) -3  (d) -2  (e) -7  (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.424959 kilometers?\nAnswer: 42495.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 5 + (0 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*s - 3*s - s)*(273 + 182 - 25) + 2*s + 3 - 3 as m + y*s and give y.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -179 - -393. What are the prime factors of c?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -9)\/(-13) - (1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7)*3 + 0 - (sqrt(7) + sqrt(35)\/sqrt(5) + 3))**2 + (sqrt(7) + sqrt(7) + 4 + 5)**2 + sqrt(63)\/(sqrt(9) + sqrt(36)) + 3.\nAnswer: 91*sqrt(7)\/3 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*c - 4*c + c)*(-4 + 2 - 2)*(6 - 3 + 6) to b*c + n and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 0)*(4 - 4 + 2)*(-1 - 1 + 2*z + 0).\nAnswer: -12*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.033417 take away 142.513274?\nAnswer: -142.546691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 4*d**2 - 2*d**3 - 2*d**2 + 3*d - 3*d**2 - 1. Suppose -5*t + 8*t = 5*p + 11, -p = 1. Suppose 8 = -f + 3*j + 1, 19 = t*f + 5*j. Calculate o(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 12*g, 32*k + 33*k - g - 292 = 73*k + g for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 362 divide 61294770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1050 by -33.\nAnswer: 350\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 8*y = -70. Let n(t) = t**3 - 5*t**2 + 7*t - 4. Let r be n(4). Suppose r*v - 10*v + 52 = 0. What is the remainder when v is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -4*a + 4*p, -86*p + 87*p = -3*a + 9. Solve -5*g - 12 = 3*b, 2*g - 2*b = 12 - a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -51 * 4.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 68985*n**2 + 6202*n - 2?\nAnswer: 137970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.001 and 2.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -231dd1 (base 14) in base 8?\nAnswer: -4440523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 + -197.29?\nAnswer: -197.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 55, 1, 4 in descending order.\nAnswer: 55, 7, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 27*o - 24. Is t(18) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 4:33 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 47*o - 42*o - 46, -16 = 4*o. Let i be 7\/((-28)\/8) - -27. Suppose -x = 4*b - 63, i = 4*x + 5*b - 238. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 92*j + 960. Let o be t(-27). Which is bigger: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 125*i = 3538. What is the greatest common factor of i and 3770?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-1)\/(-1))\/((-25)\/100).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74 divided by -1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.7503957 rounded to 2 decimal places?\nAnswer: 29.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**5 - 24*a**4 + 11*a**2 - 2*a wrt a?\nAnswer: 60*a**2 - 576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 4*q + 18768, 7*q + 17448 = 5*i - 6014. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 7. Suppose h + 2 = 0, -x*o - 2*h - h = -54. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1272 + -613. List the prime factors of m.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36023393 is divided by 1113?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*u - 8 = 2*h, 5 = 5*h - 2*u. Let c be (h - 1)*(2 + -7). Suppose -24 = 7*r - c*r. Solve -f = 3*f + r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5832247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 690 divided by -6\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.11184 - 1.11184. What is the nearest to 1\/4 in 3\/10, m, -32?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from cottshs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2925.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 1064*y**3 - 21*y**2 - 9*y + 99. Is q(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*v - 19*v + 27*v.\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 + 0\/(-2))*32. Let x = -85 - i. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*g + 2*g + 959. Let q = -136 + g. Sort q, 5, -6, 3 in ascending order.\nAnswer: -6, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ea46 - 3?\nAnswer: -ea49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9245, 9246, 9247, 9248?\n\"Answer: x + 9244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 99.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 2:29 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 2*j, o - 2*j - 68 + 56 = 0. Solve 0 = -5*m - 5*g + 20, 5*g - 4 + 20 = o*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -356108*d*s - 1444385285*d - 1617*s wrt s?\nAnswer: -356108*d - 1617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 10, f: 10}. Give prob of sequence ffo.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -2\/13, -12, -6\/7, -101.8, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4*f + 2*f + 4 = 0, m + 4*f + 10 = 0. Suppose m*i + 3*p = 17, 8*p = 3*i + 4*p - 34. Suppose -255 = -i*x + 5*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-9)\/720*(26 + 0\/(-3)) and -23\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 157675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zxx when three letters picked without replacement from {z: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - 8*y**2 + 17*y - 8. Let b be q(-10). Let f = -22 + b. Suppose f = 12*g - 9*g - 366. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 2*b**3\/3 + 2*b**2 + b - 16. What is t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2*y - 56, 4*g + 2*y - 5*y = 117. Let o be (0 + -2)\/((-2)\/110). Suppose -2*h + o = 3*h. What is the highest common divisor of h and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 20*a - 3. Let l(u) = -15*u**2. Determine i(l(x)).\nAnswer: -300*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1506894*y**4 - 11484*y**2 - 2*y + 10 wrt y?\nAnswer: -36165456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - 8\/6*(-54)\/(-12). Let o(g) = -5*g + 38. Let k(y) = -14*y + 108. Let u(q) = t*k(q) + 17*o(q). Calculate u(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p**3 - 33*p**2 - 238*p + 1440. Let h be l(-145). What is h rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 9959 = -5*t, -4*t + 7*t - 16553 = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 59175916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 508734587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -588*a = 294*a - 16511 + 73841 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 485461, 970903, 1456349, 1941799, 2427253, 2912711?\nAnswer: 3398173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(128) + (-1 + sqrt(128))**2) + -4)*-1 + -2.\nAnswer: -24*sqrt(2) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*z + 6*z - 5*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v - 10*v - 60. Let f be 320*-10*(-60875)\/v. What is f rounded to the nearest one hundred thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -448*i**4 - 144*i - 4?\nAnswer: -5376*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(-1\/3)*c))**7)**(-5\/6) assuming c is positive.\nAnswer: c**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 178*w - 175. Is j(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1916230351.\nAnswer: 7, 19, 67, 359, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 1:25 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3181679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 885946.8t to nanograms.\nAnswer: 885946800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -705 + 2046. List the prime factors of q.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -23.7  (b) 0.3  (c) 0.4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(25\/(350\/56))*(-1)\/(-34)*-8.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 53, 74, 93, 110?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 19392*-0.5\nAnswer: -9696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*v = 10*v + 322 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/z**(-20))\/z)\/(z*z**(-14)*z)*(z**(-7\/6)*z)\/z*(z*z**11*z)\/z assuming z is positive.\nAnswer: z**(263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 4, 167.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -81\/8 and 2\/3629 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.6 + -2.6. Is -0.04 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 140637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 1:02 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**2 + 5*k**2 + 0*k**2. Let t(o) = o**3 + 7*o**2 + 5*o - 4. Let l be t(-6). Let n(b) = 1 - 3*b**2 - 1 + l*b**2. What is x(n(i))?\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -10 + 34. Let f(z) = 3*z + 8. Let g(t) = t + 4. Let u(o) = 2*f(o) - 5*g(o). List the prime factors of u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.961 + -0.039. Which is the third smallest value?  (a) 9\/4  (b) g  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4188*f - 4565*f + 1191*f + 5007*f**2 wrt f.\nAnswer: 10014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4 = 0, 5*d - 2*s = s - 1. What is the greatest common divisor of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2 + (2*sqrt(171)*2 + (sqrt(171) - (-2*sqrt(171) + sqrt(171))*-2))\/(-1*sqrt(1089)*1).\nAnswer: -3*sqrt(19)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 11*q**4\/4 - 31*q**2 - 2*q. What is the derivative of o(v) wrt v?\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (7 + -43 - -67) - (0 - -7)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 - 43. Which is bigger: u or 2\/53?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7)\/b**(-1\/4))\/(((b*b*b*b*(b*(b*b\/b**(1\/3)*b*b)\/b)\/b)\/b)\/b)**(-2\/3) assuming b is positive.\nAnswer: b**(-131\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/3021 and 143\/6042.\nAnswer: 6042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8075\/(-102))\/25*3*6\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-10\/9)\/(g\/(g**4\/g)))\/(g\/g**(-1\/7))**(-5) assuming g is positive.\nAnswer: g**(416\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7369 + 12114. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6643, 6704, 6763, 6820, 6875?\nAnswer: 6928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 12*t**3 + 3985*t**2 + 345*t + 4320. What is u(-332)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.032 and 0.02.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 29\/9, -4\/7, 6, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 10*y**3 + 6*y**2 - 3*y - 3. Let t(u) = -13*u**3 - 7*u**2 + 4*u + 4. Let k(r) = 3*t(r) + 4*w(r). Calculate k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74, 304, 694, 1250, 1978, 2884, 3974?\nAnswer: 5254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.83609 millimeters in micrometers?\nAnswer: 94836.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than or equal to -418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in 1\/11, 10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2 + 63*p + 26. Let a be o(-31). Let y(t) = t**2 - 2*t. Let j(q) = 2*q**2 - 4*q. Give a*y(d) + 2*j(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -26\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and 682.8449.\nAnswer: 682.7449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*7\/(3 - -18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*w + 65 = 0. Let t(z) = 3*z + 6. Let q be t(-4). Let k(s) = -9*s - 2. Let v be k(q). What is the greatest common divisor of w and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, y: 9}. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51216 is divided by 50968.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -47 + -306?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69533?\nAnswer: 31, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 224, 448, 670, 890, 1108, 1324, 1538?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -273.013456 rounded to 0 dps?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -480 + 625. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2045\/4 + -2584\/5. Let i = -2265\/658 - 1160668\/4935. Let d = 1219\/5 + i. What is the common denominator of j and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 882498685?\nAnswer: 5, 6311, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of k**3\/6 - 3*k**2 + k. Let t be b(11). Suppose 0 = 3*g - t*v - 32, 2*v + 10 = 3*g - 19. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-2\/7))**(-1\/9)\/(q\/(q**(2\/5)\/q*q))**(5\/11))**(-39))**(-31) assuming q is positive.\nAnswer: q**(-67301\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.09473 to two decimal places.\nAnswer: 3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240)\/(sqrt(648) + sqrt(8)) + sqrt(1920)*-4)\/(((sqrt(480)*-2 + sqrt(480) - sqrt(480) - sqrt(480)) + sqrt(480))\/((sqrt(80) + sqrt(5))*1)).\nAnswer: 319*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*u - 80 = -24*u + 40 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j + 17. Let s be t(-7). Let l(i) = -42*i - 44*i + 13 + 88*i. Is l(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5 = -4*n, c - 10 = n - c. Suppose n = -d + 4 + 10. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k - 5 + 2*k**3 + 0*k + 3 + 76*k**4 - 32*k**4 to z*k + r*k**4 + g*k**3 + l*k**2 + f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3 + 96*o**2 + 156*o - 720.\nAnswer: 3*(o - 2)*(o + 4)*(o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of b**6\/3 - 4*b**5\/45 - 19*b**4\/2 + 616*b**3\/27 - 20*b**2\/3 - 7543. Determine h so that l(h) = 0.\nAnswer: -5, 0, 2\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.4 and 0.03?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.479232 less than -1?\nAnswer: -3.479232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -o - o + 3187, 4*f = o - 1626. Let x = o - 793. Suppose -a - 316 = -x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -120*f + 112*f + 10*f - 318 + (-2*f + 4*f - 3*f)*(-1 - 3 + 5).\nAnswer: f - 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(1\/6)\/t)\/t)**(-1\/26)\/(t**(-4))**43 assuming t is positive.\nAnswer: t**(26837\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 692 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -130346, -259963, -388854, -517019, -644458, -771171, -897158?\n\"Answer: 363*n**2 - 130706*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.47121 and 4.\nAnswer: 3.52879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -3*l + 26, v - 22 = -3*l - 3*v. Suppose -7*a + 135 = l*a. Suppose 13*o**3 + 5*o**2 - 2 - 5*o - a*o**3 - 3*o**4 + 7*o**3 = 0. What is o?\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = -y + 3*g - 11, -4*y + 3*g + 16 = 0. Is (-1 + 0)\/(y + 6612\/(-6609)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 43530812 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/4)\/((-135)\/405)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1242 divided by 10\nAnswer: 621\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1856, 3, 0.48 in ascending order.\nAnswer: 0.48, 3, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1420, -3166, -4952, -6778, -8644?\n\"Answer: -20*b**2 - 1686*b + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/32 and -137\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 0*b + 4*b)*(-17*b**2 + 113*b**2 - 1814*b + 27*b**2 + 1814*b).\nAnswer: 492*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 515 or 376?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 1. Let z(f) = -9*f**2 - 3. Let j be z(-3). Let s be j\/36 - 1\/(-3). Determine y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3 = -2*f, -5*f = 3*x - 7*x - 6. Suppose 3*l = -5*n + 4, -f*n + 5 = -4*l - 7. Solve -n*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/89880 and 109\/1260.\nAnswer: 269640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-3889.\nAnswer: 1555.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*u + 711 = -24*u. What are the prime factors of u?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 - 3)*(3*m**4 + m**2 - m**2).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29348 is divided by 637?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(168)\/(-2*sqrt(6)))\/sqrt(4) + -1)*1 + 4).\nAnswer: -sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-7)\/114)\/((-6)\/(-27)))\/((-2275)\/7800).\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0.5  (b) 78  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 e when three letters picked without replacement from {e: 1, r: 2, q: 2, n: 1, z: 1, g: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*b - 455, -457 = 7*c - 8*c - 3*b. Calculate the greatest common factor of c and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 45 = -3*o. Let q be 27 - -1 - (14 + o). Solve 4*t - h + 10 = -6*h, -4*h + q = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1394\/2665 + 2\/26?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2088 and 42.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-18))\/(2*5\/30).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -81\/7 - -419\/35. Let s = -0.6 + 2.1. Let i = s + -5.5. Which is the smallest value?  (a) 1  (b) p  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26953 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from huuu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -4*q - 25, -18 = -2*k + 3*q - 0. Let w(h) = h**2 + 3*h - 35. Let o be w(-9). Suppose -p - 2*y + k*y + o = 0, 4*y = p - 19. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 2 + 79*i**2 + 7.\nAnswer: 79*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 696\/88 + -7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10285 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 742997376 a multiple of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(847) + 3)*-6 - 1*(sqrt(847)*-4 - sqrt(847)))*-6)**2.\nAnswer: 14256*sqrt(7) + 42156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 + -0.1. Let b = 2264755\/11 - 205887. What is the nearest to q in b, -11, -0.8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/1170 and -44\/5395.\nAnswer: 97110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29.169 - -106.\nAnswer: 135.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*o + 5*x + 5, 0 = 2*o + 4*x - 2. Let f(c) be the first derivative of -c**2\/2 + 12*c + 4. Let j be f(0). Solve -g = -o*g + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 382 - 370. Suppose -939 + 4119 = -o*b. Which is greater: -264 or b?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31702028329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -3\/7  (c) -2977  (d) 7\/33  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -78  (b) 2  (c) -19\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**2 - 3*u + 6. Let a(b) = b**3 + 6*b**2 + 8*b - 17. Give 3*a(g) + 8*k(g).\nAnswer: 3*g**3 + 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.2  (b) 1  (c) 2  (d) -527  (e) 6\/11  (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/48*(57 - 1). Suppose 0 = s*z - 9 - 19. Factor 4\/13 - 2*r + 22\/13*r**z.\nAnswer: 2*(r - 1)*(11*r - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76856311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5852491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**5 - 491*c**4 + 773*c**3 + 6031*c**2 - 5928*c - 10692 = 0.\nAnswer: -3, -1, 2, 11\/3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-39)\/9 + -1 + 5. What is the nearest to 1 in f, 1\/9, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 820\/3 or 272?\nAnswer: 820\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -425*f = -420*f + 2775. Let b = -1107\/2 - f. Let m(t) = -t + 1. Let a be m(5). Sort a, 1\/4, -3, b.\nAnswer: a, -3, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*g - 67*g + q = -7, 5*g - 2*q + 19 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-433199)\/188*(12\/(-9))\/((-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -56 + -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence titi when four letters picked without replacement from {i: 4, t: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3. Let m(z) = -2*z**3 - 4*z**2 - 5*z + 3. Let s(n) = 3*l(n) - m(n). Let x be s(5). Is 19 a factor of (-58)\/(-3) - (-1)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36*h**2 - 191*h.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j. Let f(m) = 4*m**2 + 2*m + 1. Let s(y) = -4*y**2 - 15*y - 5. Let n(c) = 10*f(c) + 2*s(c). Calculate z(n(k)).\nAnswer: -64*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ize when three letters picked without replacement from {i: 4, e: 3, z: 6}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 5*s = -s + 392, 4*s = 4*c + 328. Let q = c + 84. Solve -3*b = q*w + 27, 8*b - 3*b = -25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 12:08 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, 1, 3, -29, 0.5, 0.4, 16 in increasing order.\nAnswer: -29, 0.4, 0.5, 1, 1.2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of 9*g - 1\/6*g**3 + 1\/2*g**2 + 0. What is p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(78)*1)\/(sqrt(72)\/sqrt(3)) - (sqrt(832) + 4*(sqrt(832) + -1*sqrt(832) + sqrt(832)) + sqrt(832) - (-1 + sqrt(832) + 1))**2.\nAnswer: -20800 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4589*l + 42583. Give o(9).\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 7*m - 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6*(112\/3)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -2  (b) -2\/17  (c) 26  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 11 = -4*q, 5*q - q = 3*b + 13. Let y(x) = -5*x + 3*x + 3*x - 11*x**2 + 0*x. Calculate y(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*h**2*q - 1155*h**2 + 59*q wrt q?\nAnswer: -5*h**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 7*w**3 + 3*w**2 + 10*w + 9. Calculate x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 8 = 8. Let m be ((-4)\/(-6)*87)\/(k\/8). Let c = -79 + m. Is 37 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006625 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17279506 is divided by 696.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 5, -3, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 3:29 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 6:55 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 36*n - 222. Calculate the remainder when 369 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14402 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 291677676.\nAnswer: 2, 3, 47, 277, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (111 + 30 + 184)*(-2*d**4 + 4*d**4 - 4*d**4) in the form h*d**2 + n + r*d**3 + i*d**4 + w*d and give i.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000008121267 to seven decimal places.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -10. Let o(t) be the first derivative of 9*t**2\/2 + 13*t + 221. What is the tens digit of o(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -224.51 + 221.51. Let r = 14 + -10. Let a = 2 + -3. Sort j, r, 5, a.\nAnswer: j, a, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -5444*x**2 + 10*x - 17. What is b(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5975 and 754708225.\nAnswer: 5975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*c**3 - 30*c**2 + 25*c = 0. What is c?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 4*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 864221 is divided by 57602?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49)\/(-686) - 142\/14*5\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -374, -381, -392, -407, -426?\n\"Answer: -2*w**2 - w - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from unuuuunu. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/4913 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-142*b + 2 + 63*b + 50*b)*(-1 + 1 + 4*b**2)*(-3 + 3 - b**2).\nAnswer: 116*b**5 - 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 415785423 divided by -3\nAnswer: -138595141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-1)\/q*q)\/q)\/q*q)\/q**(-3\/13) assuming q is positive.\nAnswer: q**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((1258\/918)\/37)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of c**4\/12 - 7*c**3\/6 + c**2 - 6*c - 6. Let h(s) be the first derivative of x(s). Let m be 23 + -23 + (-5)\/(-1). Give h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -155, -127, -71, 25, 173?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, i: 2, h: 2, u: 1, f: 2, a: 1}. What is prob of picking 1 u and 1 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20\/(-16) + (-9402)\/(-8)?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5254*g**4 - 2*g**3 + 12*g**2 + 6290. Let n(u) = 2102*u**4 + u**3 - 5*u**2 - 2516. Let x(j) = -12*n(j) - 5*t(j). Differentiate x(w) wrt w.\nAnswer: 4184*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k**2 + 1604*k - 6528 = 0. Calculate k.\nAnswer: 17\/4, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 1. Let c(p) = -p**2 + 5*p + 2. Let q be c(4). Suppose -l*k = -q*k + 252. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22 - -1213?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 23*y**3 + 8*y - 7. Let s be l(1). Let o = s + 769. What are the prime factors of o?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -1000211?\nAnswer: 1000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 17344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (6 - 36) + 18 - -22 - (-75 - 0)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -173  (b) -18  (c) -1\/5  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 22. Solve -3*k - 3*d + 9 = 0, k + 0 = 3*d - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x**2 - 2*x + 8. Let o(v) = -7*v**2 - 3*v + 15. Let i(y) = -3*o(y) + 5*p(y). Let g be (96\/36)\/(4*(-2)\/(-12)). Determine i(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 102 - 98. Differentiate 14*l**4 + 8*l**4 - 49*l**u - 14 + 14*l**4 with respect to l.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 4708.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 141771, 141770, 141769, 141768, 141767, 141766?\n\"Answer: -l + 141772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -1. Let s be (t\/(-2))\/(1\/(-4)). What is the remainder when 14 is divided by (-10 - 2)\/(3\/s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 2:29 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2 - 13\/18. Let n = -262533\/7 - -37505. Which is the second biggest value?  (a) n  (b) -0.04  (c) -1\/2  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/(-150)*(-8)\/128*60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 93\/130 - 3\/26. Let s = -3.6 - -5.3. Let g = -2 + s. What is the smallest value in v, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 30. Solve 5*x + 7 = 5*t - 8, -3 = -g*x - 3*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2291a (base 12) to base 7.\nAnswer: -251554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((1 + -1)\/1)\/(-2). Suppose p + h + 3 - 6 = b, -4*p - 5*h + 13 = 0. Solve 0*n**2 - n**2 + n**p + 3*n**2 + 3*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 3591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -g**3\/3 - 9*g**2 - 11*g + 121. Let y be (8\/5)\/(2\/(-10)). What is the tens digit of o(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/23002 and 157\/2023308?\nAnswer: 107235324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -72, -114, -154, -186, -204, -202, -174?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k + 14. Let x be f(7). Put 4, -5, x in increasing order.\nAnswer: -5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2507 (base 10) to base 11.\nAnswer: 197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -956 in increasing order.\nAnswer: -956, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 2:15 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s + 80233 + 56039 = 0. What are the prime factors of s?\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4104087, 8208180, 12312275, 16416372?\n\"Answer: n**2 + 4104090*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-5 - -2)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2786 + -1612. Let c = s - 144. What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 2*f**2 - 277*f - 322. Give x(-17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 108 + 89. Calculate the remainder when a is divided by (-10)\/(-20)*10*(-1 + 5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 + 376 = 3*t. Suppose -8*v = -922 + t. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j**2 - 7*j + 5. Let h be u(6). Suppose 4*x - h - 1 = 0. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*((f\/(f**18*f))\/f*f)\/f*f)\/f**6 assuming f is positive.\nAnswer: f**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q**2 + 12*q - 1. Let u be b(-5). Let j = u - -17. Let l be 2\/6 + 14\/((-462)\/(-121)). Solve -14 = -l*s + j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5\/88418?\nAnswer: -5\/88418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -0.1. Let z be -3*((-136)\/66 + 2). What is the smallest value in -2\/5, z, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3252493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.6 - -6.6. Let p = 11\/4 - 67\/20. Put q, p, 0.1 in decreasing order.\nAnswer: q, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -191858.\nAnswer: -2\/95929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/((-1)\/66). Suppose -14*o = -16*o + 5*c + 553, -o = c - 259. What is the highest common divisor of o and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 548, -200, -948, -1696, -2444, -3192?\n\"Answer: -748*u + 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.44513876 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -67 * -1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p + p**3 + 0*p + 2*p**3 - p.\nAnswer: 3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 27271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.26259453 to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 2*g + 2, 0 = 2*s + 5*g - 0*g - 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -155 + 159. Sort -3, m, 0 in ascending order.\nAnswer: -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*y + 1541 + 1377 = 1874 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 39)*(-8*m + 10*m - 7*m).\nAnswer: 180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 + 0)*6\/(-18). Suppose 0*s - 2*s = r. Let o be s + -2 + 1 + 1. Solve 6 = -2*x - o*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from ottvtovkktvokttvkt?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 708.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -2*g**5\/3 - 9940*g**4\/3 + 2365094*g**3\/3 - 139858760*g**2\/3 + 90887336*g - 45052800 = 0.\nAnswer: -5200, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9894 - 4456. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 - 16402*s + 2616470. Give b(158).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 255\/(-46)*2 + (7467\/437 + -39 - -22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105, 207, 311, 417, 525, 635, 747?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1429.768 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -767 - -1131. What is the greatest common factor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/2 - 15\/(-6). Suppose z*j + 5 + 7 = 0. Find the common denominator of -43\/8 and 1\/(9\/j) - 139\/21.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + -8 + 12 - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 718 a factor of 2851120560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 182.3 - 182. Let a(w) = -9*w**2 - 54*w - 12. Let h be a(-6). What is the third biggest value in -0.4, 0.5, n, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - 2309*s + 2307. Give z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*y = -2*t + 8, -5*t + 3*y - 15 = 0. Let x = t - -18. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1413 + -1418. Which is the closest to l?  (a) 10  (b) -2\/9  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 160 and 368.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0208 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154 - 433*q**2 + 433*q**2 + 154 + 1147*q**3.\nAnswer: 1147*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2079)\/7293 - (-15)\/(-85)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*((sqrt(144)\/sqrt(3) + sqrt(48))\/sqrt(4) + -1))**2*-4.\nAnswer: -96*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 65, 123, 163, 179, 165, 115, 23, -117?\n\"Answer: -z**3 - 3*z**2 + 74*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49*w*y**3 + 84*w*y**2 - 9*w*y - 620*w + 40*y**3 + 4*y**2 + 28*y wrt y.\nAnswer: -294*w*y + 168*w + 240*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -310830 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1041494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1283650 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/4 + 1565*z + 2449225.\nAnswer: (z + 3130)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*g - 28*g + 2*g**2 - 31*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 371 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 + 14*o - 1. Give u(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 3:26 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2053*y + 102645. What is z(50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*y**5 + 1904*y**4 + 5960*y**3 + 6656*y**2 + 2948*y + 368 = 0. What is y?\nAnswer: -92, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 58 and 19633?\nAnswer: 39266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(125) - (1*(2 + sqrt(125)) + sqrt(125))) + sqrt(125))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10113270.\nAnswer: 2, 3, 5, 277, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/5)\/(f*f**(-1)))\/(f**(-2\/7)*f**(-1\/2)))\/((f**10\/f)\/f**(-6\/11))**(2\/13) assuming f is positive.\nAnswer: f**(-4833\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.04 - 7. Let d = n - -0.26. Put -3, d, -0.9 in decreasing order.\nAnswer: d, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*z + 6*z - 17*z - 9*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 55 = -8657*y + 8660*y, 3*r + 37 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 10*x - 12. Suppose 18 = -2*k + x*k. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148290 is divided by 8709.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 50*d + 94*d - 50*d to the form c*d + s and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 15076*w + 60304. Let b be a(-4). Factor b*n**2 + 0*n + 8\/5*n**4 - 4\/5*n**3 + 0 - 4\/5*n**5.\nAnswer: -4*n**3*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -101*u - 2654. Give o(-27).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 51. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/480 and -143\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**5 + 5944*j**4 - 626696*j**3 + 1229600*j**2 = 0. What is j?\nAnswer: -3074, 0, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -173184 times -561?\nAnswer: 97156224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 196 - 3?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 172480 and 53680?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 2*d + 0*d)*(-1 + 3 + 2*d**3 - 6).\nAnswer: -4*d**4 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**5 - 4*p**5 + 3*p**5 + (-2*p**3 + 3*p**3 + 5*p**2 - 3*p**2)*(4*p**2 - 3*p**2 + 0*p**2).\nAnswer: 2*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3225*j + 3797*j - 5077*j)*(-124 + 124 + 15*j) to the form x*j**2 + z + m*j and give x.\nAnswer: 29175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 2*l - 702, -4*z + 525 = -z - 3*l. Calculate the greatest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -77674 (base 8) to base 5\nAnswer: -2021300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2. Let j(n) = 1471648*n. What is x(j(f))?\nAnswer: 2165747835904*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 204085649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 3*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*b + 19*b + 3*l - 5, 0 = -b - l + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -223120 - 1123?\nAnswer: -224243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f + 2. Suppose -3*n = -n - 108. What is the remainder when n is divided by m(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 0.036.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 2:13 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 20.4. Which is the biggest value?  (a) 5  (b) m  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/14 and -43\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 190544 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: What is (-37*5\/2035)\/((-1)\/33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000810935 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, r: 5, n: 1}. Give prob of sequence rrn.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {v: 7, c: 4, d: 2}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 445464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 16*t + 15*t - 6*t - 10. Let c(l) = 2*l**3 - 49*l**2 - 76*l - 48. Let b be c(26). What is the units digit of p(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12608 + -4945. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/6 + (-498)\/(-36). Suppose 5*d - 455 = 4*n, d + q = 4*n + 121. What are the prime factors of (-1 + -1)*-1 + d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - o - o - 32312, 5*o = 3*k - 48474. What are the prime factors of k?\nAnswer: 29, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -9*u**4\/22 - 74*u**3\/11 + 7*u**2 - 26*u\/11 - 80. Suppose w(r) = 0. What is r?\nAnswer: -13, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -0.2. Let w = -2 + 2.1. Let x = w - q. Sort x, -0.5, -2.\nAnswer: -2, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (2 - -2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 537656 and 2553866.\nAnswer: 10215464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16176 by -24.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d**3 - 6*d**3 + 2 + 4)*(-4 - 24 + 1).\nAnswer: 54*d**3 - 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -1\/30, -4, 0.4 in decreasing order.\nAnswer: 0.4, -1\/30, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 155, 252, 361, 488, 639, 820, 1037?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 15 + 1 - 2 - 10 - 5. Let y(v) = v - 4. Suppose 0 = -3*a + 3*z - 15, 2*a - 5*z - 47 = 5*a. Let g = 15 + a. What is g*h(q) - y(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-18) + (-768)\/54. What is the common denominator of 13\/j + 2\/7 and 123\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.309846 - -0.74.\nAnswer: 1.049846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 105 - 103.4. Let y = -1.7 + c. What is the third biggest value in y, 1\/8, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -57 + 95. Let h = -17 + k. Suppose 4*a + 2*g = 36, -a + 3*g + 23 = -0*a. What is the remainder when h is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**2 + 3*g**2 - g**2 - 2*g**2 to the form n*g**2 + b + s*g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + -23. What is the nearest to -1\/3 in -1\/3, b, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1653 and 30.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4869*f**2. Let s(l) = 10*l. Give g(s(d)).\nAnswer: -486900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 3*m**2 + 2*m + 2. Let z be p(2). Let i(v) = v**2 - 2*v + 1. Let j be i(2). Solve -y = -2*h + 1, z*h - j - 4 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 35 + 2*z - 12)*(7*z + 12*z - 6*z).\nAnswer: 26*z**2 + 143*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2))\/((-7)\/168). Let g be ((-8)\/12)\/(1\/t). Solve 0 = 4*x + g + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 52*k**3 - 5*k**2 - 2*k - 2. What is the hundreds digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 7:53 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*r*u**3 - 1337*r*u - 2*u**5 - 8*u**2 wrt u.\nAnswer: -42*r*u - 40*u**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 1:01 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*n - 16. Let p(m) = 19*m**2 - 8*m - 6. Let w(i) = -20*i**2 + 8*i + 7. Let s(l) = n*w(l) - 7*p(l). What is the second derivative of s(j) wrt j?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2752.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*j + 2849 = 525, -1867 = 4*w - 5*j. Sort -4, 4, w, 0 in descending order.\nAnswer: 4, 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 83*l - 86*l + 1780, -1188 = -2*l + 3*z. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1677\/(-1935) - (-8)\/30)\/(6 - 29\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 PM and 9:03 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35693, -35689, -35685, -35681?\nAnswer: -35677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10220 (base 4) to base 7.\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -654 divided by -109.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-39520)\/(-52))\/19*-1*(-2)\/8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1643 in -4, 0.1, -30\/17, -0.4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/2335 - 6445\/467. Let f = n - -14. Which is the nearest to 0.7?  (a) -2\/3  (b) f  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f + 31 + 28 = k, -f - 42 = -2*k + 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -1336*i**2 - 6687*i - 73. Calculate g(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -4*r**3 - 480*r**2 - 14400*r = 0.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 98694829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j - 11*j + 175. Let x be (0 - j)*(-15)\/25. What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m + 16*m - 607 - 960*m**3 - 7*m + 84. Let o(z) = 320*z**3 - 3*z + 174. Let q(p) = 3*g(p) + 8*o(p). What is the derivative of q(n) wrt n?\nAnswer: -960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.667523*-82.\nAnswer: 300.736886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f*f*f**(-12)*f**(-1\/6)*f*f**(-4\/11)\/f**(2\/15) assuming f is positive.\nAnswer: f**(-953\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2769837801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (22 - 24)\/(2\/100). Let y = -100 - g. Solve 0*q = 4*c + q + 13, -c + 4*q + 18 = y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7354c5 + -5a?\nAnswer: 735468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - -5*(sqrt(85) + -1*sqrt(85) + sqrt(85) + sqrt(85)))*3)\/(4*(sqrt(5) + sqrt(20)) + sqrt(5) + (sqrt(5) - (1*sqrt(50) + sqrt(50))\/sqrt(10))).\nAnswer: 11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3203132 (base 4) to base 12\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t + 5*t + 80. What is the greatest common factor of t and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-110)\/3 + 8\/12. Let g be (-1)\/(x\/(-8) - 5). Solve 0 = -6*j + g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1418 - 1292.2. What is i rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 37054885.\nAnswer: 37054890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {z: 2, j: 1, q: 1, y: 4, o: 7, v: 3}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(1700) - 2*sqrt(1700)*2)**2 - (4 + -1*sqrt(1700)))*1 + 3).\nAnswer: -61196 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -1, -4, -59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -298500992 * -0.1\nAnswer: 29850099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4191187369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/9 - (-6)\/(-27). Suppose 4*c - 16 = 0, 4 = -5*i + c - d*c. Suppose -6 = -3*a - i. Solve -a*g + 4 = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (-1 - 2) + 6. Let a(d) = -2*d**3 + 5*d - n*d - 3*d. What is the lowest common multiple of a(-1) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.8 + 0.2. Let q(f) = f**2 - 3*f - 2. Let w be q(4). Let l be (w\/3*5)\/(-2). Which is the second smallest value?  (a) l  (b) 0  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/3*(-63)\/(-700)*-4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63 - -97. Let d = 48 - k. Suppose -40 = -5*z + 2*i - d, -2*i = 3*z - 6. Let a(b) = b**3 - 3*b**2 - 4*b + 6. Give a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 27 = -3*l - 2*r, 5*l = -r + 45. Suppose -i + 65 - l = 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3237, -11977, -26535, -46905, -73081, -105057, -142827?\n\"Answer: o**3 - 2915*o**2 - 2*o - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 2*i - 30, 5*i = -19*u - 5617 + 5762 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44840 = 4*z + 5*n, -2*z + 9788 = -5*n - 12662. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 + 3)\/1*-1. Suppose -2*g + 16 = 4*h, 5*g = 9*g + 2*h - 26. Let t be 5 - (g + 84\/(-92)). Is v at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**5\/30 + a**4\/2 + 11*a**3\/6 - a**2. List the prime factors of w(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 136\/(-54)*204\/(4 - 2). Let d = a - -256. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9.3  (b) 1\/3  (c) 5  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8586 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -346*p**3 + 3*p + 130. Let l(v) = 691*v**3 + v**2 - 7*v - 263. Let x(u) = 3*l(u) + 7*o(u). Find the third derivative of x(w) wrt w.\nAnswer: -2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 7 + 5. Let u be -121 + 1*0\/j. Let b = u + 176. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 4*y = 5*z - 2062, 3*y - 5*z - 1529 = 0. Suppose 3*r - y = 144. Is (-5 - -3 - -4) + 5*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8411806.\nAnswer: 2, 13, 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 8. Suppose 5*q + f*d = q + 15, 2*q = -3*d + 15. Solve q*j = -5*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 9*x**2 - 17*x + 6. Does 13 divide f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237\/2 + 1\/4*v**2 + 161\/4*v = 0. What is v?\nAnswer: -158, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1059308 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -595*o + 69676. Calculate f(117).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1367 and -0.5?\nAnswer: 1366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02977918 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*q + 20*q - 84 = 0. Suppose 3*b - 5*c - q = 0, c = -3*b + 4*c + 24. Calculate the smallest common multiple of 2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 4*d - 15, 4*x - 3*x + 12 = 5*d. Suppose -3*s + 7 = -5*m, -3*s = -x*m + 5 - 14. Solve 20 = -s*c + 2*q - 6*q, 4*q = -5*c - 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**6)**49 assuming i is positive.\nAnswer: i**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13035)\/72996*(-12)\/10.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10160333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26270 + -26272. Sort 4, l, -732, 2 in descending order.\nAnswer: 4, 2, l, -732","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*9.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 22*q - 25*q = -16, -8*a = -3*q - 34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of y**4\/4 - 7*y**3\/3 + 7*y**2\/2 - 5*y - 1. Suppose -t = -4*b + 29, 2*b + 5 = -4*t - 3. What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2\/87, 9\/4, 0.3?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 2. Let o be (-14)\/(-21) + 17\/(-3). Let a be r(o). Let c = 19 + a. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10719+-0.2\nAnswer: 10718.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19\/26 or 2?\nAnswer: 19\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3610523 (base 7) in base 9?\nAnswer: 765118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of -441*f**5\/5 + f**3 - 3*f**2\/2 - 144. What is the third derivative of m(o) wrt o?\nAnswer: -10584*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((6\/1)\/(-3) - -3)\/((-2)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.045*52.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o - 15*o - 12 = 0. Suppose -5*x = -i - 2*i - o, -16 = 4*x + 4*i. What is the smallest common multiple of (-34)\/(-1) - x\/1 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 904\/2713 + 1\/8139. Let t = 5 + -1.8. Let u = 0.2 - t. Put -0.1, 3, u, p in decreasing order.\nAnswer: 3, p, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6270235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (10 + -8 - (10 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (15 + 1045\/(-76))*8\/5. Solve 5*a - 13*f = -8*f - 10, z = -a + 4*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*i = -101*i - 47. Let d = i + 54. Suppose r - d = 21. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = j - 18. Suppose 12*q - 11*q + j = 0. Let m be q\/24*(-4)\/1. What is the greatest common divisor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5086 - 0.5186. Which is the second biggest value?  (a) 1  (b) 0.5  (c) 5  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p*p**(-1\/3))*p*p))**1*(p\/(p\/(p**(-6)\/p)))**23 assuming p is positive.\nAnswer: p**(-487\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from htxxhxxhhxtrgxg. Give prob of sequence tx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - ((11 - 30) + 21)) + -41 + -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11590 and 10.\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-31)\/5 - -2)*5. Let c be (-36)\/g*(-14)\/(-4). Suppose -5*x = -0*x. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3267646 > -3267648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -26410.\nAnswer: -1\/13205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 13233\/(-1604)*(-8)\/(-18)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47121019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 134220000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 70031 = 2*d, -2*d + 4*r + 70010 = 8*r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 0, 0*u - 3*y - 3 = 3*u. Let k(r) = -r**3 - 2*r**2 - r. Calculate k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 = -4*j - 3*f + 952, -3*j + 628 = 5*f. Suppose 4*z + 3*p = j, 117 - 340 = -4*z + p. Suppose 3*n = 131 + z. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8976115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -3, 34, 0, -4 in descending order.\nAnswer: 34, 2, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 + -18. Let i = 1.7 + m. Let z = -212.9 + 213. Which is the closest to -2?  (a) -1\/14  (b) z  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21079 is divided by 917.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 30*t**2 - 225*t - 24. What is w(-17)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.5 * 519\nAnswer: -778.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-2)\/26)\/(59\/(-59))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3412, 2, 72, -109 in descending order.\nAnswer: 72, 2, -109, -3412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.325 - -0.3250447. What is n rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 + -9)*(90\/12)\/(-5). Suppose k + 3 = a. Let o(m) = m**2 - 11*m - 16. Calculate o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, m: 7}. What is prob of picking 1 q and 2 m?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (186\/(-40))\/3. Let d = 487 + -2449\/5. Let w = a + d. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246704982571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*l**3 + 6 - 6 - 19*l**3.\nAnswer: -69*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4732 (base 8) to base 4.\nAnswer: 213122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + b + 1. Let r(y) be the first derivative of -2*y**3 + 4*y**2 + 7*y - 1. Let i(g) = 2*r(g) - 14*v(g). Factor i(z).\nAnswer: 2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 12429*t. Let r(g) = -67*g**2. What is r(n(f))?\nAnswer: -10350162747*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -72*m**5 + 563*m**4 - 5*m**3 - 3*m**2 - 30*m - 1723?\nAnswer: -4320*m**2 + 13512*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -753837?\nAnswer: 1\/251279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from yyuxppakpykukx.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 4*v - 1099 + 1043, 3*v - 5*k = -k - 79 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 11, a: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.03843 and -1.72620972?\nAnswer: 1.76463972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -45. Let n be 11753\/92 + 3\/12. Let b = n - v. List the prime factors of b.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 26*a - 122. What is the remainder when y(8) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -383, -2 in descending order.\nAnswer: 5, -2, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2044 and -0.4?\nAnswer: 0.08176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 8) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 12 = 4*r - 1, -5*r - 4 = -3*u. Suppose u*y - 32 = -y. Let z be (46\/y)\/((2 - 3)\/(-4)). Solve -5 + z = 3*c + t, 5*c - 40 = -5*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*v - 14 = 0, 3*q - v - 20 = v. Suppose 0 = -q*z + 82218845 - 23818845. Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -0.1, -1\/4, -736, -4, -5 in descending order.\nAnswer: 2\/5, -0.1, -1\/4, -4, -5, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 117528192 and 53568?\nAnswer: 117528192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w. Let v(a) be the third derivative of 0 + 26*a**2 + 5\/8*a**4 + 0*a + 0*a**3. Determine p(v(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.137795 and 184.\nAnswer: 183.862205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.9 + 1. Let n = -0.2 + t. Let v be 3*1\/(-45)*3. What is the nearest to n in v, -0.4, -3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -16*u. Let p = -24 - -24. Let t(r) = 17*r - 16*r + p + 0. Determine v(t(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - 3*a + 2 - 3)*(-2*a + 0*a + 2*a**3 + 3*a).\nAnswer: -10*a**4 - 2*a**3 - 5*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5326497*f - 5326497*f - 414*f**3 - 152*f**3.\nAnswer: -566*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -248.954*23\nAnswer: -5725.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6223*g + 9328.\nAnswer: 6223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 225692 + 926?\nAnswer: 226508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -0*n + 36. Let f = -21 + 11. Let w be (1 - -9)*(-4)\/f. Solve y = w*y + n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0942+36\nAnswer: 35.9058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/((-36)\/704) + (-9 - -8). Suppose 4*r + o = 129 + 8, -5*r - 2*o + b = 0. What is the highest common factor of r and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 68812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10421669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -2. Suppose -j*y = -0*y - 140. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 6107*q**2. Let x(d) = -1435148*d**2. What is -704*j(y) - 3*x(y)?\nAnswer: 6116*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 - r**2 + 1. Suppose 3*k = 3*x + 69, -45 = -0*x + 3*x + 5*k. Let c = x + 25. Calculate the remainder when c is divided by u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*3\/4*(-4)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 244, 474, 704, 934, 1164, 1394?\n\"Answer: 230*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10b83 (base 15) to base 11\nAnswer: -36a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 751767968 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6204986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 7*p**2 - 7*p - 4. Let c be o(8). Suppose 194 = -s + c*s - 2*i, -3*s - 2*i = -190. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77618 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*u + 35*u + j = 26, -268 = -24*u - j for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 7*x**3 - 10*x**2 - 8*x**3 + 0 + 2*x**3 to the form d*x**2 + o + b*x**3 + v*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 - j**2. Let r(k) be the third derivative of -k**6\/30 + k**5\/6 + k**4\/8 + 719*k**2. Give -6*n(g) - r(g).\nAnswer: -2*g**3 - 4*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -12, -0.99, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -113  (c) -36  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -202.33 and -230.\nAnswer: 46535.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 440087915 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 42.823611 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16323.14l to millilitres.\nAnswer: 16323140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 + 20 + -4 + 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5750*a*c**3 + 3*a*c**2*d - a*c*d - 2*a*c - 86*a*d**3 + 2*c**3*d**3 + 2*c**3*d + c**2*d**3 + 2*c**2*d**2 wrt c.\nAnswer: 34500*a + 12*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12.7 - 84.7. Let j = d + 72.3. What is the third smallest value in -8, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 16 = 2*w - 4*w, -20 = 5*r. Let i be w\/6 - 13\/39. Suppose -2*c - 7 - 1 = 2*u, 3*c - 5*u + 12 = i. Let a(z) = 3*z + 3. Determine a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 1966775 = -7*p + 4*p, 4*y = -4*p - 2622380. Round p to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4880000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 119 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of 529*u**7\/35 + 3*u**4\/8 + 31*u**3\/6 - 31*u**2 - 41*u. Find the second derivative of c(x) wrt x.\nAnswer: 38088*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8983391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 206490 divided by -2?\nAnswer: -103245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/75*6\/(-9))\/((-2)\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 9*c**2 + 91*c + 377. What is a(-15)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p + 6. Let x(s) = -2*s + 7. Suppose -42 = -29*h + 43*h. Calculate h*o(n) + 2*x(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1662070 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 6*y + 2*y = -31, -3*n - 3*y + 33 = 0. What is the third derivative of 106*h**5 + 14*h**2 - n*h**5 + 19*h**5 wrt h?\nAnswer: 6720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 608335 divided by 455?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, -1\/4, -0.1, 105737, 0.2.\nAnswer: -1\/4, -0.1, 0.2, 4\/3, 105737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0046879007 to six decimal places.\nAnswer: 0.004688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -13*y - 5. Let x be n(-5). Let z = -1698 + 1713. Calculate the highest common factor of z and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 - -24. Let p = -5 + f. Let y(r) = -2*r + 20. Let w be y(p). Calculate the greatest common divisor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1120 and 329140.\nAnswer: 2633120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4295 = 8*w - 3359. Which is the second smallest value?  (a) w  (b) 5  (c) -4  (d) 0.1  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 570872 = 7*k. Let u = k + 83718. What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 6*s**2 - 7*s + 5. Suppose -19*k = -28*k - 24*k + 198. What is n(k)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33655091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 27, 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fgfppfigpffkffpf. Give prob of picking 2 f and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j - 2983 = -579*j + 4446 + 3771 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -46.6 + 47. What is the closest to -0.3 in i, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 59 in -2, 1\/3, 71100?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0.2  (b) -3\/10  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4.47714793 and -0.02333.\nAnswer: 4.45381793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 7*g**3 - 5*g**2 - 6*g + 6. Let t(x) = -6*x**3 + 4*x**2 + 5*x - 3. Determine -2*b(z) - 3*t(z).\nAnswer: 4*z**3 - 2*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 2, 2\/7, 0.4 in decreasing order.\nAnswer: 2, 0.4, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-19 + 17 - -17) + -18 + -63.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/31 in 32, -0.06, 1\/8, -1.2, 4, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -455*g + 111*g - 9318 + 9318.\nAnswer: -344*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**2 - 18*b + 9. Is z(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 21*f**2 + 42*f - 222. Calculate o(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/9))**(1\/15) assuming y is positive.\nAnswer: y**(-2\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 - 75d6a?\nAnswer: -75d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 276.0579 - 0.0579. Let k = -272 + a. Let i be -2 + 10*(-1)\/(-6). What is the nearest to i in 2\/7, k, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 + ((-24)\/18 + 1)*0. Let g(v) = -2*v - 12. What is g(w)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(245))**2 - sqrt(5)) + sqrt(5))*3.\nAnswer: 42*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - -3) + -4 - 14. Let l be ((-5)\/c)\/((-2)\/(-30)). Solve -u = -5*i - 6*u, l*i - 2*u = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - 2*z + 8. Let x(y) = 3*y + y - z*y + y. Let h(v) = 1 + v - 1. Give h(x(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17 and -2867?\nAnswer: -48739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6815*h*x**2 - 15*h*x + 2*h - 97*x wrt x?\nAnswer: 13630*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 76\/(-3)*(-3)\/(-2). Let c be 1*z\/(-2)*1. Let b(f) = f**3 - 16*f**2 + 11*f + 62. Let m be b(15). Solve -3*x + c = -2*p, -10 = -4*p - 4*x + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 4*a - 29. Let h(f) = 2*f**2 + 8*f + 57. Let p(b) = -4*h(b) - 9*o(b). What is the remainder when 65 is divided by p(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23687 by 5608.\nAnswer: 23687\/5608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1631.7+-9.484\nAnswer: 1622.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 9. Let r = 1 - u. Which is the biggest value?  (a) 1  (b) 1\/3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 712965117 to the nearest ten thousand.\nAnswer: 712970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 112, 107, 106, 115, 140, 187, 262?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-237*(-161)\/1577156)\/((-6)\/4)\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2*c - 42, 3*c - 4 = -q + 3. Let g be (-1)\/((q\/(-15))\/(4\/6)). Suppose -g = -4*a + 7. Solve 4*o - 6*o + 17 = 3*s, -a*o = 4*s - 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202 - 199 + 963 + 31*h**2 - 559.\nAnswer: 31*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 138.6886 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 + w**2 - 5*w**2)*(-w**3 + w**3 - w**3 + (0 + 0 - 2*w)*(-w**2 + 2*w - 2*w)).\nAnswer: -7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-1) + 1 - -53. Let f = p + -33. Let a be (3 + 4 - 8) + 168\/3. What is the greatest common divisor of a and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -133556 divided by 2\nAnswer: -66778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 125 + -125.000000124. Round k to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 11:33 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -23628 rounded to the nearest one hundred?\nAnswer: -23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*l**2 + 65*l**2 + 9*l**2 + 63*l**2 - l**2.\nAnswer: 206*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2618128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -84*d**3*i**3 + 2*d**3 + d**2*i**3 + 21*d**2*i wrt d.\nAnswer: -504*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/5 - (-40)\/25. Suppose -4*u - u + 65 = 0. Solve c*v + u = 5*t + 2, -t + 1 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.57 - 29.83. Let h = x + 28. Let q = 0.4 + h. Which is the nearest to -1?  (a) -2  (b) q  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101001011110000 (base 2) in base 16?\nAnswer: -d2f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 79.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -659 + -31474?\nAnswer: -32133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 21 - (2207 + -2181)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6686 is divided by 241.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179232 + 179262 = 3*u + 2*c, -3*c - 45 = -3*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*j + 35 = 101*j - 5*r, j = -0*j + 4*r + 28 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/36 and 149\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4035 - 175376?\nAnswer: -171341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 365 and 11?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 137a03?\nAnswer: -1379aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -17544350 >= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -1, 5, 2 in ascending order.\nAnswer: -17, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*h - 5*q = 343, 90 = -5*h + 214*q - 215*q + 51 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 15851*d - 38231*d + 19237*d in the form p + q*d and give q.\nAnswer: -3143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -268031 (base 10) to base 15\nAnswer: -5463b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24061 + -24060.737. Which is the closest to 6?  (a) -2  (b) -2\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5664452225.\nAnswer: 5, 226578089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-10))\/(26\/10). Let r = -2.94 + 3.04. Which is the third smallest value?  (a) z  (b) r  (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63335 (base 7) to base 8\nAnswer: -36370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/3128 and 11\/324820904.\nAnswer: 324820904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/1)\/(-3)*(-33)\/11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -201 - -205. Let g(t) = t**3 - t**2 - 11*t + 7. Let m be g(l). Solve 19 + m = 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put together -243135 and -0.1.\nAnswer: -243135.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 4 + (1 - 3) + -5 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/1 - 228\/(-171)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 172656 and 1956768?\nAnswer: 5870304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 4*z + 13, 4*w - w - 5*z + 11 = 0. Let j be 5\/12 - w\/(-12). Factor 0*r**2 + j*r**4 - 4\/3*r**3 + 4\/3*r - 2\/3.\nAnswer: 2*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 times 0.4199?\nAnswer: -0.020995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 5 - 7. Suppose -5*z + 2 = -3. Put -3, h, z in decreasing order.\nAnswer: z, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2632882 and 103334.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40355.231 + 40376. Let y = -21 + q. Round y to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 - 15. Calculate the least common multiple of z and 2*2\/4*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/5 - 18965554*x\/5 + 7586220.\nAnswer: 2*(x - 9482775)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-114)\/(-65) - (-28)\/182.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k + 21*k - 56. Let z(n) be the third derivative of 0*n**3 + 1\/30*n**5 + 0*n + 0*n**4 - 3*n**k + 0. Let r(s) = 3*s**2. Give z(r(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.06416565 to two dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 200 divide 560836919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 2*p**5\/45 + 7*p**4\/9 + 40*p**3\/9 + 50*p**2\/9 - 250*p\/9 + 29. Factor t(c).\nAnswer: 2*(c - 1)*(c + 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 105*i - 552. Calculate a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 9*p - 3353. What are the prime factors of p?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*h - 182\/5 + 2\/5*h**2.\nAnswer: 2*(h - 91)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12682253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (25 + -8)\/((-2465)\/(-58)). Suppose j - 1 - 4 = 0. What is the smallest value in -0.4, 3\/5, z, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*p**2 + 347*p**2 - 107*p**2.\nAnswer: 361*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (4 + -2 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10797 less than -326292?\nAnswer: -315495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)*-2*3)\/(sqrt(11) + sqrt(11) + sqrt(176)\/sqrt(4)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 44*x**3 + 368*x**2 - 28*x + 14. Let g(s) = 16*s**3 + 123*s**2 - 10*s + 5. Determine 14*g(u) - 5*w(u).\nAnswer: 4*u**3 - 118*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1120?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3))**49\/(((w**(2\/3)\/w)\/w)\/w*w)**40)**10 assuming w is positive.\nAnswer: w**(-2810\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -7*h**3 - 53*h**2 - 23*h + 77. Let y(t) = -4*t**3 - 27*t**2 - 12*t + 42. What is -6*v(m) + 11*y(m)?\nAnswer: -2*m**3 + 21*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/10)\/(20*(-28)\/350).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51914819 or -51914823?\nAnswer: -51914823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1 + sqrt(13) + (0 + sqrt(13))*-6.\nAnswer: -5*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**23\/n*n**(-3\/10))\/(n*n\/n**10*n)**(-45))**(1\/2) assuming n is positive.\nAnswer: n**(-2933\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18.74 - 18.4226. Let i = u - 0.0374. Is -0.06 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/3)\/(24\/306))\/((-95)\/(-19)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.63 - 1.83. Let w = 34 - 39. Which is the second biggest value?  (a) 1  (b) g  (c) -0.3  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 22*a**2 + 2*a. Let t(k) = -44*k**2 - 3*k - 3. Give 3*t(d) + 5*z(d).\nAnswer: -22*d**2 + d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, w: 9, d: 6}. Give prob of picking 2 d and 1 w.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 116524786 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -148406, -148499, -148580, -148649, -148706?\n\"Answer: 6*g**2 - 111*g - 148301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 6*p + 1. Let n(d) = -1. Determine n(i) + v(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330007875.\nAnswer: 3, 5, 880021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 21*q + 60 = 0. Let v(h) = -h**2 + 6*h + 8. Let t be v(7). Suppose 1 = k - t. Solve q*z = k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j**2 + 13*j + 135. Determine f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 19162 + 18912 = -9*h, -2*h = -6*l + 364 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/4 of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 t when four letters picked without replacement from {t: 7, s: 9}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, h: 4, f: 12}. Give prob of sequence hhfv.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12, 135, 340, 627, 996, 1447?\n\"Answer: 41*d**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*c - 26 + 16 - 267*c**2 + 49*c + 12 to j + o*c + f*c**2 and give f.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1287951877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8066826 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 431314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 - (-49 + (-18 - 0)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300)\/(sqrt(10)*2))\/(sqrt(1440) + sqrt(1440)*1).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + n + 6455 = 0, -47*n = 4*j - 44*n - 6459. Calculate the remainder when j is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16272 divided by -6.\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z - 1 + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 232 - 53. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.634523 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - p**3 - 4*p**4 - 2*p**2 + 7*p**4 to v*p**3 + m*p + d*p**4 + j*p**2 + c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1425 (base 8) to base 9\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -70376 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, t: 1, e: 1}. Give prob of sequence be.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 76047, 76004, 75961, 75918, 75875, 75832?\n\"Answer: -43*u + 76090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d - 10. Let b be y(7). Let j be (-2 - b)\/((-2)\/58). Let x = j + 54. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 0.4, -0.02, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*n**2 + 1)*(2*n + 1 - 1)*(-n**2 + 0 + 0).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n**3 - 329*n**2 - 109*n + 224. Let y be g(110). Which is smaller: 2346\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23977946 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 36, 31, 24, 15, 4, -9?\n\"Answer: -p**2 - 2*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -24?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1baa7 - 20a?\nAnswer: 1b899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 552 = -547. Let r = q + -50. Let b = r - 62. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**0)\/((z**(8\/7)\/z)\/z)*z**21\/z*z*z**8*z*z)**(16\/5) assuming z is positive.\nAnswer: z**(736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.13 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*(-26 + 26 - 6*g**2) - 4*g**2 + 0*g**2 + 5*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/3))**37 assuming c is positive.\nAnswer: c**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**2 - 3*j**3 - 178 + 85 + j + 91 in the form c*j**3 + w + k*j + r*j**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 535.67118 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204759237 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*u + 0 - 6*u - 54 + u**2 in the form b*u + s + q*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7975 in 2, -64, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b = 23*b - 125 - 1450 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/2 - 85\/(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5064 + -254?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (133 - 165 + 85 + (-4 + 2 + 3)*(-3 - 3 + 4) - 6 + 3 + 4)*(3*q**5 - 6*q + 3*q**5 + q).\nAnswer: 312*q**5 - 260*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5\/309 - -40813\/1545. Which is smaller: b or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*r**4 - 20210224*r**3 - 4*r**2 - 823156946*r?\nAnswer: 48*r**2 - 121261344*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 - 172. What are the prime factors of 7\/(g\/(-8))*45?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 36757 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 10014.8, -1, 5, 1\/2 in increasing order.\nAnswer: -13, -1, 1\/2, 5, 10014.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-39) - (-284)\/13. Let u = q - 17. Solve 0 = l + 4*i - 3, 4*l - u*i = l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 20528.\nAnswer: -3\/10264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4353*y + 53051 + 73186 = 0 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*v - 34 + 96 = 0, -5*v = 2*k - 189. Suppose 9*h - 116 - k = 0. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 y when three letters picked without replacement from iiitgwgtiigdiiiiigiy.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 3*x**2 - 2*x - 2. Let f be k(-2). Let a be -1 - (0 + -11 - f). Let u = 4330 + -4282. What is the greatest common divisor of u and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -n**4\/2 - 3*n**3 - 2*n**2 + 7*n + 105. Let o(h) = 5*h**3 + 26*h**2 + 11*h - 20. Calculate 11*k(b) + 4*o(b).\nAnswer: -2*b**3 + 5*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -o - 2083 + 12110, 2*o - 20098 = -r. Suppose -s - o = -4*s. Suppose 0 = 2*h - 3*f - 2128, 3*h = f + s - 164. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89998329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 17*l + 134. Let t be p(-10). Let r be 1\/2 + t\/(-24). Factor -2\/3*m**r + 2\/3 + m.\nAnswer: -(m - 2)*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/24 + -7\/72. Let j = -23 + 25. Let u be (0 - j) + 6 - (1 + 3). Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3074123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 686954 is divided by 1935.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 12*s - 22. Let u be d(10). Let x be 132\/8*(4\/(-3))\/u. Let k(n) = -n**2 + 9*n + 27. Let h be k(x). Solve -5*w + 0*w = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18837 divided by 3?\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -132.83 + 6787\nAnswer: 6654.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 135 - 127. Suppose m*q - 769 = 5463. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/5 and 101\/13632.\nAnswer: 68160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/8*2*(-44)\/(110\/10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 158 and 28?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488508?\nAnswer: 2, 3, 40709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 720 and 576630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -0.5, 1\/9, 3, -1.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 1) + 2*-1. Let y be ((-3)\/4)\/(2\/(-8)). Let k be 0 + (2 - 8 - -3) - (-342 + 342). Sort k, y, v in increasing order.\nAnswer: k, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -20 + 19 - (17 - (-2 + 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/7)\/v**(1\/5))\/(((v**(-1)*v)\/v)\/((v**(5\/6)*v*v)\/v))*(v**(-2\/3))**(20\/9)*v*v*v**1\/v*v*((v*v**(-2\/17))\/v)\/v assuming v is positive.\nAnswer: v**(106669\/32130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 1 = d. Suppose -6*x + 5*x = -d. Solve -1 = -q + x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.4, 0.3, 0, -4, 17228 in decreasing order.\nAnswer: 17228, 5, 0.3, 0, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -414.999999992 + 415. What is g rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47894 is divided by 7942.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 39*p**2 + 983*p + 14. Let w be t(-27). What is the highest common factor of 357 and w?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10272423 (base 9) to base 10.\nAnswer: -4948797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -194, 14, 0, 5.\nAnswer: -194, -1, 0, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.6 take away -742?\nAnswer: 754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d + 9*d - 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4, a: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22809*l**2 + l*s - 3880*s + 5 wrt l.\nAnswer: 45618*l + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 53 + 247?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 4*m + 112, 3*m - 37 + 4 = k. Let w = -141\/4 - k. Suppose -2 = -6*g + 4*g. Is g greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*19\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*m - 8181 + 24197. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.51, -2\/3, -100.251?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 693109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17077, 34159, 51241, 68323, 85405, 102487?\n\"Answer: 17082*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 760*s**3 - s**2 + 5*s - 4. Let f be u(2). Suppose 0 = -15*j + f - 1582. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1289 + 2221. Round j to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 14*s + 44. Let f(g) = 8*g + 40. What is -5*f(m) + 4*x(m)?\nAnswer: 16*m - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -14*y + 7*y + 36 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 7 = 4*c, 5*c - 3*l + 14 - 13 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109624 is divided by 4764?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7144797?\nAnswer: 3, 11, 216509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -50 - -121. Let x = -108 + k. Is 3 a factor of 2 - 1 - x - (-4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4439?\nAnswer: 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010019 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 364672293 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in 324, 5, -145, 2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -23. Let h = -16.17 + a. Let f = h - -0.17000042. What is f rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2767524 and 50100?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 19*k**2 - 112*k**2 + 28*k**2 - 10*k + (2 - 2 - 11*k)*(-2*k + 5*k - 2*k) in the form a*k**2 + h*k + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 429 = -5*a + 999. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 9*f**2 - 24*f - 31. Let z be d(-2). Let a(n) = 4*n**2 + 9*n + 2. Let x(s) = -2*s**2 - 5*s - 1. Give z*x(k) - 6*a(k).\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -309267.47 to the nearest 1000.\nAnswer: -309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 441*i + 4781. List the prime factors of b(15).\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 24 = 10*m. Suppose m = 3*h + h. Determine u so that -17*u**4 + 16*u**4 + u**2 - 5*u + u**h + 0*u**3 + 4*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1088 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 243366.\nAnswer: 2, 3, 47, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one third of a day in seconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-2))\/(19\/(3135\/(-60))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 2*y + 15. Let o(n) be the first derivative of -n**3\/3 - 3*n**2 - 2*n + 10. Let l be o(y). Solve -2*t = -5*q - 12 + l, 0 = 4*q - 3*t + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 72 + -57. Let g(z) = -z**3 + 15*z**2 + 2*z - 7. Let a be g(p). Find the first derivative of -24*u**3 + 90*u**3 - 31*u**3 - a*u**3 + 40 wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -644980 divided by 18428?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 5*h, 4976 = 4*x - 5*x - 3*x + 3*h + 4972 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 753696 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(85)*-4 + sqrt(85))\/(2*sqrt(125)).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 867*u**4 + 918306*u**3 + 246807507*u**2 + 1930603320*u + 3832042800.\nAnswer: 3*(u + 4)**2*(17*u + 8935)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -62 - -136. Suppose -p = -h + 81. Let t(r) = r**2 + 6*r + 3. What is t(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/253361 and 74\/9?\nAnswer: 2280249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 170*m - 166*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/117 - 16\/72?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-807)\/5649*42\/(-4)*(-125)\/(-15)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 21 + 6 = 0. Suppose 4*v + 82 - 358 = -o*n, 2*n - 4*v = 88. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 5*c**2 + 7*c + 3. Give n(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41 - 43*t**3 + 55*t**3 - 5*t**2 - 23 - 20 - 83*t**3 to the form p + l*t**3 + k*t**2 + u*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-76)\/(-627)*57\/(-152)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/1296 and 14 - (-175)\/(-14) - 547\/360.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25177479*2.1.\nAnswer: -52872705.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*20\/160*52 - 31?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(15\/((-1680)\/(-32))) - -13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 692 + -659. What is the remainder when 37 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/(-3) - (256\/(-24))\/8. What is the nearest to -1\/3 in 2, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 96 - 14 = 0. Let z = -26 + f. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 + 69*g + 13. Let l(y) = 5*y - 1. Let o(c) = 3*c + 8. Let h(j) = 4*l(j) + o(j). What is -7*h(w) + 2*z(w)?\nAnswer: 2*w**2 - 23*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 3481.958274 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 6*n**3 - 5*n**2 - 37*n + 6. Let c(u) = u**3 + u**2 - u + 1. Let v(x) = -5*c(x) + s(x). What is the tens digit of v(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -1192*z - 53. Let b be r(-2). Suppose 3*o + 3*l = b, -o + 544 = 4*l - 236. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100984 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 687 and ((-9)\/6)\/(4\/(-22) + 4632\/26928).\nAnswer: 35037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7552 divided by 5.\nAnswer: 7552\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1 - ((-6 - -3) + 4)) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.063 + 3.0161. Round z to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - 0. Suppose -5*f + 4*k + 281 = g, -3*f + 163 = 2*k - 3*k. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -63. Let s be (-750)\/(-20) - 1\/(4 + -2). Let q = p + s. Solve -2*w - 4 = -3*x + 5*x, -4*x - 24 = -q*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 507 = k + 2*v, 4*v = -0*k - k + 505. Let z = k - 216. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -703*g - 1 + 241*g + 228*g + 234*g - 6164*g**3.\nAnswer: -6164*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 805074 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11 + 37 - w**2 + 81 + 91*w**3 + 4*w**2 wrt w.\nAnswer: 273*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1118604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-5) + 207\/45. Determine y so that y**3 - 6*y**3 - 6*y**3 + 25*y**4 + 35*y - 10*y**2 - 15 - 19*y**3 - 5*y**u = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5135302 + -4?\nAnswer: 5135254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - y + 76*y**3 - y - 3*y**2 + 4*y**2 - 78*y**3 in the form n*y**3 + i*y**2 + a*y + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 133377 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1116 divide 17747213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 43626 (base 7) in base 16?\nAnswer: 2ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -31, -5, 3, 208?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 402 and 21?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 793043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/((-64)\/30)*(-15)\/(-50). Let x(p) be the first derivative of m*p + 3\/4*p**2 + 1\/8*p**3 + 21. Find f, given that x(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 209798.22 months to years.\nAnswer: 17483.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 PM and 4:15 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.055 - 0.355. Which is the nearest to -1?  (a) -5  (b) -2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/7, 6\/13, 0, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b = 0. Solve 0*p = 4*f + 5*p - 13, b = 5*f - 5*p - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbh when three letters picked without replacement from {h: 8, b: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10210 + -1000?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/20 + -7\/20. Let a(c) = -2*c**3 - 4*c**2 - 5*c - 6. Let f be a(-2). Sort 7\/4, q, f in ascending order.\nAnswer: q, 7\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 62\/7 and 10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 297 a factor of 113563515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2475194 rounded to 4 dps?\nAnswer: -0.2475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 0.5. Let s = 15 - 10. Let l = s - 8. Sort l, 4\/3, y in descending order.\nAnswer: 4\/3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 589 - 359. Let h(o) = -230*o - o**2 + m*o. Let f(c) = -14*c + 3*c - 4*c. What is f(h(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (1*sqrt(2))**2 + (sqrt(30)\/sqrt(3))\/sqrt(5).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.51 - -996745\nAnswer: 996745.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 122*f. Let c(w) = -37*w. Let i(u) = -10*c(u) - 3*j(u). Let z(o) be the third derivative of -o**5\/30 - 8*o**2. What is z(i(a))?\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 71*l + 257. List the prime factors of f(8).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -2.5  (b) 0.01  (c) 3\/11  (d) 0.39  (e) 1\/6  (f) -1\/3  (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 745 - 113. Is 20 a factor of ((-12)\/24)\/(2\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 970288997 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7*16\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12214315 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 6*o = -c - 5, 26 = 3*o + 4*c. Suppose o*w = -2*s + 12, 0*s + 4*w - 18 = -2*s. List the prime factors of 24*(s + 27\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1*(-154)\/(-2)*1 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64\/(48\/6)*54\/36\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 23*f**2 - 6. Let u(v) be the third derivative of v**4\/6 - 820*v**2. Give u(h(a)).\nAnswer: 92*a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -150573556 divided by -4\nAnswer: 37643389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 254*w - 266*w + 2328. List the prime factors of w.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664.812ng in micrograms?\nAnswer: 0.664812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1)*x\/(x*x**(2\/3))*x*x*x*x\/(x\/(x**(-2\/3)*x))*x*x**(-3\/8)\/x*x*x)\/(x**(-2\/3)\/x**(-4)*(x**1)**(-13\/6)) assuming x is positive.\nAnswer: x**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -k**4\/2 - 32*k**3\/3 - 5*k**2\/2 - 56*k + 89. Calculate the smallest common multiple of o(-17) and 4.\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5231.\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwwd when four letters picked without replacement from oooddwousddkwswos.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -231*v. Let z(q) = 107*q**2 + 5*q. Give z(w(r)).\nAnswer: 5709627*r**2 - 1155*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34851750 divided by -93.\nAnswer: -374750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 - (-14 + 3 - (-19 + -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 + 363 = -416*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2548 and 82096?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + 4*n**2 + n - 2. Let k be b(4). Suppose 4*i - k = 86. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2\/7  (b) 0.14  (c) 1  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 - 5*c**2 + 4*c + 3. Let m be p(4). Let h = 5 - m. Let r be (0\/(-10))\/(-4 + 1 + 1). Sort h, 5, r in increasing order.\nAnswer: r, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 75*w**2 + 695*w + 45949. What is j(-74)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6c (base 15) in base 13?\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -4938560 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3149*2.1\nAnswer: -6612.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*1029.9836.\nAnswer: 14419.7704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -162.1 - -160.1. Which is the third biggest value?  (a) -184  (b) 3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(1 + (-16)\/18). Let d(x) = -150616*x**2 - 13*x + 13. Let v be d(j). What is v rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -5, 835 in increasing order.\nAnswer: -5, -1, 1, 835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11435.\nAnswer: 5, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 5*s + 35 = 0, 5*b + 2*s + 2066 = 2045 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than 0.01764?\nAnswer: -0.08236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5 + 11 = 0. Let y be 28\/286*5 + w\/(-22). Determine m, given that -2\/13*m**4 + 6\/13*m**2 - y - 2\/13*m + 2\/13*m**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 106208 by -26552.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/(-28) - 15\/315*-114. Let g(w) = -w**3 - 6*w**2 - 5*w + 2. Let b be g(-6). Let q = -15 + b. Solve 5*n + q = -4*i, -n + t*i + 13 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.267531 rounded to 2 dps?\nAnswer: -2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(408)\/sqrt(1452))\/sqrt(2).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = 1040 + 196. Solve t = 3*c + 197 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - 5*a + 4*a)*(4 - 4 + 11*a)*(1 - 3 + 1).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3400727957?\nAnswer: 11, 17, 18185711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2271713002 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/7 + (-780)\/(-182). Calculate the highest common factor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - o**2 + o - 2. Let v be z(-2). Let k(s) = -3*s**2 + 50*s - 53. Let t be k(15). Suppose 6 - 94 = t*b. Sort 5, v, -1, b in ascending order.\nAnswer: b, -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7050.028nm to millimeters.\nAnswer: 0.007050028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3305024 and 7345?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12 and -14.182593.\nAnswer: 170.191116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by 202?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006482643 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 621*l - 354. Determine z(2).\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3 = -0. What are the prime factors of 24*1\/h*3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 10*a**2 + 5*a - 1. Let i be h(-4). Suppose 0 = 3*k - 175 + i. Calculate the lowest common multiple of 54 and k.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2435*a + 2343*a + 5018*a + 1789*a.\nAnswer: 11585*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -121  (c) 1\/9  (d) 0.3  (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)*-4 - sqrt(18)\/(4*sqrt(9))) + 1 + ((sqrt(18) - 2*sqrt(18))*-3 - sqrt(18)))**2.\nAnswer: -73*sqrt(2)\/2 + 5337\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + 4*a - 10. Let n(m) = -m**2 - m. Let u(g) = 2*n(g) - x(g). Let q be u(-7). Factor -2*k**3 + 0*k**3 - 3*k**4 + 4*k**2 + k**q + k - k**2.\nAnswer: -k*(k - 1)*(k + 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/5)\/((-2)\/(-200)). Suppose -2*h - 37 = -3*v, -5*v = 2*h - h - i. Suppose -4*l + l + 4*z = -39, 3*z + v = 0. Solve -l = w + 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (3 - (-1 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sslollsoolo. What is prob of sequence lls?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 18040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 71549*s - 11. Let t be i(-8). Let w = t + 403403. What is w rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 109 and 85750627.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(7\/2)\/(-7). What is the highest common divisor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 14 = -b + 3*y, -3*b + y + 26 = 0. Suppose 0 = -3*p - p + b. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*f = 90*f - 232*f - 874 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51\/67169 or 1?\nAnswer: 51\/67169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + (-6 - 3 - -16) - (-49 - -30).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 74.92 + -74.62. What is the second biggest value in -2, s, -0.24, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 1459*y**3 + 4*y**2 - 24*y - 5. Let l(h) = -1459*h**3 - 5*h**2 + 30*h + 6. Give 5*b(f) + 4*l(f).\nAnswer: 1459*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and (-1*(-246)\/(-5))\/(8\/(-40))?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*w - 10*w + w + (1 + 2*w - 1)*(-60 + 10 + 189) to the form i*w + k and give i.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 14 = -3*w. Let l = w - 3. What is the second biggest value in l, 4, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-18) + 0 + ((-232128)\/(-162))\/52.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -66\/571 + -22286\/24553. Let s = j - -928\/1075. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 73 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 3*t - 6*j - 3, -3*t - 9 = 3*j. Let m = t + 3. Let p(x) = 2*x**2 - 5*x + 2. Let h be p(3). Solve m*z - h*z - 6 = 0, -3*z = l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -36\/4577 and -34\/1117.\nAnswer: 5112509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*x**5 - 10*x**4 - 169*x**2.\nAnswer: -360*x**2 - 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1383.456564s to weeks.\nAnswer: 0.00228746125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8959, 33257, 72875, 127813?\n\"Answer: 7660*h**2 + 1318*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -59799 or -59801?\nAnswer: -59799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*f + 6*f = 381*m - 22 - 845, f - 37 = -8*m - 0*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 6*p + 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 29. Let a(w) = 2 + 4*w + 24 - 95 + 36. Let j be a(n). What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2738210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(440\/(-24))*(-3 - 17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/10 - (-1 - -3))\/(90\/50)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j - 1. Let m(n) be the second derivative of 2*n**3\/3 + 23*n**2\/2 + 295*n - 2. Determine m(q) - 5*r(q).\nAnswer: -q + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116041?\nAnswer: 116041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 200.999532 + -201. Round o to five decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxyxxx?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1333\/65 + -277\/13. Let p = 2.06 + -0.06. Which is the third smallest value?  (a) p  (b) 5  (c) o  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*x**2 + 13*x**3 - 13*x**2 - 13*x**2.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10254 by -181.\nAnswer: 10254\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 201*p**3 + 2*p + 2. Let h be s(-1). Let a = 204 + h. Solve 0 = -4*l + a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c*m**3 + 315434342*c*m + 3*m**3 - 66850704*m**2 wrt m.\nAnswer: -12*c*m + 18*m - 133701408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t + 3*t + 12*t**2 - 4*t - 4*t.\nAnswer: 12*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 138160.9.\nAnswer: 138161.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 4*m - 38. Suppose 5*j + o + m = 9*j, 0 = -3*j - o + 8. Let 1\/7*c**j + 16\/7 - 8\/7*c = 0. Calculate c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 24. Let f(q) be the second derivative of -q**4\/12 - q**3\/2 + 4*q**2 + 246*q. Determine f(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 41*v - 640. Give j(28).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-224367)\/(-39) - (2 + -3). Suppose 9*z + q = 15*z. Does 70 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**2 + 2376*r + 705672 = 0. Calculate r.\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -304 - -300. Sort 0.1, b, -1\/6 in decreasing order.\nAnswer: 0.1, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 11:52 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 = -5*f + 175. Suppose k + f = 5*z + 4*k, -17 = -z - k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47*d + 587 - 775 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -49563*i**2*t + 956*i**2 - i*t - 3*i wrt t.\nAnswer: -49563*i**2 - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/4*(-67)\/((-1742)\/156)*(-2911)\/(-123).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9816.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.06, -1\/5, 7.2, -11\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 4560862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 96*d + 34. Is g(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 8*c - 30. Calculate the remainder when 67 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 0*h = -585. Let j be (-2)\/(-5) + 68\/h. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9120578 and 33632.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*l - 146783 = -47791. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/55 + (-8148)\/693*9\/(-6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((173016\/(-81))\/(-12))\/(-2)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k + 26. Let s be q(18). Let w(r) = r**3 - 8*r**2 + 3. Let d be w(s). Let m be (-4 + 8)\/(1\/(-1)). Which is the nearest to 2\/5?  (a) m  (b) d  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6110 and 1690.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-1 + 0) + 5 + 0. Let w be 90\/(-12)*(-28)\/g - 2. Let o be 4\/(-14) + w\/(-7) + -2. Is -7 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j. Let h(i) = i**2 - 9*i - 8. Let n(m) = h(m) - 2*z(m). Solve n(p) = 0 for p.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-4)*(-40)\/5. Suppose 104 = l*t - 8*t. Let r = -12 - t. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -2  (c) 0.42  (d) -4  (e) -2\/9  (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -19, -32, -45?\n\"Answer: -13*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -15*c - 19. Let i(x) = x - 1. Let g(s) = -4*i(s) + y(s). List the prime factors of g(-7).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 113, 1329, -2.\nAnswer: -2, -1, 113, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 - -224775)*(5\/6 - (-5)\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14 or -0.001?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2168519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*m - m - 14, 3*j - 6 = 0. Suppose -u + 20 = 4*s, -m*u + 2*s + 3 = -1. What is the units digit of (-3)\/((3\/u)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3609036, -1, 6.\nAnswer: -1, 6, 3609036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -18432 > 8.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1600\/(-12)*5895\/(-6). What is u rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 18*b**3 - 4. Let k(w) = 23*w**3 - 7*w**2 + 14*w + 2. Let y(t) = 13*t**3 - 4*t**2 + 8*t + 1. Let g(p) = 4*k(p) - 7*y(p). What is -4*g(c) - i(c)?\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 109, -2, 2, 5, 4.\nAnswer: -2, 2, 4, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -7. Let a be (5\/2)\/(13\/26). Suppose 4*u + 24 = -a*m, -m = -5*m - 16. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - 26 - -84 - (12 + 0) - (65 - 1).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1473803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12.6 - 13.1. Let s = 6 - 5. Which is the second smallest value?  (a) -0.4  (b) s  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 37 = 30. Sort -2, 4, -4, i in decreasing order.\nAnswer: 4, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - 1. Let r be ((-45)\/z)\/(1 - 0). Suppose -c - 2*c = -r. Solve m - c = -0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 6*g + 1. Let h be i(-1). Let k(z) = -2*z - 7. Let b(l) = -12*l + 2*l - 6 + 8*l. Calculate h*b(o) + 4*k(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -357 (base 8) to base 7.\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 103 and -143.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*f = -564 + 88 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*r**3 - 950*r**2 + 950*r**2.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 13*l**6\/3 - 5*l**3\/3 - 4*l**2 - 12*l - 143. Find the second derivative of p(c) wrt c.\nAnswer: 520*c**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30885359951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t\/(t\/((t*t**(-6))\/t)))*t**(-7)\/t*((t\/(t\/(t*t*t**(-1\/2)\/t*t)*t))\/t)**(-46) assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -8. Let z = 5.1 + w. Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from lioze?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -17*(10 + 3) + -2. Let f = v + 142. Let l = f + 114. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6624, -11765, -15392, -17505?\nAnswer: -18104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -4*w - 13. Let f(g) = -g. Let x(t) = f(t) - p(t). Let l be x(-3). Suppose -12 - 6 = -a + 5*s, a - l*s = 14. Put 4, -3, a in increasing order.\nAnswer: -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -a**3\/2 - 3*a. Let q be d(1). Let c = q + 10. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 3*i**3 + 4*i**2 - 17*i + 9. Let z be j(4). Suppose 2*t - z = -3*a, -12*t + 15*t - 5*a - 343 = 0. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2037, -2047, -2063, -2085, -2113?\nAnswer: -2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 24.9 and 1.9?\nAnswer: 47.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 286 = -2*c, 291 = 2*c - 6*h + h. Calculate the highest common factor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -881, 83, -749 in decreasing order.\nAnswer: 83, -749, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*k + 23 = 0, v + 8 = -4*k - 3. Does 7 divide -1*((-6 - -2) + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 13, 152, 549, 1342, 2669, 4668?\n\"Answer: 23*n**3 - 9*n**2 + 5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = 2*d - 7*k - 6, k - 611 = -613 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/((z**(-6)*z)\/z))\/z*(z\/z**(-3\/5))\/z*z*z)\/(z**0)**43)\/(((z*z*z**(-2\/3))\/z)**(5\/8))**(-19) assuming z is positive.\nAnswer: z**(1627\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-15)\/(-5))\/6)\/((-3)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -27.5, -2\/5, 13?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 + 18*j + 53. Let h be g(-4). Suppose -h*t + 68 = -9*t. What is the least common multiple of 1 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1542*g - 6*o - 23 = 1540*g - o, 0 = 2*g + 6*o + 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**2 - 7*q + 23. Let v be n(10). Suppose 5*l = 3*b + 8 + v, -b - 157 = -5*l. What is the remainder when 123 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 20 = 2*q, 8*f = 4*f - 8. Let a(t) = 2*t**3 - 5*t**2 - 9 - t - t**3 + 3*t. What is the units digit of a(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {f: 2, o: 3, h: 1, m: 1, c: 4, l: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 4*k + 76, -47 = -2*y + 5*k - 0*k. Let t = y - 19. What is the tens digit of (-3)\/2*64\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107643891.\nAnswer: 3, 35881297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-4)*(-8)\/(-6). Let p = -261 + 263. Suppose r*s - 375 = 5*z, p*s - 2*z + 183 = 3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -38, -224, 1187, 3, -3.\nAnswer: -224, -38, -5, -3, 3, 1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*g - 419 = -36*g + 145. Solve 0*l - 40 = g*l - 5*r, 2*l - r = -14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.3 - 4.3. Let m = -4.7 + 4.3. What is the second biggest value in -2\/7, m, -6, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i - i + 13*i)*(2*i + 0*i + 0*i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 9:39 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of d**6\/120 + d**5\/60 + d**3\/3 - d**2 + 27. Let a = 1 - 1. List the prime factors of u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 + 8*a + 6. Let z be h(-7). Let m be (-6 - 270)\/(z\/(8\/6)). Let i = 45 + m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 56 - 85. Let b = 66223\/10650 - -27\/1775. Find the common denominator of b and (q\/12)\/((-10)\/8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 9:35 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*b + 3*b + b)*(4*b**2 - 2*b**2 + b**2) - 4*b**3 + 0*b**3 + 5*b**3 + 2*b**3 - 4*b**3 + 3*b**3)*(2*b + b - b)*(-3 + 4 - 3).\nAnswer: -80*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5185?\nAnswer: 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211470?\nAnswer: 2, 3, 5, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*a + 2. Calculate the highest common factor of 24 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(10)*-6)\/sqrt(5).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -v**4\/16 - 13*v**3\/3 + 195. Solve p(l) = 0 for l.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -45e - 15?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 481 a factor of 75705075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d05 (base 16) to base 12.\nAnswer: -1b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 87984 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (333\/18)\/(1\/8)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + 21 + (-16 - (1 - -3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34372415 is divided by 2644031?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 945 and 15422211.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.4 - -9.402. Let f = y + -0.00200033. Round f to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y**(-20)\/y))**(-10\/13)*y**(-22)\/y*y**(-11) assuming y is positive.\nAnswer: y**(-672\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i + 2. Let u(p) = p + 1. Let w(k) = 2*d(k) - 5*u(k). Let o be 1 - (7 + 1)\/(-2). Determine w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 1\/60, -1\/3, 5, 2?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -19*s**2\/2 + 10. Let y(w) = 2*w. Give q(y(f)).\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y = 4*y - 16. Let b = 5 + y. Sort b, 4, 3.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 732, 3518, 11078, 25800, 50072, 86282, 136818, 204068?\n\"Answer: 398*g**3 - g**2 + 3*g + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 12. Is ((-26)\/3)\/(2\/s) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3772 times 3?\nAnswer: -11316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1573) + -5 + sqrt(1573) + sqrt(1573) - (sqrt(1573) + 3 + -1))**2.\nAnswer: -396*sqrt(13) + 6373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1786, -7263, -16390, -29167, -45594?\n\"Answer: -1825*a**2 - 2*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 545871\/8 - 67725. Let k = g + -513. Let n = -141\/8 + 18. Find the common denominator of k and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**3 + 0 - 1\/12*t**4 - 150*t - 5\/2*t**2. Factor f(x).\nAnswer: -(x - 5)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 5696?\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1514 - -745. Let t = -769.0399 - b. Round t to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/8)\/((3\/24)\/((-39)\/312)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 1)*3\/(-6). Let j(r) be the first derivative of -r**4\/4 + r**3\/3 - r**2\/2 + 22*r - 4. List the prime factors of j(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4583)\/22 - (-8)\/(-16). Suppose 0 = -3*b + 2*l - 617, b - 2*l + 212 = 13. Let x = k - b. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 - 29161633464?\nAnswer: -29161633411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -q*v**4 - 27*q*v**3 + 3*q*v + 2*v**2 + 30 wrt v?\nAnswer: -12*q*v**2 - 162*q*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + 8*b**2 + 8*b + 13. Let k be (-224)\/48*(-6)\/(-4). Let a be v(k). Suppose -q - 22 + 24 = 0. What is the highest common factor of a and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1859689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**3 - 4*p**3 - 2*p**3 + 37*p - 31*p to u*p**3 + g*p + w*p**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 4*f + 90 = 188 - 97, 5*f = 8*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -101 + 104. Solve 2*u - 20 = -2*d - n*d, 2*u - 6 = 2*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.93966778 rounded to four decimal places?\nAnswer: -0.9397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + -5*(2 + sqrt(108) - sqrt(108)))**2 + -1 + -2*(sqrt(147)*2 + 1)**2.\nAnswer: -971 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/30*(-300)\/250*-145.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -140 * 0.638.\nAnswer: -89.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 2252352801.\nAnswer: 2252352805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 17, a: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 + 19.41. Let i be (-1)\/((-12 - -20)\/(-56)*-7). Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*u + 4*u - 3)*(12*u + 7*u - 5*u).\nAnswer: 28*u**2 - 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/8*-6 - -2. Let l(w) = -4*w + 0 - 2 + j*w. Determine l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 6:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 5, -0.09, 0.3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -822 - 274. Let a = k - -1095.9998198. What is a rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 8:44 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -10 + (-17 - -8) + -16 + 3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -377\/211620 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -d**4\/24 + 6*d**2. Let t(c) = 2*c**2. Calculate j(t(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kjwjykx. Give prob of picking 1 x, 1 k, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2759*s**2 - 2762*s**2 + 5516*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -229472 divided by 28684.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*i = 0. Suppose i = 5*k + 2*t - 4, 2*t - 7*t = -5*k - 10. Let u(y) = 5*y**3 - 1 - 5*y**3 + y - 4*y**3 + 5*y**3. What is u(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17831388 + 9008*l + 17831388 to the form i + w*l and give w.\nAnswer: 9008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -69*i**2 + 2. Let a(t) = -4*t**2 + t - 1. Let j(u) = 12*u**2 - 2*u + 2. Let h(k) = -2*a(k) - j(k). What is h(x(w))?\nAnswer: -19044*w**4 + 1104*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of z**4\/4 + 8*z**3\/3 + z**2\/2 + 12*z + 1. Suppose 2*m - 10 - 2 = 2*j, m = 5*j + 38. Let u be a(j). Solve 0*x = x + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3460 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 9*i**2 - 9*i + 8. Let o be q(8). Suppose o = 4*f + f + 565. Let n = f - -228. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 20 = 0, 0*r - 70 = -r - 5*n. Suppose -244*d = -243*d - r. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 10 = 0, 3*f + 12 = 2*b + f. Solve -3*d = -3*p + b*p - 8, 2*p = 2*d - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -40940, -40939, -40938, -40937, -40936?\n\"Answer: x - 40941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**2\/2 + 4483*p - 20097289\/2 = 0?\nAnswer: 4483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1215427983 a multiple of 547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2*-1*0. Let t be 16\/2 - (m - -2). Suppose 0*y + 2*y = t. Calculate the remainder when 9 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of 9*w**5\/10 - w**3\/6 - w**2 + 1. Let s(b) be the second derivative of f(b). Does 18 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4320653 is divided by 507.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002792 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 16*b**2 + 3. Let i be y(-16). Let x be (i + -4)\/(3\/(-6)). Solve 20 = -3*o + 4*j, 8 = -2*o + x*j - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21724205?\nAnswer: 5, 4344841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -549327*x**3 - 2243505*x**2?\nAnswer: -3295962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9976 is divided by 587?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-3*(sqrt(256)*-1 + sqrt(256)))\/(sqrt(72)*1)*2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -255462919*k. Let j(i) = -i**2. What is j(c(p))?\nAnswer: -65261302984000561*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of 4*i**3\/3 + i**2 - 2*i + 28. Let x be -4 - -3 - (1 - 0). Determine h(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-5))**(3\/14) assuming z is positive.\nAnswer: z**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-9) - (168236\/36 - 4). Let o = -2512 - x. Let a = o + 652. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 4*u - u)*(3*u - 3*u + u)*(5 + 2*u - 5).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -20*q - 9. Let d(f) = 22*f + 7. Calculate -6*d(i) - 7*m(i).\nAnswer: 8*i + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.3 and 42.9?\nAnswer: 55.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*u - u. Let y(a) = a**2 + 1. Let j(h) = 3*h**2 - 2*h - 1. Let v = -5 - -4. Let m(i) = v*j(i) + 2*y(i). Give m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 166765 + -64578. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3233624197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s. Let u be f(2). Let w = 7.1 - 0.1. Let m = w - 7.5. What is the third smallest value in m, u, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1044*s = 789*s - 7395 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2618*b**2. Let p(t) = -t**2. Determine x(p(m)).\nAnswer: 2618*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s**2 + 4*s + 13. Let p be f(-5). Let l = p + -144. Let y be 39\/(-27)*l - 2\/3. What is y rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**1)\/r**(12\/5) assuming r is positive.\nAnswer: r**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, u: 5, j: 4, r: 2}. Give prob of sequence jnj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - (-5 + 4 - 2))*3. What is the hundreds digit of -573*((n - -1) + 2\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4*r + 4)*(-2*r**2 + 3*r**2 - 2*r**2)*(-205*r**2 + 344*r**2 - 275*r**2).\nAnswer: 544*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15593 + -15518. What is the remainder when 299 is divided by i?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12802 + -12805. What is the second biggest value in 1\/6, 2, 4, v, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -o. Suppose -3*l = 2*l - 65. Let s be -3 + l\/4 - 0. Is o equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2637235.00442 - 2636952. Let o = -283 + r. Round o to four dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**2 - 3 - 5 - 4*a**2 - 9*a**4 + 10 to the form t + m*a + c*a**3 + u*a**2 + v*a**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 5, -3 in ascending order.\nAnswer: -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/(30\/(-8)))\/(2\/(-4)). Sort 1\/3, -3, z, 6\/5.\nAnswer: -3, z, 1\/3, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6432, 12833, 19230, 25623, 32012?\n\"Answer: -2*b**2 + 6407*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 11:45 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.399 times 933\nAnswer: -372.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 - -32. Put x, 1, -0.1, 0.1 in increasing order.\nAnswer: -0.1, 0.1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((1*sqrt(13))**2*1 - ((sqrt(117) - sqrt(13)) + 1)**2) + (-1 + sqrt(117) + sqrt(1573) + 2*sqrt(1573) + 2)**2.\nAnswer: 68*sqrt(13) + 16814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hohyohwhyyoyhhohy. Give prob of sequence howh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-8))\/((-313)\/2504)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 1845 + 595 = 0. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -666 divided by 1.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -95 and 927961.8.\nAnswer: 927866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + 27\/(18201\/(-6068) + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1423773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -94\/105 and 155\/378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and -0.3026.\nAnswer: -2.4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -620, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = w - 1 - 12, -5*w = -2*o - 25. Let f = -7 - -23. Suppose f = w*n + n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*y - 49 - 57 - 102 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) 2  (c) 1\/5  (d) 1.8  (e) 0.03  (f) 1\/3  (g) 293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) -2\/19  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - -2*sqrt(70)*-2)\/(sqrt(120)\/sqrt(3)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 49, 2\/3, 6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = 3*w + 5*v, 8*w - 7*w - 4*v - 83 = 0. Calculate the greatest common factor of 871 and w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3085 + 12399\/4. What is the common denominator of (10\/(-4))\/(((-2185)\/(-14))\/5) and f?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/(-50))\/((-5)\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of n**3\/3 - 2*n. Let t(h) = -5*h. Let o(x) = 11*x. Let w(j) = 2*o(j) + 5*t(j). What is m(w(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 40 = v, 5*s - 3*v + 59 = -3. Let j be (1*4)\/(15 + s) - 0. Find c, given that -2\/5*c**j + 6\/5*c - 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 114 = 3*w + 109, 4*w = 3*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 13 - 3, 0 = -g + 2*q - 28. Let t = -23 - g. Suppose 2*y = 5*y - t. Solve 0*o + 3*o + y = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21234, -169758, -572844, -1357758, -2651766?\nAnswer: -4582134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*9\/(-6)*-6. Calculate the greatest common divisor of c and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1363310170?\nAnswer: 2, 5, 136331017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -57*m**3 + 0*m**2 + 2*m**2 + m**2 - 94*m**4 + 100*m**4 - 4*m**2 - m as k*m**2 + l*m**4 + b*m**3 + u + s*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 97213 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2171*m**2 - 54*m - 125. Let w(j) = -724*j**2 - 19*j - 44. Give -6*r(h) + 17*w(h).\nAnswer: 718*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -966 - -930. Which is the second smallest value?  (a) v  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(108) + 5*(sqrt(108) - (1 + sqrt(108))) + sqrt(108))**2 + (sqrt(108) - (1 + sqrt(108) - sqrt(108)))**2 + -2 + -1.\nAnswer: -132*sqrt(3) + 559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2. Let y = -287 + 289. Let d(g) be the second derivative of 0*g**3 - y*g + 0*g**2 - 1\/4*g**4 + 0. What is p(d(m))?\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -7 - 5*c - 4*c - c - c**2 + 3*c. Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((6 - 135\/25)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 426\/(-3 - -1)*26\/78. Let i = n - -73. Solve 12 = 2*l + i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -196 - -204.21. Let f = 47.21 - 47. Let a = m - f. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8846 - 2?\nAnswer: 8844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(6\/11))**35\/(r**(-11)\/(r**(-27)*r)) assuming r is positive.\nAnswer: r**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 319 - 314. Solve -2 = -v*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 91 = 3*z. Suppose i - z*k + 17*k - 11 = 0, -i = k - 5. What is the remainder when 17 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 11*j**2 + 7*j + 12. Let y be d(-2). Suppose 29*g - y = 23*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6793.6 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -5*t**2. Let k(y) = 2*y - 13. What is a(k(j))?\nAnswer: -20*j**2 + 260*j - 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = 9*r - 4*d - 30, -2*r + 2*d + 18 = 0. Solve -5*i - 9 = -2*z - 2*i, z = i + r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w - 3*w + 0*j = j - 505, -3*w + 2*j = -6*w + 136 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1021699987 to the nearest 100000.\nAnswer: -1021700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9322814s in microseconds?\nAnswer: 932281.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -356\/69, 1\/10835, 0.2?\nAnswer: 1\/10835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -20*t**5 + 312*t**4 - 152*t**3 - 432*t**2 + 172*t + 120 = 0.\nAnswer: -1, -2\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 6*c - 6*c - 3*c**2. Let l(b) be the third derivative of b**8\/5040 + b**5\/30 + 21*b**2. Let v(t) be the third derivative of l(t). Determine j(v(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010001 (base 2) in base 16?\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -76. Let t = -53 - g. Let z(c) = -c**3 - 5*c**2 + 4*c - 3. Calculate z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*k + 3*k + 79*k - 11244518. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 27*p**2 + p - 17. Let a(b) = -78*b**2 + 51. Let d(o) = -6*a(o) - 17*v(o). Let q(g) = g**2 - 2*g - 2. Calculate -6*d(x) + 51*q(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1016*n**3 + 6*n**2 + 32*n?\nAnswer: 6096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3320 (base 4) in base 6?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.443 + -0.143. Let q = 2.97 - -0.03. Let u be 5 - 14\/(-1 + 4 - 0). Which is the second smallest value?  (a) o  (b) u  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 7.61\nAnswer: 15.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -6*d - 48. What is p(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*y + 7*y - 9*y - 9 + 9.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -227, -459, -695, -935, -1179, -1427, -1679?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llyyllleglllyglyele. What is prob of picking 1 g and 2 l?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from geesgosn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-63)\/(-567))\/((-24)\/36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3826*j**2 - 1 + 406*j**2 - 10203*j**2.\nAnswer: -13623*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**2 + p - 2. Let o be y(-2). Suppose 2*d - 4 = 4*d, -o*d - 152 = -3*h. Let b = h + -31. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -11. Suppose -x = -4*c - 2*x - 15, 2*c + 3 = x. Let a(l) = -2*l + 1. Let g(w) = -34*w - 2 - 42*w + 79*w. Give c*g(v) + d*a(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**3 - 49296*f**2 + 151831668*f + 303860552.\nAnswer: 4*(f - 6163)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -137186*r**6 - 5*r**2 + 237*r + 12?\nAnswer: -16462320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5635110 rounded to the nearest ten thousand?\nAnswer: 5640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 60033*z - 313. Determine p(0).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/2)*g*g**(-3\/2))**(-22)\/((g**(1\/4))**23)**(-1\/46) assuming g is positive.\nAnswer: g**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-4))\/((-2)\/24). Suppose 2*j + b*p - 1 = 0, -2*p + 9 = -5*j + 2*p. Let z be 20\/16*j*-416. What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 2*o - 130 + 21, 4*o - 140 = 4*z. Suppose 3*g - 48 = 2*j - 190, -g = -j + 48. Let f = z - g. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 + -5 + -3)\/(-2). Suppose -2*h + f*z = -3*h + 71, -h + 4*z + 71 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - c = -a, 2 = 3*a - 2*c. Suppose q - a*k = 10 + 4, 2*k + 6 = -q. Calculate the remainder when 7 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 329528 divided by 19384?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -6*d**3 - d**2 + 6*d. Let j(t) = 7*t**3 + t**2 - 7*t. Give -5*j(x) - 6*l(x).\nAnswer: x**3 + x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 + -26. Let l = 59.876 + f. What is l rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1941747408.\nAnswer: 2, 3, 19, 709703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -106.4 + 114.49. Round z to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/3, 5, -0.41 in decreasing order.\nAnswer: 5, 3, 1\/3, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/20 and -181\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10289 - -10292. Solve 0 = -8*c + 10*c - x*z - 20, -2*c = -2*z - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-12)\/(-160))\/(1*9\/546) and (14\/(-8) + 2)*18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 23*d**3 + 8. Let x(h) be the second derivative of -h**5\/20 + h**2\/2 - 3529*h. What is o(f) - 6*x(f)?\nAnswer: 29*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hiyh when four letters picked without replacement from phppippppppypiyipih?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 + 31*z**2 + 19*z**2 + 15*z**2.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a**2 - 37 - 25*a**6 + 12*a**6 + a**3 + 11*a**6 - 14 wrt a?\nAnswer: -240*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g - 11002 = -2617. Calculate the remainder when 49 is divided by g\/135 - 4\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/6 + (-12)\/144. Suppose 3*a = 2*s + 4, -5*a + 1 + 5 = -3*s. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x + 3. What is the remainder when s(-11) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 691284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -184*c**4*m - 2*c**4 + 15*c**3*m + 450*c**3 - 29*c**2*m + 3*c**2 + 7148*m - 2 wrt c.\nAnswer: -4416*c*m - 48*c + 90*m + 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 48616 (base 9) to base 12\nAnswer: 16a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 257, 1475, 4797, 11279, 21977, 37947?\nAnswer: 60245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 286*i**3 - 13*i**2 + 63*i - 161. What are the prime factors of a(5)?\nAnswer: 47, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-35)\/(-10)*12\/7. Suppose 0 = q - r*q + 10. Does 20 divide (-54)\/(q - 76\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 41*t**2 + 22*t + 139. Is u(39) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*b + 66*b - 64 = 99*b. Calculate the remainder when (-5 + -1)*(-30)\/4 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 736071031 to the power of 1\/2, to the nearest integer?\nAnswer: 27131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 340647861579 plus 0.02?\nAnswer: 340647861579.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 686 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57774196.\nAnswer: 2, 14443549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 = 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 14 = 3*v + 6*o - 29, -6*v + 15 = 14*o - 39 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2 - 5*k + 2. Suppose 3 + 1 = d. What is the units digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61 (base 12) to base 5\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence srur when four letters picked without replacement from rcrrugsuurssursus.\nAnswer: 25\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 20*p**3 + 4 + 29*p**3 - 20*p**3.\nAnswer: 29*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 17677 (base 8) to base 13\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -707 + 708. Sort -2, -3, h, -67 in descending order.\nAnswer: h, -2, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 110 and 24.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -227 - -232. Suppose -y - 4*s + 492 = y, 3*y = g*s + 771. Calculate the greatest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 290701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 199 - 801\/4. What is the smallest value in 0, u, 14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/7 in 5, -0.01, -4, -1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 0.6559.\nAnswer: -0.4559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1759, 1746, 1709, 1636, 1515, 1334?\n\"Answer: -2*m**3 + m + 1760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t + 2. Let y be n(2). Let j be (-1 - -3)\/2 - 1. Suppose -3*l + j*l = -288. What is the highest common divisor of y and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of x**8\/1344 - x**7\/840 - x**6\/160 + x**5\/48 - x**4\/48 + 17*x**2 + 2*x. Suppose c(p) = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80217576570 plus 4?\nAnswer: -80217576566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 649276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + 16*c + 23. Let l be s(-15). Suppose 5*j = l*j + 15. List the prime factors of (j - (0 - -1))\/((-11)\/352).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -8. Suppose 2*w = i + 79, -q*w - 2*i + 108 = w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w + 3 - 1 - w. Let h(o) = 4*o - 3. Let i be 4\/6 - 19\/(-3). Let m(l) = l + 13. Let p be m(-8). Determine i*d(y) + p*h(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/(4\/(-1)) + -2. Let h be (s + 3)*1 + 2. Suppose -21 - 39 = -h*v. What is the highest common factor of v and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of 109*p**5\/60 - 17*p**4\/4 + p**3\/6 + 84*p**2 + p. Find the second derivative of r(y) wrt y.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -307, -0.4, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720)*-3)**2 - (sqrt(80) + (-1 + sqrt(80))**2 + -3).\nAnswer: 4*sqrt(5) + 6402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -186.310413 rounded to one decimal place?\nAnswer: -186.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, j: 1, z: 1, n: 1, c: 1, b: 2}. Give prob of sequence jdz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 20*-0.9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2313.3 + 2312. Which is the smallest value?  (a) 0.1  (b) -1\/3  (c) -1\/2  (d) m  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 6:48 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1377))*-3 + -5)**2 + (sqrt(187) + (sqrt(187) - sqrt(187)*1)*2)\/(-3*sqrt(22)\/sqrt(2)) + 0.\nAnswer: 809*sqrt(17)\/3 + 12418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -71) + -1488 + 1440?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 702020660?\nAnswer: 2, 5, 11, 3191003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -1065*f**2 - 2. Let c(y) = -8*y**2. Calculate h(c(v)).\nAnswer: -68160*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12269 - -9134. Is -3133 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4043, -2671, -471, 2485, 6125, 10377, 15169?\nAnswer: 20429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -51531*j. Let a(v) = -20*v**2. Determine k(a(o)).\nAnswer: 1030620*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (121*-2)\/(21 - 19). Let v = r + 118. Let p be (-4)\/(-6)*(v - 0) + 10. Solve 0 = -2*o - 4*m + p, -3*o + m - 8 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.5 - 9.424. What is k rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a**2 + 4*a - 13. Let d(o) be the third derivative of o**6\/120 + o**5\/12 - o**4\/24 - 7*o**2. What is the smallest common multiple of b(2) and d(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12*(22\/(-4) - (-5 + 3)). Let q = p - -46. What is the smallest common multiple of q + (-22)\/6 + (-6)\/(-9) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*q + 3*q + 3*q)*(-551*q**2 - 261*q**2 - 3 - 516*q**2 + 3) to n*q**2 + z*q**3 + m + u*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 4:54 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 21*x - 44. Give q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 190660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 945 is divided by 308?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 + 21. Sort -0.4, -9, s, 5 in decreasing order.\nAnswer: 5, -0.4, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.019 + 0.981. What is the closest to -2 in 4\/5, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65176485 a multiple of 2827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -6024 + 6097. Solve -115 = -7*b - o for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18286253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -106b (base 12) in base 9?\nAnswer: -2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2304210 rounded to the nearest ten thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - 2*n + 15, -1906*m = -1904*m + n - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -46 + 53. Let r(q) = 128*q - 175. Is r(p) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*b**3 + 18*b**3 + 14*b**3 + 13*b**3 + 2*b**2 - 59*b**3.\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -23, -1, -3, -147, 4.\nAnswer: -147, -23, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - o - 24 = 0, -14*o + 4 = 4*b - 10*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 803660293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1))**29*(d\/(d*(d**3*d)\/d*d))\/d**(1\/7)*((d*d**(-1))**(-1\/23))**(-1\/59) assuming d is positive.\nAnswer: d**(-232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*q + 2 - 10*q - 12*q + (0*q + 8*q + 6*q)*(-37 + 47 + 69) to the form h + i*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -2461*c**4\/4 - c**2 + 3204*c - 2033. Find the second derivative of v(w) wrt w.\nAnswer: -14766*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 74 + -72. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u + u - u)*(3 - 3 - 2)*((-2 + 2 - 1)*(-2 + 5 - 1) - 3 + 4 + 1 + 2 - 4 + 0) to w + f*u and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p = 94 + 104. Let u(h) = h**2 - 14*h + 29. Let b be u(p). Put b, 1, -5, -8 in decreasing order.\nAnswer: 1, b, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -15*l + 98. Suppose -2*i + l = 3*y - 4, -y + 4 = i. Solve t = -0*t - y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y - 1 + 4*y + 2.\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5*46065956\nAnswer: -230329780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**2*s**2 - 2*k**2*s - 228805*k**2 - 4*k*s**2 - k*s - 1411*k - 38*s**2 wrt k?\nAnswer: 4*s**2 - 4*s - 457610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**2 + i**3 - 2 + 199*i - 199*i to the form o + s*i**2 + t*i + h*i**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6.13 - 0.13. Which is smaller: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46909 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**5 + 72*b**4 + 363*b**3 - 708*b**2 - 1404*b + 1680 = 0.\nAnswer: -5, -2, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (16 + -13 + -15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 - -50. Let d be (-140)\/77 + 2 - (-40)\/22. Solve -3*h - 4 = -0*h - d*g, m = 2*h + 3*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1874 + 3335. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - 20. Suppose 0 = 18*n - 82 - 152. Suppose -274 = n*c - 2133. What is the highest common divisor of c and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.194 - -0.494. Which is the closest to -18?  (a) -3  (b) l  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -3*sqrt(2592)*-5.\nAnswer: -3 + 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -6 + 10 - 13*y + 8 + y**2. Let w be i(12). Differentiate -1 + m**3 + w*m**3 + 2 wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 3*j - 2472 = -q, -4*j = 0. Suppose -18*h = -12*h - q. Let l = 176 - h. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**2 - 82 - 139 + 3*k**2 + 30 to u*k + g*k**2 + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fxv when three letters picked without replacement from {f: 3, v: 8, x: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -552, -821, -1090, -1359, -1628?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**2 + 2*a**2 + 3*a - 6*a**3.\nAnswer: -6*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 34, -633, -1, -288?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*q = 2*y - 59, 5*y + 3*q = 243. Let d be 11\/198*y\/5. Let t = d - -1\/10. Which is the third biggest value?  (a) -4  (b) t  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2185\/(-532))\/(-23)*-4.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of -z**8\/3528 - z**7\/245 - 2*z**6\/315 + 25*z**2. Find o such that g(o) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**3 - 902*c**2 + 253260*c - 20861064 = 0.\nAnswer: 146, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1646, 14025, 47650, 113153, 221166, 382321, 607250, 906585?\n\"Answer: 1772*g**3 - 9*g**2 + 2*g - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -23 + 3*d**2 + 21 - 7*d - d**2. Is o(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33680 and 17540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = -4*j - 82. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8644.\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 20*n - 50 = 25*n, 3*n = -5*z + 187. Suppose 0*f + 8 = 2*f. Let d = f - -10. Calculate the highest common factor of z and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in -0.1, 3\/8, -1\/7, 2\/15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 16*k**3 - 2*k**2 - 11*k + 8. Calculate s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 6*r + r**2 + 10*r - 1 - 18*r. Let w be j(3). Let p(v) = v**3 - 4*v**2 - 6*v + 7. Let d be p(5). Solve -3*u = -4*t - 0 + 5, -w*t = d*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 2*a. Let c(g) = 4*g**2 - 9*g. Let x = 10 + -1. Give x*m(u) - 2*c(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 25, 18, 11, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -54*((-20)\/15 + 2). Let s be 8\/d - 56\/(-9). Suppose 0 = 2*i - s*i - 5*r + 250, 4*i + 3*r = 254. List the prime factors of i.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 268634*t + 8059020. Determine y(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 3, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49*v**3 - 2*v - 9*v + 0*v**3 + 8*v to the form y*v**2 + g*v + i + f*v**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62*-8367049.\nAnswer: 518757038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*u - 32*u + 3*s + 5 = 0, 5*u + 4*s - 24 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -12 + 10 + 10 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2)*-2 - -1. Suppose -3*p + 5*t + 205 = l*p, 41 = p + 2*t. Suppose -4*x - h + 319 = 0, 4*x - 287 = -4*h + p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/9  (b) 516  (c) -3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -9613*p**3\/5 + 44219*p**2 - 576688*p\/5 - 48 = 0.\nAnswer: -4\/9613, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8 - 8 - (38 + 0). Let q be 102\/(-4)*k\/57. Suppose -4*p = 9 - q. Solve 3*r = 3*i - 6*i - 18, -p*r + 18 = -4*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.5 + 0.9. Let i(h) = -h**2 - 5*h - 5. Let m be i(-2). Sort b, 4, m.\nAnswer: b, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50691?\nAnswer: 3, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 16 + 7)*(0*h - h - 2*h)*(4 - 5 + 3)*(-1 + 1 + 2*h**2).\nAnswer: 336*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2341228134 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - -20. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 4:32 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2877822 - -4?\nAnswer: 2877826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -4*i + 572, i + 8*j = 7*j + 141. What is the remainder when i is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2)*(164*x**2 - 164*x**2 - 40*x**3).\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**2\/k)**(-4\/21))**(-2\/23))**17)**17 assuming k is positive.\nAnswer: k**(2312\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 20 = -55. Suppose q = 5*t, -3*u + 0*u = t - 1. Solve -2*s = 2 - u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/5)\/(18\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20 + 26 - 51 + 11 - 21*a**2 to the form f*a**2 + j + t*a and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2.02 + -558\nAnswer: -555.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 594 and 216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 i, and 2 d when four letters picked without replacement from uupdpuiukknknnkdipdp?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 33, -71258?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -773874, -1547741, -2321606, -3095469?\nAnswer: -3869330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*(-2 - -1) - -3. Suppose d = -j + 3*j + 24. Let o = 20 + j. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12543893 is divided by 303.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 5*g + 6. Let a be x(-5). Let j(b) = b - 6*b + a*b. Let v(w) = -10*w**2. Calculate v(j(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.3716628 rounded to three decimal places?\nAnswer: 6.372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.7, -58, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 154423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of -v**4\/12 - 11*v**3\/6 + 7*v**2\/2 - 71*v + 4. Determine k(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -6. Suppose -p*v = -445 - 68. Suppose 0 = 3*i + 5*b - v, -3*b - 228 = -i - 3*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -w**4\/4 - 3*w**3 + 4*w**2 - 9*w + 1. Let n be q(-10). Suppose 0 = -n*t + 15*t - 448. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8030281027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-45)\/(-42) - (-1)\/(-2). Let h(b) = -b**3 + 3*b**2 + 4*b + 5. Let y be h(4). Let m = y - 4. Is m bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-11) - 2*(-24)\/22. Suppose 978015 = -r*p + q - 6*q, 0 = p - 2*q + 488994. What is p rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 2*n + 10, -z - 74*n = -73*n - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 931856, 931857, 931858, 931859?\n\"Answer: b + 931855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 492 - 428. Calculate the lowest common multiple of 32 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/45 and 37\/15990.\nAnswer: 47970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 8:31 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -16548988 greater than or equal to -16548988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(612) - (-4 + sqrt(612))**2)*-5 - (-5 + -3*(sqrt(17) + ((sqrt(187)*3)\/sqrt(11))**2)).\nAnswer: -267*sqrt(17) + 3605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14800871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 595641 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 20178 divided by 5\nAnswer: 20178\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 4*u - 116. Let q be a(30). Let y(z) = z + 1. Suppose -v = -2*v, 5*v = -5*l + 10. Let t(s) = -3*s + l*s - 5*s + s - 5. Give q*t(i) + 18*y(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n + 2*n - 6*n)*(-4*n + 5*n - 4*n) - n**2 + 3*n**2 + 0*n**2 + 2 + 706*n**2 - 201*n**2 - 282*n**2 to k + h*n + q*n**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -b**6\/6 + 36*b**5\/5 - 143*b**4\/2 - 228*b**3 - 361*b**2\/2 - 80. Factor n(g).\nAnswer: -g*(g - 19)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 2) + -46 + 45 - (37 + -26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 12) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*16\/72*-6. Suppose -4*b + 5*d = 23740, w*d + 23704 = 5*b - 9*b. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -11. Suppose -g*f = -f - 40. Suppose 4*q - 2*q = f. Calculate the lowest common multiple of 4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v - 4. Let l(o) be the third derivative of -7*o**4\/24 + 3*o**3\/2 + 64*o**2. Give -4*l(d) - 9*x(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-18)\/(-15))\/(6\/80). Suppose -2*m + 6 - n = 0. Let o be 1\/2 + m\/30. What is the closest to 2\/7 in -4\/3, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*p**4 + 71*p**2 + 3 - 3*p**4 + 0 + 25*p**5 - 83*p**2 wrt p.\nAnswer: 1500*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141642803 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 10*v**2 - 8*v + 8. Is q(9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8629 - 8629 - 46*m)*(3*m**3 - 6*m + 2*m**2 + 6*m) to k*m + n*m**2 + i + l*m**4 + r*m**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w + 1389 - 1389.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1531868*j**2 - 7619*j.\nAnswer: -3063736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 228004 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.14. Let t = 0.61 - 0.734. Let d = s - t. What is d rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 27. Suppose 5*s = 2*s - 3*y + 33, -5*s = -3*y - l. Solve 3*v + s = -4*f - 3, 0 = 3*f + 4*v + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2701573807?\nAnswer: 2701573807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1059 or -1078?\nAnswer: -1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/60 and 73\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*v**4 + 45*v**3 + 100*v**2 + 60*v = 0. What is v?\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -102*m + 58*m + m**3 - 99*m - 4*m**3 - 70*m to the form a + v*m**2 + o*m + t*m**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15, -27, -47, -75?\n\"Answer: -4*b**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -3 + (2 + 1189 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 7*w - 410 = 0. Suppose w*d - 7294 = 39*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r**2 - r. Let j(o) = -5*o**2 - 1. Suppose 5 - 3 = y. Let a(k) = y*j(k) + 3*g(k). Let p(t) = -5*t + 28. Let n be p(5). Calculate a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of -1\/4*x**4 + 27 + 4*x**3 + 2*x - 7*x**2. Does 31 divide t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 325*d**2 + d - 1. Suppose 0 = 4*f + c - 3, 2 + 1 = -f - 4*c. What are the prime factors of u(f)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5412 * 5.\nAnswer: -27060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 9:09 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8497*q + 20558 = -8459*q. Do 541 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*t - 3*y, -y - 4*y - 15 = -5*t. Is t greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29.99931 - -30. Round v to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5139161194 to the power of 1\/2, to the nearest integer?\nAnswer: 71688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-4) + (-69)\/(-12). Solve k + l = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zwvvvvwz. What is prob of sequence zz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 12\/16879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/12*3 - 15\/(-25)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 6*((sqrt(1300) + 5 + -1 + sqrt(1300) + sqrt(1300) + sqrt(1300) + sqrt(1300))**2 - (0 + sqrt(1300) + -5 + sqrt(1300))**2).\nAnswer: 3600*sqrt(13) + 163751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66840 is divided by 8296.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + 35*k + 12. Let x be h(-19). Let f = x - -733. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - n**2 + 2. Suppose 6 + 19 = 5*p. Suppose q - h + p = 0, -13 = -q - 3*h + 2. What is the units digit of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 6*h - 3*h)*(-16 - 15 + 23).\nAnswer: 96*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1266.\nAnswer: 2\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -33. What is the remainder when (-326)\/(-489) + 2 + 302\/6 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2008*a - 12383. What are the prime factors of t(-25)?\nAnswer: 13, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 28*x + 44 = -32*x, 5*x = -5*z + 110. Let r(g) = -6*g. What is the smallest common multiple of r(-2) and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -778*l**2 + 1208*l**2 - 812*l**2 + (l + 2*l - 4*l)*(2*l - 4*l + 0*l) to the form k*l + u*l**2 + s and give u.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 6 = -3*g, -4*q + g = -g. Let j be q + ((-42)\/(-10) - 2). Which is the closest to -0.1?  (a) 0  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 36 = c, -c + 124 = -2*j + 85. What is the greatest common divisor of c and 324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.2  (b) 5.9  (c) -14  (d) -1\/8  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooegofe. What is prob of sequence ofg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -3*m**2 + 4*m - 8. Let t(a) = 34*a**2 - 77*a + 137. Let y(f) = -7*f**2 + 15*f - 27. Let b(p) = 2*t(p) + 11*y(p). Calculate 6*b(j) - 17*u(j).\nAnswer: -3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -349.8 + 346. Let x = -3.80345 - a. Round x to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3066 is divided by 309?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 43*y**2 + 3*y - 13. Let f be (-2 + 3\/(-3))*1. Let z = f + -3. Is r(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**0*p**(-15)*(p**(-6))**(-2\/5) assuming p is positive.\nAnswer: p**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -2*n + 4, -42 = -5*k + n - 39. Solve -4*u - 12 = -3*r + 5*r, -3*r = k*u + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/3260 and 29\/616.\nAnswer: 502040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 9*r - 1. Calculate o(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ktkrktrrttrkkr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 + (29 - 9) - -8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 34*l + 26. Let z be t(-33). Let f(u) = -u**3 - 6*u**2 + 3*u + 5. What is f(z)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/5614 and 29\/123508.\nAnswer: 123508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sllssslsyyssylls. Give prob of sequence lly.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 9088090*q + q**2 - 2*q**2 + 16*q**3 - 9088019*q as i*q**3 + u*q**2 + a + t*q and give t.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7185767369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 52192232, 104384465, 156576698?\n\"Answer: 52192233*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + n - 9. Let u(i) = 3*i**3 - 49*i**2 + 17*i - 2. Let d be u(16). What is the units digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 185*w**3 + 148. Let x(l) = -l**3 - 1. Determine -k(b) - 148*x(b).\nAnswer: -37*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255 - 1166*p**2 + 5*p**3 + 1166*p**2.\nAnswer: 5*p**3 - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1808047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2849 and 77.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10072 (base 13) to base 5\nAnswer: -1404104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k**3 - 9*k**3 - 7 + k + 5*k**3 + 1 to the form n*k**2 + g + b*k + l*k**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78*661.7811.\nAnswer: 51618.9258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -119 + 125 + -1 + 3 - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11 + a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35020.41 weeks to milliseconds.\nAnswer: 21180343968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-10)\/s**(-1\/4))**(4\/15))**46 assuming s is positive.\nAnswer: s**(-598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**3 - 21684*s**2 - 108520*s = 0. Calculate s.\nAnswer: -5, 0, 5426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-64)\/(-12) + 6\/9. Suppose v*u = -0*u + 36. Solve u + 56*l + 9*l**2 - 44*l - 18 = 0 for l.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50.8 - -47.8. Which is the third smallest value?  (a) s  (b) -3\/8  (c) 1\/3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a + 1 - 25*a - 13*a.\nAnswer: -45*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 7*p**3\/2 - 22*p - 1. Let a(j) be the first derivative of h(j). Let n(s) = -2*s**2. Give n(a(v)).\nAnswer: -882*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -421 at most as big as 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m*q**3 + 12*m*q - 2531330*q**4 - 146*q**2 - 75*q wrt q.\nAnswer: 12*m - 60751920*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -7 + 1 + (690 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 301*f = 297*f - 10, 6*f = -5*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - z**2 - z + 2. Let r be f(0). Suppose -382 = -r*v - 0*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 14 = 4. Suppose a*j - 3*z = 2*z + 3, -4*j + 46 = -2*z. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = l - 12. Suppose -3*y = -7*y - l*o + 12, -3 = -3*o. Suppose -3*j = -0*q + 2*q - 6, -6 = -q - 3*j. Solve q*g + 6 = y*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**3 + 28*g**2 - 4*g - 46. Let l be b(-14). What is the nearest to -2 in -0.5, 3, 4, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -161 - -2236. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 64.9  (b) -1\/4  (c) 3  (d) -1.335  (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i + 5*i + i. Let n(j) = -j**2 + 0*j**2 + 4*j**2 - j**2. Give n(d(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2153*r + 2143*r + 2151*r + 2195*r - 8824*r.\nAnswer: -182*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l**3 - 19*l**2 - 1004*l. Let o(a) = -5*a**3 - 19*a**2 - 1005*a. Let c(k) = 4*f(k) - 5*o(k). Find the second derivative of c(z) wrt z.\nAnswer: 78*z + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 131\/70 - 13\/10. Suppose 0*j - 2\/7 - d*j**3 + 6\/7*j**2 = 0. Calculate j.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from oozzizcciziccyzyoz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - b + 18 = 0. Let q be (-12)\/(-10)*(-4)\/b. Let f = 3972.7 + -3973. Put f, 5, q in descending order.\nAnswer: 5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3500*p**3 + p**2 - p - 2. Let r be l(2). What is r rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -o + f, 104*o = 108*o + 2*f - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5748\/8595 + 2\/(-3). Let w = -24816\/6685 - p. Let k = w - -4. Which is the smallest value?  (a) -4  (b) k  (c) -2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 338, 34, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -5*f - j + 30, 0 = 4*f - j - 15. Factor -14*p**2 - 12*p**3 - 3*p**2 - 2*p**4 + 8*p + 4*p**2 - f*p**2 + 24.\nAnswer: -2*(p - 1)*(p + 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -921 and -4602\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 996464 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svm. Give prob of picking 1 v and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-1)\/(-4) + (-11)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0364031 and 6.9.\nAnswer: 0.25118139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 104097*b**2. Let h(i) = 10*i - 1. Give h(l(v)).\nAnswer: 1040970*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of k**6\/120 - k**5\/12 + k**4\/4 + 94*k**2. Let i be q(3). Factor i - 4\/3*t**4 - 8\/3*t**3 + 0*t - 4\/3*t**2.\nAnswer: -4*t**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(3\/(-4)*36\/(-81))*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c**3 - c**3 + 2 + 4*c - 3*c**3 - 3*c**2 - 3*c**2. Let x be o(5). Let s be -1*(-14)\/6*x. Is s at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 - 12. Let q = f - 4.8. Let z = -3.1 + 3. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 443*u - 4398. Calculate the lowest common multiple of g(11) and 285.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 371\/2*(-8966)\/31381?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.136 + 0.1. Let i = l - -0.0244. What is i rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -56 + 60. Suppose 5*h - 196 + 45 = x*i, 2*i = -5*h + 127. Find the second derivative of 7*b**4 + 30*b**4 - 4*b**4 - h*b wrt b.\nAnswer: 396*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 407 by 407.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + z - 676 = 0, 13*d = 15*d + 3*z - 338. Calculate the highest common divisor of d and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 21 = -6*o. Suppose -3*n - 3*s + o = -2, 3*s + 5 = -n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 67, 47, 13, -35, -97?\n\"Answer: -7*b**2 + b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-5)*5\/2. Let y(q) = q**2 - 5*q - 4. Let b be y(d). Let l be (20\/(-6))\/(28\/(-42)). Sort -2, b, l in decreasing order.\nAnswer: l, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 578*f**2 - 83264980*f + 2998727030450 = 0. What is f?\nAnswer: 1224485\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1436*a - 22723 - 20357 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -6*j**3 + 7*j**2 - 4*j - 7. Let t(n) = 3*n**3 - 7*n**2 + 3*n + 6. Determine 4*t(a) + 3*y(a).\nAnswer: -6*a**3 - 7*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(192))*-5)**2 - (4 + 3 + (sqrt(6)\/sqrt(2) - sqrt(3))) - (-3*((sqrt(3) - (sqrt(33)\/(-1*sqrt(11)) - sqrt(3))) + sqrt(27) + -1))**2.\nAnswer: 108*sqrt(3) + 3812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 201120001210212 (base 3) to base 11\nAnswer: 595a13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4484066, -4484215, -4484364, -4484513?\nAnswer: -4484662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25466 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2 less than -1\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*d - 259 + 134 + 129 - d.\nAnswer: -9*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/169  (b) 0.5  (c) -0.5  (d) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 28*m**2 + 59*m + 31. Let v be w(30). Let o(g) = -12*g**2 - 3*g + 3. Let a(q) = q**2 + q - 1. Determine v*o(f) + 3*a(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0043283 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5 - 5 + 2)*(-h + 0*h - 2*h) + 3*h + 10*h + 8 - 4*h)*(9*h + 7*h**2 - 11*h**2 + 7*h**2) in the form m*h**3 + r + y*h + c*h**2 and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 487\/15 + -161\/5. Let q = -2\/2271 + 3038\/11355. Solve -2\/15*l + 2\/15*l**3 + q - v*l**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + 4*a**2 - 10*a + 6. Let b be c(6). Let y = 38412 + -38395. What is the greatest common divisor of y and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 45*g**2 + 54*g - 370. Let c be v(46). Let l = -2 + 5. Put c, l, 2 in decreasing order.\nAnswer: l, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -15, -20, -27, -36, -47?\n\"Answer: -a**2 - 2*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 + 3. What are the prime factors of 1\/((-1)\/(u + 1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6337.\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 3\/2  (b) 1.1  (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 1 = 2*w - 2*h, -5 = -w + 3*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*g**2 + 273*g = 0. Calculate g.\nAnswer: -91\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 391872865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8052, -16475, -24868, -33219, -41516?\nAnswer: -49747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*b - 5 = 67*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 119.83 - 17596442?\nAnswer: -17596322.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 - v**2 + 3*v**2)*(-2*v + 0*v + 3*v - 2).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**2 - 5*q**2 + 3*q**2)*(157*q - 69*q - 124*q) + (3*q**2 - 3*q**2 + 4*q**2)*(-4*q + 3*q + 0*q).\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h**2. Let b be (-4)\/(-5)*1*5 - 2. Let t(z) = 3*z**b + 5*z**2 - 13*z**2 + 4*z**2. Calculate k(t(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 113*d**2 - 54*d**2 - 62*d**2 in the form g*d + m + c*d**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x**3 + 121*x**2 - 209*x + 2107. What is b(39)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x + 5*x - 2*x + (2 - 7 - 19)*(1922 - 1922 - 191*x).\nAnswer: 4586*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 3:32 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2251 - -1?\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00185820167 rounded to seven decimal places?\nAnswer: -0.0018582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -27*t**3 - 3*t**2 + 32*t - 7. Let o(f) = -26*f**3 - 4*f**2 + 40*f - 9. What is -5*n(i) + 4*o(i)?\nAnswer: 31*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = b - 0*b. Suppose 0*c = -p + 5*c + 8, 0 = -b*p - 3*c - 16. Put -8, p, -3 in increasing order.\nAnswer: -8, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b - 8. Let q be h(4). Let l(a) = -6 + q + 35*a - a**2 - 42*a. Calculate l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 626969918 to the nearest integer?\nAnswer: 25039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from rrrvvrzzjjvjnzs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1691784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4432*-0.11\nAnswer: 487.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-90)\/40 + 1\/4. Let p be r - 3 - (1 + -4). Let a(y) = -3*y**2. Let z(w) = -3*w**2. Calculate p*a(m) + 3*z(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 205356, 205361, 205370, 205383?\n\"Answer: 2*u**2 - u + 205355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) + sqrt(88) + -1*sqrt(88)*-1 - sqrt(88))\/(1*sqrt(512)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 67a2 (base 11) in base 14?\nAnswer: 338d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -2\/9  (b) -24  (c) 1\/5  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 9:37 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1031 + -12?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-1430)*26)\/(8\/(-2))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 541 is divided by 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3288 - -3296. Solve 0 = 2*c + f - 2, -4*c + a*f - 7*f + 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -961.5 + 961. Which is the smallest value?  (a) -0.111  (b) 0.5  (c) y  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 121598*j**5 - 2*j**4 + 338462*j wrt j?\nAnswer: 2431960*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -12758+-0.8\nAnswer: -12758.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.19 + -1337\nAnswer: -1336.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c7 (base 13) to base 2.\nAnswer: -10100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*p - 2*l + 33, -5*p = 2*l - 129. Suppose h = -h - 10, -p = -2*o + 3*h. Differentiate o*x**3 - 2*x**3 - x**3 + 5 + 4*x**3 with respect to x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-4\/7)*s*(s\/(s*s\/(s\/(s**8\/s))))\/s assuming s is positive.\nAnswer: s**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 not equal to -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 15 - 11)*(3 - 2*x - 3)*(3*x + 2*x - 3*x)*(60*x**3 + 4048*x**2 - 4048*x**2).\nAnswer: 720*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 810592811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3914 divided by 9184.\nAnswer: 1957\/4592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-3)\/((-7)\/6 + (-18)\/54) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -255101144 (base 6) to base 2.\nAnswer: -10011000100110000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -0*h. Suppose h = 2*s - 5*l - 298, 5*s - l - l - 724 = 0. Suppose -6*y = -8*y + s. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11077 = -835*v + 4788 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75 + (-8 - (6 + -28)) + 7 + 24 + -34.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1557402 (base 11) to base 6\nAnswer: -133002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18367760.69 rounded to the nearest 10000?\nAnswer: 18370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13510 - -11405?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 371.5 - 371. Let w = 34.05 - 34. Which is the third biggest value?  (a) m  (b) 4  (c) -0.5  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7584268 divided by 5.\nAnswer: 7584268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19839.\nAnswer: 3, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*g - 32 = 0, 9*p - 4*p = -g + 23. Suppose p*x - 130 = 42. Suppose -x = -4*u - 3. Calculate the remainder when 38 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 19*l**6\/180 - 19*l**4\/24 + 4*l**3 + 17*l. Let q(f) be the second derivative of p(f). Differentiate q(n) with respect to n.\nAnswer: 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3801 is divided by 1880.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208686787.\nAnswer: 11423, 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/(-7))\/(5\/10640*8). Calculate the greatest common divisor of 48 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -20*z**4 - 2612*z**3 + 9160*z**2 + 6432*z = 0.\nAnswer: -134, -3\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -1\/336*l**8 + 1\/120*l**6 - 2*l**2 + 0*l**4 - 1\/210*l**7 + 0*l + 1\/60*l**5 + 0 + 0*l**3. Find k, given that v(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of m**4\/12 + m**3\/2 + 3*m**2 - 3*m. Let h be c(-2). Is 20*(25\/2 - h) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 221 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 + 3*d**2 - d - 4. Let f be g(4). Let i = 0 + -14. Let r = i - f. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 17*g**3 - 2*g. Suppose 0 = 2*h - 4 - 0. Let f be 2\/(h*1\/2). Let o be c(f). Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*a = 0. Suppose 4*f - 5*f + 8 = a. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 2*z - 5*c = 31, -c - 19 = -2*z. Let j = -1 + z. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3001615558 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s**2*u**2 - 16*s**2*u + 3*s**2 - 257123*s*u**2 - 2*s*u - 3*u**2 + 169*u + 3 wrt u?\nAnswer: 4*s**2 - 514246*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1701 divide 108256743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 194016.8km?\nAnswer: 194016800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -8393154\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 147658366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*w - 23*w = 68. Suppose 0 = 4*p - w + 33. Let a be ((-16)\/(-12))\/(p\/(-6)). What is the greatest common factor of a and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-3) - 2139\/276.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by 8877\nAnswer: -40\/8877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30355 + 4130?\nAnswer: 34525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 402, 3 in increasing order.\nAnswer: 2, 3, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 5:11 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 0, 106062, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12144?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7*-3*4\/(-14). Let r(o) = -o - 4. Let t be r(g). Let y = 14 - t. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387483.\nAnswer: 3, 53, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 71058169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -7 - n + 6 - 13. Let g be -17 + (-5)\/(-1) - 4 - -5. Calculate w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22\/1317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o - 3*o + o + 3*o + o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8645 and 5796.\nAnswer: 7158060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4352 + 8a7?\nAnswer: -399a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6160, -24651, -55494, -98713, -154332?\n\"Answer: -4*i**3 - 6152*i**2 - 7*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -o + 97392 - 97427, -w - 5*o + 7 = -8 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8*3*(-4)\/(-24). What is the least common multiple of 26 and (-2280)\/(-225) + s\/(-30)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 14*v**2 + 14*v - 7. Is j(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2. Let d(i) = -1515*i**2 + 1784*i. What is d(g(w))?\nAnswer: -6060*w**4 + 3568*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-1)*1 - -1. Let g = -988500 + 988510. Which is the third biggest value?  (a) 0.3  (b) g  (c) s  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - 7. Let s = i - -18.1. Which is the closest to 0.3?  (a) s  (b) 0.4  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) -19  (c) 2  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 14 = 6*f + 6*f. Put -10, 3, f, 4 in decreasing order.\nAnswer: 4, 3, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/382839 and 59\/1110.\nAnswer: 3828390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h**2 + 32*h - 31. Let v be x(-13). Let w be (3\/((-9)\/v))\/((-2)\/16000). Round w to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6470, -6474, -6480, -6488?\nAnswer: -6498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of 193*a**6\/15 - a**5\/20 - a**4\/3 + 1534*a**2 - 10178*a. Differentiate g(m) wrt m.\nAnswer: 1544*m**3 - 3*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5056\/(-1580))\/(4\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + b + 1. Let c(a) = 15*a**2 + 19*a - 5. Let v(p) = -8*p**2 - 10*p + 4. Let s(u) = 3*c(u) + 5*v(u). Give 4*f(y) - s(y).\nAnswer: -y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 24  (b) -2\/19  (c) 0.199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/7, 3\/16, -0.5, -0.0377?\nAnswer: -0.0377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 180*w**5 + w**4 + 71*w**2.\nAnswer: 10800*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4484, -17744, -39836, -70754, -110492, -159044, -216404, -282566?\n\"Answer: f**3 - 4422*f**2 - f - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/802 in -0.3, -3, 5, -5\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-45))\/(2 + (-10)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -355.717897 and -0.1913.\nAnswer: -355.909197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrb when three letters picked without replacement from rrrxbrxrx?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**4 - 92*s**3 + 312*s**2.\nAnswer: -4*s**2*(s - 3)*(s + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -92.1 + 94.1. What is the closest to 0.11 in 0, q, -1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 d when four letters picked without replacement from sdsssdssssdsssssss?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3551502 (base 6) to base 14.\nAnswer: -4b982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10640009 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13891904.\nAnswer: 2, 13, 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-38 + 258*a**2 - 14 + 100*a**2 + 53)*(-5 + 5 - a) in the form l*a**3 + m*a**2 + n + c*a and give l.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/10)\/(2\/140). Let u = 32 + n. List the prime factors of (-16)\/24 + (-65)\/u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, u: 4, w: 1, a: 6, y: 4}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-9 + 7 - 3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-45)*-35*(-14)\/16*(-18)\/105?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1630*t - 69196 - 17571 - 111541 - 44562 = 0 for t.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9252 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/9)\/((-6)\/6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 128550521 to the power of 1\/2, to the nearest integer?\nAnswer: 11338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + -6 + (-12)\/(-3). Suppose h = 8*v + 242 - 858. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -17361*j + 403. Is u(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -5*i**2 + 8. Let b(u) = 14*u**2 - 23. Let t(h) = -4*b(h) - 11*s(h). Let c be t(3). Let a be 12 + c\/((-5)\/(-4)). Which is smaller: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4743 and 13113.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 194861415673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 82162.88ml in litres?\nAnswer: 82.16288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1420 and 39010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291*h + 276*h = -75. Let m(a) = -2*a + 47. Let k(f) = -2*f + 48. Determine h*m(l) - 6*k(l).\nAnswer: 2*l - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 times -0.771?\nAnswer: -25.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 189810, 759068, 1707832, 3036102?\nAnswer: 4743878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/16 and -81\/104.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4915293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 29, 41?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11725 in 6, -0.5, 1\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*q - 59*q - 11*q**2 - 55*q.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 315 - 498. Let x = t + 182.9998684. Round x to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 910190*m - 910190*m - 957*m**2 as h*m + j*m**2 + p and give j.\nAnswer: -957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 2. Let d(a) = -8*a**2 + 0 + 4*a**h + 0. Let c(z) = z. Calculate d(c(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 505163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*2\/26)\/((-6976)\/(-498784)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 198 and 45837?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126989.\nAnswer: 126989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of k**5\/5 + k**4\/4 - 2*k**3\/3 - 139. Factor h(w).\nAnswer: w**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 0 - 11*698051. Let r = a - 1800085. Let l = r + 16078647. What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + p**2 + 3)*(-7*p**2 - 35*p + 35*p) to the form i*p + u*p**3 + n*p**4 + l + h*p**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 243 + -47. Let q be (p\/5)\/(38\/95). Let v = 42 + -28. Calculate the greatest common divisor of v and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 0, 3*l - 2*r + 3*r - 15 = 0. Solve l = 5*k - 0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 7. Solve -4*z + s + 0*s + 16 = 0, a*z + 2*s - 28 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -4 + sqrt(28)\/((sqrt(112)\/sqrt(4))\/sqrt(7)) + -4)*-4)**2.\nAnswer: -128*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -29078.63 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 654776 + -212757. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -30 bigger than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 145016*1008.\nAnswer: 146176128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -2 + 4 + (3 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 185372\/7 smaller than 26481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 19154*f**3 + 2*f**2 - 34057?\nAnswer: 57462*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -19, -46, -81, -124?\n\"Answer: -4*b**2 - 15*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -7*j**2 - 2 - 9*j**2 + 1. Let x(m) = 3*m**2. Let y be ((-4)\/(-12))\/((-3)\/18). What is y*k(h) - 11*x(h)?\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3092 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - d**2 + 79*d + 8. What is the smallest common multiple of i(0) and 114\/27 + (-4)\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -4020031341?\nAnswer: -4020031344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 4*(-3*(sqrt(468) + 1)*-3 - (2*sqrt(468) + -3 + sqrt(468)*-2 + -3)))**2.\nAnswer: 26784*sqrt(13) + 610372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.831 + 6.099. Let u = l + -2.93. Let c = -3 - -2. What is the closest to -2 in c, -0.2, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1622152 divided by 28967\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.053238 rounded to two dps?\nAnswer: -2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, q: 1, u: 2, f: 1}. Give prob of picking 1 q and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 4*i**2 - 6*i + 3. Let v be t(-5). Let n = -6 + v. Solve 4*p + 21 = p - 5*s, n*p = -s - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66278 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 152 >= -0.080324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k - 14 - 219 - 7 - 2*k - 3*k to the form c*k + r and give r.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 7*q + 5. Let n(t) = 2*t. Let w(x) = 3*n(x) + z(x). What is w(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 132*k**2. Let a be c(-1). Suppose 0 = 6*f - 81 - 117. Calculate the highest common divisor of a and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1872) + -4)*-5 - sqrt(1872)) + (-2*sqrt(1872) - sqrt(1872))*-5 + 5 + (sqrt(1872) - 6*(sqrt(1872) + 2)) + 4)**2.\nAnswer: 1632*sqrt(13) + 30241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 1 = -8, -2*h - 30 = 4*u. Let j be h\/28*8\/15. What is the second smallest value in -3\/2, j, -5.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 23004324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 4*f - 333, 5*z + 304 = -f - 44. Let u = -39 - z. Suppose -5*a = -3*a - 36. What is the common denominator of a and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -72622, -145228, -217834, -290440, -363046, -435652?\n\"Answer: -72606*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1\/3)*y*(y\/y**3)\/y*y)\/(y**9*y*y\/((y*y**(1\/11))\/y)) assuming y is positive.\nAnswer: y**(-349\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5511*j - 835451 + 245774 for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 3*j - 21 = 5*s, -3*j = -9. Suppose r + 8 = -r. Let y(m) = m + 2. Let h(n) = n + 3. Let t(o) = r*h(o) + 3*y(o). Let z(u) = 1. Give s*z(a) - t(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -446 - -813. Let p = i - 365. Solve -u = p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3545 = 316*o - 576*o - 11865 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -220.1 - -220. What is the nearest to k in 0.1, -4, 2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Divide 1078 by -2.\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 609831929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220 - -20202?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*y = 273*g - 268*g - 135, -155 = -5*y - 10*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.002667 rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -13*b - 29. What is g(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/20*(-4)\/54*8670\/(-1156)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-72)\/(-27)*(-3)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 2\/23, 195541, 773, 0.1?\nAnswer: 195541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**2*x**2*y**3 + q**2*x**2*y + 157*q**2*x*y + 5*q**2*x - 19154*x**2*y**3 + 9*x**2*y wrt y.\nAnswer: 6*q**2*x**2*y - 114924*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - 57. Let z = 69 + p. Let j = -32 + z. Solve -j*s = -6 - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 9*t + 9 = -21*t + 125 + 1, -4*r - 4*t = -28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 411320?\nAnswer: 2, 5, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2307?\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000022847 rounded to seven decimal places?\nAnswer: 0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 932302*d + 932316*d - 4.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5565 and 1440715430?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 595270805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 24*w. Let n(m) be the third derivative of 0*m**4 + 0*m - 1\/60*m**5 + 4*m**2 - 8 + 0*m**3. Give o(n(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 77\/9*q - 1\/9*q**2 - 76\/9 = 0?\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + -4*(sqrt(612)*3 + -1) + (-2 + sqrt(612)*-3)*-3*1)**2.\nAnswer: -396*sqrt(17) + 5634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 45\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 8976363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -7*y**2 + 4*y. Let r(j) = 2*j**2 - j. Let v(q) = -g(q) - 4*r(q). Let k(c) = -43*c. Calculate v(k(p)).\nAnswer: -1849*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 - 32 - 37 + 86 + z.\nAnswer: z + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1906.8 + 1904.3. Let k = 5 + -5.08. Is k greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -416918*d**3 + 416919*d**3 + 176 + 318.\nAnswer: d**3 + 494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -i + 764. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 11:36 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 553481602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 6*t - 4*t. Put -1, -8, t, 2 in ascending order.\nAnswer: -8, -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.1  (b) -25\/4  (c) -0.03  (d) 0.3  (e) -4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3493514064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*r**3 - 4*r**3 + 3*r**3 + 3*r + 2*r**3 in the form j*r**3 + u + b*r + v*r**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3923 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: Work out -41.8 + -0.44.\nAnswer: -42.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 4 + 8. Let t(u) = m*u + u + 18*u - 5*u. Let o(w) = w**2. What is o(t(r))?\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (18 - 0) + -13 + 37 + -32 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -993.9010897 rounded to the nearest 10?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40782 and 2562?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*a = 65*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 2. Let s be u + 1 + -3 - -3. Let c be (1 + 3\/1)*s. Solve -3*q - 5 - c = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31223197651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y**2 + 10*y + 1. Let d be s(-5). What is the second derivative of -5 + 2*p**2 + d*p**2 + 0*p - 3*p - 4*p wrt p?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -175 + 385. Calculate the remainder when j is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 120.375 + -123. Let l = 10.345 - a. What is l rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6969573*u - 8*u**2 + 6969573*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 216*t**4\/11 + 1510*t**3\/11 - 21182*t**2\/11 + 196*t\/11 = 0?\nAnswer: -14, 0, 1\/108, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 347739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 43854383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4620 and 8130.\nAnswer: 1252020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*d + 4 = 2*d, -5*d + 15 = 0. Sort f, 4, 1 in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*w - 1439, 0 = 3*w + 76 - 61. Is v not equal to 1449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 - 2*q - 3. Suppose -14*n + 10*n - 76 = 0. Suppose -46 = 4*w - 6*w. Let v = w + n. Calculate k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z**(1\/3)*z))\/(z\/((z*z**(-15))\/z)))**(-1\/49) assuming z is positive.\nAnswer: z**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 528 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 72503 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 503549?\nAnswer: 503549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**4\/9 - 178*i**3\/9 + 190*i**2\/3 + 1666*i\/9 + 920\/9 = 0.\nAnswer: -92, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 6 - 2*o**2 to l*o**2 + p + x*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of z**3\/2 + z. Let n(v) = v**2 + 2*v. Let g(o) = 3*o**2 + 5*o. Let a(q) = -2*g(q) + 5*n(q). Determine a(l(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = n + 5. Suppose 0 = -3*c + 5 + 1. Suppose -141 = -4*m + o, 5*o - c*o = -3. Calculate the highest common factor of n and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 16*g + 322 = 0. What is the second derivative of -33*m**4 + 0*m**4 - 5*m**4 + g*m + 2*m wrt m?\nAnswer: -456*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -i - f, -2*i = 3*i - 3*f - 5. Solve i*s = 3*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 478992 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 11*t - 3. Let k(w) = 5*w - 1. Let s(q) = -13*k(q) + 6*p(q). Let m be 1*0*(4 - 5). Calculate s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-11))\/(y*y\/(y\/y**(-11))) assuming y is positive.\nAnswer: y**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a**6 - 2191*a**5 + 5*a**2 - 39381*a wrt a.\nAnswer: 600*a**3 - 131460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 11:56 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -52*c**3 + 76608*c**2 - 1231772*c + 3007248 = 0.\nAnswer: 3, 172\/13, 1457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.019 times 0.04\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22825 by -11.\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 2, 31 in increasing order.\nAnswer: -2, -1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*m + 726 - 3678 = 647*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -403.1 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -3*m - 23, -18*l - 24*m + 371 = 665 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 + -53. Suppose u = -5 + 12. Calculate the greatest common divisor of x and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5394)\/(-60) + (-4)\/10. Let m = n - 88. Let p be (-3 - (-1 - 3)) + 0. Put -4, m, p in descending order.\nAnswer: m, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**6)\/s)\/s)\/s*s**2)\/(s**(-1))**2 assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 532727?\nAnswer: -532725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2371, 9472, 21309, 37882?\nAnswer: 59191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*w = 54*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -3*y**2 - 1. Let q(w) = 74*w**2 - w - 2. Give -3*b(f) + q(f).\nAnswer: 83*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 3:00 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15196647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 140425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -17*v**4\/12 + 31*v**3\/6 - 5*v + 25. Let s(q) be the first derivative of p(q). What is the second derivative of s(y) wrt y?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 + 3.8. Let j = -2.6 - -2.2. Sort c, j, 0.5 in descending order.\nAnswer: c, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31*15*56\/(-420)*(-1)\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.8 + -8.6. Put -1, -37, w in increasing order.\nAnswer: -37, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-3\/5)*t**(-9)*((t\/(t**10*t))\/t)\/t**(-2\/3) assuming t is positive.\nAnswer: t**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**2 + 2*s + 1. Let z be u(-1). Let b(t) = -2*t - 4. Let d be b(z). Let y be d\/((-4)\/(-6)) - 403. Round y to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**(-2)*y**(-12)\/y)**(-48) assuming y is positive.\nAnswer: y**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1763116877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**3 + p**2 + 14. Let l be y(0). Let n = -1822 + 1832. Solve 0 = -8*o + l + n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gpgv when four letters picked without replacement from {g: 9, p: 1, v: 2, y: 2}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, k: 2, d: 3}. Give prob of picking 1 k and 2 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 2 + -12 + -6 + -8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.47 + 7.47. Sort -1\/7, o, 1, -1 in ascending order.\nAnswer: -1, -1\/7, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h + h + 6*h**3 - h**2 - h. Suppose -5*g + 3*o = -57, 5*g = o - 0*o + 59. Suppose -7*l + 4*l + 13 = -i, 4*i - 2*l = -g. What is b(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, t: 11}. What is prob of picking 2 t?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -21\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 7*d + 6. Let t = 71 - 55. Suppose -t - 44 = 10*x. Let b(v) = v**2 + 8*v + 7. Let w be b(x). Calculate m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -657*((-1)\/(-3))\/(-1)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -114*i + i**2 + 52*i + 55*i + 39. Calculate the remainder when u(0) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + 2 + (-4 - -8). Suppose 0 = -3*x + i*x - 4980. Suppose h + 4815 = -3*r + x, -r = 4*h + 1310. Round r to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 (base 8) in base 15?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 + 2)*(-581 + 2172 - 96)*(4 - 4 + d) as m + r*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 3125*x**2 - 20*x**4 + 43*x + 875\/2*x**3 + 1\/4*x**5 + 0. Solve d(s) = 0.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s - 3*s + s + 0*s - 4*s + 2*s - 1 + 1 - 2*s - 3*s + 4*s - 3*s + (0 + 0 + 2)*(-3*s - 2*s + 3*s))*(-3*s + 3 + 0*s + s) to x*s**2 + c*s + l and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5624370907 and 1789.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*r - 36 = 39*r. Solve v - 3 = r*i, -1 - 3 = -v + 3*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 548859 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (33\/6)\/((-2)\/(-20)). Is (-202)\/(-22) + (-10)\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 898132, 1796264, 2694396, 3592528, 4490660?\nAnswer: 5388792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 4*g = -2*g + 98, a = -4*g + 2. Let d(u) = 2*u**3 + 10*u**2 - u + 1. Let p(s) = s**2. Let h(v) = a*p(v) - 2*d(v). Determine h(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15482 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/380152 and 67\/1220.\nAnswer: 1900760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 259 a factor of 178244483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -8. Suppose -3*d - 3243 = -3*m, -d + 34 - 37 = 0. Is j\/(-9) + m\/6 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, x: 4, u: 2}. What is prob of sequence xxaa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -1166 in descending order.\nAnswer: -4, -5, -1166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 7*m + 8. Let o be v(8). Suppose o = 8*c - 2*c - 240. Suppose 4*u - 188 = -c. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m - 5. Let g be o(-4). Let d = g - 0. Differentiate -4 + s**3 - 4*s**d + 3 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 11, m: 6, v: 1}. What is prob of picking 4 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -22  (c) -15193  (d) -3  (e) -5  (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 - 35. Let f = -35\/123 + -2\/41. What is the nearest to -1 in o, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28 and 4036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -1\/60*s**5 + 0*s + 0 - 3*s**2 + 1\/2*s**3 - 1\/12*s**4. Let g be y(-3). Solve 2*t - 2*q + 2 + 4 = g, 4*t = -5*q - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m + m**2 + m**3 - 3*m**3 + 19*m to f*m + n + g*m**2 + j*m**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y**2 + 16*y + 3. Suppose -11*v - 190 = -49*v. Let d be l(v). Suppose 0 = 5*x + 20, 4*j - 14 - 6 = 2*x. Solve -j*t + 5 = -d*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4568 is divided by 376.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, m: 2, p: 2, f: 3}. Give prob of sequence mam.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**3 - 4*u**2 - 4*u + 9. Let z(o) = -3*o**3 + 5*o**2 + 5*o - 8. Calculate 5*m(h) + 4*z(h).\nAnswer: -2*h**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15*1\/(-2) - (-1)\/2. Let v(f) = -5*f - 13. Let x be v(h). What is the greatest common factor of 176 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 2:36 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 = -5*u + y, -3*y + 92 = -4*u + 1. Let i be u\/33 - (-116)\/(-6). Let v = -7 - i. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -4*p**3 + 2*p**2 + 2*p + 1. Let k be w(-1). Suppose k*c + 4 = 19. Let i be -3*(-1)\/c*11. What is the greatest common divisor of 121 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 5 = 0, -24 = -9*h + 4*h - 4*l. Suppose 4*m - 16 = 0, -5*b + 3*m = -m - 109. Solve h*p + b = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10544*g**5\/11 + 21094*g**4\/11 + 42164*g**3\/11 - 84376*g**2\/11 + 48*g\/11 = 0 for g.\nAnswer: -2, 0, 3\/5272, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*3\/(-2)*(-10320)\/(-7740)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.33 and 7.693?\nAnswer: 7.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -26*j**3\/3 - 185*j + 326. Let k(b) be the first derivative of d(b). Let x(p) = -3*p**2. Give k(x(i)).\nAnswer: 156*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 - 6073*h**2 + 9019791*h + 612219465.\nAnswer: (h - 3069)**2*(h + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -4*l**3 + 4*l**2 + 10*l + 5. What is q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -10 + ((-426)\/42)\/(-1). Solve 12\/7*r + x*r**2 + 36\/7 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1961 = 94*x - 175 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4211, 28082, 88491, 202310, 386411, 657666, 1032947?\nAnswer: 1529126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {l: 4, e: 11, t: 4}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -69, 0 in decreasing order.\nAnswer: 0, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 532 = 4*w - 30, 0 = 5*w - 15. Let z = -552\/5 - r. What is the second biggest value in 0.5, z, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5935 + 35527\/6. Let a = 2278\/315 + -1\/105. What is the common denominator of a and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 357\/27 - 10\/45. Suppose 16 = 3*b - q, 4*b - 4 - o = -3*q. Calculate the remainder when 9 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s + 1 - s - 2 + 0 + 0 + 3*s + s + 0*s + 0*s + (3 - 1 - 1)*(2*s - s + 0*s) + 4*s - s - s + 2*s - 6*s + 2*s.\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 10:17 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21943252 is divided by 4828?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -3*g**5\/5 - 3*g**4 - 3*g**3 + 6*g**2 + 12*g + 7. Find b such that z(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 80\/4*4\/8. Let k(y) = 8*y**2 - 9*y + 35. Let x(z) = 2. Let v(d) = k(d) - 3*x(d). Is v(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 4. Let y = 0.14 + 3.36. Let t = -3.9 + y. Sort t, 3, a in descending order.\nAnswer: a, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -345, -342, -337, -330, -321, -310, -297?\n\"Answer: y**2 - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -5. Let p = -2.64 + o. Round p to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3088105417.\nAnswer: 15731, 196307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/1710 and 73\/4788.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 301*l**3 + 138*l**2 - 277*l**3 - 141*l**2.\nAnswer: 24*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-10)\/(-6) + (-581 - -578)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 11, 14, -0.4, -2\/3, 0.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*t + 31*t = p + 10, -35*t - 100 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20256970 to the power of 1\/2, to the nearest integer?\nAnswer: 4501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (3 + (3 - 1) - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 921.2379km?\nAnswer: 921237900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 - 1. Suppose -d - 5*m = -22, w = 2*d + m + 2. Solve -l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 divided by 2719\nAnswer: 28\/2719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11883.\nAnswer: 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 29?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**1*o)**32*o**(-5\/4)\/o**(-1\/7) assuming o is positive.\nAnswer: o**(2657\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-2\/7))**(-8)*(u**(2\/5)\/u)**7)**(-49))**(1\/7) assuming u is positive.\nAnswer: u**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*m - 0. Suppose 0 = 5*r - 24 + 9. Suppose 0*a + m*a - 36 = 5*i, -5*i - 27 = -r*a. Solve 5*z - 14 = f, 4*z - a = -0*f + 3*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus -807319921?\nAnswer: -807319920.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 104 - (-26 + (-24 - -72)) - (-1 + -5 + -3)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1015, -2030, -3251, -4678, -6311, -8150, -10195?\nAnswer: -12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28446149*k**3 - 2648726*k**2 wrt k?\nAnswer: -170676894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.1?  (a) 0.055  (b) -5  (c) -1\/2  (d) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 34 = 2*a, -13 - 9 = -3*r - 2*a for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -13. Put 0, 2, q in descending order.\nAnswer: q, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5745507, -5745503, -5745497, -5745489, -5745479?\nAnswer: -5745467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j**3 + 7*j**2. Let o = 14 - 21. Let i(n) = -2*n**3 + 4*n**2. Let u(z) = -23*z - 19. Let y be u(-1). Calculate o*i(k) + y*a(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1743, 3532, 5325, 7116, 8899?\n\"Answer: -k**3 + 8*k**2 + 1772*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from otovtttotootoovoto. Give prob of picking 1 o, 1 t, and 1 v.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -8*m + 2*m - 3 + 3*m. Let w be n(-1). Suppose 4*l = s - 48, -122 = -2*s - w*s - 5*l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 10043?\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of 2*w**3 + 0*w - 5\/24*w**4 - 7*w**2 + 0 - 1\/60*w**5. Let j be k(-6). Calculate the highest common factor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -106, -565, -1650, -3673, -6946, -11781, -18490?\nAnswer: -27385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.3222 - 0.3222. Let f = -9 - -10. What is the nearest to -1\/4 in k, 2.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64913906.\nAnswer: 2, 41, 131, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 713*j = 711*j + 70. Solve -3*r = -0*r - 4*w - j, -r + 15 = -2*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.8984 decades to years.\nAnswer: 658.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 6:51 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -8*r**2 + 309*r + 122. Let a be f(39). Solve 0 = 4*n - 2*g - 10, -47*n = -42*n + g + a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160081?\nAnswer: 160081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21769 + -9659. What is g rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 113019858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/5 + -1)\/((-12)\/50). Let t(o) be the first derivative of -o - 1\/4*o**4 - 6 - o**2 - d*o**3. Determine t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 5*a**2 + 2*a - 3. Let l be m(1). Suppose -3*y = -2*y - 1, 3*v - l*y = 14. Let t(b) = 5*b - 12. What is the remainder when t(v) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 13408.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 12*f**2 - 7. Let l(g) = -11*g**2 + 6. Let w(i) = -7*l(i) - 6*s(i). Let t be 2\/(-3)*-1*3. Let j(v) = -2 - t*v**2 + 2. Determine w(j(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125 - 2*g**2 + 19*g - 125 + 19*g.\nAnswer: -2*g**2 + 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78102 - -27648083\/354. Find the common denominator of s and 79\/414.\nAnswer: 24426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/196125 and -79\/1125.\nAnswer: 588375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3508, -3509, -3510, -3511, -3512, -3513?\n\"Answer: -l - 3507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**5\/17 - 3048*w**4\/17 - 172490*w**3\/17 + 557172*w**2\/17 + 689992*w\/17 - 2179920\/17 = 0?\nAnswer: -1465, -62, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5233*x + 5230*x = p - 112, -3*p = 2*x - 77 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 158 + 112. Suppose -5*a + k = -5*j, j = 1 - 5. Calculate the least common multiple of 20 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4350193 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 5. Suppose -c*d - 3*d = -30. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 + 1552*d**2 + 6272*d.\nAnswer: -4*d*(d - 392)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 53?  (a) -2\/7  (b) 3  (c) 0  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**5\/195 + l**4\/52 + 2*l**3\/39 + 2*l**2. Determine c so that n(c) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.4 + -37.02\nAnswer: -33.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224720 is divided by 55737.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 12 = -3*y, 0 = 63*c - 64*c - 2*y - 8. Sort c, 5, -3 in descending order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.3, -0.5, 0, -1, 1.8, 30, 429?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 14556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 285209 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 132 = -3*a, -4*m + 4*a = 26 - 106. Calculate the remainder when m is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 5*z**2 - 9*z - 1. Let d be n(11). Suppose j - d*j + 71 = 0. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m**3 + 2*m**3 + m**3)*(-1 + m + 1)*(2 + 1 - 2)*(-5013 - 5017 + 10390) in the form x + v*m**2 + q*m**4 + g*m + r*m**3 and give q.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2604286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(-40)*i**(-1\/10))**(2\/119) assuming i is positive.\nAnswer: i**(419\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 12*f**2 + 61*f - 76. Calculate k(17).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 10 = 3*t, -u + 13 = 3*t - 6*t. What is the tens digit of 9 + -12*u\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(180\/(-12) + -5). What is the greatest common divisor of o and 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 3*v - 12942, 5*v - 2 = 3. Let l = -1173 - q. What is the tens digit of 1\/2 + l\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o - 3. Let l(c) = -89*c + 17. Let w(r) = l(r) + 5*t(r). Let i(g) = -48*g + 1. Give i(w(k)).\nAnswer: 4752*k - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*f*z**4 - 3035*f*z**2 - 2*f*z - 23*z**5 - 456*z**3 - 2*z**2 wrt z?\nAnswer: 144*f*z - 1380*z**2 - 2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 329 divide 89628568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c. Let y(u) = -27*u + 239*u + 142*u + 236*u. Calculate l(y(b)).\nAnswer: -590*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3487*y**3 - 5*y**2 + 315?\nAnswer: 20922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 AM and 12:55 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2397226, -8 in descending order.\nAnswer: 2397226, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 7*x. Suppose 4*t - 3*t - 5 = x. Let w be 209\/6 + (-2)\/(-12). Calculate the greatest common divisor of w and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - -1. Suppose 2*o - 2*y = 4, -2*y + u = 4*o - 7*y. Suppose o*d - 130 = -0*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 2. Let o(v) = 3*v - v + v + 5. Suppose 0*b - 380 = 5*x + 5*b, 4*b = 5*x + 353. Let u = 80 + x. What is u*z(h) + 3*o(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9253*h = -2*s - 9257*h - 12, 7*h + 12 = -2*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1094784 divided by 5702.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 2*w + 24. What is the smallest common multiple of w and (-520)\/(-29) - 280\/(-4060)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -246*z**3 - 7*z**2 + 38*z - 14. Let h(v) = -82*v**3 - 2*v**2 + 12*v - 4. Give 2*b(g) - 7*h(g).\nAnswer: 82*g**3 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 0*o + 10. Let n be -1 - o*(-3)\/6. Suppose 10500000 = -n*w - 3*w. What is w rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10141706*d**2 + 17604324*d.\nAnswer: 20283412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, n: 2, t: 1}. Give prob of sequence pnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.1 - -0.1. Let r = -0.17 - -0.22. Let k = 0.15 - r. What is the second smallest value in -5, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1005 and 1026225?\nAnswer: 68757075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -4*t**2 - 19*t + 7. Let h be u(-5). Factor 2*a**2 + h*a**2 - 8*a - 7*a**2 - a**2 + 4*a**3.\nAnswer: 4*a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 180 + -184. Let x(o) = 5*o**2 + 3*o + 6. Let d(y) = 6*y**2 + 4*y + 6. Give i*x(j) + 3*d(j).\nAnswer: -2*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -146815\/16621 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 6 + 4)*(-k - k + 3*k) - 4 + 2*k + 4 + (2 - 2*k - 2)*(1 + 0 - 3) + k - 3 + 3 + 0 - 2*k + 0 + 2*k - 4 + 4 + k - k - k to j + d*k and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15798459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -259 + c**2 + c**2 - 326 - 248 as u*c + t + y*c**2 and give t.\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110)\/(2*sqrt(891) + sqrt(891)))\/(-1*sqrt(32)*6) + -1)**2.\nAnswer: sqrt(5)\/324 + 419909\/419904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 + 22*(-2682)\/396?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 65\/15 + (10\/6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1897, 14581, 49007, 116047, 226573, 391457?\nAnswer: 621571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {u: 2, s: 2, r: 8}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 803 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 180*d - 539. Determine j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1535*0.04.\nAnswer: -61.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -42 - -5da?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -54 by 87.\nAnswer: -18\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-25)\/(-1))\/(-5)*(-10176)\/4240?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2629199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of c**7\/35 + 7*c**4\/24 + 7*c**2. Find the second derivative of a(w) wrt w.\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -47694143 by -1.\nAnswer: 47694143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -398*a**2 - 5. Let q(i) = i. Give q(h(r)).\nAnswer: -398*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14 and 387725.06.\nAnswer: 387739.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.997 - -0.003. Which is the nearest to z?  (a) -3  (b) -1\/7  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61518024835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 40*l**2 + l + 1. Let k(i) = i**3 + i**2 - 1. Let v be k(0). What is the remainder when f(v) is divided by (-40)\/(-3) + 8\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*y**2 - 9*y**2 - 99350 + 306*y**3 - 123*y**3 + 99349.\nAnswer: 183*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/84*3*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 + 8 + 11)*(3 + k**5 - 3).\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 396043993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + 2\/4*8. Let p(r) = -r + 9. Determine p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + 2 + sqrt(252) + sqrt(252) + -1 - sqrt(252))**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2*p = -2*h + 10, 4*h + 4*p - 20 = 0. Solve -8 = -4*j + j + q, -4*j + 4*q + 16 = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 1648389*i. Let a(w) = -17*w. Determine g(a(h)).\nAnswer: -28022613*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*x - 22*x + 2297830000 = 0. What is x rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s + 4, -2*v + 5*s = -3*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -16*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7060813 rounded to the nearest 10000?\nAnswer: -7060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -10*p**2 - 6. Let v(u) = u**2 + 1. Let r = -13 - -14. Determine r*h(m) + 8*v(m).\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5671, 4, -3\/4, 0.5, -5, 2.\nAnswer: -5, -3\/4, 2\/5671, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*o - 5 - 7*o - 2*o**3)*(1 - 1 + 3*o) as d*o**2 + z*o**4 + k + u*o**3 + h*o and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -245.5079 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*n - 227 + 185. Solve 5*z + 2 = n*m + 9*z, 3*m = 2*z + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - j**2. Let l(d) = 6*d**2 + d + 5. Let m(g) = 5*g**2 + g + 4. Let s(k) = 4*l(k) - 5*m(k). Give -2*s(t) + 2*w(t).\nAnswer: 2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nhx when three letters picked without replacement from {x: 4, u: 1, h: 1, l: 1, n: 6}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1145 - 115501?\nAnswer: -121050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 12:57 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-486)\/(-135)*(-40)\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 484525053.\nAnswer: 3, 53836117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80584 and 4172.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 6. Suppose n - 2*p + 17 = -5*p, y*n = -2*p - 23. Let b(l) be the third derivative of -l**4\/12 - 5*l**3\/6 + 21*l**2. Determine b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -7*1 - (-38 + 15 - (-12 - -1)). What is the biggest value in -0.1, 4, -2\/9, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44148 is divided by 1900?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-8)*((-13760)\/(-48))\/43\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/37800 and 151\/2160.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**3 + 14*x**2 + 13*x + 14. Does 7 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -1 - 4 - ((379 - 393) + (5 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -34, -188, -434, -766, -1178, -1664?\n\"Answer: f**3 - 52*f**2 - 5*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51*r**2 - 41*r**2 + 71*r**2 to the form q*r + h + g*r**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180) + -2 - sqrt(180)) + -2)*-1)**2 + (1*sqrt(180) - sqrt(180)) + sqrt(180) + -2 + 5 + 0.\nAnswer: 6*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4  (b) 1  (c) -1\/3  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2212678 is divided by 1106142.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3 + 15. Let z be (q\/(-6))\/((-6)\/(-8)). Let h be (-312002)\/8 + z\/(-8). What is h rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 + -17. Suppose 0 = -y*l + 4*l. Suppose 2*p + 60 = -l*p. Round p to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1418*m**3 - 2*m**2 + 1435*m?\nAnswer: -8508*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 101110461 to the nearest one hundred thousand.\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 455909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-67 - -31)*(2106\/4)\/(-3). Suppose -15*v = -15132 - c. What is v rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 34.8 and -3.2275?\nAnswer: -112.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -438867 - -443334011.\nAnswer: 442895144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*o + 445 + 4103 = 735 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 89 = 3*f - 4*y, 140 = 4*f + 2*y. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**4 - 4*f**4 + 6*f**4 + (10*f**3 + 441 - 441)*(639*f + 7424 - 7424) in the form z*f**2 + c*f + y*f**3 + t + p*f**4 and give p.\nAnswer: 6389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v + 9*v = 46. Suppose 0*j + 0*j**v - 1\/2*j**5 + 0 + 0*j**4 + 1\/2*j**3 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*p - 4*m, 3*p - 3*m - 12 = -m. Suppose p*x - 9 - 131 = -3*y, y = x - 35. Suppose -4*i - 3*j + 26 = -x, i = 3*j + 19. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*h**3*j**2 + 65*h**2*j**2 + 11*h**2 - 2*h*j**2 + h*j + 12009*h + j**2 wrt h?\nAnswer: -18*h*j**2 + 130*j**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(44) + -4.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 1178*z - 47105. Calculate f(40).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/1854 and -31\/78.\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89946135 + 5411.\nAnswer: -89940724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 24 + -24 + 10 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 94, -4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 352579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64762, 129618, 194474, 259330, 324186?\nAnswer: 389042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8.88 - -5.88. Let g be ((-5)\/(285\/(-12)))\/(-2). What is the third biggest value in 1, g, n, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39957020 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 1942533\nAnswer: -1\/647511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - ((-31 - -30) + -102 + -32)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {v: 2, g: 2, w: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 672493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1162, 2731, 4300, 5869, 7438, 9007?\n\"Answer: 1569*x - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 658763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -442538, -442536, -442534, -442532, -442530?\n\"Answer: 2*z - 442540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 55925\nAnswer: -2\/55925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*z + 31*z**3 + 20*z.\nAnswer: 31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -9, 3, 1, 74 in decreasing order.\nAnswer: 74, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-210))\/((-4)\/(-10))*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 5*y**2 - 5*y + 1. Let w be l(-6). What are the prime factors of -1 - 2 - 70\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 7*k + 60 = 0. What is the remainder when k is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 67, 126, 187, 238, 267, 262?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1348 + -1377. What is the fourth biggest value in 1\/8, n, -1\/2, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(9\/6*54\/729)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {m: 4, a: 2, y: 6, h: 1, o: 2, x: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - 3*a**2 + 2*a**2)*(0 - 1 + 0) - a**2 + 6*a**2 - 3*a**2 + 1 + 3*a - 4*a + 5*a**2 + 2*a + 31*a**2 - 20*a**2 + 99*a**2.\nAnswer: 116*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**3 - 3*f - 3. Let q(z) = -3*z**3 - 5*z - 5. Let w be (6\/(-4))\/(4\/(-8)). What is w*q(t) - 5*v(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 46519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16, -25, -38, -55, -76?\n\"Answer: -2*j**2 - 3*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -10, 3, -1\/46, 1, 4 in ascending order.\nAnswer: -10, -0.5, -1\/46, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/4 of a decade in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 23, -1.58, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -z**7\/30 - 149*z**6\/180 - 11*z**5\/36 + 7*z**4\/36 + 119*z**2. Let m(s) = 0. What is s?\nAnswer: -14, -1\/3, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7177 (base 9) in base 2?\nAnswer: -1010010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*p + 0*p + p - 2)*(-9*p - 2*p + 2*p) as x*p + w*p**2 + s and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + 0*n**2 + 0*n**2)*(0*n**2 - 3*n**2 + 0*n**2) - 2*n**4 + 0 + 0 - n**4 - 3*n**4 + n**4.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (319\/(-33))\/(2\/(-108) + 0). Suppose -2*p = -2, -5*y - 12*p + d = -15*p. Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/33)\/(l**(-15)*l) assuming l is positive.\nAnswer: l**(460\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/9)\/5*27\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111179244 is divided by 2730.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9028436 hours in microseconds?\nAnswer: 3250236960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 805128?\nAnswer: 2, 3, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -629*c - 3764. Let r be t(-6). What is the nearest to 1\/14 in -0.1, r, 1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 55*z**2 - 1737*z - 3. What is c(31)?\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -11  (b) -2  (c) 11\/7  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*x + 6*x + 6*x + x**2 - 4*x**2 - 3*x**2 + 2 as c + r*x + k*x**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 1. Let t(h) = -5*h**2 + 6. Let f(c) = 6*s(c) - t(c). Let p(y) = 1148*y + 1 - 1 - 1130*y. What is p(f(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3\/11  (b) 1  (c) -10250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-191*u + 191*u + 51*u**4)*(-3*u + u + 0*u) + (-1 + 2 - 3)*(0*u**2 + u**5 + 0*u**2) - 3*u**5 + 0*u**5 + u**5.\nAnswer: -106*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*c*l**4 - c*l + 2*c - 16*l - 650 wrt l.\nAnswer: -36*c*l**3 - c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 y when three letters picked without replacement from {t: 2, y: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((-1 + 4 - 5) + (-5 - -32)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -4. What is the units digit of 1 + (2*3 - y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19334315 and 20020?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13934*p**3 + 17845?\nAnswer: -41802*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3850, -16052, -36372, -64792, -101294, -145860, -198472?\nAnswer: -259112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 5*s**3 + 6*s**2 - 2*s + 11. Let g(v) = v**3 - v + 1. Let d(w) = -w + 9. Let n be d(10). Let u(i) = n*q(i) + 6*g(i). Is u(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - f = -90, -2*b + 3*b = -3*f + 30. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2 + 2 + 61463*t**2 - 61466*t**2. Let f(r) = -10*r**2 + 3*r - 1. Let j(w) = 21*w**2 - 5*w + 1. Let o(d) = -5*f(d) - 3*j(d). What is b(o(a))?\nAnswer: -507*a**4 + 156*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 84, 1, 5, 4 in descending order.\nAnswer: 84, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 2 = 2*c. Let a be -1 + 3\/(4 + -1). Let w(t) = -t**2 + 5*t + 4. Let b be w(5). Solve b*j + a = -c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2b (base 12) to base 6\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 28 = 2*i, 0 = 3*i + 2*h - 5*h - 36. Let o = 12 - i. Suppose -s + 9 = o*k - 0*s, 0 = -3*k + 3*s + 9. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 8*g**2 + 3*g - 1. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.777 - 3.8. Let y = -0.04 - g. Let t = 0.483 - y. Which is the nearest to -1?  (a) 0.3  (b) t  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 418 and 726814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0335 - 0.5695. Let m = n + 0.703. Let p = -0.4 - 1.6. Which is the nearest to 0.1?  (a) -21  (b) m  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r. Let m(o) be the second derivative of o**3\/6 + 83*o**2\/2 - 1842*o. Give s(m(f)).\nAnswer: -2*f - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 23 = 6*d, j = -61*d + 58*d - 8. Calculate the greatest common factor of j and 1715.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1963168*y**5 + 3*y**2 + 3*y - 77454?\nAnswer: -117790080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 1632  (b) 4\/5  (c) -1.21  (d) 2  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/132 and -53\/1063128.\nAnswer: 1063128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7323 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12.877 and 9.6?\nAnswer: 3.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -2\/5  (c) -2\/3  (d) -3  (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 893583.4ml?\nAnswer: 893.5834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a56 + 3?\nAnswer: 2a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 5*q**2 - 10*q - 5. What are the prime factors of w(-6)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + n = 1 + 1, 2 = 2*n. Let k be (1\/2)\/s*2. Let f = k + 7. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1624595717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 1324 divide 220745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-1\/4)*w)*w**(1\/8))**(1\/10)\/(w*w**(-3)\/w*(w\/w**(-2\/7))\/w*(w\/(w*w*w*w**(2\/11))*w)\/w**(-2\/7)) assuming w is positive.\nAnswer: w**(22471\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/5 + (5492\/16)\/((-25)\/(-3220)).\nAnswer: 3, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 14*k. Let l(n) = 12*n - 1. Determine -4*g(j) + 5*l(j).\nAnswer: 4*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 times 0.747503?\nAnswer: -5.980024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60836117 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 + 5*y - 5. Let o be x(4). Let z(n) = -1 + 5*n - 5*n - n. Let v(s) = -3 - 3*s + 2 - s. Determine o*v(p) + 3*z(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 43655 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 2*n + 30 = -5*y + 2*y, -3*y - 2*n - n = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + z = 2, 10*p - 379*z - 13 = -378*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hwdidbbhibdbdhbd. Give prob of sequence wbbd.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -559 + 559. Sort -5, 5, -14, s.\nAnswer: -14, -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = 801 - 801. Suppose -5*y - 508 + 643 = c. Calculate the lowest common multiple of (6\/4)\/(2\/28) and y.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-24)\/(-11) + (-105)\/33 + 3. Suppose 0 = -v - 5*h + 612, -4*h + 0*h - 1196 = -w*v. Calculate the lowest common multiple of v and 14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4569553\/5738100 - 6\/19127. Let m = 1\/300 - v. Which is the biggest value?  (a) m  (b) -2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**5 - 396*o**4 + 29193*o**3 + 63178*o**2 - 239976*o = 0?\nAnswer: -4, 0, 2, 101, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8 - 112) + 0 + 3. What is the hundreds digit of (-1)\/((-10)\/(-96))*1560\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = g + l - 4*l + 9, -l + 4 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, n: 12}. What is prob of sequence in?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 499866457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 3:10 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2083950 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (96\/7)\/(506\/(-1771))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(2 - (-67)\/(-34)). Let m = k + 49. Does 11 divide (6\/m)\/(3\/(-1980)*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.30562 + -2529.60562. What is p rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 249 - 240. Solve 0 = u*r + 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21963.78269 - 21966.2. Let a = u + 2.404. What is a rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*i**6*z + 2*i**4*z**3 + 3*i**4 + 2*i**2*z**2 + i**2*z + 16*z**3 wrt i.\nAnswer: 4080*i**3*z + 48*i*z**3 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1306626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 - -6) + (107 - 72).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 68 + -59. Suppose -2*a = y - 60 + c, 2*y - 2*a = 120. Let r be y*4\/12 - -3. Calculate the highest common divisor of 198 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 729, -0.9, -3, -0.2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 26. Let a(s) = -s**3 - 12*s**2 - 16*s - 14. What is the tens digit of a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9058 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*q*s**4 + 2*q*s - 7*q - 106*s**5 + s**3 + 22*s + 2 wrt s.\nAnswer: -24*q*s**2 - 2120*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -22092529*o. Let u(t) = -2*t. Calculate u(w(d)).\nAnswer: 44185058*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 291, 290, 289, 288?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 5*b = 17 - 1, -49 = 4*x + 5*b. Let i(h) = -27*h - 8. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 - 17. Suppose -5*q + 3*g = -1, 0*q - g = -5*q + z. Suppose 5*j - 5*d - 20 = q*j, -4*d - 29 = -5*j. Solve 0 + 3 = 2*w - 5*t, 10 = -5*w - j*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.4 - -7. Let i = 0.4 + w. Let d = 608\/3 + -203. Which is the smallest value?  (a) i  (b) 0.2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 717816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-1 + sqrt(567) + -1)**2 + sqrt(567) + sqrt(567) + 2 + -4 + -4).\nAnswer: -2825 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 3. Suppose -c*q = -4*q + 1. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (65 - 70) + (-2 - -3) + 13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**2 + 19*k + 14. Let x(p) = 2*p**2 - 9*p - 7. Let i(m) = 2*l(m) + 5*x(m). Let g(q) = -q**2 + q + 1. What is 6*g(n) + i(n)?\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of z**6\/30 - z**3\/2 + 4*z + 2. Let y(t) be the first derivative of k(t). What is the second derivative of y(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-22)\/20 - 8\/20. Let i = -18.12268 - -0.12268. Let r be (-6)\/(-9)*2\/(-4). Which is the nearest to r?  (a) i  (b) 5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + h**2 - 2*h - 2. Let b be f(-2). Let i(p) = p**3 + 4*p**2 - 2*p - 3. Let u = 6 + -10. Let z be i(u). Sort z, -5, b.\nAnswer: -5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -158b8b - -6a?\nAnswer: -158b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -0.2, -1 in increasing order.\nAnswer: -1, -0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 201*b**2 + 4283*b + 4289*b - 8586*b to q*b + c + m*b**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20995 + 20992. Let y(d) = -d**3 - 13*d**2 - 36*d + 6. What is y(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 4*b**3 - 8*b**2 + 11*b - 34. Let c be l(6). What is the highest common divisor of c and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*((-15)\/6 + 2). Let z(q) = -q - 14. Let n be z(-14). Which is the closest to 0.1?  (a) 1\/2  (b) s  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-12)\/(-4))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 110436533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2  (b) 2\/7  (c) 7\/33  (d) 3\/7  (e) 19  (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -129 + 131. Factor 0*x + 0 - 1\/2*x**5 - 2*x**r + 3\/2*x**4 + 0*x**3.\nAnswer: -x**2*(x - 2)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7440831 to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**2 + 26*x + 478. Determine u(25).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -379, -751, -1121, -1489?\n\"Answer: o**2 - 375*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/83 and -2037714 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 17 = 3. Is (-4470)\/(-54) - j\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9542 and 3718?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -620*d + 622*d - 28, 5*d - 22 = 2*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -c9d01 (base 16) to base 8\nAnswer: -3116401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*i, 9 = 5*m - 4*i + 3*i. Let s(v) = 10*v**3 - v**2 + 2*v - 2. Let p be s(m). Solve 4*r - 25 + p = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 66, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/17  (b) -810  (c) 2\/3  (d) -4  (e) 0.1  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-32))\/(11\/((-176)\/60)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -327 - 1209714528.\nAnswer: -1209714855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5 + 2 + 4*((sqrt(1331) + 1)**2 + sqrt(1331)) + -4*(sqrt(1331) + -2)**2).\nAnswer: -616*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 1414356, 2.\nAnswer: 2, 13, 1414356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 9:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -141 + 234. Suppose 6*v = 3*v + b. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(208) + 0.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46932620?\nAnswer: 2, 5, 7, 281, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -4*s + 23. Determine q(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 4. Let l = -578 + 579. Let d(o) = 7*o**2 + 17*o - 2. Let s(m) = l*d(m) - 2*x(m). Factor s(n).\nAnswer: (n + 3)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/3)\/((2\/(-66))\/((-78)\/429)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/19, -0.01, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1750922, -1750885, -1750848?\nAnswer: -1750811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of -x**6\/300 - x**5\/25 - x**4\/24 + 5*x**3\/6 + 2*x - 164. What is j in u(j) = 0?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 66*z**3\/7 + 11488*z**2 + 24269472*z\/7 - 137832192\/7 = 0. Calculate z.\nAnswer: -612, 184\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 579.64707s to days.\nAnswer: 0.006708878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 54\/(-4) + (-12)\/(-8). What is the remainder when 14 is divided by (-2 - 1)\/(r\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2165493 - -2165496.80000047. Let a = -3.8 + d. Round a to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + l = -47, f + 3*l - 19 = 5*l. Let o = f - 2. Let q(z) = -o + 20 + 3*z - 4*z. Let t(w) = -1. Determine q(p) - 4*t(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wvg when three letters picked without replacement from gygvllgwwgw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -3 and 8250289 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 150 = -2*m. Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201314690 at most 201314690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39031312 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17216?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from wkwoiwvowowzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -210001212202022 (base 3) to base 10\nAnswer: -11197259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5115454?\nAnswer: 2, 53, 48259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 109263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 72364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 13, 38, 71, 106, 137?\n\"Answer: -z**3 + 10*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33017\/144 - 3717\/16. What is the common denominator of z and -23\/224?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p = 7*p - 65. Let u = 3.2 - 3. Which is the third smallest value?  (a) p  (b) u  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -957811, -1915621, -2873431, -3831241, -4789051?\nAnswer: -5746861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*h - 3*h + 20*h)*(2 - 4 + 4)*(-38 + 17 + 15).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39*v**4 + 30*v**4 - 24*v**4)*((-3*v + 0*v + 2*v)*(0 - 3 + 1) + 14 - 14 + 5*v).\nAnswer: 315*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5089*m + 530*m + 326*m - 2879*m - 1432*m.\nAnswer: -8544*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -4. Suppose -1 - 2 = -c*m. Suppose 4*t = 15 + m. Solve -t*n = 3*l + 11, 0 = -4*l + n + 4*n + 37 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 190 + 325. Differentiate -46*z**4 + 103*z**2 - n*z**2 - 2 wrt z.\nAnswer: -184*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3)*d)**(-1\/41))**(-5)\/((d*d\/d**(-1))\/(d**13\/d))**(-16) assuming d is positive.\nAnswer: d**(-5914\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7982184 rounded to 3 dps?\nAnswer: -0.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 291 divide 37377495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.9197 and 2.\nAnswer: 3.8394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27241 + 8744336\/321. Calculate the common denominator of -33\/856 and k.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 7121\/3544?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -140 - -379. Let i = d + -239.000000261. Round i to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175114.6 kilograms in tonnes?\nAnswer: 175.1146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 67*z**6 + 3*z**4 - 2*z**2 + 574 wrt z?\nAnswer: 8040*z**3 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*p + 12, -5976*a + 10 = -11958*a + 5981*a - 5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33\/58 + -2\/29. Let k = 24.2 - 24. What is the second smallest value in t, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 1.5. Let z = -0.06 + 0.06. Let p = 3 - z. Which is the third smallest value?  (a) p  (b) -0.2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a - 11. Let z(u) = 4*u**2. What is i(z(f))?\nAnswer: 8*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183525 is divided by 22939?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 24146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -16*n**3 + 11*n**2 + 4*n + 31. Is s(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2 + ((sqrt(34) - (sqrt(4114) - (sqrt(4114) + sqrt(4114) + sqrt(4114)*-1)))\/(sqrt(32)*3))**2*3 + 0.\nAnswer: 353\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 12*v - 16. Let r be x(9). Let g = 16 - r. Suppose 0 = g*s - 5, -3*s - 9 = -z. Calculate the highest common divisor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2720450, -2720430, -2720396, -2720348, -2720286, -2720210?\nAnswer: -2720120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -12420000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of 1\/3*o**5 + 0*o**3 + 5\/2*o**4 + 0 - 1\/24*o**6 + 171*o**2 + 0*o. Factor i(j).\nAnswer: -5*j*(j - 6)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c + 5. Suppose 3*x - 7*x - 3*r + 91 = 0, r = -2*x + 43. Let b = 16 - x. Let i(u) = 3*u - 4. Calculate b*w(h) - 4*i(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 740256 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - ((14 - 30) + 2 + -5 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3421.\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/380 and 58\/336295?\nAnswer: 25558420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277 is divided by 89.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 14*g - 29. Let k be c(-14). Let n = k - -125. Is n a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 5*o**4\/4 + 2*o**3\/3 - o**2 + o + 2. What is the smallest common multiple of 1 and z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 19 = -3440*b + 3439*b, 9*r = 2*b - 50 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 = -5*k + 306. Suppose -6 - 14 = -5*b. Suppose 0 = -j + 18 - b. Calculate the highest common factor of k and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 3*n - 15, -5*o - 3*n + 18 = -1. Suppose -2*d - d = -60. Solve o*u + 3*u - d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*k**3 - 8*k**3 - 16*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/4))**26\/(r**0\/r*r)**(-5\/11) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1110\/(-1332) + (-1)\/((1\/(-2))\/1).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14903 by 5.\nAnswer: -14903\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150151 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 194805.849 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*z + 146*z - 5511 = f, 13767 = -5*z + f. Put z, 5, 3, 1, 0 in increasing order.\nAnswer: z, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20846439*p**2 + 20038889*p wrt p.\nAnswer: 41692878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*c**3*g**6 - 4203*c**3*g**3 - 450*c**3*g + c**2 + 11*c*g**2 wrt g.\nAnswer: 600*c**3*g**3 - 25218*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4739.\nAnswer: 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.37 and 0.2.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, j: 10}. Give prob of sequence uj.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvzvvvvvvzvzvzvvvvv. What is prob of picking 2 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6, o: 3, h: 1, z: 1, e: 2, j: 2}. Give prob of sequence hz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-10) + (-69)\/(-15). Suppose -4*l + 2*d + 12 = 0, d - 1 - 28 = -h*l. Solve 0*n + l = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21636638 divided by -8?\nAnswer: 10818319\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -163.4215 at least -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + d - d)*(2 + 0 - 3)*(-7 + 3 + 17).\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-31 - -23) + (5 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 v, and 2 b when four letters picked without replacement from obwboovbov?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (-7 - -8)) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -28660000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uwuf when four letters picked without replacement from {g: 3, i: 1, w: 1, f: 3, u: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**2 - 2*w + 379. Let k(y) = -40*y. Give l(k(t)).\nAnswer: -3200*t**2 + 80*t + 379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.061 * 0.2423.\nAnswer: -0.0147803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 284*x**3 - 319*x**2 + 3*x. Let c(r) = 1424*r**3 - 1596*r**2 + 16*r. Let t(i) = 16*b(i) - 3*c(i). What is the third derivative of t(j) wrt j?\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*t - 29*t + 96 = 5*p, -4*p = 3*t - 144. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 138 divided by 4760\nAnswer: 69\/2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 29 = n + 3*n, -3*j - 4*n = -119. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10211 + -12021?\nAnswer: -22232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 - 0.2038. Round t to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 423 + 909 = 0. What are the prime factors of c?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 10*o + 82. Let z be n(16). Suppose -2*i - 2*t = 3*i + 135, 3*i + 5*t = -81. Let c = z - i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 + 8*t + 25. Let r be g(9). Find the third derivative of -263*n**2 + 279*n**5 + 10*n**5 + r*n**2 + 17*n**2 wrt n.\nAnswer: 17340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -304555 (base 8) to base 13.\nAnswer: -36ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 116 = -4*j, -3*j + 43 + 49 = -5*c. Suppose j*u - 10*u + 67200 = 0. What is u rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4343?\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-684)\/(-19) - (129 - 61).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/2507 + 57649\/15042. Find the common denominator of (3 - 3) + 130\/(-112) and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -20*(15\/10 - 2). Let d be (-4)\/(12 + -8)*-5. Put -5, p, d, 0 in descending order.\nAnswer: p, d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.93 - -1.07. Which is the second biggest value?  (a) 4  (b) -0.01  (c) -1\/4  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/5 - 67*w**2\/5 - 131*w\/5 - 13.\nAnswer: -(w + 1)**2*(w + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 15*c**2 + 23*c + 6. Calculate j(13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*t - 3*q, 2*t - 3 = q + 9. Solve -5*a - 5 = t*w, -4*a = -2*w - w - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 4 - 1 - 15*n**3.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -3  (c) -258  (d) -4  (e) -8\/5  (f) -2  (g) -0.16\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1204 + 1666. Calculate the smallest common multiple of c and 24.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-7))\/3*63\/(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**2*l*q**2 + 6*g**2*l*q + 40*g**2*q + g*q**2 - 11*l*q - 2*q**2 + 29 with respect to l.\nAnswer: -2*g**2*q**2 + 6*g**2*q - 11*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -1, 5, 1, -580, -4, -27 in decreasing order.\nAnswer: 5, 1, -1, -4, -14, -27, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -18 + 8 + 0\/2. Let z be (-72)\/v*75\/(-6). Calculate the common denominator of 55\/16 and (1\/(-4))\/(z\/(-2740)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ivi when three letters picked without replacement from vbvivvi.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 6964*g - 132303. What is j(19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven quarters of a millennium in decades?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v + 10*v + 12 = 0. What is the remainder when 34 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 353 - 351. Suppose 32 = 2*l - 7*l + 2*c, c - 12 = 2*l. Let z = -5 - l. Solve 0 = j + z - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 1 = -11, -4*p + 5*j + 193 = 0. Let g be -4 - 8\/(24\/(-165)). Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 5, 70, -2, -42 in increasing order.\nAnswer: -42, -14, -2, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 10}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of s**7\/21 + 3*s**4\/4 - 11*s**3\/3 + s**2\/2 + 109*s. What is the second derivative of v(a) wrt a?\nAnswer: 40*a**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 0*p - 4 = 2*p, 3*j + 2*p = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8783 + -8777. Solve -9 = b + 2*n, 2*n - p = b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + 17 + 15 + -67?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jllljlll. What is prob of sequence jj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 13*f + 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*((-1)\/3 - 0 - -1). Calculate the common denominator of 51\/22 and 0 + b*(-39)\/36 + 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92 - 189. Let q = o + 102. Suppose q*j - 150 = 3*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*k + 3*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/12*(-16)\/(-40)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/1*230*47\/(-470)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-233)\/6*136\/(-3). Let u(b) = -14*b**2 + 6*b - 7. Let i be u(-11). Let q = p + i. Find the common denominator of q and 27\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 19. Suppose -67*y + 76*y = 738. Let h = 138 - y. What is the remainder when h is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67716 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2076*d - 1402. Let p be u(2). Calculate the highest common factor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 8:38 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-7))\/((-2)\/7). Find the common denominator of 79\/8 and q\/1 - (-91)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3846 is divided by 255.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -37\/5 at most as big as -20.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 18 - 2*l + 7 - 3 - 5. Let f be t(0). Solve -4*o + 5*j - 15 = -6, -3*o + f = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*h**2 - 3*h**3 - 6*h**3 + 8*h**3 - 3*h**3 in the form b*h**3 + j*h**2 + x + i*h and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -218?  (a) -2\/15  (b) -0.03  (c) -1\/5  (d) -3  (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8055 and 8013830?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1514, 1541, 1568, 1595?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6019740 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -132 + 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3975, -7946, -11911, -15864, -19799, -23710, -27591, -31436?\nAnswer: -35239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5627.\nAnswer: 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -308 divided by 1530\nAnswer: -154\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**2 + 246. Let f(d) = 2*d. Give f(w(p)).\nAnswer: 4*p**2 + 492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -425*o**2 - 98*o**2 - 1484*o**2.\nAnswer: -2007*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -10*w - 86. Give i(-19).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 102 - 94. Suppose -30 = -o*y + 3*y. Solve 3*n + 18 = y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**14*j)\/(j\/j**(-2\/25)*j) assuming j is positive.\nAnswer: j**(348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -15*m + 14*m - 17, -5*k - 20 = 0. Let l(h) = 12*h + 2. Give l(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 1:27 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 13*b**2 - 273*b + 273*b + 0*b**2 + 3*b**2 - 2*b**2 + (-2*b**2 + 4*b**2 + 0*b**2)*(-1 + 2 - 2).\nAnswer: -14*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(-7)\/c)\/(c\/c**(-7)*c))\/((c*((c\/c**(-3\/8))\/c)\/c*c*c*c)\/(c**7*c)) assuming c is positive.\nAnswer: c**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*l - 2*l + 0*l)*(8 - 1 - 81 - 186)*(-3 - 1 + 7) as c*l + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mwsb when four letters picked without replacement from sssbsswms.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.14 and 68.3?\nAnswer: -9.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/17 - (0 + -1). Let i(k) = -3*k + 28. Let j be i(10). Which is the smallest value?  (a) g  (b) j  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199084 is divided by 198822.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 229, 1715, 5719, 13501, 26321?\nAnswer: 45439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -155*m. Let c(x) = -3*x. Calculate c(i(s)).\nAnswer: 465*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6066 + -0.6066. What is the second smallest value in -307\/3, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nhpnpd. Give prob of picking 1 h and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -197*b + 31. Let d(n) = -n**2 - 9*n. Give a(d(c)).\nAnswer: 197*c**2 + 1773*c + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(270\/15))\/((-1)\/(-3)*3\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -6864, -13705, -20544, -27381?\n\"Answer: w**2 - 6844*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2001 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1916 and -47.\nAnswer: -90052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 142 and 8875?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 2*r**2 - 4*r. Let t be a(3). Let v = t + 5. What is the third derivative of 2*u**5 + 4*u**v - 4*u**2 - 2*u**2 - u**5 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n**2 - 151*n - 2184. Let z be d(-56). Solve -3*w + 35 - 59 = z for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*d + 4*g - 76, -12260 + 12206 = -4*d - 5*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -o - 8. Let l(m) = -m**2 + 38*m - 340. Let d be l(15). Sort o, d, 0, 13 in descending order.\nAnswer: 13, d, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 182\/(-4)*4\/(-6). Let a = 1007\/33 - k. What is the third smallest value in -0.4, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 212 = -8. Let h = q + 73. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 6 = 3*n + 9, 0 = 2*n + 4*s + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7581542 divided by -1?\nAnswer: -7581542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-1374)\/(-2290)*-1*(-10)\/(-16)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o + u - 28, 4*o - 44 = -0*o - 5*u for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 4*f = 5739. Let w = f - -21059\/11. Let n be (-2)\/(-1) - (-17)\/(-17). Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.47 + -10.53. Let l = 12.1 + u. Which is the closest to l?  (a) 0.4  (b) -2\/7  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -3156012?\nAnswer: 3156012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 4*z**2 - 10*z - 9. Calculate g(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -24*w - 6. Let l(b) = -12*b - 3. Let h(s) = -5*k(s) + 9*l(s). Is h(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = -25 - 7. Suppose 4*u - 32 = g*q, -5*u - q + 3*q + 28 = 0. Solve -4*s = -4*i - u, 4 - 11 = -5*i + 2*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4091398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 42\/13?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**3 - 5*n**3 + 0*n**3 + (-n + 3 - 3)*(3*n**2 + n**2 - 2*n**2) + 2*n**2 - 2*n**2 - n**3 + n - n + 2*n**3 + 4*n - 4*n + n**3)*(-14 - 7 + 1).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y + 0*y - y)*((-y - 1 + 1)*(-2*y**2 + y**2 + 2*y**2) - 1 + 2*y**3 + 1)*(-2 + 0 + 0)*(8 + 3 + 38).\nAnswer: 588*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -19*d**3 + 13*d**2 - 12*d + 6. Let b be k(-11). What is b rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 457 - 459. What is the third smallest value in -5, 4\/5, -0.4, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w - 9. Let c(a) be the first derivative of -a**2\/2 + 4*a - 1. Suppose -y - 10 = 4*b - 0, 0 = -4*b - 4*y - 16. Give b*d(p) - 5*c(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = -5*a - 3*p, 7*a - 9*a + 18 = -3*p. Solve -a*y - 3 = -33 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, u: 3}. Give prob of sequence duu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41947223.\nAnswer: 41, 233, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -4.85. Let k = -0.05 - l. What is the nearest to 0 in k, 1, 5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 10*i + 21 = 0. Suppose -4*s + 39 = -2*o + i*o, -12 = -2*o + 2*s. Let w(c) = -c**2 + 10*c - 17. Let g be w(o). Solve -3*z + g = -7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 6  (c) -3  (d) -0.2  (e) -6  (f) 7  (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.332634km to micrometers.\nAnswer: 332634000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -130 + 487\/4. Calculate the common denominator of 3\/4492 and k.\nAnswer: 4492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2238 + -2237. What is the second smallest value in 1\/6, z, 127?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 110011 + 255?\nAnswer: 110310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14905, -119432, -403157, -955678, -1866593, -3225500, -5121997?\nAnswer: -7645682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 24, 0.8158, 0.01, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 17*o**3\/2 - 2*o**2 - 250*o + 113. Let r(s) be the first derivative of u(s). Differentiate r(w) with respect to w.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1663, 3326, 4989, 6652?\nAnswer: 8315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.580032 rounded to 2 decimal places?\nAnswer: 62.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1\/2))**(-44))**10 assuming w is positive.\nAnswer: w**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 13.18. Sort -1, w, -0.3 in descending order.\nAnswer: w, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 5*b + 1. Let a(d) = 5*d. Let c(x) = -5*a(x) + 4*p(x). Suppose 6*s - 11 = 7. Calculate c(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/9 - 0\/(-4). Let m = -1\/2 - 0. Sort m, -1, h.\nAnswer: -1, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10406090.\nAnswer: 2, 5, 103, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -8*c - 1. Let p(o) = -o. Let u be (-3)\/3*(-8 - -1). Suppose 0*x = -u*x - 42. Let y = 0 + x. What is y*p(z) + q(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 23 = 3*f, -3*l + 65 = 4*f + 1. What is the lowest common multiple of l and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 133*a**3 + 49. Let v(f) = -11*f**3 - 4. Determine 4*i(g) + 49*v(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16460953903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1329, -2635, -3941?\n\"Answer: -1306*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100010011101010 (base 2) in base 6?\nAnswer: 1025214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5111013 (base 6) to base 3.\nAnswer: 110022202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 + 55. Let y be (1 + 1)*(-26)\/h. Is -16 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 7 - 22. Solve 5*a + 4 = -2*s, 2*s + 1 = -b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*g - 1 + 2*g - 376*g**3 - 1 + 374*g**3 to the form t*g**2 + m*g + o*g**3 + q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/((-1)\/10*-2). Let c(r) = r**2 + 3*r - 7. Let y be c(v). What is the third derivative of y*k - 3*k**3 - 6*k + 3*k + 2*k**2 wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 507 - 507.1. Let j = -2\/15 - 16\/105. What is the second biggest value in j, -4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -118 + 170 + 219*g**2 - 55 to j*g**2 + w + n*g and give j.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6588, 7, -52 in ascending order.\nAnswer: -52, 7, 6588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**2 + 428236084*m + 856472152 = 0.\nAnswer: -107059019, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u**2 - 92*u - 674. Let h(c) = -1 + 2295*c**2 + 0 - 2296*c**2 + 2*c. Let s(o) = h(o) + v(o). Find j, given that s(j) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2 and -1693016.5?\nAnswer: 1693016.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-125)\/(-20) + -6 - 8\/(-96). Find v, given that -4*v + t*v**2 + 12 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1573 take away 0.220639?\nAnswer: -0.377939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 12 - 0. Suppose -24573 = -d*z - z - 2*l, 4*z = -2*l + 32764. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(320)*-3*1 + -4*((6*(0 + sqrt(320)) - sqrt(320)) + sqrt(320)) + -2)**2.\nAnswer: 1152*sqrt(5) + 414724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 4:21 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12974752114.00000138 + -12974752255. Let h = s - -141. Round h to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10128\/3660 + 100\/3050?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -144, -435, -874, -1461, -2196, -3079?\nAnswer: -4110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1966*o = 1310*o - 1312 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20809 take away -16817.5?\nAnswer: 37626.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1043175 by -5.\nAnswer: 208635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/11*y + 2\/11*y**4 + 0*y**2 - 2\/11 + 4\/11*y**3.\nAnswer: 2*(y - 1)*(y + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 6*y**3 - 2*y**2 + 1. Let p be z(1). Suppose 5 = -p*u + 145. Suppose 3*k - u - 98 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 53 - 6*q**2 + 13 - 39*q + 0*q. Let l(d) = d**2 + 8*d - 13. Let x(h) = -4*f(h) - 21*l(h). Factor x(c).\nAnswer: 3*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.7763463 litres?\nAnswer: 776.3463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17 + (12\/(-288)*6 - 5111\/532)\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -75\/559, 0.1, -2\/13 in decreasing order.\nAnswer: 0.1, -75\/559, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**2 + 8*x - 4. Let y(r) be the third derivative of -r**5\/60 + r**4\/24 - r**3\/6 - 36*r**2. Let l(o) = -c(o) + 4*y(o). Factor l(n).\nAnswer: -n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001598 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -359a739?\nAnswer: -359a735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 7*a + 28*a**3 + 2 + 5*a**2 + 4 - 27*a**3. Determine o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-110)\/(-20) + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219983021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3*w = 2*s + 3, -3*s + 4*w + 13 = 0. Let x be 1\/(-4) + (-30)\/8. Let p = x - -7. Solve -p*f - 2*j = -3*j - s, f = -2*j - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.5 - -4.4. Let g = 76.66 - -12.64. Let t = g + -89. Which is the third smallest value?  (a) 1  (b) t  (c) 5  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 942 and 89970420.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 110361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 635.17 minus 76688251?\nAnswer: -76687615.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10)\/(-15) - (-8)\/6. Suppose -3*j = 3*i + 294, j + 0*i + x*i = -100. Find the common denominator of j\/44*10\/(-15) and -31\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14\/(-133) - (6 + (-359184)\/76)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 34*c + 16*c + c as l + k*c and give k.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/495*(-10)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(171) - 5*1*sqrt(171))\/sqrt(9).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 2*k + 3*y - 26 = 0, -3*y = -6. Let s = k + -6. Let x = s + 15. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 0  (b) -2\/9  (c) 2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from glzg. Give prob of picking 1 g and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4874058 divided by -1624686?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 1, s: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**3 + 2*m**2 + 35. Calculate the remainder when z(0) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 0.08843182.\nAnswer: -0.08843182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -20. Let y(a) = -a**2 - 7*a - 10. Let v be y(p). Let z(o) = 3*o + 2. Let d be z(0). Solve -d = -v*n - 0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5321 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -32\/3, -0.075, -21, -1\/4 in increasing order.\nAnswer: -21, -32\/3, -1\/4, -0.075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + -5 + 0 - (0 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-8)*-10*4\/1. Let d be 1\/5 - 130\/j. What is the fourth biggest value in 2\/9, 2, 1, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -251*c - 5955. Calculate the remainder when 1035 is divided by b(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21.990379*2.\nAnswer: 43.980758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.000144 + -1. Round r to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/(-5)*(-2880)\/(-1728)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3102225 and 2375?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/4?  (a) 1  (b) -47229  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6\/4*3*20\/(-45)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/14)\/(2\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**2\/3 - 7*f\/3 + 6 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -3, 23 in descending order.\nAnswer: 23, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -408*n + 402*n + 20364 = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j = -2*x - 16*j - 8, 0 = x - j + 7 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**2 + 472*i + 9376. Determine n(-66).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 1219*y - 12514. Let x(j) = j. What is g(x(c))?\nAnswer: 1219*c - 12514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 21713 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/3, 33\/2, -5, 0.2, 0.1, 4?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*c - 2*c - 16*c + 33*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7 - 2)*(-74 + -42). Let c = d - -1033. List the prime factors of c.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8771 and 5.\nAnswer: 43855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 94233 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -298643\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from boobooxboobbo. What is prob of sequence bb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4)*z*z**(-18))\/((z**16*z)\/(z\/(z\/(z**(-4)\/z)))) assuming z is positive.\nAnswer: z**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - 5*n**2 + 6. Let u(c) = c + 9. Let g be u(-7). Let q be g + -3 + 0 + 3. Let y be (-1)\/(q\/10)*1. Give l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 15793, 15791, 15803, 15841, 15917, 16043?\n\"Answer: 2*b**3 - 5*b**2 - b + 15797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 a factor of 24281259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 14*k**2 - k + 19. Let d be o(14). Suppose -d*m = l + 20 + 7, 5*m = 4*l - 17. Suppose -3 = 4*a - 3*a. Put m, a, 1 in ascending order.\nAnswer: m, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 13750909 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272 - 4172*q**3 + 266 - 538.\nAnswer: -4172*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 885.719 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 489159, 978244, 1467327, 1956408, 2445487?\n\"Answer: -m**2 + 489088*m + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.089 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 6. Suppose 0 = -a + 1, 0 = 3*g + p*a - 19 + 6. Sort 5, g, 22, 2.\nAnswer: 2, g, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41.99 - 44. Suppose -6*z + 38 = -2*p, -33*p + 29*p - 11 = z. What is the biggest value in p, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27 - 7*u**4 + 27 + 0 + 0 - 2*u**4 + (-2 + 2 + u)*(-3*u**3 + u**3 + 3*u**3).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p + 3599. Let r(w) = -13*w. What is m(r(s))?\nAnswer: 26*s + 3599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 83019 * -0.2627\nAnswer: -21809.0913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3508.6 + -2867. What is x rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 - 8)*(-3 + 3 + 1)*(2 + g - 2) in the form p + n*g and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/90 and 163\/2190?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/(17\/2)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 133.838 - 134. Let d = k - -0.15969. Round d to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -1. Suppose 8*z - u*z = 240. Let a be 2 - 1*z\/15. Which is greater: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -973, -3861, -8669, -15397?\nAnswer: -24045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m - 10*m = -1451475. Suppose -4 = 2*u, 5*b + 12904 = 5*u + m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 855?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 13*j + 3*j**2 - 5*j**2 + 4 - 5*j**2. Let y(q) = 3*q**2 - 6*q - 2. Determine 4*s(g) + 9*y(g).\nAnswer: -g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1957715969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -6. Let t = -2178.82 - -2179. Let r = 403 - 402.9. Which is the smallest value?  (a) t  (b) y  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9250362 is divided by 1556.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 386364 = 107916. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000035495 to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 4*v - 225. Let m = -41 + v. What is the highest common divisor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -55, -3, 36, -1, 0 in descending order.\nAnswer: 36, 0, -1, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3486022\/40893 - 3666\/43. Find the common denominator of w and -62\/5.\nAnswer: 4755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-675)\/(-12) - (-9)\/(-36). Suppose y = -2*s + 286. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16.1785 and 3035?\nAnswer: 49101.7475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3105918 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -5*t**9\/126 + 17*t**5\/30 + 7*t**2. What is the third derivative of g(b) wrt b?\nAnswer: -2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/1*(4 + 16). What is the highest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -14. Find the third derivative of 1444*v**2 - 1615*v**2 + 2*v**3 - 2*v + o*v + 49*v**5 wrt v.\nAnswer: 2940*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 90568494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 96740142 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3, -62, -2.\nAnswer: -62, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 1107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-14) - ((-1648)\/(-3605))\/(18\/(-45))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 6*a - 25. Suppose 4*k + a - 21 = 0, -4*s + 4*k + 464 = 0. What is the remainder when s is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 20 = -5*b, -2069 + 2078 = 9*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19020259 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1663*a**3*u**2 - a*u**2 + 6164*u**2 wrt a?\nAnswer: -4989*a**2*u**2 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.055 - 0.275. Let x = s - -0.03. Let w = x - 0.09. Round w to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, 0.17, -336?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-99)\/15)\/((-27)\/90). Suppose -4*k = 2*d + 3*d - 37, -2*d = 4*k - z. Solve 0 = 3*l - 2*a + 13, 7 = -5*l - d*a + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 5:23 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3781*t - 4*t**2 - 910189 - 842787 - 1515*t = 0. Calculate t.\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -19, -5, 38\/11?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9726 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5219098637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10085 from -37854.\nAnswer: -27769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + m**2 - 2. Let u be n(1). Suppose 2*d = -3*r + 529, u = -2*r - 0*d + 4*d + 358. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*w + 10860 = -150*w. Let x = -1063 + 210. Let d = w + x. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74d (base 15) to base 14.\nAnswer: -85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = r - 1. Suppose -6*p + 9*p + 27 = 0. Let d be (105\/9)\/((-3)\/p). What is the highest common divisor of r and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tfn when three letters picked without replacement from ttyqqnfn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -21 - -15) + -52?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 97 - 60. Suppose 2*c - k = -s, -3*s - c - 17 + 138 = 0. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 6 = 26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6743047\/2255 - -32892\/11. Calculate the common denominator of -18\/7 and z.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 3:39 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 110 + -106. Solve c = -h - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -38. Suppose -30 = -10*m + 5*m + 3*k, 2*m = -5*k + 12. Calculate the remainder when d is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, k: 1, v: 2, s: 2}. What is prob of sequence sv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4011111011 - -1013?\nAnswer: -4011104443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79951, 79955, 79959, 79963?\nAnswer: 79967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -275 - 50504?\nAnswer: -51001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yeej when four letters picked without replacement from {e: 9, l: 1, j: 1, y: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13258?\nAnswer: 2, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1012300113 + 11?\nAnswer: 1012300130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 47*z + 3*z**3 - 2*z**3 + 13 - 14 as v + b*z + a*z**2 + r*z**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/12*(-27)\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 3*j**2 - j. Let m be z(1). Let n = m + 3. What is the second derivative of n*p - p + 5*p**4 + 0*p wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -163 divided by 1594\nAnswer: -163\/1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-5)\/(w\/(w**2\/w))*w**(-3)*w**(-2))\/((w**1)**11)**(3\/37) assuming w is positive.\nAnswer: w**(-403\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 + n - n + 2*n + n**3 to j*n + g*n**2 + y + d*n**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*v - 5*f + 1085, -3*v + 5*f = -1619. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 181*c - 606. Let d(k) = 360*k - 1212. Let l(t) = 5*d(t) - 9*o(t). What is the first derivative of l(g) wrt g?\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.853252 rounded to two dps?\nAnswer: 4.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(65))\/sqrt(5) - (-3 + sqrt(1300) + -2).\nAnswer: -5*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1286*w - 675*w - 756 = 653*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -122, -145, -142, -113?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**5\/11 - 1950*x**4\/11 - 1956*x**3\/11 + 3904*x**2\/11 = 0 for x.\nAnswer: -2, 0, 1, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1, 5, -382, 2 in decreasing order.\nAnswer: 5, 2, 1, -10, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 37032624 divided by 9258156?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5222*y - 529 = -5245*y. What is the remainder when 433 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1913, -3830, -5749, -7670, -9593?\n\"Answer: -g**2 - 1914*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, -4, -5, 734, 2 in increasing order.\nAnswer: -5, -4, 2, 35, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16*k**2*r**2 - 8*k*r**3 - 9*k*r**2 + 65143*r**3 wrt k.\nAnswer: -32*k*r**2 - 8*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 11*k + 2*h + 18 = 0, 4 = -h. Let j be k\/(-6) - 1\/12. Find a, given that -1\/4*a + 1\/4 - j*a**2 + 1\/4*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-41)\/(-32) + (-30)\/(-20) and 31\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -246.52 - -246.51994832. What is w rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tgttgtcctttnvnu. Give prob of picking 2 v and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.053 + 0.147. Which is greater: h or -0.7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 789781.6 millilitres in litres?\nAnswer: 789.7816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-11)*b*b*b*b**(-6\/17)*b)**11 assuming b is positive.\nAnswer: b**(-1375\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f - 3. Let d = 9 + -11. Calculate the lowest common multiple of 1 + -1 + d - -11 and q(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1856*j - 1749*j + 2247 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -0.2, -1\/9, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 0*v + v + 0*v. Let i(w) be the third derivative of -w**4\/8 + 11*w**2. Give i(f(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 129519 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 303, -7, -4, -1\/2019 in ascending order.\nAnswer: -7, -4, -1\/2019, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vsuav. Give prob of sequence vuas.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 3*t - 2*t)*(-4 + 1 - 2)*(1 - 5*t + 9*t + 11*t)*(-7*t + 4*t + t).\nAnswer: -300*t**3 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 209653 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*f**2 + 9*f + 60.\nAnswer: -3*(f - 10)*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 618 by 3.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15758 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + 20*d + 1. Let q be z(17). Suppose 0 = -2*n + q - 8. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 13 = -2*k. Let c(l) = -l + 16. Let o be c(k). List the prime factors of (30 + 1)\/(o + -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away -0.0728?\nAnswer: -1.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 7 + (-15 - -5) - (1 + 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7984 + 2687 + 2707 - 2*z**3 - z**3 + 2590.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 7. Let y(d) = -24*d**3 + 1. Let p be y(-1). Suppose z = -4*z - p. Let l be u(z). Solve 2*o = 8, -b = l*b + 4*o - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12121 (base 3) to base 4.\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, 63, 267, 649, 1269?\n\"Answer: 10*c**3 - c**2 + 19*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2063*a - 1229. Let u be j(8). What is the greatest common divisor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**25\/x)\/x)\/x*x)\/(x*x*x**(4\/9)*x*x) assuming x is positive.\nAnswer: x**(167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - b + 2*b + 226 = 0, 0 = 4*d + b - 299. Suppose d = -2*z - 3*z. Let h = -11 - z. What is the highest common divisor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 263, -15, 2, -2, 18, 1.\nAnswer: -15, -2, 1, 2, 18, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.054 - -0.054. Which is the closest to 2?  (a) 2\/13  (b) f  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 26, 14, 2, -4, 2, 26, 74?\n\"Answer: u**3 - 6*u**2 - u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-7) - ((-350)\/525 - 12\/(-9)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 530*k - 534*k + 1058*k in the form z*k + l and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 12  (b) -9\/4  (c) 2  (d) 6  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1709\/11 - -155. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-76))\/(13\/52)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(48) + (sqrt(75) - (sqrt(75) + (sqrt(75) + -1)**2)) + -3.\nAnswer: -79 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/24*(-6)\/(-3))\/((-11)\/143).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*o, v + 4*v + 3*o - 7 = 0. Let j be v\/(-3)*(2 + -20). Factor -8*a + 2*a**5 + 2*a**2 - j*a**3 - 6 + 18*a + 2*a**4 + 2*a**2.\nAnswer: 2*(a - 1)**3*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)\/(-2*sqrt(3)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*m + m. Suppose 0 = -m*k + 6*k + 3. Let s(f) = 78*f**2 + f. What is the remainder when s(k) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -9. Suppose 0 = -5*x + 5*n + 60, -2*n - 59 = -2*x - z*n. Suppose x + 3 = 4*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/6 and (195\/(-24))\/(5\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 12) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -64003 by -2207.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 300\/45 + 6\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -590 = 210*d - 2*s + 452, s - 2*s + 1 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 2*a + 2*a + 3*a + 2*a - 4*a + (3 + 2 - 3)*(3 + 2*a - 3) + 3*a - 4*a - a + (-1 - 2*a + 1)*(0 + 8 + 2) + 3*a + 4*a + 4*a)*(-5 + 5 - 3*a).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q + 0*q - 6*q + 0*q + 3 to the form z*q + v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1175149*j**4 + 1051715*j**2 wrt j?\nAnswer: -28203576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31346.24kg to micrograms.\nAnswer: 31346240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 302)*-190*-10. Round j to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.12, -23, 0, -4, 2\/9, 0.05 in decreasing order.\nAnswer: 2\/9, 0.12, 0.05, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4762.2?  (a) 0.77  (b) 0  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 18. Let k = n + 7.7. Let c(y) = 6*y + 24. Let w be c(-4). What is the closest to w in 1, -3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.26 + 0.26. Let r = 7.5 + -1.5. Let k = r + u. Which is the third smallest value?  (a) k  (b) -1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 12:53 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4403 times -9471?\nAnswer: 41700813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -174.5 - -196.33. Let m = 26 - h. What is m rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011100120 (base 4) to base 3.\nAnswer: -22102111121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63538*10.\nAnswer: -635380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00786 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 258 divide 122034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -n**4 - 4*n**2 + 1. Let r(o) = -o**3 - 3*o. What is -3*m(g) + 8*r(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6007786 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + c - 12888 = 114835, -35 = 5*c. List the prime factors of l.\nAnswer: 2, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2*182\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1473 and 2.\nAnswer: 1.8527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - -3) + (-1)\/1 - 3. List the prime factors of (t\/2 - -228)*1\/2.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.5 + 1.5. Let w be 2\/(-7) + (-5)\/56. Let t = 26 + -26.1. Which is the nearest to t?  (a) y  (b) 0.2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 156*m. Let t be b(-1). Let d = t - -400. Is 49 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4982 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**3 + w**3 + 121 - 124)*(w - 4*w - 8*w).\nAnswer: -44*w**4 + 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {r: 1, t: 2, v: 4, m: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1122\/5, -1\/8, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 0. Let y be 0 + c + 4 + -3. Let m be 6\/y - 707994\/(-4). What is m rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of -r**4\/12 + 13*r**3\/6 + 7*r**2\/2 - 5*r. Let d be x(13). Let p = 13 - d. Solve 3*c - p*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 + -0.1. Let l be (-484)\/1287 - 4\/(-18). Which is bigger: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-34)\/(-272))\/((-3)\/24). Sort 0, 794, u in ascending order.\nAnswer: u, 0, 794","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2068577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -143 + 2?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**2 - 3*v**2 + 3*v**2 - 4*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -6.08. Let h = 0.12 + o. Which is the nearest to -0.2?  (a) h  (b) -0.3  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine fifths of a tonne in kilograms?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from {z: 5, h: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -146845 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2644530 = -3*g + 3*s, g + s - 43945 = 837563. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*w = 126*w - 29736. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13956 - -223207\/16. What is the common denominator of 121\/10480 and y?\nAnswer: 10480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 + o - 2. Let k be 136\/(-72) + 1\/(-9). Calculate s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -24. Let a = l + -9. What is the smallest value in -0.3, -1\/12, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {i: 1, u: 3, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -5. Let b(m) = m**3 - m. Let r be b(h). Solve 8 = 2*j - r*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 37*l**2 + 74*l + 34. Let p be m(39). Are -122 and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -213*c*g**2 + 30*g**2 - g wrt c?\nAnswer: -213*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 108*o**2. Let t(q) = -983*q**2. Give t(c(a)).\nAnswer: -11465712*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*d = 28*d + 556. Let c(b) = 5*b + 8. Let z be c(-14). Let a = d + z. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 159.865151 and -1.\nAnswer: 158.865151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2)*k*k**(-5\/2)*(k**(-1)\/k)**46*(k**(1\/6)\/(k*((k\/k**(-1\/3))\/k)\/k))**(1\/27) assuming k is positive.\nAnswer: k**(-7736\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1415062 divided by -1415062.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1922987182?\nAnswer: 2, 157, 6124163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**4\/6 - 7*b**3\/3 - 6*b**2 + 70*b - 127. Let n(r) be the first derivative of i(r). Factor n(m).\nAnswer: -2*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3.3. Let z = -4.11 + 0.11. Which is the nearest to -1\/5?  (a) z  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 877 + -873. Let u(v) be the second derivative of 11\/10*v**5 + 0 + 1\/3*v**7 + 16\/15*v**6 + v + 0*v**2 + 1\/3*v**l + 0*v**3. Factor u(b).\nAnswer: 2*b**2*(b + 1)**2*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 122*u**2 + 4237885 - 4247236 + 939*u**2 wrt u.\nAnswer: 2122*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8.7, -0.2749857, -1.\nAnswer: -1, -0.2749857, 8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2225, 2226, 2227, 2228, 2229, 2230?\n\"Answer: w + 2224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*k = -33*k - 20. What is the tens digit of 3 - -220 - (-7 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.09 - 0.04. Let q = x + -4.87. Suppose -4*m = -9 - 7. What is the nearest to -1 in m, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33650506 and 718.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s = -106*s - 1600 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (183 - 491 - 1219 - 2147)*(3*z**3 - z**3 - z**3).\nAnswer: -3674*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d**2 - 4*d**2 + 3*d**2)*(-2*d + 8*d**2 + 2*d**2 - 9*d**2) in the form k*d**4 + g + u*d**3 + p*d + n*d**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 322 = 6*g - 2*g, 3*g - z + 248 = 0. Let k = g + 82. Solve -4*i - u - 22 = k, -2*i + 9 = -5*i + 3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 23*c**2 - 3*c - 4. Let f be n(-5). Suppose 3 + 1 = g, 3*b + g = f. What is the tens digit of (-4)\/(-6) + b\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i - 1. Let z(r) = -190*r + 759. Let q be z(4). Let p(x) = 26*x - 3. Calculate q*p(j) + 2*c(j).\nAnswer: -28*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -241 + -3?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 9, -4, -2\/81, -0.5, 65?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 1505*u + 43171. Calculate l(-28).\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 832 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-205 - 5)*(0 - 4\/10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w + 1. Let x be 4\/18 - 116\/36. Let h be b(x). Suppose 3*d + h*p + 53 = 8*d, 2*p + 7 = d. Calculate the remainder when 37 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1461*j*m**3*z**2 + 7*j*z**2 - 701*m**3 + 4*m**2*z**2 wrt j.\nAnswer: 1461*m**3*z**2 + 7*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -935 = 4*t - 5*r - 942, -4*t - 2*r = -14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 511 (base 9) in base 4?\nAnswer: 12133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24312346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + -11 + 3 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(378)\/((2*sqrt(36) + sqrt(36))\/sqrt(6)))\/(sqrt(324)*2*6).\nAnswer: sqrt(7)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31265 (base 8) to base 4.\nAnswer: 3022311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**4 - 33514*j**3\/5 - 27901194*j**2\/5 + 299678594*j\/5 + 124333484\/5 = 0?\nAnswer: -1681, -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 2  (c) 20  (d) -0.4771  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -27\/668?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3636 - -36?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34440 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 4:04 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, t: 2, s: 2, z: 2, h: 1, k: 4}. Give prob of picking 1 x and 1 k.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24522 is divided by 204.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -285763890 to the nearest 10000.\nAnswer: -285760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334 + 82 = 16*k. Let c = k + -17. What is the smallest common multiple of 6 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.034927288 rounded to five decimal places?\nAnswer: 0.03493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24908 divided by 119.\nAnswer: -24908\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gpn when three letters picked without replacement from pppnngsgspppgssppppg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 359739244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24456?\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 4269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 129c (base 13) in base 7?\nAnswer: 10524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of l**8\/840 - l**7\/840 - l**6\/120 + l**5\/120 + l**4\/24 + 2*l**3\/3 - 5. Let s(q) be the third derivative of n(q). Factor s(w).\nAnswer: (w - 1)**2*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 - 3. Calculate the lowest common multiple of t and 246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 - -2)*(-1)\/4. Let f = -9830 - -9829.5. What is the closest to -1\/24 in -4, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1633.909 litres?\nAnswer: 1633909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/250 and 106\/525.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uabo when four letters picked without replacement from {a: 4, t: 3, b: 7, u: 2, o: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((((-8)\/2)\/28)\/(-1))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n - 5. Let r(a) = -3*a + 10. Let t(v) = -5*f(v) - 2*r(v). Let l be t(5). Let c be 6\/l + 24\/35. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/30905 and 47\/26490?\nAnswer: 185430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/6*(-5)\/5*18. Solve 4*p + 2*y - v = 1, y - 4 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5213 and 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/(-55)*2\/(-9)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3423\/5868*1\/(-7)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1832154251 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t. Let x(m) be the third derivative of m**6\/720 - 5*m**4\/24 + 4*m**2. Let j(d) be the second derivative of x(d). Calculate p(j(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 6*b - 27 = 0. Which is smaller: -0.04 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.6 + 6.8. Let r = l + -17. Let k = 1.400137 - r. What is k rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 688*n - 594*n + 47 = -141 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 11*q**3 - 11*q**2 + 10*q + 210. What are the prime factors of v(11)?\nAnswer: 2, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67105867 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1760, -13790, -46438, -110012, -214820?\nAnswer: -371170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 9, k: 4, c: 3}. Give prob of sequence ccc.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*k**3 + 8 - k - 8 wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*m + 14*m - 96*m + 5782 = 33*m for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -544599*z**3 - 50*z**2 + 159192314*z wrt z.\nAnswer: -3267594*z - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = -35*g + 31*g. Let q be g\/51 - 11\/(-3). Calculate the greatest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of -k**4\/24 - k**2. Let r(m) = m**3 + 5*m**2 + 5*m + 27. Let w be (-15)\/12*-1*(-13 + 9). Let v be r(w). What is i(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 4*c**3 - 8*c**2 + 8*c + 7. What is the remainder when o(4) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5*p + 3 = 0. Let v = -1153 - -1148. Put -1\/3, v, p in decreasing order.\nAnswer: -1\/3, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97624243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -11*f + 36. Let n(d) = -12*d - 5*d**2 + 1 + 1 - f + 18*d - d**3. Determine n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -c, -2*v + 2 + 0 = 0. What is the tens digit of c\/22 + ((-590)\/(-22) - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -1. Let f = 7\/4 + -13\/12. Factor c + 2\/3*p**3 - 2\/9*p**4 - f*p**2 + 2\/9*p.\nAnswer: -2*p*(p - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11.26 * -9\nAnswer: 101.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38938?\nAnswer: 2, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -558 divided by 18\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*(f**14*f)\/f*f**(-25) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/21096 and -32\/87021.\nAnswer: 696168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - 17*o + 493. Calculate l(13).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((68\/(-6))\/(-1))\/((-101)\/(10302\/272)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17508884 and 284.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 2.7. Let d = 1\/835 + 2497\/6680. Which is the third biggest value?  (a) d  (b) n  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -3*l - 27, -18*w = -17*w - 2*l - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 40583705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12.86 + -13. Let c = -0.96 + h. Let n = -1.2 - c. Sort -2\/9, n, -5 in decreasing order.\nAnswer: n, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284309701 a multiple of 4157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*((-10)\/15)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 254076 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 15 = 9*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 76 - -4356007?\nAnswer: 4356083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 2196.671.\nAnswer: 6590.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - l + 3*l)*(6*l**2 - 3*l**2 - 2*l**2) + l - l + 4*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -867\nAnswer: 1\/867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.4315 to one decimal place.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61773 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 21*y**4 + 3372*y**3 + 14859*y**2 - 18252*y = 0?\nAnswer: -156, -39\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c + 5*n + 3229 - 3203, 8*n = 4*c - 44 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence shhs when four letters picked without replacement from hhhsshhhhssss.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2332506 (base 8) in base 6?\nAnswer: 21345302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -46*j**2*y**3 + 22*j**2 - 108266*j - 69353*y**4 wrt y.\nAnswer: -138*j**2*y**2 - 277412*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Round -104.379551 to two decimal places.\nAnswer: -104.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*n**2 - 2*n**3 + 54*n**2 - 10*n**2.\nAnswer: -2*n**3 + 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -72988489*t**3 - 123103697 with respect to t.\nAnswer: -218965467*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*t - 529 + 529.\nAnswer: 70*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/116395 and 43\/116395.\nAnswer: 116395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -0.2303.\nAnswer: 0.04606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 5*b = -13, -25*l + 23 = -20*l + 4*b. Put 29, -3, 6, l in ascending order.\nAnswer: -3, l, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10, 16, 26, 40?\n\"Answer: 2*j**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 505357226 is divided by 101071444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -842, -841, -832, -809, -766, -697?\n\"Answer: t**3 - 2*t**2 - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-5 + 0 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1063 is divided by 81?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(13) + 1 + sqrt(13))**2 - (1 + sqrt(26)\/sqrt(2))**2 - (sqrt(1872) + ((sqrt(1872) + 0 - sqrt(1872)) + 4 - sqrt(1872))).\nAnswer: 2*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -13. Let f = -9 - -13. Solve -5*o + f*o = r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l + 4. Suppose 5*m = -5*g - 30, -2*m = -5*g - 5*m - 26. Let x be v(g). Solve 2*s + 2 - 4 = x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, k: 10, d: 4}. Give prob of picking 1 k, 1 d, and 2 m.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-2)*(61 - 7). Let f be (6\/18)\/((-3)\/h) + 5. Suppose -13 = -3*u + f. Sort 0, 2, u, -4 in decreasing order.\nAnswer: u, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h + 23*h + 25*h.\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 366 = -74*g - 4. Put -3, -314, g in increasing order.\nAnswer: -314, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 2 - (-581)\/(-1176)*4)*93\/62?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 3*n - 1. Let o = 4 - 6. Let z(f) = -f**2 + f. Let v(i) = -8*i**2 + 10*i - 1. Let m(h) = 2*v(h) - 18*z(h). Let s be m(o). Calculate c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -32*o**3\/9 - 36112*o**2\/9 + 18062*o\/9 - 2258\/9 = 0.\nAnswer: -1129, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from ddjjjdddjddj?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 12 + 13. Let w(b) = -50001*b**3 + 2*b**2 - 3*b + 2. Let h be w(v). Round h to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from gljetqt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15\/(-1)*(-5)\/15. Let z = k + -2. Solve -4*q + 2*q + 3*q**3 + 2*q**2 + z*q - 5*q**2 - q**4 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1731?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 225 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnninnnnnnnninninin?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38626 + 38626 + 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 939331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, -2, -0.3, 49, -1\/384, -3\/5?\nAnswer: -1\/384","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*b**3 + 8*b**2 - 8*b**2.\nAnswer: 139*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15768 and 6132.\nAnswer: 110376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 + 23*o + 14. Let x be f(0). Solve -9*a - 10 = -x*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -453 + 907\/2. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-270)\/55*((-22)\/(-550)*325 - (-74)\/(-6)).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 10*u - 52. Let a(x) = -7*x + 35. Let r(t) = -7*a(t) - 5*z(t). What is the tens digit of r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1210864*h*k**2 + 7918*h + 257*k**5 - 13437*k wrt k?\nAnswer: 2421728*h + 5140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 3:12 PM?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -1d751?\nAnswer: 1d754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {p: 3, u: 1, b: 1, a: 5, e: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 11*i - 108. Is 7 a factor of l(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 12  (c) 1\/4  (d) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -8. Suppose 4*l - 20 - 60 = p. What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bpyb when four letters picked without replacement from {p: 1, b: 2, y: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/5  (b) 0.132  (c) 0.4  (d) -13.7  (e) 2\/9  (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/2)\/(c\/(c\/c**7)))\/(c**3\/(c\/(c**(1\/6)*c))) assuming c is positive.\nAnswer: c**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/(-7) - 2\/7. Let v = 0.044204 - 836.124204. Let n = 836 + v. Which is the nearest to 0.3?  (a) y  (b) n  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 + -9 + 22 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 17*u - 3*u - 2 = 0, 5*u = -s - 16. Let v be -3*2 - (1 + -3). Sort v, s, 1.\nAnswer: s, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*(u\/u**(-1\/22))\/u*u))\/u**(2\/5))**(9\/10) assuming u is positive.\nAnswer: u**(-1431\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/((-48)\/74)*-1 and -25\/37.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 8*m + 2. Suppose -2*f = -0*f - 6. What are the prime factors of y(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)\/(sqrt(256) - (sqrt(256)*3 + sqrt(256))) + -1*(sqrt(19) - ((2*sqrt(19))**2 + 1)).\nAnswer: -25*sqrt(19)\/24 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 501*w**3 + 1667*w**3 + 1968*w**3.\nAnswer: 4136*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t + 4*t + 2*t - 5 + 2*t + 5 - t + 0*t + 2*t + (2 - t - 2)*(2 - 5 + 1).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 0.013  (c) -3  (d) 1\/20  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 226 + -230. Does 17 divide 6\/g*238\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -p - 295, -3*o + 315 = p - 562. Calculate the remainder when o is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.975 + -0.025. What is the third smallest value in 0.1, -4\/7, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -u**3\/2 - u**2 + 15*u\/2 + 18 = 0?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 49 - (-11 - -5 - ((-5 - 4) + -7))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of i**5\/60 + i**4\/24 - 4*i**2. Let m(c) = -2*c**2 - 7*c - 3. Let a(b) = -m(b) - 3*t(b). What is a(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.3, 4, -2 in decreasing order.\nAnswer: 4, 0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 6*v - 5*x - 10 - 25, -5*x = v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3421 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1192.316mg in micrograms?\nAnswer: 1192316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4817.04 - 4651. Let c = 166 - b. Which is bigger: c or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 4*g - 2061, -3*o + 3*g + 755 + 484 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 5*c = -7*c + 8, 0 = -b + 3*c + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -18 + 6 + 2 + 3 + 6 - t. Let v(y) = -2*y**3 + 4*y**3 - 2*y**2 + 3 + 3*y - y**3. Give -v(b) - 3*z(b).\nAnswer: -b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 + -6. Let h be 1\/q + 1240\/(-30). Let c = 73 + h. Is 32 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 38882 and 0?\nAnswer: 38882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 0*o + 4\/9*o**2 + 14\/9*o**3 + 16\/9*o**4 + 2\/3*o**5 + 0 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-185)\/20 + 4)*54\/(-14) and (-6)\/(-6*5\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -393 in -5, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 239114899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 divided by -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 111\/526028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of -w**5\/60 + 43*w**3\/6 + 2*w**2. Is m(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 13*n - 3 - 36*n + 22*n + 7. Let p be v(-22). Solve q + p - 23 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.441 rounded to 1 decimal place?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**4 + 188*h**3 + 208*h**2 - 752*h - 768 = 0.\nAnswer: -2, -1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, c: 2, m: 7}. What is prob of picking 1 c and 2 l?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -141864\/7 - -20299. Suppose -4*f + 2*t = 5*t + 134, 0 = 5*f - 5*t + 185. Let g = w + f. What is the common denominator of 50 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, n: 3}. Give prob of sequence nq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 117*u**2 - 2*u. Let z be p(-1). Let x be z\/11 + ((-224)\/(-22) - 10). Solve -10 = -9*n + x*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {p: 3, m: 1, l: 2, k: 1, q: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1356054571?\nAnswer: 1356054571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 595d6 (base 16) in base 5?\nAnswer: 43203123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**2 - 25*i + 7. What is v(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*w + 14, 0 = 2*q + 3*w + 11. Let d be (108\/90)\/((-1)\/q). Suppose 0 = -7*i + d*i - 1040. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-2)\/m*m**(1\/6)*(m*m**3)\/m**(-5) assuming m is positive.\nAnswer: m**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5, -0.01, -1\/10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 6\/7, 18, 3, -1\/6, 1\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.098964*-5\nAnswer: -0.49482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -25, -2*x + 2320 = 5*g + 3*x. Let i be 10\/(-66)*(-3 - g\/66). Let l = -1\/121 + i. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, -158, -293, -486, -743, -1070, -1473?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 60619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8034, -32110, -72238, -128418?\nAnswer: -200650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26318369.\nAnswer: 7, 11, 53, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -87 + 85 - (1 + (0 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 10*o - 2. Determine u(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 310274 + -4200?\nAnswer: 304074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*i + 19, 2*i - 5*l + 2 = 5. Let s = i + -3. Let n be 6\/s - (-2 + 3). Solve -3*x + 35 = -0*o - n*o, 0 = -3*o - x - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75106, -75110, -75116, -75124, -75134, -75146?\nAnswer: -75160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.63 - 0.23. Let h = 1.4000134 - c. Round h to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14.3 times 1567.54\nAnswer: -22415.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 3*l**4)*(1 - 2 + 2) + 2*l + l**3 - 3*l**3 + 0*l**3 - 2*l**4.\nAnswer: l**4 - 2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4688 divided by 4420.\nAnswer: -1172\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1742, -1120, -66, 1420, 3338, 5688?\n\"Answer: 216*h**2 - 26*h - 1932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 24*d + 772*d + 315*d in the form g*d + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 354*c**4 + 2*c**3 - 2*c**2 - c - 3308?\nAnswer: 8496*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -4*w**2 + 957. Let o(k) = k**2 - 261. Let h(i) = -6*g(i) - 22*o(i). Let x(m) = m**2 + 1866. Determine x(h(n)).\nAnswer: 4*n**4 + 1866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1659 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 145662, 145659, 145656, 145653, 145650?\nAnswer: 145647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**5\/40 - 5*x**3\/6 + 23*x. Let z(y) be the second derivative of o(y). Let h(a) = 2*a. Determine h(z(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 481*u + 1470 = -5495 - 250 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of j**6\/20 + j**5\/12 + 5*j**3\/6 - 57*j**2 + 1. Let b(u) = -5*u**3 - 4*u**2 - 4. Determine -5*b(o) - 4*t(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-10)*(-5)\/(-13). Which is the nearest to -0.1?  (a) -2  (b) 1\/4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 6:38 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214*v + 4*v**3 - 1 + 214*v.\nAnswer: 4*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 5:12 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*u - 13*u - 9*u to the form j*u + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -176, 6.\nAnswer: -176, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l + 223. Let p(g) = 3 + 1297305*g - 3 - 1297306*g. Give p(m(d)).\nAnswer: -d - 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x - 6 = 2*h - 12*x, -2*h + 4*x + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*x**3 - 19*x**3 + 60*x**3)*(0*x - 3*x + x) - 92*x**4 + 95*x**4 + 146*x**4.\nAnswer: 119*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3\/11  (c) 22  (d) -2  (e) -0.4  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 6)*(8 + 8 - 7)*(148 - 20*h - 148) in the form k + j*h and give j.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -13*n + 3. Suppose 0 = -4*x + 4*k - 12, -4*k + 5*k = 0. What are the prime factors of c(x)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3*i**2 - 36*i - 216. Determine m(18).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 181560 <= 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8567\/2 - -4288. Let y(i) be the first derivative of -9\/5*i**5 + 2*i**3 + 1\/2*i**6 + 3\/2*i**4 - c*i**2 + 3*i - 20. Factor y(w).\nAnswer: 3*(w - 1)**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/25*(-13)\/364*(-70)\/(-21).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5440836 is divided by 198?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -3 + -11 + 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h**(-1\/13)*h)*h\/((((h\/(h\/((h\/(h**18\/h))\/h*h)))\/h*h)\/h)\/h*h) assuming h is positive.\nAnswer: h**(235\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*c**2 - 31 + 31 + (-c**2 - c**2 - c**2)*(1 - 3 + 4) + 46 - 46 + 5*c**2 to the form k + w*c + j*c**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyv when four letters picked without replacement from vvyvvvyyvyvy.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-18)*(-8 + 0). Suppose o = -2*j + 6*j. What are the prime factors of 7 + (j - 2)*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 2*z - 8. Sort -0.1, 0.05, z, 1.\nAnswer: z, -0.1, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 3*z + 2*z + 24, 4*t = 4*z. Let d be 2*z\/6 - -8. Suppose d*c = 5*c + 2. Solve -o - c = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 22*t**2 + 23*t + 4. Let v be n(23). Suppose 5*o - 111 = 2*h, -5*o + v*h = -4*o - 15. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -3*f + 22. Calculate the highest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -3*d**3\/2 + 7*d**2\/2 - 2*d - 46. Let r(s) = -s + 1. What is -g(h) + 5*r(h)?\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppfxxxpfx. Give prob of picking 2 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**2 - 3*h**2 + 2*h**2)*(2*h**2 - 14 + 275*h + 5 + 11).\nAnswer: -2*h**4 - 275*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 0 in decreasing order.\nAnswer: 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 351521\/24 + -14652. Calculate the common denominator of k and 75\/274.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 + 59. Let w(k) = 72*k**2 + 7*k + 6. What is the units digit of w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14464722?\nAnswer: 2, 3, 17, 141811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 4 = 5*a, -3*a + 8 = 2*x - 0*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 3*z + 3 = z, -2*z + 9 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27\/50 - -1\/25. What is the nearest to 1 in -5, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 9256973686?\nAnswer: 9256973672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11124138.5 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 5 + 3)*(1 - 3 + 3)*(3*v**3 - 7*v**3 + 5*v**3) in the form s*v + u*v**3 + m*v**2 + j and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-7 - 2) - (8 + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 5 - 21. Let c(l) = -l + 3. Let d be c(p). What are the prime factors of d*(2 + -15 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*u - 0*g - 2*g, 5*g = 3*u - 1. Suppose 11*c - u*c = 484. Let l = -68 + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.954625273 + 1358\nAnswer: 1354.045374727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.16 - -2.2. Which is the third biggest value?  (a) s  (b) -2\/13  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-48)*4*165\/275 + (-45)\/250.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.15, 5\/2, 0.2 in increasing order.\nAnswer: -0.15, 0.2, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 795082007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*c + 7 = 0, 5*o - 2*c + 3 - 56 = 0. Suppose -4*r = -3*k - 3*r + 9, 3*r = 0. Calculate the highest common divisor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**4\/6 + 2550409*s**3\/3 + 15302473*s**2\/2 + 61209916*s\/3 + 40806616\/3 = 0.\nAnswer: -4, -1, 5100827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (15\/(-27))\/(2\/(-3)). What is the closest to 0 in -6, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 4\/3, -2.2, -258, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (0 - -4) - (-27 - -19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 6 + 14. Let o be 20002 + -3 + (-4)\/h. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 489*i**4\/4 + 540*i + 425. What is the derivative of o(q) wrt q?\nAnswer: 1467*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47157 - 1116?\nAnswer: 46041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 10 - 17 = -5*t, 0 = -t - 4*k - 9. Solve -2*u - 2*o + 2 = 0, -2*u - 3 = t*u + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 3*s - 4. Suppose -4*v + 3*v = 5*j - 48, -2*j = -4*v - 28. Suppose -2*p + 5*d - 2 = 6, -j = 5*d. Let a = p - -4. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 648338618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/360 and -79\/44.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 2*c**2 + 4*c - 1. Let k be -1*2 + 584 + -12. Calculate the remainder when (0 - -4)*k\/24 is divided by i(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2052758 or 2052757?\nAnswer: 2052758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 10, 0 = 4*l + 2*d - d - 34. Suppose 5*y + 5*q = 45, 5*q = -3*y - l + 36. Let w = -13 + 19. Calculate the greatest common factor of w and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.33408 rounded to 1 decimal place?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 693 = 9*p. Let j = p - 73. Solve -5*c - j*m + 26 = 0, 0 = 3*c - 3*m + 3 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 5:51 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiiixiidxid. Give prob of sequence dxd.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0018562 to 5 decimal places.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-55)*(1155\/126)\/(30\/(-24))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5989393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 174224414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26.86 - 0.14. Let d = w - -24. What is the biggest value in -1, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 295229?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s. Let f = -334 + 331. Which is the nearest to 0?  (a) f  (b) -2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000381 rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) -0.1543  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/84 and 71\/40937988.\nAnswer: 40937988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 4. Suppose 4*k - 90 = m - 26, k + g*m = 16. Solve -4*b - k = 3*t, -36 = 5*b + 4*t - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**2. Let g(o) = -2*o - 3. Let j(k) be the second derivative of -k**3\/6 - 2*k**2 + k. Let u(z) = -4*g(z) + 3*j(z). Determine l(u(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) 8  (b) 0.3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10186849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.49365mg to nanograms.\nAnswer: 16493650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/8))**(2\/43)\/((i*i**(-31)*i*i)\/(i\/i**9*i)) assuming i is positive.\nAnswer: i**(3609\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49\/5 - 10. Let z = -7\/3 - -2. Let o(x) = x**3 + 7*x**2 + 2. Let r be o(-7). Which is the closest to z?  (a) r  (b) 4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 227453 is divided by 4076?\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*c - 55*c - 3*z + 1 = -112*c - 4, 4*z + 16 = -16*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**3 - 3*a**2 - 6*a + 3. Let v(x) = x**2 - 1. What is d(s) + 3*v(s)?\nAnswer: 3*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58 + 39 + 61 + 2*r**2.\nAnswer: 2*r**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 344 + 2 + (-8)\/(-4). Let x = 719 - w. Suppose -2*k = -0*k + s - 259, -2*s - x = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**4 + 4*j**4 + j**4)*(43681 - 1145*j - 43681) + 2*j**4 - j**5 - 2*j**4 + (3 + 0 - 5)*(0*j**5 - 2*j**5 + 0*j**5).\nAnswer: -1142*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 982?\nAnswer: 7856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1442 (base 5) in base 6?\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 11, n: 2, z: 2, p: 5}. What is prob of sequence vvv?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -0.0723  (c) -0.3  (d) 278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*z - 1)*(2 + 2 - 3 + (-4 + 3 - 1)*(2 - 6 + 2)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 152 and 19000?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1065 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 7, b: 7}. Give prob of picking 4 l.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -52, -1.32, 14.2?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/2574 and 29\/14?\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 2*i - 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*u**3 + 25 + 96*u**2 - 22*u - 126*u**2 + 49*u - 7*u + 5*u**4.\nAnswer: 5*(u - 5)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-4 + 1 + 5*(-5 + sqrt(112)*-2)))**2.\nAnswer: 2240*sqrt(7) + 11984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -242 - -596. Is h a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 27*u**2 + 61*u - 59. Let g be o(29). Solve -6*r = 8*r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81406 is divided by 4116.\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7920) + 2*sqrt(7920) + sqrt(7920) - sqrt(1375)*2)\/(4*sqrt(125)*1 + sqrt(125)).\nAnswer: 38*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 50 = -t + 47, 0 = -5*t - 15. Put 7, 3, b, 8 in increasing order.\nAnswer: b, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.327 + -0.783. What is z rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**3 + 3*r**2 - 21*r. Let j(p) = -17*p + 17. Determine 4*j(i) - 11*o(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41.9 - 42. Let d be 20\/(-16)*4\/3. What is the second biggest value in v, d, 2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**5 + 0*v**5 - 8*v**5 + (0*v - v - v)*(-23*v**2 - 18*v**4 + 23*v**2).\nAnswer: 26*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 649\/118*(-2)\/5.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 10:47 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -214 + 40. Let z = -174.00000077 - i. Round z to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m + 8 = -2*v - m, 7*m - 4 = v + 11*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of 2*p**3\/3 + p**2 - 3*p + 16. Let h be a(1). Solve 5*f - 2*g - 12 = 0, -h = -f + 5*g + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**4 - 4340*u**3 - 72624*u**2 = 0.\nAnswer: -1068, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -45 divided by -69\nAnswer: 15\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 28 = -2336. List the prime factors of w.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/16647 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*2*sqrt(700)*4)**2 + -3.\nAnswer: 179195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i = -16*i + 165. What is the common denominator of i and -53\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -18, -104, -190?\n\"Answer: -86*x + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -228347\/20 - -57088\/5. Determine s so that -m*s**4 - 9\/4*s**2 - s + 0 - 3\/2*s**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 + 74*f + 216. What is t(-33)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -4  (c) -1\/5  (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/2 + 1097*n**2\/4 + 7209*n\/4 + 1665\/2.\nAnswer: -(n - 555)*(n + 6)*(2*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2538 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 6*b**2 - 2*b - 1 + 0*b**2 - 3*b**2 + 0*b - b**3. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/290113322 and 83\/66494.\nAnswer: 290113322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-69)\/(-5)*600*(-187)\/(-22440)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/(a**(-2\/5)*a))\/((a\/(a*a\/(a\/(a*a*a**(-7)))))\/(a*a**(-3))) assuming a is positive.\nAnswer: a**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1030)\/(-40) + -26)*(1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o + 4. Let d be l(7). Put 3, -2, d in descending order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (8 - (8 - 8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1767419037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 52*p**2 - 6 + 14*p**2 - 26 + 10 + 17.\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from sdvksdxddkvsiddsd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 82*a + 78*a - 8 = 0, 2*j - 3 = 5*a. Solve 0 = -5*y - j*o + 61 - 57, 0 = -5*y + o - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*h + 7 - 893*h**3 - 1540*h**3 + 26*h + 28*h**3.\nAnswer: -2405*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 37*s**2 + 6*s + 24. Let q(p) = -560*p**2 - 91*p - 364. Let l(y) = 182*k(y) + 12*q(y). Let j(c) = -21*c - 25. Calculate l(j(f)).\nAnswer: 6174*f**2 + 14700*f + 8750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of -5*v**3 - 4*v. Let w(a) = a**2. Let o(d) = 3*d**2. Suppose -3*f - 9 + 3 = 0. Let t(c) = f*o(c) + 5*w(c). Determine t(h(g)).\nAnswer: -900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3990855 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*b**5 + b**4 - 172*b**3 + 64*b**2 wrt b.\nAnswer: 120*b**2 + 24*b - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*o - 81*o + 34*o.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1814\/687 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l - u - 81 + 79, 0 = l + 3*u + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12986510, 12986519, 12986528, 12986537, 12986546?\nAnswer: 12986555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 910.0656mm in meters?\nAnswer: 0.9100656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90 - q**3 + 583 - 219 - 226 - 228.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/8*(-600)\/(-300).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 14*a**2 - 6*a - 76. Let d(g) = 12*g**2 - 5*g - 77. Calculate -6*d(s) + 5*r(s).\nAnswer: -2*s**2 + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -36c1cab1 - 5?\nAnswer: -36c1cab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 102\/(-85)*(-20)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -19944 divided by -5?\nAnswer: 19944\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.9626 to one decimal place.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 52 = 4*r, -5*u = -135033*r + 135055*r - 11 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 36*w**2 + 2*w - 13. Let p be j(7). Suppose 4*k - y = p, 3*k + 2*y + 0*y - 1310 = 0. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-30 - 0)\/(12\/8). Let u = 24 + w. Find the second derivative of 12*j + 15*j**u + 12*j - 12*j wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(5\/(0 + -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(132))\/sqrt(3) - -3*(sqrt(220)\/sqrt(5))**2.\nAnswer: -2*sqrt(11) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.1906 or 1?\nAnswer: -1.1906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 78*c + 783*c - 185*c + 164*c + 78960 for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) -9\/8  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 269, 1215, 2785, 4973, 7773, 11179, 15185, 19785?\n\"Answer: -x**3 + 318*x**2 - x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-21664)\/(-2) - (3 - 5). Suppose -2*b + 5688 = 4*t - d, 5*b = 3*t + 41357. Suppose -24731 = f + b. Round f to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4319007 centuries to millennia.\nAnswer: 0.04319007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 264 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 11:38 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3.832 times 54494\nAnswer: 208821.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -78.702 less than 1467699.3?\nAnswer: 1467778.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -870.49984.\nAnswer: -870.99984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*h**4 - 2*h**4 - h**4)*(3 + 0 - 1 + (-2 + 1 + 2)*(1 - 4 + 0) + 5 + 4 - 4) in the form s*h**4 + g*h + b*h**3 + t + o*h**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-116 - 85 + 260)*(4*y - 6*y + 3*y) + 3*y - 3*y - 9*y in the form t*y + z and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - j**2 - 9. Suppose 5*v = -21*q + 26*q - 25, -13*q = 3*v + 79. Let y(z) = 2*z**3 - 2*z**2 - 17. What is q*y(d) + 9*o(d)?\nAnswer: d**3 - d**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 40 - 12*y + 12*y - 93 + 59*y wrt y?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 102  (b) -282  (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019543 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 90917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 93306 and 5.8?\nAnswer: 541174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 194 = 149 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -21. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -170, -204, -260, -344, -462, -620?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62430924229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11093 or 11123?\nAnswer: 11093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2060 and 1854.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 380484296*l**5*t**2 + 2*l**2*t + 12*l**2 - 3837*l*t**2 - t**2 - 6*t + 10 wrt l?\nAnswer: 22829057760*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 32*f**2 + 10*f + 1. Let o(q) = -11*q**2 - 3*q. What is 2*l(r) + 7*o(r)?\nAnswer: -13*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seventeen sevenths of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160 = w - 2*t + 7*t, 4*w - 3*t = 617. Differentiate -w*d + 69 + 2*d**2 + 149*d + 2*d**2 wrt d.\nAnswer: 8*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = -3*b - 8. Suppose -14 - 66 = -5*a. Calculate the lowest common multiple of (-1)\/(-2) - b*(-18)\/(-24) and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 10*b. Let p be d(2). Suppose -4*z - 12 = -8*z. Suppose 560 = z*i + i. Calculate the highest common factor of p and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 111*v**2 - 8*v + 5. Let n be ((12 - 0)\/(-4))\/1. Let y be ((-21)\/5 - n)\/((-5)\/(-25)). Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3443 - -641. Let k = y + -44895\/11. Calculate the common denominator of 89\/6 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*f - 28 + 121*f**2 + 29*f - 17 - 120*f**2.\nAnswer: f**2 - f - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31666?\nAnswer: 2, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 12527.\nAnswer: -2\/12527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k + 2*k - 3*k)*(-4 + 1 - 1) + (-k - 3*k + 6*k)*(-3 + 2 - 3).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h + 123 = -l, -2*l + 3*l + 446 = -13*h - 13*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/19 + 1 + 2043\/(-1539).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7722*x = 5*y + 7715*x + 17, -16 = 4*y - 5*x for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10718 and 46.\nAnswer: 10718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*c - 75*c - 4*y = 284, 3*y + 81 = 2*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 less than 9250.34?\nAnswer: 9261.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-111 - -102) + (4 - (-5 - 4 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -j**5\/60 + j**4\/24 + j**3\/3 + 5*j**2\/2 - 3. Let w(z) be the second derivative of g(z). What is the units digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 4392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.038166?  (a) 5.7  (b) -5  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3687.\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14181*m = -14251*m + 3360 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - r - 2)*(37 - 43 - 73).\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 15*m + 9. Suppose -70 = -4*w - 2*n, 3*n + 11 = w - 3. Let q(d) = d + w - 12 + 7*d. Calculate 6*j(r) - 11*q(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2)*y)**47\/((y\/(((y\/((((y**(-3)\/y)\/y)\/y)\/y))\/y)\/y))\/y**14) assuming y is positive.\nAnswer: y**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 4*f**2 - 3*f - 3. Let j(w) = -w. Let o = -9036 - -9039. What is o*j(r) - m(r)?\nAnswer: -r**3 - 4*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2116000 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8228.914 weeks in milliseconds?\nAnswer: 4976847187200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6340 and 11.78.\nAnswer: 6351.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.865 - -0.035. What is the closest to -1 in z, -0.5, 2\/9, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-4\/11)\/q*q*q)\/q*q)**37 assuming q is positive.\nAnswer: q**(666\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 197*o**2*q**5 + 66*o**2 - 5*o*q + 6*o + 9600*q**5 + q - 2 wrt q.\nAnswer: 3940*o**2*q**3 + 192000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 23*r + 112. Let g be d(7). Suppose g = -30*n + 50*n - 1420. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27308.475 - -3?\nAnswer: -27305.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*n**3 - 6*n**2 - 115*n**3 + 219*n**3 + 6*n**2.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 14 + 6. Let r be (-2 + 0)\/((-4)\/(8\/p)). Let z(o) = 2*o**2 + o + 0*o**2 + 0*o**2. Give z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -r**4\/6 + 11*r**3\/3 + 375*r**2. Give h(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-7)*m*m**(-2\/21))**32\/(((m*m**(-2\/7)\/m*m)\/m)**(-15)\/(m\/(m*m**(-1)*m))**31) assuming m is positive.\nAnswer: m**(-598\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/((6\/(-18))\/(1\/3)). Let w be ((-24)\/36)\/(s - (-4)\/(-114)). Suppose w = 3*t + k - 6, -2*t + 2*k + 22 = 0. Let f(l) = -l**2 + 12*l - 10. Calculate f(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**4 - q**4 + 0*q**4)*(78*q - 38*q - 34*q) + 0 + 0 - 2*q**5.\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -3)*(2 + 1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by -1263?\nAnswer: 5\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b**2 - 942*b - 46332. Give k(-61).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14681*v**2 - 36921*v**3 + 46562*v**3 + 2365*v**2 wrt v.\nAnswer: 57846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 4*t - 546, 2*s + 274 = -t + 3*t. Suppose -14*h + t = -6*h. Let x = h + -20. Sort 5, 2, 3, x in descending order.\nAnswer: 5, 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {s: 1, f: 4, z: 1, j: 1, b: 5, d: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*w + 3*w + 4*w)*(-126 + 9 - 12 - 60 + 5) to t + l*w and give l.\nAnswer: -2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9498.829 centuries to millennia.\nAnswer: 949.8829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-217)\/49*(-12)\/6?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of -4*((-8)\/40*278)\/(12\/135) and 90.\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*f**2 + 27*f**2 + 13*f**2 + (2*f - f + 0*f)*(2*f - 2*f - 2*f) - 3*f**2 + 1 - 1 - 7*f**2 + 6*f**2 + 2*f**2)*(-2 - 1 + 0).\nAnswer: -153*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-130)\/(-6) + 1\/3. Suppose 21 = 2*q + s, -5*s - t = -q + 5. Calculate the highest common factor of 9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 120, 147, 158, 153?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -133, -627, -1407, -2437, -3681, -5103, -6667?\n\"Answer: 6*y**3 - 179*y**2 + y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o + 47 + 17 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 955.6 + -956. Let q = -350 + 349. What is the nearest to n in q, 7, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 66634445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*(-3)\/(-18)*-3. Solve -5*f + 4 + r = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -60*b**4 + 18*b**3 + 280*b**2 - 11*b wrt b?\nAnswer: -1440*b + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 18*p - 15. Let w be f(6). Let k = -78 + w. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 4*y - 3410 - 2791, 2*u - 12422 = 3*y. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48\/84*(-1 + 5 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 780?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 4*g**2. Let c(j) be the third derivative of -j**6\/720 + j**4\/4 + 7*j**2. Let y(u) be the second derivative of c(u). Give i(y(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 239 - 242. Let k be (-2*w\/(-4))\/(30\/(-80)). Factor 0 - 2\/3*j - j**2 + 2\/3*j**k + j**3.\nAnswer: j*(j - 1)*(j + 2)*(2*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x - 21 = -3*d + 19*x - 7*x, -2*d - x - 2*x + 19 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 3777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/3741 and 53\/1430454?\nAnswer: 61509522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -7*x - 15 + 26*x + 15. Let s(p) = p**2. What is s(w(i))?\nAnswer: 361*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 37184636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.14 and 2.738.\nAnswer: 0.38332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n**3*v**3 + n**3*v - 83362*n**2 - 43121*n + 2*v**3 + 4*v wrt n?\nAnswer: 12*n*v**3 + 6*n*v - 166724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 10*g - 23. Calculate i(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qdbdbqqtqt. Give prob of sequence dqqd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2390*p**2 - 8*p - 669. Let d(f) = -4791*f**2 + 18*f + 1340. Let l(b) = -4*d(b) - 9*o(b). What is the first derivative of l(y) wrt y?\nAnswer: -4692*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4*k - 1. What is l(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 564 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 11*c - 3906. Let l be g(89). Calculate the highest common divisor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzzaanlnaazl. Give prob of picking 1 l and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1543540059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 - 4*p**5 - 30*p + 7*p**4 - 17*p**3 - 55*p**2 + 9*p**5 + 8*p**4.\nAnswer: 5*p*(p - 2)*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13259 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 198 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 0.4, 0.2, 2.7 in decreasing order.\nAnswer: 2.7, 0.4, 0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sjx when three letters picked without replacement from xxxxjxjejxxssexjjxxj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -8*w. Let s be 680\/18 + (-16)\/(-72). Let l(i) = i + s - 38. Determine c(l(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - 0) + (-3519)\/195. Let r = 66\/5 + b. Which is smaller: r or 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63890 is divided by 4534?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, n: 2, r: 1, y: 1, t: 1}. Give prob of picking 1 r and 2 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 3*o - 48. Suppose 2*b - 2*t - 11 = -t, 2*t + 16 = 3*b. Calculate the lowest common multiple of b and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18.196 - -1.196. What is the nearest to -6.4 in s, -3, 0, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(3) + 1*sqrt(3) + 3)**2 + (sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(5)*4 + -1 + 0.\nAnswer: 25 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -90271.721 to the nearest one hundred.\nAnswer: -90300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 36 + 9\/(-3) - -1. Let r = a - 21. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.108*0.1\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -613 and 2.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 9*z**2 + 3*z + 86. Let b(r) = -17*r**2 - 7*r - 185. Determine -3*b(j) - 7*f(j).\nAnswer: -12*j**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 92552 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k - k + k + (-3 + 3 - 6*k)*(2 - 2 + 9) + 3*k - 3*k - k + 4.\nAnswer: -56*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -739\/689 - -65\/53. Sort q, 0.4, 8, 14 in decreasing order.\nAnswer: 14, 8, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 2*v - 4. Let c be (1 + 1\/(-2))*8. Let l be b(c). Let s(i) be the third derivative of i**4\/24 + 2*i**3\/3 + 2*i**2. Determine s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = -15 + 39. What is the tens digit of (-2 - -6 - -9)\/(2\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9831*q**3 + 25764*q**3 + 146268*q**3.\nAnswer: 162201*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5\/4 - -53\/36. Let c be 2 + (-48)\/20 + 0. Sort n, -2\/11, c.\nAnswer: c, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 28*y**2 - 3*y + 5. Let f be n(4). Suppose f = 4*w - 415. Suppose -5*x - w = -2*z - 47, -x - 163 = -2*z. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 + 532 = -61*r. Is r bigger than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.352 - -0.282. Let h = -9 - 29. Let t be h\/(-9) + (-5 - -1). What is the third biggest value in t, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1708*m + 1097*m + 63544 = 0 for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(3\/11))\/((((v*v*v*v**(2\/9)*v*v*v)\/v)\/v)\/v)*(v**(-1\/2))**(-47)*(v*v**2\/v*v**(-1\/11))**31 assuming v is positive.\nAnswer: v**(15985\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 3*q**2. Let s(t) be the first derivative of 78 - 25\/2*t**2 + t. Calculate s(v(w)).\nAnswer: -75*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.979 + 2.021. Let k(g) = -2*g**2 - 10*g - 12. Let h be k(-8). What is the nearest to 3\/4 in h, 0.4, 3\/2, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 65, 4, 2, -3 in descending order.\nAnswer: 65, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8680 by -70.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {j: 2, f: 2, a: 2, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in 13215, -324\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 2:46 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-9\/5)\/x)\/(x\/x**(-1\/10)) assuming x is positive.\nAnswer: x**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6463 - 6459. Which is the third smallest value?  (a) -2  (b) j  (c) 4\/5  (d) -7  (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -6.8. Let f = -5.6 - -6. Let u = 0.03 - -0.17. What is the nearest to x in -3\/8, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2734?  (a) 2  (b) 1\/2  (c) 6264\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -24*q - 11. Suppose -9*s = -37*s - 308. Let u(g) = -5*g - 2. Give s*u(i) + 2*l(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-2\/3)\/(f\/(f\/(f*f*f*f**(1\/5)*f*f))) assuming f is positive.\nAnswer: f**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, g: 6, v: 3, n: 4, e: 4, o: 1}. What is prob of sequence vm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 9*u**2 + 12. Let b be k(-9). Suppose b*v = -2*v + 28. Find s, given that 0*s + 0*s**v + 0 - 1\/2*s**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-46)\/12*(-2)\/8 and 106\/156 + -8*(-9)\/(-432).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + 6*w + 5. Let j be z(-5). Let r = j + -1. Let x(m) = 16*m + 21*m + 20*m - 54*m. What is x(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 6:38 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -6*x**2 + 124*x - 80. Let z be u(20). Which is smaller: z or -10\/1243?\nAnswer: -10\/1243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 57 - 54.02. Let b = 0 - 0.02. Let o = b - i. Sort -2\/7, 5, o in decreasing order.\nAnswer: 5, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14\/5, 1\/3, 119 in decreasing order.\nAnswer: 119, 1\/3, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 996299053.\nAnswer: 2957, 336929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 25*y**2 - 4*y + 592. Let d be x(-26). Calculate the highest common factor of d and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -265*f*i**3 - f*i**2 - 29*f*i wrt i.\nAnswer: -1590*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2413 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 397302345 a multiple of 2226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qizz when four letters picked without replacement from zzzqqqzqiq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*s - 111*s + 219*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 + 2*a + 46. Let r be h(-18). Calculate the highest common divisor of 42 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y**5 + 123*y**4 + 462*y**3 + 780*y**2 + 552*y + 96 = 0. What is y?\nAnswer: -4, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 974337 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -127*h**2 - 6*h + 2. Let q(w) = 253*w**2 + 14*w - 5. Determine -5*a(z) - 2*q(z).\nAnswer: 129*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*3\/(27\/(-15)). Let s = -2 - w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10186782913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -454 + 466. Let p(w) = -66*w - 4. Let c be p(-5). Let x = c + -194. Calculate the greatest common divisor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 8*t**2 + 2*t + 16. Let n be j(-8). Let a(p) be the third derivative of 0*p**4 - 1\/300*p**5 + 0*p**3 + n - 2*p**2 + 0*p. Factor a(b).\nAnswer: -b**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/4, -0.4, -34, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of z**5\/60 + z**4\/12 - 2*z**3\/3 + 9*z**2. Calculate h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3071295, 6142599, 9213911, 12285231, 15356559, 18427895, 21499239?\n\"Answer: 4*u**2 + 3071292*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 89201774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 9:47 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z**3 - 9*z**2 + 7*z + 7. Determine t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1\/w**(-6)*(w*w\/(w*w**(-6\/7)))\/(w\/w**(-6)))**8 assuming w is positive.\nAnswer: w**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2680 greater than or equal to 33\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -26. Suppose -2*x - 5 = r*x, 2*b + x = 265. Find the second derivative of 12*n**2 - b*n + 113*n + 4*n**2 wrt n.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -n**3\/3 + 5*n**2\/2 + 2*n. Let w = 12 - 8. Suppose -w*h - h + 15 = 0, 5*h = -2*r + 23. What is g(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*n + 35 = 0, -5*p - 31*n = -26*n - 35. Solve -2*y + m = p, y + 16 = 2*m + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 334\/140 - (13167\/912)\/(-77)*(-16)\/30.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 2 = -3*s, 2*s + 3*a = 5*a + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/3  (b) 92\/7  (c) -3\/7  (d) 0.23  (e) -1  (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -532.991 minus -63?\nAnswer: -469.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of -1\/75*y**5 + 22*y**2 + 1\/20*y**4 + 0 - 1\/300*y**6 + 0*y**3 + 0*y. Solve x(t) = 0 for t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 4*b**2 + 5*b + 4. Let o(y) = 5*y**2 + 6*y + 4. Let r(a) = -3*o(a) + 4*u(a). Determine r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1008, -3\/2, -1\/2.\nAnswer: -3\/2, -1\/2, 1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -22035 (base 7) in base 15?\nAnswer: -1979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -22*r**3 - r**2 + 2. Let l(z) = -109*z**3 - 5*z**2 + 11. Calculate -11*g(k) + 2*l(k).\nAnswer: 24*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 177, 678, 1509, 2670, 4161, 5982, 8133?\n\"Answer: 165*n**2 + 6*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -3*k + 2*i + 8, -3*k = -4*i + 17. Let f be (k*1)\/((-24)\/16). Is 501\/f - (-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2876758 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50 + 22 + 28 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10932?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-154)*9212\/(-6580)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 446128379?\nAnswer: 19, 1613, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from sofssfy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of 11\/4*x**4 + 7\/5*x**5 + x**2 - 29*x + 0*x**3 - 8. What is the second derivative of m(c) wrt c?\nAnswer: 84*c**2 + 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 9 = 19 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 335384353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**2 + 5. Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219202 is divided by 2495?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -4*c. Let i(s) = 1826*s**2 + 19*s. Give h(i(t)).\nAnswer: -7304*t**2 - 76*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2004 and 2532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31054380 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*(126\/21 - 84\/16)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/4665 and -46\/27.\nAnswer: 41985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z**2. Let j(i) = 5 + 11*i + 2 + 5*i - 2. Let m(y) = 15*y + 4. Let a(g) = 4*j(g) - 5*m(g). What is a(r(o))?\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2392.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -40, -70, -108, -154?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 405198354.\nAnswer: 2, 3, 11, 6139369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -12, -28, -36, -30, -4, 48, 132, 254?\n\"Answer: q**3 - 2*q**2 - 17*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 816 in -334, -8, -4, -1, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1112929*z**5 + 288*z + 127.\nAnswer: 22258580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 5*w - 124, -4*w - r - 4*r + 101 = 0. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.7, -608, 2680?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 859323*-21\nAnswer: -18045783","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 7*f + 1. Let o be v(7). Let t be 0 - o - 20\/(-25). Let z = -2 - -2.3. Which is the nearest to 0?  (a) -3  (b) t  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -829*o**4 - 9873925*o - o**2 + 9873925*o - 7*o**3 to the form p + z*o**3 + a*o + t*o**2 + n*o**4 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 12) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 295\/8 + -37. Which is the closest to d?  (a) 3\/2  (b) -2  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -169 + 168.6. Let w = 0.06 + 0.24. Is y smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/2*(-72)\/(-180).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a + 20. Calculate h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 840 - 842. What is the nearest to 0 in -0.077, v, 0.2?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h**3 - 2*h**2 + 25*h - 8. Let y be w(-11). Suppose 6*g - y - 6270 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146889 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -3*f - 5*d - 20, 0 = 2*d + 4. Let y(c) = -5*c**2 - 9*c + 12. Let w(h) = 2*h + 1 + 1 + 0 + h**2 - 5. Give f*w(a) - 2*y(a).\nAnswer: a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/58204 and -23\/4.\nAnswer: 58204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/10*3458\/546)\/((-2)\/(-10))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -r**7\/120 + r**6\/72 + r**5\/60 + 5*r**4\/24 + r**3\/6 + 5*r**2. Let n(u) be the first derivative of m(u). Is n(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**3\/11 + 4*x**2\/11 + 136*x\/11 + 240\/11 = 0.\nAnswer: -6, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 4096668?\nAnswer: -4096668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/12 and -75\/638.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4*j + 8898, 11*j - 25 = 6*j. Let p = c + -2615. What are the prime factors of p?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(600) - 1*sqrt(600))\/sqrt(2) + (-1*sqrt(75) + sqrt(75))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r = -31 + 139. What are the prime factors of (-4516)\/(-28) + r\/(-42)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -166*c - 774. Calculate the remainder when d(-17) is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + -1. Let w(u) = -2*u + 10. Let n be w(1). Suppose -n*m + 22 - 30 = 0. What is the nearest to m in h, -1\/4, -3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -d**5\/75 - 4*d**4\/15 - 32*d**3\/15 - 2*d**2 + 1. Let m(h) be the second derivative of j(h). Factor m(x).\nAnswer: -4*(x + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11019430 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 2:43 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 186\/131 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -419*s + 29*s + 5460 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1099, -2209, -3319, -4429, -5539, -6649?\nAnswer: -7759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 2, -2.2 in decreasing order.\nAnswer: 2, -2.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*f = -34*f + 22*f - 990 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 279253, 558525, 837797, 1117069, 1396341?\nAnswer: 1675613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 96\/10 + ((-90)\/25)\/6. Let s(g) = g**3 - 17 - 24*g + 5 + p*g**2 - 15. Let d be s(-11). Sort -37, d, 0.2 in descending order.\nAnswer: 0.2, d, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-10\/3)*j)\/(j**(-2\/47)*j)*j*((j**(-17\/4)*j)\/j)\/j*j**(-1\/3) assuming j is positive.\nAnswer: j**(-4441\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6843314 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -327 smaller than -328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -4.3, 0.2, -51850?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 666835 divided by 5.\nAnswer: 133367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (0 + 179\/(-2)*-1)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**2 + 3*j**2 + 0*j**2)*(j**2 + j - j) + (-j - 8*j**2 + j)*(3*j**2 - 5*j**2 + j**2).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 1. Let x(l) be the second derivative of l + 1\/21*l**7 + 0*l**6 + 1\/3*l**r + 0*l**4 + 0*l**2 + 0 + 0*l**5. Find the second derivative of x(o) wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49673?\nAnswer: 13, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1900))*6 - (sqrt(1900) + -1 + -2 + sqrt(1900))**2) + 5 + ((sqrt(1900) + 3)*-5 - sqrt(1900)) + (sqrt(1900) + (sqrt(1900) + 3)*-5)**2 + 3.\nAnswer: 1320*sqrt(19) + 23003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29177 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71772 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 333955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 3*k = -10, 9*h + 10 = 4*h + 5*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/(-4))\/(39\/104). Suppose 1248 = k + 2*k. Suppose -k = m*f - 32. Round f to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 2:32 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 1. Let r(c) = -12*c + 4. Let o = 6534 + -6528. Determine o*p(s) + r(s).\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 7571, -32\/9 in descending order.\nAnswer: 7571, 0.3, -32\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1*1\/2*(-14)\/(-21)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135.373814 rounded to 2 decimal places?\nAnswer: 135.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.02 - 0.02. Let o = f - -1. Is o equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 12, 49, 2\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -12.57, -20, -2\/3 in decreasing order.\nAnswer: 4, -2\/3, -12.57, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + h**2 - 3*h - 4. Determine v(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/4)\/((-15)\/(-90)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*x**(1\/3)*x)\/x*(x**7*x)\/x)\/(((x\/x**8)\/x*x)\/(x**4\/x*x)))**(-13\/2) assuming x is positive.\nAnswer: x**(-793\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7703241.\nAnswer: 3, 7, 13, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 195 * -11227\nAnswer: -2189265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 + 53. Solve -k*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 220*u**2 - 2963*u + 1365. Calculate x(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 491.4853638 rounded to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-2))\/((-12)\/(-2688)). Suppose 9*u - 108 = 4*u + y, 5*u + y = n. Let t = 73 - u. Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37704 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17452217.\nAnswer: 17, 103, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.76621321 - 40.8.\nAnswer: -44.56621321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*-2*-6)\/(sqrt(324)*-3)*-4.\nAnswer: 16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**4\/5 + 1208*c**3\/5 + 199628*c**2\/5 + 1040088*c + 7413210.\nAnswer: 2*(c + 15)**2*(c + 287)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - g - 118, 0 = -84248*m + 84249*m - 3*g - 339 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3. Let y(i) = -i**3 + 5*i**2 - 7*i + 9. Let x be y(4). Let t(a) = a - 7. Determine x*t(u) - 7*c(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 100656 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -115614.1 rounded to the nearest 1000?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 9*k. Let o(h) = 16*h**2 + h. Let t be o(-3). Let m(j) = 141*j - t*j + j**2. Calculate b(m(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12010226 less than -0.046?\nAnswer: -0.16610226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, -202, 2, 16, 3 in ascending order.\nAnswer: -202, -36, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9661*f + 3*g = 9663*f + 115, -3*f - g - 2*g - 165 = 0 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d*d**14))*d)\/(d*d*d**2*d))**(-1\/10) assuming d is positive.\nAnswer: d**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -35, -56, -87, -134, -203, -300, -431, -602?\n\"Answer: -w**3 + w**2 - 17*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -7*p + 16. Let c(f) = f. Let a(q) = 6*c(q) + m(q). Let g be a(-5). Solve 4*u = -5*r - 12, -g = -3*r + 4*u - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152020 (base 7) to base 5\nAnswer: -1421022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-256)\/18 + (-4)\/(-18). Let i(l) = l + 15. Let n be i(w). Let c be 1\/(-3) + (-272)\/(-384). Which is bigger: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2*p = -27751, 1151*c = 1152*c + 5*p - 5507. What is c rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 212621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-6 - -12) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/9)\/(266\/228). Which is the nearest to u?  (a) -19  (b) 4  (c) -4  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 95 + -90. What is the lowest common multiple of ((-3)\/(-1))\/3*p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.21 + -2.79. What is the biggest value in 0.06, v, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 105221688*x**3 + 336*x**2 - 360*x + 24.\nAnswer: 631330128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1.249*-873\nAnswer: 1090.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 331 - -41?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146794.\nAnswer: 2, 19, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-2)*(-224)\/1232*2\/4. Which is the closest to 1?  (a) h  (b) 0.018  (c) 0.2  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o**2 + 4*o + 4 - 5 + 2*o**2. Suppose 5*u + d + 28 = 7*u, -4*d = -u + 28. Let k be (-1 - 5)*(-5 - (-54)\/u). Calculate h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80454 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**3 + 7*r**2 - 277*r + 29. Let w(z) = 2*z**3 + 3*z**2 - 131*z + 14. Give -3*k(d) + 7*w(d).\nAnswer: 2*d**3 - 86*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -38855.89984 + 38865. Let h = -9.1 + p. What is h rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 184, -61, 48.\nAnswer: -61, 5, 48, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*d - 4*d + 2*d**5 + 3*d - 2*d wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(4\/7))**(-23) assuming j is positive.\nAnswer: j**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 774 = 612. What is the remainder when k is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 2*h - 20, -5*z + 5*h + 9 + 1 = 0. Find the first derivative of 8*w**4 - 5*w**z - 1 + 0*w**4 wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -k**3\/3 - k**2\/2 - k - 2. Let n(i) = 4*i**2 + 2*i + 13. Let y(h) = 3*m(h) + n(h). List the prime factors of y(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 678100086?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 457 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59 - -107. Let k = 1 - -24. What is the remainder when b is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(66)*2 + sqrt(66))\/sqrt(6).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -13*x - 2. Let m be l(-4). Suppose -172*p + 388 - 4005 = 3951. Let z = m + p. Solve -2*o = -z*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 + -8 + 1 + 4)\/((-9)\/(-36)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 151 - 73. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -h**3\/3 + 88. Let j(x) = 6*x**2 + x**2 - 3*x**2. Calculate j(s(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1173 = 2042*g - 1973*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 + 7050*p - 14120.\nAnswer: 5*(p - 2)*(p + 1412)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 - m**2 - 2*m**2)*(2 - 2 + 5*m).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3220313 - -1040?\nAnswer: 3221353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 8:31 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5018 by 2.\nAnswer: -2509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 729527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 26*q**4 + 5*q**3 + 202*q**2 + 2. Let o(w) = 77*w**4 + 16*w**3 + 610*w**2 + 7. Let r(y) = -7*g(y) + 2*o(y). Find the third derivative of r(a) wrt a.\nAnswer: -672*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + k + 1. Let c be 3 - ((-2 - (-8 - -3)) + -2). What is z(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**30\/j*j**(-2\/71)*(j**(-1\/3)\/j*j)\/((j\/(j*j**37)*j*j)\/j) assuming j is positive.\nAnswer: j**(13768\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -1083*n**2. Let p(y) = 31*y**2. Let h(w) = -209*p(w) - 6*u(w). Let q(l) = -7*l. Calculate h(q(v)).\nAnswer: 931*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -424 - -595. Suppose -1503 = -180*m + x*m. Put -2, -4, m in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 3*f - 4*x, x + 163 = 5*f + 197 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 789 is divided by 196.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 3:37 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -8*h**3 - 6*h**2 - 6*h + 273. Let n(r) = 7*r**3 + 5*r**2 + 5*r - 270. Give 6*n(l) + 5*y(l).\nAnswer: 2*l**3 - 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1241 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*t + 1. Suppose -y - 2*y = -3. Suppose y = -h - 3. Sort -1, t, h.\nAnswer: h, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -65 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 6 = -4*m, -167*m - 3*u = -164*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20253014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbggbbs. Give prob of picking 2 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.917 + -1.817. Which is the nearest to -1?  (a) i  (b) 0.5  (c) -1\/2  (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -15475?\nAnswer: -1\/15475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) + (-1160)\/(-2256). Suppose 24*z + 4 + 0 = 4. Is z > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 23eddab - 5?\nAnswer: 23edda6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1b03 (base 13) to base 14\nAnswer: -169d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (8 - 4)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -759*q + 21 = -762*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 3*s**2 + 5*s - 12. Let j be a(3). Solve -5*h + 10 = j*b, 2*h + h + 5 = -4*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14627*u**2*x**2 + 2438*u**2 - 6*u*x - x**2 + x wrt x.\nAnswer: 29254*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -31656*k + 788. Let w be m(3). Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 13*t**2 + t. Suppose -q - 35 = -3*c, -5*c = -3*q + 7*q - 30. Let m(b) = -b**3 + 11*b**2 - 9*b - 11. Let i be m(c). What is the tens digit of a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6254421 + -12520421. Round a to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2*((-13350)\/(-890))\/((-18)\/8)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 252332735 and 4760995.\nAnswer: 252332735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2585)\/(-1175) - (12\/(-15) - 1). Solve 51\/2*d**3 + 3 - 9*d**5 - 9\/2*d**2 + 15\/2*d**q - 21\/2*d = 0.\nAnswer: -1, 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 0.035?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 divided by -211.\nAnswer: 16\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 + 0)*(-t**2 + t**2 - t**2) + 3*t**2 + 12*t**2 + 0*t**2 in the form j + r*t**2 + o*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -299840 divided by 80?\nAnswer: -3748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107 divided by -23.\nAnswer: 107\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13130671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -79341 or -79344?\nAnswer: -79341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 37 = 47. Let n(a) = -3*a**3 - a**2 + 2*a + 2. Let w(y) = 5*y**3 + 2*y**2 - 4*y - 4. Let o(c) = k*n(c) + 4*w(c). List the prime factors of o(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 11:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 h, and 1 g when four letters picked without replacement from {g: 2, h: 1, a: 3, f: 6, o: 2, q: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 23531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -4. Suppose -29 = -j*x - 13. Let p(d) = -d**2 + 0*d**2 - x*d**2. Let k(f) = -2*f. What is p(k(q))?\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 7, -2, -15, -32?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -50*z - 20*z**2 + 83*z**2 - 27*z**2 - 24*z**2 as f*z**2 + a + m*z and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t\/(t\/(t**(-1\/2)\/t))*t)*t))**(-7\/2))**(-7\/4)*(t\/((t*t*t**2*t*t)\/t))**(1\/36)\/(t**(-1)*t**5) assuming t is positive.\nAnswer: t**(-1915\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 35*g**2 - 231*g - 24. Give x(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -6780, 3\/8, 2.05 in decreasing order.\nAnswer: 4, 2.05, 3\/8, -6780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 PM and 3:13 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -3*q - 78, -4*c - 34 = -3*q - 111. Is (-8596)\/(-10) - q\/(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 2*p + 17 = 0, p + 166 - 174 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002978 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15962\/5 + 3192. Sort -2, -19, 0.1, f in decreasing order.\nAnswer: 0.1, f, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 20*p**2. Let r(a) = 4*a**2 + 5*a + 5. Let i(h) = 5*h**2 + 6*h + 6. Let o(c) = 5*i(c) - 6*r(c). What is j(o(z))?\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 21*w. Let k be b(-1). Let s = 544 - 552. Let h be (-744)\/k + s\/(-14). Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(243) - 2*(sqrt(243))**2.\nAnswer: -487 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 6*t**2 + 4*t. Let o be d(-3). Let h = o - 29. Let r be 8\/6 - (-1345)\/15. Calculate the highest common divisor of r and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -v**5\/20 + 7*v**4\/12 + 7*v**3\/6 + 3*v**2 + 2*v. Let x be i(8). List the prime factors of -12*x*4\/16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(-4*-2*sqrt(272))**2*-4.\nAnswer: -139269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 289 + -19. Suppose 181*f - 184*f + g = 0. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4*z**4\/3 + 20*z**3\/3 + 4*z**2 - 12*z = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {o: 1, m: 2, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395*y - 1190*y + 20206 = -285*y + 94306 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -5*u - 8. Let v be a(-2). Suppose -t - 3*t = v*d - 324, 3*t - 4*d = 265. What are the prime factors of t?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9078630)\/(-50) + (-14)\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2733 or 2731?\nAnswer: 2733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 22556 (base 8) to base 13\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 4:05 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(16\/15))\/((3675\/(-84))\/(-25))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b\/(b*b**(2\/7)))*b)**(2\/21) assuming b is positive.\nAnswer: b**(6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 8, 1, -17, -37 in descending order.\nAnswer: 8, 5, 1, -17, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/(-3))\/(4\/(-4)*8). Solve f*b**5 + 0 - 2*b**4 + 4\/3*b - 4*b**2 + 13\/3*b**3 = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -29, 923, 21 in descending order.\nAnswer: 923, 21, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 4*h - 172584 = 0, -18*w - 24*h = -22*w + 229936. List the prime factors of w.\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*z + 56 + 82 + 239 = -888 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -25*s - 1827. Let v be l(-74). Solve -v*k - 15 - 77 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = -n + s - 13, -9 = n - s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1858.5 * -6\nAnswer: -11151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 100*m + 2214. Give l(21).\nAnswer: 4314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1216 + -16. Suppose -3*m + o = 7*m. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 480 and 120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 119617 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: Convert 31121022 (base 5) to base 12.\nAnswer: 103354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 381956 and 98914.\nAnswer: 137886116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 2*w - 12, 3*q + 28 = 4*w - 2*q. Suppose -4*x + 22 = 3*i, 17 - 1 = 3*x + w*i. Solve 5*g + 30 - 9 = 2*h, x*h = 3*g + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6262 = -2*p - 5*m - 6239, 4*p - 13 = m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 372\/11*k + 106\/11*k**2 - 2\/11*k**3 - 2016\/11.\nAnswer: -2*(k - 56)*(k - 3)*(k + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-2) - (-8 - -7). Suppose 0*r - w = -2*r. Let n(z) = -z**3 + z**2 - z. Let o be n(0). Solve o = 2*s + r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -116249*t**2 - 2*t - 8. Let q be x(-2). Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -13*((-4 - -2) + 0). Calculate the greatest common divisor of 286 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1031604 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.141 and 0.81.\nAnswer: 0.11421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 700*a**2 - 140*a - 20. Let w(x) = 14*x + 2. Give j(o) + 10*w(o).\nAnswer: 700*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 4*p**3 - p**2 + 7*p - 5. Let t be s(2). Suppose -135 = -2*g - t. What is the derivative of 3329*a - 3314*a + g - 18 wrt a?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -128903, -128910, -128931, -128972, -129039?\nAnswer: -129138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38 - -64. Suppose 4*c + 156 = 5*f, -t = -2*f - 4*c + 42. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6120*b + 8332 wrt b?\nAnswer: 6120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 459\/(-34)*1*2. Let z = p + 29. Solve 0 = -h + 2*c - 11, z*c - 9 = -4*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2, 13, 0.2, 127, -7.\nAnswer: -7, -0.2, 0.2, 2, 13, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*m + 60 + 54 = -8*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 13 - -1*(3 + -1). Suppose -3*k = t, g - 4*g = -2*k - 58. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1848)\/220)\/21)\/(((-6)\/45)\/(22\/1))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*120\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 6*r + 5. Let q be l(5). Let z = q + -4. Solve -s = -3*s + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**8\/4032 + d**6\/240 + d**5\/10 + d**2. Let k(z) be the third derivative of n(z). Differentiate k(u) wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 10. Suppose -4*h + 3*x = -55, h + 2*x + 20 = 2*h. Let w = 14 - h. Sort w, 1\/5, m in descending order.\nAnswer: w, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 292859768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 2*l**2 + 0*l**2 + 116.\nAnswer: l**2 + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 5*k + 29. Suppose -2*z - 5*u = -95, -u = -3*z - z + 135. Calculate the lowest common multiple of h(-6) and z.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0424027 to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10*(-1 - 14\/(-12)). Let j = -7\/6 + l. Let q = -37\/18 - -14\/9. What is the closest to -1\/4 in 1, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*s**5 - 12370*s**4 + 106400*s**3 - 261280*s**2 + 130560*s = 0.\nAnswer: 0, 2\/3, 4, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14677196 is divided by 8847?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5402.8 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/6)\/((-20)\/30). Let m be 8\/(-8)*(k + 0). Let c = -0.8 - 3.2. What is the nearest to -0.3 in c, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 385\/488 - 22445\/23424. Let u = v - 20089\/2688. Find the common denominator of (-4)\/(-14) - 6707\/(-266) and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5 = 0, 4*q + 124 = g + 8*q. Let t = 1 + 35. Suppose -8 - 82 = -5*y + 5*a, 2*y - t = -2*a. What is the highest common factor of y and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 9  (c) 754  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9336 = -63*p + 71*p. 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 the fourth smallest value in 1\/13, 1\/4, 0.2, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2760150?\nAnswer: 2, 3, 5, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w**2. Let g(c) = -c**2 - 3*c + 3*c + 0*c. Give j(g(i)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 35*t**2 + 25*t + 25. Let h(l) = 3*l**2 + 2*l + 2. Let c(s) = -6*g(s) + 75*h(s). Let f(a) = -2*a**2. Give c(f(r)).\nAnswer: 60*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**3 - 23*u - 4*u**2 - 2*u**3 - 68 + 8*u**3 + 63 - 6*u**3 - u**4 as m + q*u**3 + a*u**4 + i*u + v*u**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*z = -4*v + 11, -26 = -4*v - 2*z. Calculate the remainder when 11 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-6*1*sqrt(1152))\/((-1*sqrt(6)*-2 - sqrt(6)) + sqrt(216)*1).\nAnswer: -240*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 + -25. What is the derivative of 0 - 20*m**b + 10*m**3 + 19 + 0 wrt m?\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5950 by -3.\nAnswer: 5950\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 250*g + 11. Let u be y(19). Suppose -u = -27*b + 18*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*q**3 - 6*q*w**3 - q*w - 2*w**3 - w with respect to q.\nAnswer: 12*q**2 - 6*w**3 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (t + 7*t - 5*t)*(-4 + 0 + 1) - 9*t + 2*t - 8*t + (-t + 3*t - 3*t)*(-1 - 1 + 0) in the form y*t + x and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5*d + 16 = b, 4*b + d = 6. What is the second derivative of -j - 3*j**b + 5*j - 3*j**2 + 3*j**2 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + (-14)\/(-2) + 3. Let a(u) = f*u - 2*u - 2*u - u + 1. What is a(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - (-2 - -2))*-5. Suppose 3 = 2*u - d. Let c = u - 1. Solve 18 = -c*i - 4*s, 2*i = 3*s + s + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.989 - 0.601. Let j = x - 0.41. Let s = 14 + j. What is the closest to -0.1 in s, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuehhuheuuheue. Give prob of picking 1 u and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -473050 + -5?\nAnswer: -473055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = 25*d + 27*d. What is the third derivative of 144*m**3 + 8 + d + 0*m**2 + 0*m**2 + 0*m**2 + 3*m**2 wrt m?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by (-8)\/(-12) + 160\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9678 - -10494. Calculate the smallest common multiple of 90 and t.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*2\/((8\/(-2))\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 511373 and 2362.\nAnswer: 1022746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -2\/7  (b) -565  (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 251990121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*m = 56. Calculate the remainder when (-24)\/m - 431\/(-7) is divided by (13 + -1)*4\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 3*p - 4*n, 3*n + 0 = 6. Suppose 4*u - 4*t + 8 = 0, 0 = u + t + 2 - p. Solve 0 = u*x - 11 - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -9.22  (c) 2  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.04 - 0.44. Suppose 0 = 3*j - 72 - 3. Let y be 5*-2*(-10)\/j. What is the closest to r in 0.2, -5, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 11 - 43 = -z, -160 = -5*z - 5*m. Let a be ((-9)\/12)\/((-2)\/z). Let x(v) = -518*v - 10356. Let t be x(-20). Solve t = -4*d - a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 328 - 223. Calculate the greatest common factor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d**2 + 61*d - 319. What are the prime factors of u(39)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 960 is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.56 + 0.41. Let m = h - -44.15. Let r = -39 + m. Which is the fourth biggest value?  (a) 1\/2  (b) r  (c) 3\/5  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12875 and 13204600?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 4*c**2 + 25*c - 55. Calculate x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-12)\/(-6))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 181185, 181184, 181183, 181182?\nAnswer: 181181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from spnsntpntnoppn. Give prob of sequence tsn.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -5*z - 566, -154 - 31 = -p - 2*z. Which is smaller: p or 189?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23 - -3210100312?\nAnswer: 3210100223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124878)\/(-1716) - 73 - 2\/(-4).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 1 + 5 - (-6 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17a (base 11) in base 5?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a**2 - 9*a + 10. Let j be s(-5). Solve 0 = -6*d + d + j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**3 - 5176*m**2 + 551236*m - 546056.\nAnswer: -4*(m - 98)*(m - 1)*(m + 1393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - (-2 + (1 - 0)). Suppose 2*o + m*o - 50 = 0. What is the remainder when ((-2)\/3)\/(o\/(-75)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5*a + 12 + 38 = 0, -2*d + 23 = 3*a. Let v = 33 - 15. Let j = v - 11. Calculate the highest common divisor of j and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 5*n**2 - 4*n - 5. Let d be r(-4). Let i = 0.3 + 0.1. Let t be 3 + (440\/152)\/(3\/(-3)). Which is the second biggest value?  (a) d  (b) t  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -10*t**3 + 3*t**2 - 364*t + 1535. Give h(4).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 9*h**3 + 4*h**2 + 35*h + 7. Let i(v) = -4*v**3 - v**2 - 17*v - 3. What is 3*c(r) + 7*i(r)?\nAnswer: -r**3 + 5*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.01  (b) -3\/14  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 9*i - 7*i - 25*i. Let r(l) = 293*l + 294*l - 584*l. Calculate r(q(p)).\nAnswer: -69*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -4*l + 15, -2*b - 2*b = -3*l - 22. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1972 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 o, and 1 n when three letters picked without replacement from {y: 2, i: 1, c: 2, o: 4, n: 4, z: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**4 + 970*n**3 - 3940*n**2 + 3960*n.\nAnswer: 5*n*(n - 2)**2*(n + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 6*p - 8. Let d be o(7). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(84)\/sqrt(48).\nAnswer: sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 119980 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t - 7*t**2 - 157*t**3 + 33*t**3 + 38*t**3 + 44*t**3 + 40*t**3 to the form a*t**3 + k + v*t + b*t**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-45)\/(-10) + (14\/(-4))\/(-7). Let i(a) = a + 2. Let p(l) = -10*l - 10. Let x(g) = h*i(g) + p(g). Let f(n) = 5*n - 5*n + 6*n - 2*n. What is f(x(y))?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 1\/8, -3\/4, -0.0711, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -17 - (-10 - (-2 + -5)). Let n(s) = 16*s + 227. Let x be n(c). Solve -2*j = x*i - 0*i + 7, -2*i - 2*j - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + w. Suppose -5*t + 0 + 20 = 0. Suppose t*q = -4*m - 28, -5*q + 0*q = -m + 5. Give z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000318 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, s: 2, z: 2, y: 1}. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 10*v - 26. Let y(h) = -15*h - 101. Let o be y(-7). What is the remainder when 150 is divided by s(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 836917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1466, 2954, 4472, 6032, 7646, 9326, 11084, 12932?\n\"Answer: 2*o**3 + 3*o**2 + 1465*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate m**4*o - 26*m*o - 46*o wrt m.\nAnswer: 4*m**3*o - 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 350318 and 856?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-20)\/(5\/(-5) - 0). Suppose -k - 2986 = -5*q + 84, 4*k = d. List the prime factors of q.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 16 = -2*f, 0*f = -z + f + 6. Suppose 5*x - 124 = -z*g + 214, 4*x = -3*g + 271. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2a248 - 4d4?\nAnswer: 29b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 9:45 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30125861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s + 33. Let l(a) = -2*a**3 + a**2 + a - 4. Let u be l(2). Calculate the remainder when 16 is divided by c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -80*y**3 + 3*y**2 + 4*y + 2. What is the tens digit of d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 7:02 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2687788093 rounded to three dps?\nAnswer: -0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - d + 3598 + 2107 = 0, -2*v - d = -2285. What is the biggest value in v, -3, -0.5, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0302296*27.\nAnswer: -0.8161992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 10 - 1 = 0. Let j = t - -10. Calculate the smallest common multiple of j*8 + 4\/(-2) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l - 20*l - 2*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - (-13 - -28)) + (3 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) - sqrt(288))*4)\/((sqrt(1089) - sqrt(1089)*-2) + sqrt(1089)).\nAnswer: -3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b - 2. Let q(m) = 9*m - 1. Let y be q(1). Let a be r(y). Find the third derivative of -4*t**2 + 0*t**6 - t**a + 2*t**2 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2958081 to the power of 1\/2, to the nearest integer?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of q**4\/3 + 18*q**2. Let k(y) = 3*y**2. What is k(x(s))?\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00310554 to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -8 + (-12)\/(-3) - -244. Suppose -6*l + a = -l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2755, -10879, -24587, -43879, -68755, -99215, -135259?\n\"Answer: -2792*t**2 + 252*t - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/13  (b) -0.4  (c) -0.5  (d) -632\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1699 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -150, -156, -160, -162, -162, -160?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*f - 4*f**2 - 1250 + 2506 + 0*f - f**3 - 1255 as n*f + m + c*f**2 + p*f**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/4, 2\/9, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 6209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/20 + (-177263)\/(-2060) + (-15 - 16).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r + 1. Let l be g(1). Let v be (-9)\/(-3)*2 + l. Solve v*p - 2 = -27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - j = 2. Suppose 0 = -j*x - 2*x - 48. Let y = -11 - x. Is y greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 5:45 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69139 is divided by 23036.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 7001*u**2 + 476*u - 1437. Is n(3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 483, 978, 1487, 2010?\nAnswer: 2547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -15.9. Let p be (3\/(-45))\/((-2)\/5). Let o = -1473 - -7367\/5. Which is the nearest to o?  (a) q  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (123\/738)\/((-2)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - (-17 + -3 + -19 + 56).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2667?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -y + 2*b, 0 = 3*y - 2*b - 1 + 7. Find the common denominator of 41\/9 and y - (-66)\/20 - 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50313336 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003064387 to five decimal places.\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.6 - 0.01277?\nAnswer: 24.58723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1652935681 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.342 - -1.342. Which is the smallest value?  (a) r  (b) 2\/23  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from kxiikzkdk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -14*h**3 + 3*h**2 + 2*h - 3. Suppose -100 = -26*c - 204. Let t(i) = 15*i**3 - 4*i**2 - 2*i + 4. Calculate c*z(j) - 3*t(j).\nAnswer: 11*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*c - 2)*((0 + 0 + 2)*(3 - 55 - 4) + 5 - 1 + 0).\nAnswer: -216*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 - -82) + (503 - 502).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -6525.740835.\nAnswer: -6524.740835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + 0)*1175\/(-50). Let m = j + 6915\/49. Is 1\/3 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 2*h - 2*h**2 + 2*h)*(2*h + 0*h + 0*h) + (0 + 0 - 2*h)*(2*h**2 + 0*h**2 + 0*h**2).\nAnswer: -8*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 8380951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5907522 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210223 = -823*p - 276886 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 greater than or equal to 352377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -7. Let d(s) = s**3 - 4*s**2 - 5*s - 7. Let r be d(5). Let y be (4 - 2) + 12\/r. What is the third smallest value in y, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1036985.\nAnswer: 5, 157, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 5*s**2 + 4*s - 1. Suppose -4*m + 35 = 3*c, 3*c + 5*m - 20 = 4*c. What are the prime factors of d(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h - 4. Let s be p(8). Suppose -5*z = s*a, 0 = 7*z - 3*z + a. What are the prime factors of -3 + (16 + z - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -5, 0.01, -1.75?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1593900 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -1\/10  (c) -16  (d) -1  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1662)\/7 + (-4)\/(-2). Let d = 10595\/42 + a. Find the common denominator of 0 + -2*102\/32 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -2 - (-5 + 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 859*y + 15359 = -17283 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2330 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1639638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-160)\/16*(-4)\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 211292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1313 - -3?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -695 = -271*v + 266*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88167 is divided by 1685?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 99678091 a multiple of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 217 and 48097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 4*n = 21, 2*j = 2*n + 1 - 7. Suppose 9 = 5*h - j. Solve -20 = -4*c - h*k, -c - 2*k - k + 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3084878, -3084892, -3084908, -3084926, -3084946?\nAnswer: -3084968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from hzlosrol.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -68*t**3. Let y(q) = -23*q**3. What is 3*g(x) - 10*y(x)?\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4734230 (base 12) to base 5.\nAnswer: -12010131304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 731.7 + -732. Which is the nearest to -1?  (a) j  (b) 3  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 x, and 1 s when three letters picked without replacement from {a: 4, x: 1, y: 3, r: 1, s: 4, h: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.8 - 0.2. Let m = -1 - n. Let c = 27571\/2 + -13784. Put c, 2, 5, m in increasing order.\nAnswer: c, 2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 11:45 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of 5\/12*j**4 + 1\/2*j**2 + 14*j + 5\/6*j**3 - 1\/20*j**5 + 2. Calculate g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 0*o = -3*o - 14, 5*d + 18 = o. Let v(s) = -2*s**2 + 3*s - 4. Let i(g) = g**2 - 2*g + 2. Calculate d*v(z) - 7*i(z).\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q + q**2 - 5 + 3*q + 2*q**2 + 9*q. What are the prime factors of i(4)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22*1178.\nAnswer: 25916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 57 + -6. What is the greatest common factor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -47674?\nAnswer: -2\/23837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3*sqrt(108)\/sqrt(6) - sqrt(18))*2)\/(-3*sqrt(864)*5*-3).\nAnswer: -4*sqrt(3)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 3\/2*u**3 - 17*u + 0 - 11*u**2. What are the prime factors of d(15)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27\/(-6))\/((-9)\/45*5\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000 + 1001?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 + 19*m**2 - m**2 - 4*m**2 - 12*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1865 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3776493 to the power of 1\/2, to the nearest integer?\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 221 + -217. Let w be 16\/(-6) - -3 - (-10)\/6. Solve -1\/4*t - 1\/2 - 3\/4*t**5 + t**3 + 3\/2*t**w - t**i = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29535429271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 261 + 251 + 6*v + 271 - 1049 + 266.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 650. Is 74 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l = -22*l - 368. Let j = -37 - l. Calculate the greatest common divisor of j and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -77684 - -81025.3. Round d to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.13?  (a) 0.8  (b) -6  (c) -2\/7  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2\/3 + 2*b + 260\/3 = 0 for b.\nAnswer: -10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -331231112 (base 4) to base 9\nAnswer: -424642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/44*-4*1. Suppose l + 53 = 10. Let a = l + 43. What is the second biggest value in i, 3, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.0007 - -0.0007. Let b = 49\/180 + -1\/45. What is the second biggest value in b, -0.15, s, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 10, 1\/12, 0.4, 4 in ascending order.\nAnswer: 1\/12, 0.4, 0.5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z**2 + 245*z - 1118. What is the remainder when 427 is divided by b(75)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*h - 23 = 2*v, -4*h - 1 = 5*v. Suppose 19*y - 28 = 86. Differentiate p - v + y*p**3 - p + 1 wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -3\/7  (b) 1\/8  (c) 3\/8  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-5*sqrt(98)\/sqrt(28))\/(sqrt(12)\/sqrt(6)*-5 + (sqrt(2) - sqrt(24)\/sqrt(768))).\nAnswer: 40*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.02 + -0.04. Let z = 3.02 + y. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand t - t - 3*t - t - 2*t + 5*t - 2*t + 1 - 1 + (0 + 0 - 2*t)*(-1 - 1 + 4) - 5*t + 3*t + t + (4 - 2 - 1)*(3*t - 3*t + t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3330833 divided by -175307\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 12:12 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5085443?\nAnswer: 11, 277, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (377679\/39 - -2) + (24\/78)\/(-4). Calculate the highest common factor of n and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by 17551060.\nAnswer: 1\/923740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3366661, 3366671, 3366681, 3366691?\nAnswer: 3366701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 254815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (2025\/213030)\/(5\/80*20)\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1555591171 rounded to the nearest 100000?\nAnswer: -1555600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*c - 16 + 16)*(3*c - 3*c - 3*c).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2625 - -2665.46. What is h rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 16*a**3 - a**2 - 9*a - 4. Is m(3) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1759*v**5 + v**4 + 43416*v**2.\nAnswer: 105540*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 103*k**3 + 53917*k**2 + k + 128594948 wrt k.\nAnswer: 309*k**2 + 107834*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-6 + 6) - 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -748, -1711, -2676, -3643, -4612, -5583?\nAnswer: -6556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-11)\/c**(2\/11))**(2\/5)*(c**(-3\/5)\/(c**(-10)*c))**(-13\/5) assuming c is positive.\nAnswer: c**(-7236\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 78*i**2 + 157*i - 96. Determine n(-80).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*w - 3*w. Suppose h + w*o + 0 = -8, -4*h = -2*o - 4. Suppose h + 4 = z. What is the lowest common multiple of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -321 + 6112?\nAnswer: 5571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(0 + sqrt(208)))**2 + (4 + (sqrt(208) - (2 + sqrt(208)) - sqrt(208)))**2)*-2*2.\nAnswer: -30800 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, l: 3}. What is prob of sequence lal?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 5*g - 32. Let c(z) = 2*z**2 + 3*z - 4. Let d be c(-4). Let o be s(d). Suppose x = -2*x + o. Solve 7*t - x = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, i: 1, k: 1, p: 3, g: 2, t: 1}. Give prob of picking 2 g and 1 k.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1558 or 0.2?\nAnswer: -0.1558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 23\/1*(0 - (1 + 3)). Is u at most as big as -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + 5*b**2 - 2*b - 8. Let i be v(4). Suppose -5*g = 20, i*s - g + 4 = 2*s. Suppose 4*z = s*q + 540, -q = q. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19917 is divided by 439.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 140000129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 4*l + 50 = 0. Let x be l\/(-45) - 6\/(-27). Let w = -0.1 - 0. Sort x, -3\/4, w in increasing order.\nAnswer: -3\/4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12, -29, -46, -63?\n\"Answer: -17*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*y - 719727 - 320610 = 0. Does 53 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3821641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 129478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + -26 - 38 - -42 - (-75 + 3 + -2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -539.94187 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 20 = 4*t. Suppose -t*r + 2*j = -14, 4*r - 18 = -0*r + 5*j. Suppose 4*w + 5*w**2 + w**2 + 0*w + 0*w**2 + r*w**3 = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/3273 and -155\/25338?\nAnswer: 27643758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 + a352e?\nAnswer: a3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**5\/30 + l**4\/6 - l**3\/2 + l**2. Suppose -u - 334 = -333. Let b(n) = -n + 1. Give u*m(i) - 3*b(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-2\/5))**(-3)\/(d**(2\/29)*d*d**(-1\/3)) assuming d is positive.\nAnswer: d**(-3452\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-3)*28\/21*51802\/(-3512).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(3\/8)))\/a)**(11\/5)\/(a**0*a**5\/a) assuming a is positive.\nAnswer: a**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 344, 694, 1044, 1394, 1744, 2094?\n\"Answer: 350*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5153 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*m + 1, -3*x + 15 = 5*m. Let g be (-3 - 1)*110\/(-4). Suppose x = -j - j + g. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-39) + 450\/(-702))\/(39\/(-2))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12891483 + 10899821 = -18*b - 9269296. Round b to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 56*f**2 - 56*f - 69. Determine s(57).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 4484160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {v: 11, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) 59  (c) 0.3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d + 29*d - 6*d)*(210*d - 257*d**2 - 210*d).\nAnswer: -4369*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 8*b**2 - 13*b - 64. Let m(z) = 2*z**2 - 3*z - 16. Let t(w) = -2*c(w) + 9*m(w). Let o be t(12). Let n = -169 + o. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -2715  (c) -0.1  (d) -1\/4  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from {i: 1, f: 1, j: 2, z: 4, o: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 32*i + 179. What is the smallest common multiple of 5 and u(36)?\nAnswer: 6655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 1 - 4)*(-1 - 11 + 0) + 3 - 4 - 1)*(-2 + g + 2)*(5*g**2 - 2*g**2 - 5*g**2).\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*k**5 + 0 + (-3*k**3 - k**3 - k**3)*(2*k**2 - k**2 + 2*k**2) + k**5 + k - k.\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5298*n + 5296*n + 5187*n - 15796*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**3 - 3*n**2 - n + 1. Suppose 0 = 5*j + 6 + 4. What are the prime factors of f(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**9))\/j*j*j*j)**(-6) assuming j is positive.\nAnswer: j**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 465, 387, 255, 69, -171?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/8*2\/3. Let w = 0.257 + -0.216. Let n = -0.059 - w. Is a greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = -16*r + 9*r. What is the units digit of 90\/((-1)\/(r\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*d = 84*d + 72. Let b be 16\/d*-3 - -2*5. Do b and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 16 + -16 + -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3302159996?\nAnswer: 2, 825539999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g + 19*g + 3073 = 0. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -8063.4?\nAnswer: -24190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 261265\/22968 - 1\/5742. What is the common denominator of 11\/12 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310989\/(-7781) + (-2)\/62?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 4:05 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68413*11.\nAnswer: 752543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 377 - 158*o - 152*o - 377 - 37*o + 349*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.089?  (a) -2  (b) 1  (c) 2\/13  (d) -1.8  (e) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25 or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/5)\/(s*s**(-22)*s)*s**14\/s**0 assuming s is positive.\nAnswer: s**(169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + 16)*(-40)\/6. Let d(b) = -196*b**2 - 1. Let r be d(-1). Let v = x - r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 1:40 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6396339272 + 131*n - 6396339272.\nAnswer: 131*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -36. Let d be -4*(-1 - h\/4). Solve -a - 28 = -5*x, -x + 2*a = -2*x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11466379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2 from -1566703.\nAnswer: -1566703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4*((sqrt(99) - -3*sqrt(99)) + -4 - (sqrt(99) + -2 + sqrt(99) + -4))**2*1.\nAnswer: -1599 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 15) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 1\/6, 0.5179, 43, 5, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2781115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 135792759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/2)\/((-21)\/(-6) + -4). Let m(b) = 3*b**2 + b**2 + 0 + b - 1 - b**v. What is m(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -421*t**4 - 3*t**2 - 401*t + 3. Let v(s) = -420*s**4 - 4*s**2 - 402*s + 4. Let l(i) = 4*b(i) - 3*v(i). Find the second derivative of l(u) wrt u.\nAnswer: -5088*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -4494\nAnswer: -1\/4494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of 5*o**3\/6 - o**2 - 3*o. Let g(x) = 3*x**2 - 33*x + 4. Let d be g(11). Let v be 420\/195 + d\/(-26). What is a(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 6*g = -2*g - 158, -2*g + 148 = 3*j. Calculate the greatest common factor of 46 and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10615\/87576 + -15\/712. Find the common denominator of c and 73\/27.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 8\/11, 2, 0 in ascending order.\nAnswer: 0, 8\/11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -505, -5 in descending order.\nAnswer: 5, -5, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2*sqrt(13) + sqrt(468) + sqrt(468) + 0 + -5 + 3 + -3.\nAnswer: -6 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/401 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gkk when three letters picked without replacement from gogkkooggkgoggkkk.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3933 times -6951\nAnswer: -27338283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -168 - -167. Let b = 0.3 - -0.7. Sort -0.3, j, b in decreasing order.\nAnswer: b, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -134, -280, -428, -578, -730, -884?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -11248999*v**3 + 2*v - 3. Let f be o(1). Round f to the nearest 100000.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - g. Let k(m) = m**2 - m - 1. Let v be (-2 + (-9)\/(-2))*4\/(-5). Calculate v*k(q) + u(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -15*x**2\/2 - 5*x - 7. Let a be b(-1). Solve -i = s - 3*i - a, -2*s = i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) 4  (c) 871\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14949\/2416 - 45\/240.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-3*-1*(sqrt(275) + 0)*-4*-1 + -5)**2.\nAnswer: 600*sqrt(11) + 39625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 4*i - 3*i)*(3 + 194*i**3 + 240*i**3 - 477*i**3)*(-3 + 3 + 2*i + (-1 + 1 - 2*i)*(-1 - 2 + 4) - 1 + 1 + i + 1 - 1 - 2*i).\nAnswer: 172*i**5 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -141 - -140.9128. What is a rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.185302 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 4 - (-9 + 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 480, 481, 482, 483, 484?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07  (b) 0.427  (c) 33  (d) -0.5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003975 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*z - 65, 7*q = -3*z + 4*q + 57. Let t(n) = -2*n**2 + 60*n - 302. Let c be t(20). Calculate the greatest common divisor of c and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234 + 77 = 4*u + 3*s, -s = u - 79. Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47694, -335, -2, -5.\nAnswer: -335, -5, -2, 47694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -80*t - 128. Determine r(1).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**1)**(-2\/181)\/(d\/d**(1\/3)*d)**(-1\/6))**(-17\/3) assuming d is positive.\nAnswer: d**(-14773\/9774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - -22. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 4*a - 20, 16*g - 11*g = -4*a + 44. What is the smallest value in 0.3, g, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c*c**3\/c)\/c)**(-1\/6)\/(c**(-2\/19)\/c*c*c**(-3)) assuming c is positive.\nAnswer: c**(99\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 23, 35, 47?\n\"Answer: 12*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/9*-27*2\/4. Is m less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1254 = -13*q - 1241. Is -2\/877 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g + 1. Let i be r(-2). Let v(o) = 2*o**2 - 40*o - 29. Let d be v(21). Let w = i + d. Calculate the remainder when w is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 - 2*f**2 - f - 1 + f**3 + 0*f**2. Let j(n) = n**3 + 4*n**2 + 3*n + 4. Let m(l) = l - 3. Let h be m(0). Let c be j(h). Determine r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 402 + -670. Suppose -20 = -5*m + 10. Is (d\/m)\/((-14)\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of 7*r**2\/2 - 3*r + 22. What is the derivative of y(x) wrt x?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(160)*-5)\/sqrt(8).\nAnswer: -10*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.94 + -0.44. Which is the smallest value?  (a) l  (b) -1.5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26 and 4459?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -106 - -109 - 2\/2. Suppose -t*j + 70 = 12*i - 10*i, -5 = 5*i. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 564 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 10:10 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (214\/12840)\/((-30)\/(-240))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/18*2*-3. Let y = k + 3. Solve -4*s - 2*l - 8 = 0, -5*s - 4*l - 8 - y = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 30\/(-188)*20\/(-25). Let s = -112\/141 + g. Let i = 1 + -1. Which is the biggest value?  (a) i  (b) s  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -148*o**2 - 185962287*o**3 - 28*o**2 - 157*o**2 + 185962285*o**3 + 2*o**2.\nAnswer: -2*o**3 - 331*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.226 plus 1361578?\nAnswer: 1361577.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 PM and 2:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5.147*0.11\nAnswer: 0.56617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from knenzejkkjkkm. Give prob of picking 2 e, 1 k, and 1 n.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4 + 66*n**3 - 1764*n**2 + 8478*n - 11583.\nAnswer: 3*(n - 11)*(n - 3)**2*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 3777*z**2 + 1891*z**2 + 1887*z**2.\nAnswer: z**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -8. Suppose 4*u = -3*h - u - 9, -3*u = 9. Suppose 720 = 98*v - 338*v. Which is the second smallest value?  (a) 4  (b) y  (c) h  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 + 0*a**4 - 2*a**4 + (a + 0*a + a)*(a**3 - 4*a**3 + a**3) - 7*a**4 + 3*a**4 + 3*a**4.\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -11907941 - 3971?\nAnswer: -11911912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 922 and 715 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 1 = n + 25, 4*m - 28 = -2*n. Let g = 47508 - 47468. Calculate the highest common factor of m and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k**3 - 3*k**2 - 2*k. Let t be c(-1). Is 4 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1165, 2352, 3511, 4636, 5721, 6760?\n\"Answer: -f**3 - 8*f**2 + 1218*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 561*f**3*t**3 - f**3 + 2*t**3 - 43 wrt f.\nAnswer: 1683*f**2*t**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**4\/4 - 387*w**3\/8 + 17827*w**2\/8 - 4311*w\/4 - 1102 = 0. Calculate w.\nAnswer: -232, -1\/2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/75 and 2\/9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -5388452?\nAnswer: 5388452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 476053580 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - -5 - (-159 + 167) - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48 + -64. Let m = -350.2944 - -334.2943987. Let k = m - u. Round k to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3 - 8\/(-3). Suppose 3*q + o*w - 46 = 5*w, -4*w + 4 = 0. Calculate the smallest common multiple of ((-87)\/58)\/(1 - 21\/12) and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 4863495364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-8)\/352)\/(1\/17) and 3\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 4*z**2 + 2*z + 1. Let c(q) = q**2 - 11*q + 9. Let a be c(10). What is the remainder when (-28)\/(-2) - 3\/a is divided by p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 + 17.9. Let t = 2.1 + w. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11254 + -11250. Suppose 11 = j + 6. Solve 6*k = j*k - z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59*v**3 + 224*v**2 wrt v.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h - 94 = 114 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8337 is divided by 397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-21))\/((-477)\/(-63) + -7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 - 10. Suppose -3*o + 34 = 5*a, 3*o + 0*o = a + 22. Suppose -u - 2*m = -3, u + 5*m - o*m - 23 = 0. What is the remainder when l is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/343 - 640\/7889. Let h = 0.09 + -0.19. Which is the nearest to -0.1?  (a) h  (b) -2\/9  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3202 - -211?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 7*m - 2. Let a(n) = -n**2 + 4*n - 1. Let b(t) = 7*a(t) - 4*j(t). Let z be b(-2). What are the prime factors of (43*2)\/(7 - z)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 - (-300)\/27*(-7)\/14. Factor d*g**3 + 2\/9*g**4 - 2\/9*g**2 - 4\/9*g + 0.\nAnswer: 2*g*(g - 1)*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 229178 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from duuuadduadudoua. Give prob of picking 3 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2406000*(5 + 65\/(-3)). Round y to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127461 is divided by 810?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0.1, 0, -1\/5, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, u: 1, s: 1, x: 1, f: 2, z: 2}. What is prob of sequence zuzx?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11\/1*(3 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192*v - 191*v + 390*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -15*p**7\/14 - 151*p**5\/12 + 559*p**2. Find the third derivative of g(n) wrt n.\nAnswer: -5400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -13718*z**4 + 148010*z**3 - 111150*z**2 + 28750*z - 2500 = 0. Calculate z.\nAnswer: 5\/19, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*d - 0*d. Suppose d*r + 9 = 5*r. Suppose m - 1 = -r*p, -2*p - 3*m + 1 = -2. Solve -8 = 4*g - p*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 494.\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-5) - (-72)\/(-180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gii when three letters picked without replacement from giii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 2 - 3)*(1 + 0 + 1) + 7 - 3 - 2 + 5 - 3 - 1 + 3 + 1 - 2)*(0 - 1 + 5)*(2*w + 3*w - 4*w)*(-109*w - 59*w - 156*w).\nAnswer: -9072*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/66)\/(6\/(-36)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -0.2, 0.06, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10286816?\nAnswer: 2, 103, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 426106119 to the power of 1\/2, to the nearest integer?\nAnswer: 20642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-4) - 756266\/280. Let c = a - -2689. What is the common denominator of 0 - -2 - (-25)\/9 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**3 + 3*u**2 + u - 1. Let p(g) = -54*g**3 - 90*g**2 - 30*g + 30. What is 2*p(f) + 60*v(f)?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/72 - (-150)\/(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k + k - 5*k - k**3 - 1 + 3*k**2 + 4. Is v(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -188308, -188292, -188296, -188326, -188388, -188488, -188632, -188826?\n\"Answer: -y**3 - 4*y**2 + 35*y - 188338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 206, 860, 1958, 3500, 5486, 7916, 10790?\n\"Answer: 222*c**2 - 12*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3. Let m(p) = 16*p**2 + 13*p + 52. Let n be m(-12). Let k(r) = -n*r**2 + 4*r**3 + 2200*r**2. Give -10*j(t) + 3*k(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*o + 128234 = 976*o for o.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.38 - 4.28. Put 5, -3, 3\/5, a in decreasing order.\nAnswer: 5, 3\/5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(468) - (3*sqrt(468)*-4 + sqrt(468))) + -4)*-5)**2.\nAnswer: -14400*sqrt(13) + 1685200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/28)\/(10\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -22183*f. Let l(z) = -2*z**2. Give g(l(t)).\nAnswer: 44366*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -10*p**2 - 9*p - 8. Let y(s) = -s - 1. Give 2*q(a) - 18*y(a).\nAnswer: -20*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 + 25. Let h be (-18)\/(-8) - (-3)\/g. Is 3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0, -2\/29, 0.5, -1\/11 in increasing order.\nAnswer: -0.3, -1\/11, -2\/29, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (0 + -6 + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 384 divided by 3290\nAnswer: 192\/1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3.762787 decades?\nAnswer: 0.3762787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1854 divide 85413780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 689, -1\/4, 3.4?\nAnswer: 689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*o = 227675 + 422242. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -322*u + 10011 - 1902 = 155*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(78) - (-2*sqrt(78)*3 - sqrt(78))))\/(2*sqrt(150) - sqrt(150) - (sqrt(6) - (sqrt(6) - (sqrt(216) + -1*sqrt(216) - sqrt(6))))).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -16044*l + 224553. Give o(14).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**1\/n)\/n**(-9)*n\/(n\/(n**3*n)*n*n)*n*(n**(-1\/9)*n)\/n)**38 assuming n is positive.\nAnswer: n**(4066\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4 - 305*d**2 + d**3 + 206*d**2 + 34*d + 118*d**2. Determine b(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, -152, -1\/2 in decreasing order.\nAnswer: 5, -1\/2, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (2 - 7 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8455637*q - 10 + 10 - 8455618*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/2 - -1. Let q = 1214 - 593. Let m = q + -621.1. Which is the closest to -3?  (a) m  (b) -2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4112, -4107, -4102?\nAnswer: -4097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*x + 146*x - 78*x**2 + 379*x**2.\nAnswer: 301*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 3*t + 10. Let n be (385\/(-10))\/((-1)\/t). Let s be n\/(-99) + (-2)\/(-9). Sort 4, s, -3 in decreasing order.\nAnswer: 4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/10*2\/120. Let w(j) be the third derivative of -i*j**5 + 0*j**3 + 0 + 0*j**4 + 0*j - 1\/240*j**6 - 4*j**2. Find a such that w(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 16) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -531*u - 143026 = -189223 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 9*b**2 - 12*b - 15. Let m be l(-10). Solve 20 = -o + 5*x, 0*o = -2*o - m*x + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 60 - 64 = -j, 4*j - f - 58 = 0. Solve x + 12 = -5*b + 26, -5*b = -x - j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y + 13*y - 11*y**2 + 6*y**3 + 14*y**3. Let p(h) = 10*h**3 - 6*h**2 + 9*h. Let m(i) = 11*p(i) - 6*u(i). Find the second derivative of m(s) wrt s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - (-1)\/(1\/(-2)). Let n(d) = d**3 + 2*d**2 - 5*d - 2. Is n(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3684785800.5 and -0.148?\nAnswer: 3684785800.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2)*b**(-2)\/b*b*(b\/(b*b*b\/(b*b\/(b*((b\/(b\/b**13*b))\/b*b)\/b))*b))\/b*b*b\/(b*b**(1\/7)*b) assuming b is positive.\nAnswer: b**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 4:05 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 48085631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let w be (120\/(-130))\/6 - 12079683\/(-117). What is w rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 64*q - 34*q - 4*q**2 + 16 - 42*q = 0. Calculate q.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 9 + 137 + -137?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 14 = -5*c + 3*c, 5*k + 15 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**1\/(l*l**(-13)) assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - 22 + 3 - 12)*(-2*s + 0 + 0).\nAnswer: 4*s**2 + 62*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c0188 - 8?\nAnswer: 1c0180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 12) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - 24. Let g = 47 + u. Suppose -5*i = 2*v - 63, 2*v - 30 = -2*i + 18. Calculate the highest common factor of v and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 597 = -5*t - 573. Let n = 308 - t. Is n a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-8 + 15 - (69 + -85))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -838*h + 28264 + 33883 = 22152 - 23693 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 53407 - 53402 - 2*d + 7*d as x + s*d and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 0*m + 12 = 5*m, 2*v - 2*m = 6. Let p be (-2)\/v*(-2)\/(-4). Let y = 230862 + -230863. What is the closest to 0 in -0.2, y, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1165 and 168.7?\nAnswer: -196535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 6:53 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-2\/7))**(-6\/7)\/(t**6*t)**(-8) assuming t is positive.\nAnswer: t**(2690\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -3136.3 < -0.0468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of 0 + 3*b**2 - 11*b + 1\/20*b**4 + 0*b**3 + 1\/150*b**5. What is x in q(x) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 3*l + 102, -5*g + 78*l = 81*l - 122. Solve g = 4*y - 3*p, 2*y - 3*y + 3*p + 25 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4785 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -298669328*x + 136336594?\nAnswer: -298669328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48024481*p*v + 17770471*p wrt v?\nAnswer: 48024481*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000610723 to 6 dps.\nAnswer: 0.000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -328*n + 334*n - 12. Suppose n*b = 5*o - 8, 0 = o - 15*b + 10*b - 20. Solve 5*x + 7 + 8 = o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 12 - n**2 + 12)*(6*n - n - 3*n).\nAnswer: -2*n**3 - 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146663.\nAnswer: 11, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0861?  (a) -2\/29  (b) 0  (c) 1  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -x + 4*c + 181, -583 = -3*x - 4*c. Suppose -36 - x = -5*v. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 4*u + 4350 + 3569, 0 = -3*o + 5*u + 23689. Does 103 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d + 5*h + 12 - 27, -10*d = h - 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 300 = 4*m - 284, 3*q - m = 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -945401244 by 3.\nAnswer: -315133748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 576 by -6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -9*p**2 + 3*p - 2. Let b be q(6). Calculate the common denominator of 1630\/b + (-18)\/(-42) and -71\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 540 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 4*k - 15. Suppose 2 = -k*b - 10. What is the common denominator of 16 and (1 - (-38)\/(-24))*b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g - 42. Let i(u) = 6201*u**2. Determine m(i(o)).\nAnswer: 6201*o**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3663319 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(0 + -1)\/1. Suppose t = 3*w + f*t - 381, 508 = 4*w - t. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -1846.\nAnswer: 2\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-12)*1)\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -273.7 from -503.\nAnswer: -229.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 2*h - 2, 5*b - 10 = 3*h + 2*h. Let s(d) = -8*d + 8. Let l be s(b). Suppose -4*t - 3*i + l = -3*t, 144 = 4*t + 4*i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 + 2*p. Let l be f(-3). Solve 16\/3*w - 25\/3*w**2 + 19\/3*w**l - 7\/3*w**4 - 4\/3 + 1\/3*w**5 = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 21 = -3*v, 3*g = 9*v - 5*v - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 less than -50.61?\nAnswer: -36.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4828 - 4828 + 9*q + 119*q + 10*q.\nAnswer: 138*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 14088509 = 2*r, -4*r + 9*s - 4*s = -28177017. Let b = r - 387452007\/55. Let t = b - -329. Is t != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6720 = 73*b - 81*b. Let j be 3 - 2 - -8*243. Suppose -j = -5*z + b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2070474 and 84?\nAnswer: 4140948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5*y + 23 = 4*i, 135 = 5*i + 3*y. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1238 and 11761.\nAnswer: 23522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 138 and 1221?\nAnswer: 56166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 352\/(-616) + ((-1290)\/21 - 2). Which is smaller: -255\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 165\/11392 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -362*q**2 - 30*q + 6. Let j(z) = 23529*z**2 + 1955*z - 391. Give 6*j(v) + 391*k(v).\nAnswer: -368*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of 3*x**4\/4 - 143*x**2\/2 - 158*x + 45. Differentiate r(k) with respect to k.\nAnswer: 9*k**2 - 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d = 7*d. Let p = 2 + d. What is the third biggest value in p, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1584) + 0)*5*2 - (sqrt(1584) + -1 + 0 + sqrt(1584) + (2 + sqrt(1584))*2))**2.\nAnswer: -432*sqrt(11) + 57033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/5*(-6 + (-368)\/(-64))*10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 911, 961, 1013, 1067?\n\"Answer: q**2 + 47*q + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-one halves of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.7 - 12. Let w = y + 0.5. Let s = 0.4 - w. Which is the closest to 0.1?  (a) -2\/3  (b) s  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21847806217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 5 + (-3 + 0 + 2)*(1 + 0 - 3) - 5 + 0 + 2)*(115*c - 66*c + 193*c)*(5*c + 4*c - 4*c) to s*c**2 + b + i*c and give s.\nAnswer: 2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1719750 is divided by 429915.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 38\/(-19)*1\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -705 = -35*c + 32*c. Let j = -137 + c. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 3, 15 in decreasing order.\nAnswer: 15, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*n - 165 = -371 + 22 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -1391*d**9\/504 + 2*d**5\/15 - 35*d**3\/6 + 15666*d**2. Find the third derivative of z(p) wrt p.\nAnswer: -166920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (5 + 0 + -5 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.495 + 1.795. Let h = -13 - -11.3. Let f = h + u. Which is the nearest to 1?  (a) f  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(54\/9)*6\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (9\/((-324)\/8))\/2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001001011101001000101 (base 2) to base 16.\nAnswer: -24ba45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3548b (base 13) in base 8?\nAnswer: -276263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 854*k**3*l + 133*k**3 + 7*k**2*l + 13*k*l - 2*l + 185 wrt k?\nAnswer: 5124*l + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, w: 1, o: 11, b: 1, k: 1, x: 2}. What is prob of picking 1 y and 1 o?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 5*y - 1. Let w be g(1). Suppose w*u - 3*v = -17, -5 = 2*u - 3*v + 2. Is -7 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/40*20\/(-25).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -165063, -330030, -494997, -659964, -824931, -989898?\n\"Answer: -164967*d - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1372 - -177. Suppose -a - g - 79 = 2*u, -3*a = -u + 4905. Let n = -537 - a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 340, 6, -4, -3, 0, -1 in decreasing order.\nAnswer: 340, 6, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -56*l. Suppose 1 = 2*z + 3*w, -w + 6 = -6*z + z. Let u be d(z). Suppose -t + 20 = -3*x, -x - u = -5*t + 3*x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 3*i**2 - 3. Let s be m(3). Let v = s - -5. Let t(l) = 6 - 4 + 3*l - v. Let o(a) = 5*a**2. What is o(t(z))?\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y + 11. Let j be p(13). Let b = j + 28. Suppose 4*s - b = 85. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/60 and -125\/612.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of 0*p + 0 + 1\/8*p**4 - 3*p**2 + 0*p**3. Let z(x) = x. What is z(b(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 5*c**2 + 7*c - 3. Let n(j) = -2*j**2 - 3*j + 2. Let t(h) = 7*n(h) + 3*y(h). Calculate the remainder when t(-4) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-22\/7))\/(s\/s**(-1\/9)) assuming s is positive.\nAnswer: s**(191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -74 + 93. Which is greater: 18 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 4*q + 71 = 0, 0 = -3*d + 2*d + 3*q - 28. Let m be 20\/d + (-2)\/(-10). Do m and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207 = 2602*i - 2579*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 30*(-16 + (-1764)\/(-108))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 - (36 - 6 - 28)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 6:10 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4 - 65*b**2 - 10*b**3 - 4 + 76*b**2. Let s be 28\/49*(-245)\/(-6)*-3. Let z = -48 - s. Let f(t) = t**3 - t**2. Determine z*f(l) + 2*i(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 61 - 49. What is the greatest common divisor of k and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 124 = 2*p + 58, 4*l = p + 373. What is the remainder when 1032 is divided by l?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**2 + 27*g + 548. What is w(-15)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 6*q + 2145 = 0. Let g = 188 + q. Let c = 3 + -2. Do c and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 7*f + 3. Let k be y(7). Let c(j) = -j**3 - 9*j**2 - 9*j - 5. Let a be c(-8). Solve -k*r = -4*x + 7, -a*x + 5*r + 10 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 5*v + 3. Let f be u(8). Let i = f + -23. Suppose i*z - 14 = 38. Calculate the highest common factor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 496 a factor of 17022981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1544980, -3089964, -4634948, -6179932?\nAnswer: -7724916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6*(-240)\/(-288) + 0. Suppose -u - 16 - 6 = -5*h, -5*u + 20 = h. Let p(f) = u + 2*f - f - 2. Let j(r) = -6*r - 4. Give w*p(t) - j(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.8 - -2.2. Let y = 461\/24 + -23\/8. Let x = y - 107\/6. Which is the third smallest value?  (a) -1\/9  (b) x  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 9427, 6, 1, 5 in ascending order.\nAnswer: 1, 3, 5, 6, 9427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 + 2*i**3 + 184 - 363 + 179.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1818  (b) 5  (c) 4\/9  (d) 1\/6  (e) -37\/6  (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -39, -164, -307, -474, -671, -904?\n\"Answer: -d**3 - 3*d**2 - 109*d + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 y when three letters picked without replacement from {y: 9, l: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -204, -770, -1682, -2934, -4520, -6434, -8670, -11222?\nAnswer: -14084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b. Let n(a) = 13*a**2 - 11*a. Let g(m) = -7*m**2 + 6*m. Suppose -2*z - 3*r = -34, 3*r - 1 = z - 0. Let v(p) = z*g(p) + 6*n(p). Calculate v(f(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -21. Is n equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3292.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**4*c - 9*a**4*k + 1942*a**3*c*k - 7*a**2*c + 2*a**2*k - 12*a*c*k + 27*a*k + 2*c wrt a?\nAnswer: -24*a*c - 216*a*k + 11652*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 645846475 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2044*p - 913?\nAnswer: -2044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 292650006 times 5\nAnswer: 1463250030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9144 is divided by 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 422269475 + 0.4.\nAnswer: 422269475.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 4, -3*v = -2*m - 6 - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**2 + 2*i + 1. Let k(a) = -3*a**2 - 2*a - 1. Let g = -238 + 242. What is g*p(w) + 3*k(w)?\nAnswer: -w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 88*g**5*y**2 - 3*g**3*y**3 + 2*g**2*y**3 - 3*g**2 - 3*g*y**3 wrt g.\nAnswer: 5280*g**2*y**2 - 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7260*s**2 + 4 + 3645*s**2 - 4 + 21*s.\nAnswer: 10905*s**2 + 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 5*w**2 - 5*w - 4. Let v = -16 - -17. What is the remainder when j(6) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52 + -54. What is the closest to w in -1\/5, -4, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48*q**3 - 26443716*q**2 + 132218805*q\/4 - 10329600.\nAnswer: -3*(q + 550912)*(8*q - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/583, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -11*x**2 + 34. Let p(i) = -6*i**2 + 18. Determine -5*p(b) + 2*t(b).\nAnswer: 8*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 134, -1, -6, 61, 4 in ascending order.\nAnswer: -6, -1, 4, 61, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 59*a*y - 34*a*z - a + 36*y*z + 201*z - 1 wrt a?\nAnswer: 59*y - 34*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 1 = s - 8, -5*k - 17 = 3*s. Let o be ((2 + -82)\/1)\/(s\/(-65250)). Round o to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71684012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 888.999999433 - 889. What is i rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 + 3*q + 9. Let v be d(-4). Let k = 9 - v. Sort 4, 0, k in decreasing order.\nAnswer: 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 2\/9  (c) -82.7  (d) 1\/3  (e) -1\/5  (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21280, 21281, 21282, 21283?\nAnswer: 21284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(-2 + 2 - o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*r**2 - 7*r**2 - 15*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/43532 and -69\/335196400?\nAnswer: 335196400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -700, -4299, -13072, -29287, -55212, -93115?\n\"Answer: -378*u**3 - 319*u**2 + 4*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -1638*s - 154. Let x(m) = 218*m + 22. Let u(z) = -2*j(z) - 15*x(z). Let h(p) = p + 1. Calculate -5*h(i) + u(i).\nAnswer: i - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/4 - 2 - 39\/1. What are the prime factors of w*((-46)\/4 + 6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 12*k + 16. Let o(v) = 2*v**2 + 6*v + 5. Let h(u) = o(u) - x(u). Determine h(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + (3 - 4) + 33 + -27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2. Let m(i) = 2*i - 42. Let o be m(23). Let h(u) be the third derivative of 0 + 5\/24*u**o + 0*u**3 + 0*u + 7*u**2. Determine j(h(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**4 - 7362*v**3 - 696348*v**2 - 16162008*v.\nAnswer: 3*v*(v - 2546)*(v + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-64)\/(-12) + 60\/(-15))*843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131716813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*b**4 - 17*b**4 + 14*b**4)*(0*b + 2*b + 0*b).\nAnswer: -32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 57*o**3 - o**2 + o + 1. Give k(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(3) - -1*sqrt(108)) + sqrt(30)\/sqrt(1000))**2.\nAnswer: 15423\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3481998 is divided by 116066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 3)*(11 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 4*k**2 - 5*k + 3. Let t be a(-5). Suppose 5*p + 2 + t = 0. Let d(v) = -v - 1. Let w(y) = -1. Let x(c) = d(c) - w(c). Give x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 24*r - 10. Calculate p(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-97*q**2 + 85*q**2 - 10*q + 10*q**2 + 1)*(-3*q**3 - 11*q + 11*q).\nAnswer: 6*q**5 + 30*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**8\/(v*v**1\/v)*v\/(v\/v**(-2\/7))*v*v**(-2\/15) assuming v is positive.\nAnswer: v**(796\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1241 is divided by 229.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 899, 938, 965, 974, 959, 914, 833, 710?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25924 - 14069. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -5*m + 29, 4*m - 2*h = 9*m - 26. Which is the second biggest value?  (a) -0.2  (b) m  (c) -1\/2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172566385?\nAnswer: 5, 29, 229, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -65543, -131074, -196611, -262154, -327703?\n\"Answer: -3*g**2 - 65522*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 701 divide 904458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*a + 4*g + 8 = 0, 0 = -3*a - 4*g + 8. Solve -q + 12 = -3*l, l + a*l + 19 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -54503.78 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**2 + 3*w. Let b be u(-2). Suppose b*h + 4*f - 36 = 0, 4*f + 48 = 4*h - 0*f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2 - 50*z + 51*z + 2. Let n be j(4). Let o = 2 - 1. What is the greatest common factor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/2  (b) 2.7  (c) 1\/498  (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31160*y + 31159*y + 29015. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2989976 or 3?\nAnswer: -2989976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 52 = 9*n. What are the prime factors of (-57*n\/(-10))\/((-15)\/250)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -96*o + 33. What are the prime factors of s(-60)?\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-15))\/((-3690)\/1800 - (-18)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-88*l - 8 + 89*l - 20)*(-1 + 1 + 4*l)*(3*l + 4*l - 5*l).\nAnswer: 8*l**3 - 224*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 3*a**2 - 5*a + 367. List the prime factors of j(0).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of v**7\/315 - v**6\/90 + v**4\/18 - v**3\/9 - v**2\/2 + 2. Let h(c) be the second derivative of p(c). Factor h(j).\nAnswer: 2*(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 457 - 464. Let y = i - -22. Which is greater: y or 174\/11?\nAnswer: 174\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*p**4 - 8*p**3 + 46*p - 46*p)*(-3 + 0 + 4) to the form w*p**2 + m + n*p + a*p**4 + i*p**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 85 + -93. Let v be (136\/(-60) - -2)\/(g\/12). Which is the fourth biggest value?  (a) 1  (b) v  (c) -4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + -2*(5 - 4). Suppose -2*o - n = -1, -o - 28 = -g*o + 5*n. Solve -4*v + 4 = -3*k - o*v, -12 = -5*k - 3*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47*b + 56*b + 748*b to j*b + q and give j.\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 832 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 10 + 3 - f + 6. Calculate the remainder when 139\/4 + 2\/8 is divided by j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -270843 greater than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 - 5*b**4 - 6 + 2 + 43*b + 65*b**2 + 17*b.\nAnswer: -5*b*(b - 4)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -4. Let i(f) = 3*f**2 + 1 - 4*f**2 - f - f**g - 5*f**2 + 3*f**2. Give i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gfpgppggfftefl. What is prob of sequence lfe?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(14\/5)\/z)\/z**(-30))\/(z\/(z\/(z\/(z*z**(-26\/3))*z*z)))**(-39) assuming z is positive.\nAnswer: z**(2239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 61036 + 2*y**2 - 61036 - 6*y = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 8*p - 3. Let c be j(-5). Let a = -21 - c. Calculate the remainder when a is divided by 3\/(3\/(-8))*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 96*j - 237. Determine k(4).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 900 and 9315\/(-414)*72\/(-10)?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 + 65*k - 33. Let i be v(-33). Solve -3*x + i*x = -12, x - 7 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 5. Let t(o) = 69 + 5*o - o - 5*o - 68 + 3*o. Let n(g) = -g. What is k*t(a) - n(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -3. Let c = 1 - h. Let n(r) = r**3 + 2*r**2 + 3. Determine n(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 18377340 to the power of 1\/2, to the nearest integer?\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w - 89. Let v(x) = -3*x + 59. Let a(p) = 5*s(p) + 7*v(p). Let i be a(8). Solve i = -2*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2248527 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5\/2  (b) -3  (c) -0.2  (d) -11  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -0.15665051.\nAnswer: -1.84334949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5.1 in -686\/5, -87, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 538508.7cm to micrometers.\nAnswer: 5385087000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232658589?\nAnswer: 3, 77552863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(272) - (1 + sqrt(272) + -1 - sqrt(272))) + 0 + 2*sqrt(272) + sqrt(272) - ((sqrt(272) + 3)*2 - sqrt(272))*-3)**2 + -4.\nAnswer: 1008*sqrt(17) + 13652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2086 and 3725?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -152017*q**3 - 66438.\nAnswer: -456051*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-348*g + 262*g - 313*g)*(2 - 2 - g) - 4*g**2 + g**2 + 2*g**2.\nAnswer: 398*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1579.1894 plus 2251664?\nAnswer: 2253243.1894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from fmnnmnsfsfnp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 620 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuquuoxoffxouuxou. What is prob of sequence uqof?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nxen when four letters picked without replacement from {e: 2, x: 8, n: 2}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*k - 98*k + 113*k.\nAnswer: -53*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 6:44 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-5))\/((-248)\/(-310)*10\/(-4)). Solve -4\/5 - o - s*o**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 3968?\nAnswer: 43648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 5*m + 2. Let f(i) = -i**3 - 7*i**2 + 7*i + 14. Calculate the remainder when f(-8) is divided by y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 218935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/30 and 33\/12502?\nAnswer: 187530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 5*j + 3. Let r be 2 + j + 4 + 3. Suppose f + 2 = -0*g + g, 28 = r*g + f. Solve k = g*k - 5*s + 5, -5*s = 2*k - 33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10564.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12681 + -12681. Which is the nearest to 1?  (a) f  (b) -118  (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 9*u**3 - 8*u**2 - 8*u - 3. Let v(m) = -5*m - 2 + 2*m**3 - 6*m**2 + m**2 + 4*m**3. Let t(g) = -5*n(g) + 8*v(g). Differentiate t(f) wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126, 113, 92, 57, 2?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 + 621*u + 1254.\nAnswer: -3*(u - 209)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 10:50 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23915*f + 2497*f + 542*f to i*f + z and give i.\nAnswer: -20876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -348, 236 in descending order.\nAnswer: 236, 1, -2, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 49297 > 49296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of x**5\/20 - x**4\/12 - x**3\/3 + 212*x**2. Let m(l) = -7*l**2 + 5*l + 4. Calculate -4*m(d) - 9*w(d).\nAnswer: d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5492227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*j - 20 = 202, 3*j + 74 = g. Calculate the remainder when 218 is divided by g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-48)\/40 - (-21)\/5. Suppose 0 = -n - 0*n + 81. Suppose o = -h + n. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56818892.\nAnswer: 2, 13, 19, 131, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5115 and 1644240?\nAnswer: 18086640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 6:40 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 - f + 2. Suppose -19 = -2*b + 9. Suppose 10*j = 8*j + 6. Suppose -j*q + b = 4*q. Calculate p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1986*f + 1685*f - 658*f - 200*f.\nAnswer: 2813*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + 0.67300733181333.\nAnswer: 0.17300733181333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -29 and 0.027561964551?\nAnswer: 29.027561964551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -220*b**2*s**3 - 32*b**2*s**2 + 2*b**2 + 1002*b*s**3 + 22*s**3 + 1977 wrt s?\nAnswer: -1320*b**2 + 6012*b + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 48192659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {s: 2, r: 5, a: 1, d: 8}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/2)\/(4\/(-8)). Suppose 0 = 2*b + t*b. Solve -2*y = -b*y - p + 4, -2*y - 10 = -4*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2902 - 2422. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/10*0 - 1. Let a(h) = -6*h**3 + 3*h + 1. Let f be a(l). Let b(i) = -5*i**2 - i - 4. Let m(c) = c**2 + 1. What is f*m(y) + b(y)?\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 132 (base 6) to base 7\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qvqg when four letters picked without replacement from {k: 1, v: 2, q: 4, g: 3, o: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 3*o = 15277, -2*f + 0*o + 2*o = 3818. What is the tens digit of (f\/8)\/((-21)\/84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2913407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3782 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -661 - -658 - (0 + -1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*f + 1182 = 264. What is the least common multiple of f and 843?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 943084?\nAnswer: 2, 19, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7252\/2623 + 180\/61. What is the common denominator of l and 71\/4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of b**5\/110 + b**4\/66 - b**3\/33 - b**2\/11 + 3*b + 1. Let r(c) be the first derivative of d(c). Factor r(w).\nAnswer: 2*(w - 1)*(w + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 556788*y**4 - 373314*y?\nAnswer: 6681456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 418324 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/5 + 731318*h**2\/5 - 1462633*h\/10 + 182829\/5.\nAnswer: -(h - 365658)*(2*h - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 6*(-3 + -2 + (sqrt(325) - (sqrt(325) + -1)) + 1 + 1) + -1)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -10\/66853781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p + 5*r + 2164 - 2169, p - 4*r = -1 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -161*g*h**2*j**3 + 140*g*h*j**2 - 2*g*h - 12*h**2*j**3 - 2*h**2*j**2 - 2*h**2*j wrt j?\nAnswer: -966*g*h**2 - 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 721980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 + -39. Let j = -62 - s. What is the tens digit of 1\/(j + 0) - 943\/(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10700582*m**4 - 112478*m.\nAnswer: -128406984*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - 5*x - 4. Let m be y(-3). Let u be m - 1 - (-546 - 8). Suppose -7*f + 2*f + u = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -320856, -5, 0, 2 in decreasing order.\nAnswer: 5, 2, 0, -5, -320856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23990*z - 316 + 316 - 3*z**3 - 23990*z + 2*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -223910.\nAnswer: 1\/111955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 724302647.\nAnswer: 277, 2614811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**2 + 5*g**2 + 4*g + 0*g + 2*g**3 + (-2*g - 1 + 1)*(-2*g - 2*g**2 + 2*g) - 2*g**3 - g**3 + g**3 to i*g**3 + l*g + t*g**2 + y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + p**2 + 10)*(1 + 0 - 2) + 0*p**2 + p**2 - 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 42805259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w + 7. Let f be a(5). Solve 0*g = -f*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.3834 to two dps.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2846 - 5855.6. Let p = -3379 - y. What is p rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-5*6) + 3 + 3)**2*-4.\nAnswer: -261536 - 2976*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 - 2532?\nAnswer: -2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1835, -3505, -5175, -6845, -8515?\nAnswer: -10185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 622178.5719 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fcs when three letters picked without replacement from dfdfsdcdsseeds?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -5*y + 7. Let o be 28 + 6 - (5 - y). What is the highest common factor of o and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2218 - 13*v + 2197 - 4436)*(2 + 5 - 4).\nAnswer: -39*v - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + -2*sqrt(1900))**2 + (sqrt(19) - (5 + sqrt(19)*2)) + (-2*(0 + sqrt(931)))**2.\nAnswer: -sqrt(19) + 5619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x**2 + 476*x - 4. Determine c(-119).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1137 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 + 8*u + 3*u - 15*u)*(-35*u - 9*u**2 + 35*u).\nAnswer: 36*u**3 + 396*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -47 + 41 - (-8 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and 180535318.8.\nAnswer: 180535318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -2. Let q be 6\/2*(3 + 14\/6). Suppose -q = 6*f - 22. Put f, -1, o in increasing order.\nAnswer: -1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.2 and -12?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63800 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -152 (base 10) to base 11.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.5  (b) 0  (c) 19\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -8*k**4\/3 - 5182*k**3\/3 - 3016*k**2 - 2582*k\/3 + 1292\/3 = 0.\nAnswer: -646, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**(10\/9)))\/y*y*y*y**(-6))**(1\/20) assuming y is positive.\nAnswer: y**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300 and 20794200.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 3, 0, 13.\nAnswer: -4, -2, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -5*b + 2. Let d(r) = -66*r + 27. Let v(p) = 2*d(p) - 27*f(p). Let y(m) be the first derivative of 0*m + 1 + 2\/3*m**3 + 0*m**2. Give v(y(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2*n**3 - 4*n**3 + 2*n**4 + 5*n**3 + 2*n**3 - n - 39*n**2 in the form y*n**4 + k*n**2 + u + p*n + r*n**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2761600.\nAnswer: 2, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o + 5. Is 2 a factor of f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 10 + w - 25 + 14 + 9*w**2. Give i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -61*n**4 + 4*n**3 - 39*n**2 + 4. Let t(a) = -62*a**4 + 5*a**3 - 39*a**2 + 5. Let r(g) = -4*t(g) + 5*x(g). Find the third derivative of r(v) wrt v.\nAnswer: -1368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + (-3)\/((-12)\/8). Suppose p*t - 143 = -32. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8715 and 8295.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1840*w = 1460*w + 3040 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d - 4. Let n(m) = m - 3. Suppose -4*j - 6 + 30 = 0. Determine j*n(u) - 5*b(u).\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12888 divided by -2148.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1115 + 2243. Let k = -4541\/4 + f. Find the common denominator of k and (-3 + 2)*(-300)\/(-84).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**6\/120 - o**5\/10 - 7*o**4\/24 - 5*o**3\/3 - o**2. Suppose 7*p - 24*p = -408. Suppose 29*z = p*z + 35. Calculate n(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 a when three letters picked without replacement from {j: 3, a: 5, l: 2, f: 3, p: 7}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -187 - -276. Suppose i - 292 = -5*m, 4*m - 135 = 4*i + g. Let d = -39 + m. What is the greatest common factor of d and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b*b**(1\/3))\/b)**(-2\/17)*b*b**(-15)*b*b*b\/((b*b\/b**3*b)\/b) assuming b is positive.\nAnswer: b**(-524\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-144)\/(162\/9) + 8. Let f(u) be the second derivative of 0 + 8*u + 1\/4*u**4 + k*u**3 + 0*u**2. Let l(p) = -5*p. Calculate l(f(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 19 - (77 - ((25 - 14) + -22))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -4, 3, -1 in ascending order.\nAnswer: -6, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (2 - 0) + -6 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*z + 0*z + 0*z)*(-6*z - 2*z + 3*z) + (2 + 3*z**2 - 2)*(-4 - 3 + 5) as p*z + h*z**2 + q and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1515 smaller than 3\/136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111010010 + -111?\nAnswer: -1111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 371 - -1935. List the prime factors of r.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in -2, -3, 3, 4\/3, -9\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 23 - p**2 - p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31650113?\nAnswer: 11, 2877283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -h + 4*p + 5, -3*p = 0. Let v be ((-26)\/(-4))\/((h - 2)\/(-6)). Suppose 10*f - v*f + 327 = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 15. Suppose -2*o = n + 9, 3 = -x*o + o - n. Let i(d) = d**2 + 6*d + 7. Calculate i(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1679 = 42*h + 965. Calculate the greatest common divisor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-225)\/(-25) + -7 - (1 - 2). Let f = 3 + -1. Sort u, -0.4, -1\/3, f in descending order.\nAnswer: u, f, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10102 (base 3) to base 15\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -19*i**4\/24 + i**3\/2 - 12147*i**2. Let k(m) = -9*m + 2. Give -4*a(f) + 7*k(f).\nAnswer: 13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-47 - -40) + (0 - 1) + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -3*t**3\/7 - 1485*t**2\/7 + 5988*t\/7 = 0.\nAnswer: -499, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 649 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3374720*i**5 - i**3 + 18666137*i**2.\nAnswer: 202483200*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 719 is divided by 73.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(275)\/sqrt(5))\/(sqrt(11) - ((sqrt(66)\/sqrt(3))\/sqrt(2) + sqrt(11))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 103304268182\/10263 + -10065699. Let s = -5\/394 + 1161\/122534. Let z = h - s. Are -1 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 4*m**2 - 28*m + 77. Let b be a(3). Suppose -b = s - 4, 3*s - 174 = -3*v. Solve -51 = 5*i - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -141 - 183 + 264*k - 74 + 125 - 93*k. Calculate the lowest common multiple of u(15) and 22.\nAnswer: 25212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5285 - 5281. Suppose 4\/3*r**2 + 0*r - 5\/3*r**x + 0 - 8\/3*r**3 = 0. Calculate r.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4352.76 rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.05  (b) 2\/9  (c) 4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 32*y**4 + 29*y**4 - 41*y**2 + 4*y**3 + 38*y**2 - 5*y**3 in the form s + h*y**3 + n*y**4 + r*y + a*y**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7928, 15861, 23800, 31745, 39696, 47653, 55616?\nAnswer: 63585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*u + 91*u - 3096 = 0. Let b = u - -897. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4915768 is divided by 192?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 44221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -401 + 398. Suppose 0 = 3*s + 6, -2*s = -h - 0*h - 5. Put h, p, 0 in descending order.\nAnswer: 0, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-48))\/(3\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {v: 5, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -17. Suppose -6*b = -h*b + 306. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2187162 divided by 1093581\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6, -32, -106, -252, -494?\n\"Answer: -4*r**3 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 285 divided by 3?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 178 and 40?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 26864  (b) 1\/7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from nhblb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -4, -8 in ascending order.\nAnswer: -8, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 268*b**2. Let j(o) be the third derivative of o**4\/12 - 47*o**2 - 3*o. Calculate j(x(s)).\nAnswer: 536*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)*5 + sqrt(30))\/((2*sqrt(66) - sqrt(66))\/sqrt(11)).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - 4\/(-3))*-3. Suppose -2*g - 1 = -b + 1, -o*b - 3 = 3*g. What is the tens digit of (8 + g)*(-10)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 220 and 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-610)\/45*108\/(-24). Calculate the highest common factor of p and 29646.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8922 (base 10) in base 12?\nAnswer: 51b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, -0.038, -5, -1\/3, 0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 606599 less than -1361683.9?\nAnswer: -1968282.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**2\/21 + 6*l\/7 + 12\/7 = 0. What is l?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/sqrt(3)*3)\/(sqrt(495)\/sqrt(11) - sqrt(5)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((2*sqrt(75)*-5 + sqrt(75) - sqrt(75)) + -4*(sqrt(75) + sqrt(75)*-2) - (4 + -2*(sqrt(75) + -1)))**2.\nAnswer: 240*sqrt(3) + 1234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x. Suppose m = 18 - 20, 3*m + 6 = 5*r. Let v(o) be the first derivative of -2 + r*o + 3\/2*o**2. Give v(u(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 2*j**2 + 3*j - 3. Let q be p(3). Let y = -4.8 + 6. Let t = y + -3.2. Which is the smallest value?  (a) q  (b) 1\/5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 753d1c6 + -2?\nAnswer: 753d1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**2 - 86*b - 14. Give m(28).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11695145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -10. Let n = l + 2. Let g = 6.000003 - n. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o + 37. Calculate y(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 13644.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 7205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 9*t = -36. Suppose -c = 4 - t. Solve 4*i - 6*i - 3*j + c = 0, 4*j - 18 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-1)\/18*3). Suppose 0 = -4*j + k*j - 20. Suppose -7 = 5*q - 2*i - 23, -4*i - j = q. Solve 0 = 2*l + 4*u + 2 + q, 0 = -3*l + 3*u + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 6:16 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 509 - 374 = 15*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5*w**3 - 3*w - 3. Let t(x) be the first derivative of 21*x**4\/4 - 13*x**2\/2 - 13*x - 125. What is -26*q(m) + 6*t(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4122792 (base 10) to base 12.\nAnswer: -1469a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 5*r - 20 = -5*d, -d + 4 = -r. Let t be (0 - (r - -1)) + 4. Suppose -3*b + 0*b + 18 = 0. Solve -t*l + 3 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*h. Is 10 a factor of (h - -38) + (-10)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1 + (sqrt(42)\/sqrt(6)*3 - sqrt(7)) + sqrt(7) + 2 + 3*(-2*sqrt(175) - sqrt(7)).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 4*u + 3. Let a be w(3). Let p = 3 - a. Suppose 2*c = c + p. Solve 0 = 2*x + 3 + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 2*f**2 + 7*f + 4. Let x be v(4). Let b be (-9)\/(x + -3) - -6478. Let c = b + -142511\/22. What is the common denominator of -31\/4 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 22 = -w - 4*w, -2*w - 2 = -s. Suppose s*a = 9*a - 246000. What is a rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -17 + 13. Solve 5*c - 22 = -x*y, -3*c + 4*y + 0*y - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*m = 29*m + 76. Solve -3*l = 4*c - m, 0*l - 3*c + 14 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21.65*60\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -159900 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vlooolooolvovvv. What is prob of picking 2 l and 1 o?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 487225 and 65?\nAnswer: 6333925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11440.62 - -11445.62. Suppose -22 = -0*g + 3*g + 5*c, 3*g - 28 = 5*c. What is the fourth biggest value in g, -7, -2\/3, d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 822 - 825. Sort l, -1, 42, -14 in decreasing order.\nAnswer: 42, -1, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*x**2 - 13*x**2 + 7*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**3 - 65*h**2 + 29*h + 63. Let g(i) = -3*i**3 - 97*i**2 + 44*i + 94. Let m(v) = -7*a(v) + 5*g(v). Does 33 divide m(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11030031 + 3?\nAnswer: -11030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1, 10, 29, 58, 97?\n\"Answer: 5*p**2 - 6*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -219, -28, 163, 354, 545, 736?\n\"Answer: 191*x - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 990 and 594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*g - 1145*g = 1419*g - 314*g + 321177 for g.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, d: 4, u: 8}. What is prob of picking 4 u?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i - 3. Let a be n(2). Suppose 2*v - 34 = -t - a*t, -4*v = 4. Let z = -109 - -136. What is the highest common factor of t and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 divided by -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 165466*c**3 + 64389.\nAnswer: 496398*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4908)\/(-8)*(0 - 3). Let i be -3 - -1795 - 6\/(-3). Let z = r + i. Find the common denominator of z and 15\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*h**3 - 2392*h**2 - 4772*h - 2384 = 0. Calculate h.\nAnswer: -596, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4  (b) -3  (c) -285  (d) 46  (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/2 - 869*i**2\/2 + 3463*i\/2 - 2595\/2.\nAnswer: (i - 865)*(i - 3)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-5)*o)\/(o**(1\/5)\/o)*(o**(1\/5)*o)**(-2\/13))**37 assuming o is positive.\nAnswer: o**(3663\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 7 = 2*t + 3, l = -t - 5. Suppose 5*y + l*y - 202 = 4*x, 0 = -2*y - 5*x + 94. Calculate the greatest common divisor of y and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1 + (sqrt(200) + -2*sqrt(200) - sqrt(200))**2) - (sqrt(24)*2)\/((sqrt(144)\/sqrt(4))\/sqrt(12)).\nAnswer: -4806 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 473*t + 477*t = -4, -3*d = 2*t + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 14082409 in decreasing order.\nAnswer: 14082409, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/(-22464)*-6*3\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a2d (base 14) in base 13?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v. Let m(x) be the first derivative of 10*x**3\/3 - 7*x + 8. Let j(t) = -7*t**2 + 5. Let d(y) = 7*j(y) + 5*m(y). Give d(s(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 0. Let j(u) = u**3 - 9*u**2 + 8*u - 4. Let o be j(8). Let s be ((-241)\/3374)\/((-2)\/80). What is the third biggest value in b, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d**2 - 3*d**2 + d**2 + d**2. Let q(b) = -3*b. Give j(q(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2027\/715 + 7\/65. Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1365 - 814. List the prime factors of w.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -700*j + 673*j. Let x = 0 - 0.1. What is the closest to x in j, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - c - 3 = 0, 224 = 4*j - 5*c + 161 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 108031 or 108033?\nAnswer: 108033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -10*w**2 + 77*w - 50. Let f be v(7). Sort -4, f, 5 in descending order.\nAnswer: 5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(34)\/sqrt(2) + 3*(-1 + sqrt(17)).\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -627\/93902 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of f**7\/4200 - f**6\/75 + 23*f**5\/600 - 4*f**3\/3 + 6*f - 121. Let q(s) be the third derivative of w(s). Factor q(c).\nAnswer: c*(c - 23)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*g - 3*k + 3, 94*g - 91*g - 4*k = -4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/48009 in 2\/3, -2\/3, -34?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 5*w - 91 + 179 = 133, 0 = -5*w for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4*b - 20444 = 18087, -4*t + 154082 = 2*b. List the prime factors of t.\nAnswer: 13, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -437.68 and -13.3302911.\nAnswer: -451.0102911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t - 4 = -60. Is -259 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/9*(-5 - -2). Suppose 5*x - a = 10. Suppose -5*i = 5*d - 0*d - 690, -x*d = i - 136. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 60 = 4*y, 65 = 6*w - 2*w - 3*y. Suppose 0 = 2*p - 16 - w. Calculate the greatest common factor of 45 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -84.3 - -77. Let q = t + 7. Let v = -50 - -50.4. Which is the smallest value?  (a) -1  (b) q  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 109591481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/27)\/(((-7)\/14)\/(1053\/18))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.8 and -207?\nAnswer: 579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -290, 2, 1780 in ascending order.\nAnswer: -290, 2, 1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/3)\/(44\/(-330))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = v + 38, 50*v - 80 = 1448*t - 1452*t + 54*v for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1766160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwawyww.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1372 take away 14540333?\nAnswer: -14538961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 5 = r, -212 = -5*a + r. Calculate the greatest common factor of 473 and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**2 + 6216*q - 550035 = 0.\nAnswer: -2157, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-24)\/(-20))\/(6\/15). Suppose 3*z = 6, d*z - 30 = 5*k - 119. Suppose -k = 3*s - 37. What is the smallest common multiple of 2 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 123776 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 18 = -5*d. Let v = 81 + d. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2238\/33 - (-4)\/22. Let p = 303 - 252. What is the highest common factor of z and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-nine halves of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76, 133, 204, 295, 412, 561?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*p**(-2)*p)\/p)\/p)**(1\/16))**(-36)\/(((p**(1\/2)*p)\/(p\/(p\/p**(2\/7))))\/((p**0*p)\/(p\/((p**(-6\/7)*p)\/p)))) assuming p is positive.\nAnswer: p**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 26\/60877, 10 in increasing order.\nAnswer: 26\/60877, 1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/(-12)*(-900 - -105). What is the highest common factor of j and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 130*a**3 + 8*a**2 - 5*a + 2. Let u be y(5). Suppose 4*h - 3*i - u = 0, 4*h = 2*i - 5447 + 21869. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3\/37  (b) -13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + -1*sqrt(5103) + sqrt(5103))\/(6*(sqrt(144) + sqrt(9))).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in twenty-nine fifths of a microsecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 13*v**6\/60 - 11*v**5\/30 + 22*v**2. Find the third derivative of n(j) wrt j.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**3\/3 - 15376*v**2\/3 - 41020*v - 61536 = 0. What is v?\nAnswer: -6, -2, 15384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.0081 - 0.1063. What is d rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-20)*c)\/(c\/(c*c**(-4\/23)\/c*c*c)))**(-1\/15) assuming c is positive.\nAnswer: c**(418\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-672)\/(-392))\/(3*34\/1785).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -16044*v + 286. Let b be n(9). What is b rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63024\/808 + (-734)\/10?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -x - 6*h, 12831*x - 4 = 12826*x + h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*l - 44*l + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -119*p**2*x + 13*p**2 - 192*p + 1522678*x with respect to p.\nAnswer: -238*p*x + 26*p - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 12a46 (base 14) to base 5\nAnswer: 2432201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(-4 - -2)*2. List the prime factors of (8\/5)\/h - (-4642)\/55.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -10) + 0\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7021 is divided by 334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.24497 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -19. Suppose w*j = j - 16. Sort 3, j, 5 in decreasing order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.21 - 0.2. Let h = -0.29 - u. Let f = 1\/99 - -131\/99. What is the nearest to 0.1 in f, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 4)*(-143)\/26. Suppose 4*k - 173 - 311 = 0. Calculate the greatest common divisor of k and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - d = -270. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59628 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3744391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 19235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3675 + 4098. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314076834.\nAnswer: 2, 3, 53, 401, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (10\/6)\/((-3)\/(-9)). What is the common denominator of -1 + -1 + ((-325)\/(-4))\/q and 49\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -1\/6, 1\/5, -2\/169, 3, 41\/56?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of 0 + 2*h + 1\/10*h**5 + 1\/6*h**3 - h**2 - 1\/4*h**4. Suppose 0 = -g + 2*g - 2. Determine x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 185, 749, 1689, 3005, 4697?\n\"Answer: 188*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i - 13. Let y be u(13). What is the smallest common multiple of 31 and -1 + y + 1 - (-5 + -5)?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**2 + v**2 - v**2 + 5*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.26 times 0.4?\nAnswer: 2.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5\/5)\/(-5))\/((-26)\/(-65))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dy when two letters picked without replacement from udyqu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 4*s - 10 = 0. Let w = 135 - 119. What is the least common multiple of w and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - j + 16. Let i be x(0). What is the units digit of (i\/(-24))\/(2\/(-69))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-8))\/((-2)\/(-76)). Suppose 2*r + 9 = f. Differentiate -25 + 17*q**4 + q**4 - r*q**4 with respect to q.\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*t + 3. Let q = t - -5. Do q and 3 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -8*x - 16 + 2*x + x**2 + x - 3*x. Let s be n(-2). Solve -u = s*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 182 = -4*p + 14*p, c = 4*c + 4*p - 77 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -289*y**2 - 18 + 28 - 1003*y**2 - 10 to the form u*y + h + p*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnb when three letters picked without replacement from bggrrrrbrbrbbnbrnb.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*l**2 - 39*l**2 + 29*l**2)*((1 + 2 - 4)*(-1 + 2 + 0) + 4 - 1 - 1 - 4 + 3 - 6).\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1599\/840 + 4\/10. Let q = f + -15\/8. Let p be (-10)\/6 - (1 + -2). Sort q, -0.5, p in ascending order.\nAnswer: p, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-147)\/(-28))\/(-7)*(28\/357)\/1.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -621541741*b**4 - 2*b**2 - 794174095*b wrt b.\nAnswer: -7458500892*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 4 + 6. Suppose -33*d + 30*d = 5*x + 17, d - 1 = -5*x. Sort d, -4, -1, r in descending order.\nAnswer: -1, r, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0016287 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*x + 1. Let n = x + 7. Put n, -4, 1 in descending order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 5816, 0.6, -0.3.\nAnswer: -0.3, 1\/3, 0.6, 5816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 344639 and 164.\nAnswer: 344803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -5*q + 220, 0*s + 85 = 2*s + 5*q. Calculate the highest common factor of 105 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186330, 186341, 186352, 186363?\nAnswer: 186374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - -18. Let n = -32 + h. Calculate the greatest common factor of n and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9 - 20) + 6 + -1 + 10. Let l(x) = -36*x + 146. Let w be l(k). Suppose 0 = -0*i + i. Solve i*j = j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + 34 + 75 + (5 - -1) - (-2 - 4).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and 9846?\nAnswer: 9845.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + g - 897, -5*w + 740 = -4*g - 397. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -10*p**2 + 161*p + 9. What is the hundreds digit of x(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99299988 divided by 6?\nAnswer: 16549998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 3*w - 63. Suppose -2*u + 104 = -w. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84 divided by -2612\nAnswer: -21\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 198 - 158. Let l(x) = 640*x**2 - 9*x - 9. Let c be l(-1). What is the greatest common divisor of c and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2239912265 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15994*c*o**3 - 4*c*o - 15*o**3 + 127116*o**2 wrt o?\nAnswer: -95964*c - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 550446 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -34 - 44. What is the remainder when 2405\/52 + 4\/(-16) is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3632135\/221 - (-6)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 144942506*z - 7999578 wrt z?\nAnswer: 144942506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 383082824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*z = 114 - 144 - 230. Let f(i) = 19*i**3 - 6*i**2. Let u(j) = 20*j**3 - 5*j**2. Determine z*f(c) + 6*u(c).\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3961\/42 + 94. Find the common denominator of o and -80\/3741.\nAnswer: 52374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1008 and 10584?\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.017 - -0.003. Let w = 151.08 + -152. Let d = w - f. Round d to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -108, 1\/5, -24, -0.9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h = 2*h + 126 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -189\/4. Let k be -3*(7\/3)\/(-7). Suppose 21*w - 15*w = -36. What is the closest to w in 0, k, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.5  (b) -0.47  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4301*n**2. Let m(s) = 20*s + 12*s + 15*s + 12*s - 57*s. Calculate m(r(o)).\nAnswer: 8602*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -6*a + 28. Let n(l) = -4*l + 19. Let k(w) = -4*n(w) + 3*r(w). Let o(g) = -g + 1. Let b be 2\/7 + (-308)\/49. Determine b*o(v) + k(v).\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*d + 8 - 91 = -811. Sort d, 0, 31 in ascending order.\nAnswer: d, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 15 + 0 = 0. Suppose 0*q + n*q = 2*o + 19, -37 = -5*q + 2*o. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -80 and -1.9.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 13976023003476+-0.4\nAnswer: 13976023003475.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2461249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -326 + v + 995 - 12*v**3 - 334 - 333. Determine b(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30453762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 219 and 56273583?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 202142240 + -100?\nAnswer: 202142140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33*o**6 - 10455446*o**4 + 68*o**2 + 6252322*o wrt o.\nAnswer: 3960*o**3 - 250930704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -280 by -140.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11*(-39)\/((-70785)\/30).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.449  (b) 0.12  (c) 0.225  (d) 1\/5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -7868*i**3 - 441*i**4 - 687300*i - 298780 - 545533*i**2 + 74104 - 22582*i**3 = 0.\nAnswer: -237\/7, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0 = -2*b - 6, -4*a = b + 8. Let r = a + -17. Let p = 32 + r. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35 + 65. Let c = -8 + f. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80844484, 0.4, 3\/8.\nAnswer: 3\/8, 0.4, 80844484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1059462 is divided by 1059457.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -6. Let p = s - 5. What are the prime factors of (-4)\/p*(-12 + 7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 155080 divided by 6.\nAnswer: 77540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-45)\/20)\/(6\/(-32)). Let q be 880*-9375*(-8)\/b. Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 3*r**2 - 14*r - 37. Calculate b(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 12 + 9 + 4*b**3 - 35.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28940 or 0?\nAnswer: -28940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(3\/(-16)*4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 109  (b) 9  (c) -0.2  (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*d - 1 + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 633 = -2*r + 587, -4*p - 2*r = 50 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 88\/(-42)*(-653)\/((-3009677)\/(-1257))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7 - -102*3\/(-45)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, q: 8}. Give prob of sequence qrqr.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 (base 11) in base 10?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/(n*n\/(n*n\/(n*n**(-3\/4))*n)*n)*(n*(n\/n**(-4))\/n*n)\/n)**26)**27 assuming n is positive.\nAnswer: n**(9477\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*n, -4*d - n = 4*n - 14. Calculate the lowest common multiple of 403 and d.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9212 + 110255\/12. Let u = p - -67\/3. Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = h + 13, 3865*h - 116 = -3861*h + 7730*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8393.78 rounded to the nearest 10?\nAnswer: -8390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 939754 divided by -14?\nAnswer: -469877\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 11)*10500\/(-2450) + (-1 - 9)*-1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 229*b**3 - 229*b**3 - 14*b**5 + 4*b**2 + 4*b**5 - 4*b**2 + (-43 + 43 + 15*b**2)*(0*b**3 - 3*b**3 + 0*b**3).\nAnswer: -55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -0.1, -216 in ascending order.\nAnswer: -216, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 23 = -92. Let x = 26 - b. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.8?  (a) -3\/4  (b) 2\/7  (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-9)\/(-15))\/((-6)\/(-30)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89134.65 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*2\/(-6) - -6. Suppose -42 = -3*p - 2*x + 54, -2*x = 6. What is the remainder when p is divided by (-4)\/10 + 47\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -68, -9 in ascending order.\nAnswer: -68, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 43740 and 1134?\nAnswer: 306180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 6*l**2 - 6*l - 34. Give q(-7).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 14 = 2*d, -i - 1 - 2 = -4*d. Suppose s - a - 13 = -4*a, a = -4. Suppose 5*b + 25 = 0, -z + 3*b + s = 4. Solve 3*w + z*v - 16 = v, 10 = d*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b - 1. Let o be f(3). Differentiate -v**o - 301*v + 50 - 9*v**2 + 292*v wrt v.\nAnswer: -20*v - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - 8*x**2 - 7*x - 14. Let u be w(9). Let l be -3*4\/24*-2. Suppose 3*q = 8 + l. Solve 2*v + u = -f, 2*v = q*f + f - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -80792980 or -80792982?\nAnswer: -80792980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -33*a - 7. Is t(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18254808 by 8668.\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 272462443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from qqqqqcqcqqcqqcqc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of l**5\/30 + l**4\/24 + l**3\/3 + l**2\/2 - 2*l + 36. Let c(m) be the second derivative of t(m). What is c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.047288 and 1354.\nAnswer: 64.027952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d. Let z(l) = -7*l - 4. Let n(m) = -6*w(m) - z(m). Let a be n(-4). Which is greater: a or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, g: 11}. What is prob of picking 1 r and 3 g?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -50231, 5, 3, -21, 6 in ascending order.\nAnswer: -50231, -21, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*r**3 + 0*r**3 - 3*r**3)*(-1354 + 2410 + 1802)*(0 + 2*r + 0)*(-2 - 5 + 2 + (1 - 1 - 2)*(1 + 0 + 0)) as q*r + p*r**3 + m*r**4 + c + t*r**2 and give m.\nAnswer: -80024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 6*k + 5. Let q be j(7). Let p = q - -4. Suppose -108 = -2*a - p*a. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126, 473, 1042, 1833, 2846, 4081?\nAnswer: 5538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -910b (base 12) in base 2?\nAnswer: -11110101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 15. Let h(s) be the third derivative of s**5\/60 + s**4\/4 + s**3\/6 - 2*s**2. Calculate the remainder when 23 is divided by h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-145)*(-28375)\/(-27240)*(-8)\/30.\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 550 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + -4 - (-1007)\/4. Let r = 249 - s. What is the common denominator of r and 83\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 5 = -3*r, 896*r + 28 = 4*k + 892*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*n - 14*n + 102*n**2 + 32*n - 9*n - 14*n to f + a*n + y*n**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -6*n**2 + 188*n + 768. What is l(35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2607*h**2 - 1938*h**2 + 1 - 1.\nAnswer: 669*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1483, 6256, 14253, 25408, 39655, 56928, 77161, 100288?\n\"Answer: -11*s**3 + 1678*s**2 - 184*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*r**2*v**3 + 188*r**2*v**2 - 15*r**2 + r*v**3 + r*v**2 - 2*r - 3445972*v**3 + 63*v**2 - 2 wrt v.\nAnswer: -48*r**2 + 6*r - 20675832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from snsssssssssssss. Give prob of sequence nss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 22680.423 take away -4?\nAnswer: 22684.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 3*o**2 + o - 1. Let b(k) = 2*k**3 + 7*k**2 + 3*k - 2. Suppose 29 = -3*x + 2*c + 2, -3*c = -5*x - 45. Let g = x + 12. Give g*b(m) - 7*h(m).\nAnswer: -m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 6 = 516*o - 519*o, 27 = -3*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y**2 - 93 + 5*y + 93 - 4*y**2 + 0*y**3 + y**3 - y**4 as p*y + x*y**3 + j + k*y**2 + o*y**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4370 is divided by 2155.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 17855 + 5465. Let r = o + -87497\/15. Find the common denominator of r and -11\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/(-6)*9\/(-5). Suppose 2*a = 2*i - 14 - z, 5*a + 58 = i. Let r be (2\/33)\/(8\/a). Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27 + 25 - 299*h + 27*h - 62 + 28.\nAnswer: -272*h + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 185\/(-10) + (-3)\/2. Let r be 3 + 145\/z - -5. Let n = 0.2 - -1.8. What is the nearest to 1 in n, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (70\/(-245) - (-47)\/(-7)) + 7. Put 2, -5\/18, m, 3 in descending order.\nAnswer: 3, 2, m, -5\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/(sqrt(18)\/(sqrt(9)*1)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261857?\nAnswer: 31, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27300\/(-858) + 2*16.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of -7*r**5\/60 - 16*r**2 + 3*r - 8. Let a(g) be the first derivative of x(g). Let v(d) = 4*d**2. Calculate a(v(m)).\nAnswer: -112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 3*h + 21, 2*h + 11*s = 8*s + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*a - 963 = 0, 3*p - 183 = 2*p + 2*a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 427 - 27. Let d = f + -400.00057. Round d to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/2*16\/6. Let u(p) = p**3 + 2*p + 1. Let k be u(-2). Let w = -6 - k. Solve o = -w*t - 17, -o + g*t + 25 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25149 and 680.\nAnswer: 17101320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 5*x - 30, 5*m + x - 10 - 42 = 0. Let h(n) = n**2 - n. Let z be h(-2). Solve 4 = v - 3*u - z, m = 4*v - 2*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 44\/(0 + -4)*-1. Suppose 7*i + 44 = q*i. Suppose i = 2*z - 5*y, -4*y + 18 = 2*z - 2*y. Which is smaller: z or 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**3 + 114*b**4 - 17 + 8 - 630*b**4 - 5 + 13 in the form c + p*b**2 + i*b**4 + g*b**3 + z*b and give i.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168)*-3)\/sqrt(12))\/sqrt(7)*-4 + -2 + -1.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 15*q - 123 = 0. Suppose 4*p + 57 = -5*v, -4*p + 2*p - q = 5*v. Does 14 divide 44\/3 + p\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*h + 2*j + 83, -2*h - 24452*j + 24456*j + 37 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -19453*n + 5 - 4 + 19454*n. Let x(c) = -3*c - 2. Let t = -1 + 2. What is t*x(s) + 4*m(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 - 46788*a - 182426412.\nAnswer: -3*(a + 7798)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 220855 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1652a + 962?\nAnswer: -159a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(432) + 1) + (0 + sqrt(363))*3)**2.\nAnswer: 270*sqrt(3) + 2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/(-9) - (-60700)\/75 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -47033*u**2 - 31*u + 27326963 wrt u?\nAnswer: -94066*u - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*s = 99*s - 3979208. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.0025  (b) 48  (c) 3  (d) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 3. Let k be (-6)\/27 - 40\/(-18). Suppose 0 = 3*c - 2*c + u, 0 = p*c - k*u - 21. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (4544\/6)\/(6\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*o - 16 = 19*o - 4*c, -3*c = 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -x + q, -5*q = -x + 6. What is the remainder when 34 is divided by 2\/x + (-160)\/(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 76 = -154. Let z be (12\/(-2) - -3) + i\/14. Which is the fourth smallest value?  (a) 2  (b) z  (c) -3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 214536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -764\/517 + -16\/47. Let g(v) = 8*v - 42. Let r be g(6). Suppose -r*x - 9 - 3 = 0. Is t at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -845, -1681, -2505, -3311, -4093, -4845?\nAnswer: -5561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -2*p**2\/11 + 3120424*p - 13388438167192 = 0.\nAnswer: 8581166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(625) + sqrt(25) - sqrt(200)\/(sqrt(16)\/sqrt(2)))\/((sqrt(180) + sqrt(180) + 2*(sqrt(180) + sqrt(180) + sqrt(180)*-1 + sqrt(180)))*4).\nAnswer: 5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58933?\nAnswer: 7, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 0. Let n = 33 + -61. Let m = n + 46. Solve -a + 6 = -5*y, -3*y = -b*y + 4*a + m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27904632.\nAnswer: 2, 3, 7, 166099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7*1 + (-15)\/5. Let c be 27\/15 + (-2)\/o. Suppose -c*j = 2 - 26. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w + 2*o + 2, -1 - 4 = -5*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 22 = -2*m - 0*v, 2*m + v - 2 = 0. Solve m*l = -z - 1, 21 - 3 = 4*z + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p = 20*o - 16*o - 54, 52 = 4*o - 4*p. What is the remainder when 297 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(945\/72))\/((-276)\/(-690)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3402 and 20034.\nAnswer: 180306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/318415?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -89*x - 533. Let r be y(-6). Which is greater: -3\/193 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*i - 83*i = -344799. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/95 - 38\/(-95)) + (-172)\/190?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 156*o**2 + 262*o?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 110322 (base 7) in base 15?\nAnswer: 5b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 53 + -1 - (1 - 1). Suppose -b + 3*b - s = 0. Let f = b + -4. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**3 + 4927*p + 184*p**2 - 184*p**2 - 2*p**3 - 4927*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 214784667 and -1.\nAnswer: -214784667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 2*s - 2*s)*(-9*s**2 - 428*s + 429*s - 5 - 28) + (-2*s**3 + 0*s**3 + 4*s**3)*(12 - 5 + 3).\nAnswer: 2*s**3 + 2*s**2 - 66*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -1, -3, -5, 4 in descending order.\nAnswer: 21, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-1947)\/4)\/(-3) - 8\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 0*g - 3*g = -19, -4*f - 4*g = -4. Let v = 3 + f. Is v < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4809 by 1.\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 56\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 14. Solve 4*n - 15 = -i*g + g, 5*g = 4*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3514*i - 2295*i - 2010*i.\nAnswer: -791*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1298 - 7553 = 34*t - 201*t for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 23 = 5*y, 5*y + 3*g - 22 - 5 = 0. Let j(o) be the third derivative of -4*o**2 + 0*o + 0 - 1\/2*o**y - 1\/24*o**4. What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -2*h - 2, -3*h + n + 4 = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.07 + -0.1. Let t = b + 2.03. Let m = -2.0316 + 0.0316. What is the second smallest value in 2\/9, m, t, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(128) + sqrt(72)\/(2*sqrt(9)))\/(-2*sqrt(16) - (-1*sqrt(16))\/sqrt(4)).\nAnswer: 31*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 9. Let n = -7 - o. Let t = n + 17. What is the third smallest value in -0.2, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 647 - 654. List the prime factors of 1024\/1 + 6*h\/14.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + 0 + 4 + -2. Suppose 5*o - 85 = 2*h, -4*h = -o - 0*h + 35. Suppose -g*v - 4*t + 56 = 11, -v + o = 2*t. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q**2 - 9*q + 4. Give g(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from {q: 6, w: 4, z: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 34. Suppose 7 - t = -4*f. 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 1367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + n)*(1 - 8 + 0) + n + 5 - 5.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**8\/112 + 9*m**7\/35 - 4*m**6\/5 - 14*m**2. Determine q so that s(q) = 0.\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34256?\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -725 = 24*z - 95 + 810 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/2 + (-1)\/(-2). Let a be 22\/341 - 3324\/(-372). List the prime factors of (j + (3 - a))\/(6\/(-458)).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 834 times 8986\nAnswer: 7494324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/9))**26*h**(-5)\/(h\/(h*h**(1\/4)*h)) assuming h is positive.\nAnswer: h**(73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34432*o**2 + 24864*o**2 - 25614*o**2 + 27001*o**2.\nAnswer: 60683*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 2*s + s = -47, 20 = 5*k + 40*s + 5 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = -13*g - 5*f + 3999, 0 = g + f - 1000. What is the least common multiple of 11 and g?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 297\/(-45) - (115\/(-25) - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2007902 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5793186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29\/(-5) - (-36 + 8188\/(-460)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103245647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*p - p + 44*p + 3*p to n*p + g and give n.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 744482340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1201010 (base 3) in base 14?\nAnswer: -64d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -2, -13, 1765 in decreasing order.\nAnswer: 1765, 5, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*q**4 + 25*q**2 - 25*q**2 + (-6*q**3 + q**3 - 3*q**3)*(-3 - q + 3) to the form h*q + s*q**3 + a + w*q**4 + c*q**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -2*d - 6. Suppose -2*f + 196 = d*f + 5*i, 3*f - 174 = 3*i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 10*l + 6. Is m(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-66)\/(-1320))\/((-62)\/(-488)) and -1\/40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 64\/36 + (-4)\/(-18). Suppose 0 = -2*h + n*l - 6, -2*l + 8 = -4*h - 0*l. Let b = h - -4. Sort 6, -1, b in decreasing order.\nAnswer: 6, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -78, 2\/3, 0.2, -5\/2, 4, 439.\nAnswer: -78, -5\/2, 0.2, 2\/3, 4, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -44131\/23 <= -1919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -163986795 divided by 35?\nAnswer: -4685337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 49555951 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/14*(18\/4 + 13). Solve 3*q = -2*y - 10, 5*q + 8*y + 15 = v*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 20*w**2 - 23*w - 19. Give x(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 130 - 66. Let u = 35 + -24. What is the remainder when y is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3*w - 10. Let z(i) = 1. Let q(d) = t(d) + 6*z(d). Let j(m) = 7*m + 9. Let r be (-2)\/7 - 33\/7. What is r*q(h) - 2*j(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126 divided by 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2468 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 AM and 2:06 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 2\/(-4))*266\/4788.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.3622 + -0.3622. What is the closest to 1 in -33, 0.5, 4, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of -d**9\/60480 - d**8\/3360 + d**6\/180 + d**5\/15 - 19*d**2. Let t(u) be the third derivative of s(u). What is t(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 46 + -46. What is the third biggest value in -1\/4, a, 25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by -660\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*i + 1. What is the closest to i in -4\/3, 1\/5, 1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13662.0000025824 + -13662. What is f rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5993340 is divided by 2580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 + 86*i + 699. Let k be r(-9). Let o = 0.3 - -4.7. Which is the closest to -0.1?  (a) o  (b) -1\/6  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -99, -194, -325, -492, -695, -934?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-10)\/(-30))\/((-1)\/(-6)). Let p(h) = h**3 - h**2 + h - 2. Give p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44*(-30)\/(-48)*34\/85\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28906*m**3*t**2 + 4*m**3*t - 38*m**3 - 3*m**2*t - 6*m**2 + 5*t**3 + t**2 + 2*t wrt t?\nAnswer: 57812*m**3 + 30*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 677298.1ng to micrograms.\nAnswer: 677.2981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 24 = 3*d + d, -4*f - 3 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -7*k**2 + 8*k - 25. Let b be m(7). Let q = -227 - b. What is the highest common divisor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-36.4\nAnswer: -14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 378.6 and -6.3239325.\nAnswer: 372.2760675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 3*v + 2. Let q be b(3). Find the second derivative of -2*r + 5*r + q*r**3 - r**3 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3. Let p(o) = -o. Give -2*p(w) + t(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.16?  (a) -0.23  (b) -3  (c) -142  (d) -5  (e) 2\/3  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43668 is divided by 1163?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1295159897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -1. Let a(w) = 10 - 24*w**2 - 17*w**2 + 31*w**2. Let b(r) = a(r) + 10*c(r). Let v(o) = 2*o**2. What is v(b(t))?\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 84. Let f = l + -227\/3. Let r = -183 + 182.5. Which is the nearest to -2\/23?  (a) 3  (b) r  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4129730348 and 488.71.\nAnswer: 4129730836.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 27*f**2 + 11*f**2 + 13694971*f**4 - 13694984*f**4 in the form j*f + p + v*f**2 + h*f**3 + d*f**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 3. Let z be 7 + 3 - 3*1. Solve -z*h = -u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 3 + -3 - 20 - (4 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 20696, 20710, 20726, 20738, 20740, 20726, 20690, 20626?\n\"Answer: -o**3 + 7*o**2 + 20690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10742 and 12546?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 - 5*d + 16. Let w(p) = p**2 - 3*p + 8. Let m(i) = -5*w(i) + 3*x(i). Determine s so that m(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -5*f**7\/14 + 7*f**4\/6 + 3*f + 9. Let z(w) be the first derivative of c(w). Find the third derivative of z(o) wrt o.\nAnswer: -900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 133322233?\nAnswer: 133322301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 204 - 146. Let g = 60 - r. Sort g, -2\/7, 2\/25, -0.5 in decreasing order.\nAnswer: g, 2\/25, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5477617\/63 - 86961. Let s = -140\/9 - f. Put -5, -0.07, s in increasing order.\nAnswer: -5, s, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-60)\/(-9) + 5)*(-60)\/(-14). Which is smaller: k or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 52 = 48. Which is the closest to u?  (a) -1\/10  (b) -2\/5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-18)*3)\/((-5208)\/(-87048)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 197\/2280 and 163\/9914010?\nAnswer: 39656040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-10)*1*(7 + 1242\/(-161))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -735900 to the nearest ten thousand.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 255\/(-40) + (-24)\/(-64). Let n be (-3 - (0 + r)) + 1. Suppose 0 + 1\/2*x**3 + 0*x**2 + 1\/4*x**5 + 3\/4*x**n + 0*x = 0. Calculate x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/20*-1)\/(56\/(-630)*3)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 357 + -83. Suppose 0 = 270*w - h*w + 232. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 1 = -3. Let s(d) = 0 - 2 + p - 7*d - d. Let c be s(-1). Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 123410497 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*d + 57*d - 8717388 = 31*d. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 755, 1951, 3595, 5699, 8275, 11335, 14891?\nAnswer: 18955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**11\/x)\/((x*x\/(x\/(x*x*x**(2\/9)*x)))\/x*x)*x**(-2\/15)\/(x\/(x\/((x\/x**(2\/19))\/x))*x))**20 assuming x is positive.\nAnswer: x**(16244\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -101*w**2 + 23*w + 13. Let g(y) = -50*y**2 + 11*y + 6. Calculate 6*d(o) - 13*g(o).\nAnswer: 44*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmwjzww. Give prob of picking 1 j and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -370077, -370083, -370089?\nAnswer: -370095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2574, 82, 2\/5 in descending order.\nAnswer: 82, 2\/5, -2574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 74*r + 8. Let l be u(4). Let t = -38 + l. What are the prime factors of t?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 306 and 18105.\nAnswer: 108630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8775 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*f + 8 = 36*f. Let v(y) be the third derivative of -y**4\/12 + 5*y**3\/6 + 3*y**2 + 7. What is v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20507*i**3 + 769*i**2 - 4*i?\nAnswer: -123042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 80 = -0*u. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/40130 and -3\/4?\nAnswer: 80260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -7*q + 3. Let f(d) = 11*d + 35. Let v(p) = 13*p + 42. Let y(l) = 6*f(l) - 5*v(l). What is -n(k) - 3*y(k)?\nAnswer: 4*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 16) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -23*w**2\/2 + 195*w + 67. What is the first derivative of n(h) wrt h?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(2448) + ((sqrt(2448) + sqrt(2448) + 0 + sqrt(2448))**2 - sqrt(2448))) + 3.\nAnswer: 88131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*l - 33*l + 56 = 0. Let x = -23 + l. Solve -x*h + 2*h + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 360*k**5 - 118*k**2 wrt k?\nAnswer: 21600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -31\/6*t**3 + 2*t + 0*t**2 + 0. Let k(n) = -n. Determine k(j(h)).\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 7:09 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1430\/20 + 1\/(1\/2). Which is smaller: 75 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**3*y**2 + i**3*y + 2*i**3 + 2617*i**2*y**2 - 10*i**2*y + 3*y**2 - 570*y - 1 wrt y.\nAnswer: 4*i**3 + 5234*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cujuaaccaqcqhhacc. Give prob of sequence jq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -24*x**2 + 473*x + 47. Let j be z(17). Calculate the greatest common factor of j and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -2720  (b) -3  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2 = 4*u, 0 = 2*u + 5*n - 2 - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 190*z + 17. Let h(f) = 4*f**2. Determine h(s(g)).\nAnswer: 144400*g**2 + 25840*g + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*w + 7*w + 19*w + w in the form k + n*w and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 559*a - 7472. Give v(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 26 - 26)*(6*q**4 + 2*q**4 - 3*q**4) + 91*q**5 - 1309*q**4 + 1309*q**4 - q.\nAnswer: 81*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.027 - 0.027. Let z = 279 + -279.3. What is the nearest to t in z, -3\/5, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240350.\nAnswer: 2, 5, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-317)\/(-4) - (-3 + 13\/4). Suppose 0 = 8*d + 7 - p. Solve -3*y + d + 6 = -5*m, -12 = 4*m - 2*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -210 or -209?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 88*n - 2658*n**2 + 2750*n**2 - 88*n. Let j(y) = 21*y. Give j(p(x)).\nAnswer: 1932*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 18 - 38 + 8)*(-3*c**2 - 3 + 257*c - 261*c + 2*c**2).\nAnswer: 48*c**2 + 192*c + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4*y**3 + 3*y. Let t be (-2)\/(-17) + (-392)\/(-136) + -9. Let p(i) = 5*i**3 - 2*i. Give t*p(v) - 4*l(v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*x + 12. Suppose -4*s = 3*r - 11 - 20, -3*s + x*r + 36 = 0. Suppose 2*a - s = -k, -k + 2*a - 10 = 3*k. Solve 5*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 78337, 3, -4, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(9\/(-12)) - -3. Does 6 divide t*3\/2*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 12*m**3 - m**2. Let d be p(1). What is the second derivative of -3*j**4 + 11*j**2 + 4*j - d*j**2 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83849580 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 24 = 4*j, a + 13*j + 11 = 8*j. Solve i = 4*h - 5*h + 4, 0 = a*h - i + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 653*y - 650*y - 7 = -2*n, 3*n - 7 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.39 + 0.09. Let b = c - -2.3. Suppose -2*u + 2 = -8. What is the nearest to b in u, -2\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -170243*v**3 + 85122*v**3 + 85116*v**3 - 1039*v**6 - 9082*v**2 wrt v?\nAnswer: -124680*v**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2030*n - 14215. What is k(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4353105 and 256065.\nAnswer: 4353105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 74178739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66268356 divided by 3.\nAnswer: 22089452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -70\/3, 0.07, -2\/5, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/21?  (a) 0  (b) -0.3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7067 - -10231. Let m = -3517 - -1523. Let s = y + m. What is s rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 6 + -5 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 550.3 + 54.7. Let v = -679.3 + i. Let h = v + 63. What is h rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.1589646+-736.5\nAnswer: -737.6589646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**2\/11 - 41744*o\/11 - 926250 = 0. Calculate o.\nAnswer: -20625, -247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/6)\/((-4)\/18). Suppose -w*h - 72 = 126. Is 14 a factor of (-1)\/(-3 + 6)*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20884, 41775, 62666?\n\"Answer: 20891*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12793 and 44.\nAnswer: 51172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-120)\/(-10)*(-1)\/(-2) + (24 - 19). Solve -4*y - d = -15*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 3. Suppose 21 = 3*b + b + j, 4*b + r*j = 36. Solve b*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 8*y + 42 = -y - 6*o, -y - 5*o - 11 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1331, -2684, -4041, -5402, -6767, -8136, -9509?\nAnswer: -10886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20*j**2 + 2*j - 1140 wrt j?\nAnswer: 40*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -525009 bigger than -525008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**4\/4 - 64*v**3 + 2231*v**2\/4 - 494*v = 0.\nAnswer: 0, 1, 8, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**2 + 2*p**2 + p**5 + (17*p**3 + 13*p**3 - 28*p**3 - 6*p)*(p**2 + 2 - 2).\nAnswer: 3*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6290*v**3 + 102086 wrt v?\nAnswer: -18870*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 21 - 15 = 0. Let p be 3 - h\/((-2)\/(-5)). Let t = 8 + 12. What is the greatest common divisor of p and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 555*h**3 - 3*h**2 - 9*h + 3. Let s(j) = -1666*j**3 + 8*j**2 + 24*j - 8. What is -8*o(w) - 3*s(w)?\nAnswer: 558*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4882 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55228065 is divided by 726685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2 = 3*r - 3*a, -6 = -3*a. Suppose -r*c + 272 = 4*m, 2*c - c - 4*m = 68. Let h = c + -39. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5094*d**5 + 2*d**4 - 2*d + 1655 wrt d?\nAnswer: -101880*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 4*g + 2*g)*(-2 - 2*g + 2) + 257*g**2 - 41*g**2 - 21*g**2 + 2*g**2 + 3 - 3 + (-g + 3*g - 4*g)*(-g - 1 + 1) + g**2 + 0 + 0 - 2*g**2 - g**2 + g**2.\nAnswer: 202*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 48861, -3, -6 in descending order.\nAnswer: 48861, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 567 and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 2*u - 5*u)*(-u**4 - 3*u**4 + 2*u**4) - 1872*u**2 + 1872*u**2 + 232*u**5.\nAnswer: 236*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -782680 rounded to the nearest 10000?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 617000 to the nearest ten thousand.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39395 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -993, -1002, -1023, -1062, -1125, -1218, -1347, -1518?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 + 4*y + 2. Suppose 0*d = d + 5*l - 23, 0 = -2*d - 3*l + 11. Let w be i(d). What is the units digit of 1 + (-2 + w - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13.9 - -14. Let v be (-22 + 24)\/(2 + -3*(-12)\/(-27)). Put j, 5, v, -2 in decreasing order.\nAnswer: 5, v, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 4*x + 1\/12*x**4 + 1\/2*x**2 - x**3 + 0. Give i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 0) + (-12 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fififffi. Give prob of sequence ffff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 s, and 2 n when four letters picked without replacement from ooososssonnos.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3095383016?\nAnswer: 2, 11, 35174807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v + 2*q + 2, 17 = -v - 2*q + 7*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1949108 divided by -2?\nAnswer: -974554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l + 103*l**3 - 4*l - 53*l**3 + 2 + l**4 - 52*l**3 - 3*l**2 to u*l + v + y*l**2 + n*l**3 + k*l**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - n**2 + n + 53. Let v be (-4 + -2)*1\/2. Let q = 3 + v. What are the prime factors of u(q)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1097944 is divided by 769?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 5\/24  (c) 0  (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4766, 4764, 4762, 4760, 4758, 4756?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*i + 1377 = 1. Solve i - 41 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 5*a - 41, -l + 5*l - 77 = 5*a. Let i = 144 - 86. Let r = i - 9. Calculate the remainder when r is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 64551 - -12351?\nAnswer: 110232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47106775.\nAnswer: 5, 233, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 24811547.53 to the nearest one thousand.\nAnswer: 24812000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4571 times -0.01?\nAnswer: 45.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28 - -26. Let n be (13\/39)\/(c\/(-42)). Suppose -3*a - 3*t = -n*t - 316, t = 3*a - 313. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 12:17 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -7*x + 15. Suppose x*n + 3 = 4*n. What is the third derivative of -2*v**2 - v**n + 0*v**3 + 0*v**2 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (457 - 274 + 1716 - 357 - 5 + 5 - 2 + (0 + 2 - 4)*(3 - 2 + 1))*(-n - 2*n + 8*n).\nAnswer: 7680*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -177072398, -354144799, -531217200, -708289601, -885362002?\nAnswer: -1062434403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t\/t**(2\/5)))*t\/(t\/(t*t**(-4\/5)*t)))\/(t**(-6)*t**(2\/7))*((t**0\/t*t)\/t*t*t**(-2)*t)\/(t**(-1)*t**2) assuming t is positive.\nAnswer: t**(193\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 - (-558)\/(-4))\/((-8)\/16)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**5 + 528*m**4 - 17424*m**3.\nAnswer: -4*m**3*(m - 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1057.9 + -1058. Let g = 1 + 6. What is the closest to g in y, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 1247 = 406. Let p = -320 - l. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 117 + 107 = 2*h, 5*h = -2*y - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/((g\/(g**(-3)\/g))\/g*g)*g**(2\/15))\/(g**1)**(2\/5) assuming g is positive.\nAnswer: g**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 136 + -19. Suppose 4*l - 12 + 164 = 0. Let x = a + l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*z - 3*y, 3*y - 5*y + 20 = -5*z. Suppose -4*g + 5*g - 16 = 0. Let d = g + z. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*s**2 - 30*s**2 - 50*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/2  (b) -4  (c) -0.3  (d) -4\/7  (e) -286  (f) 3\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {i: 4, v: 4, l: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -84, -253, -514, -861, -1288, -1789, -2358?\n\"Answer: s**3 - 52*s**2 - 20*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*z + z - 2*z)*(17*z - 17*z + z**2) - 1024*z**2 + 44*z**3 + 1024*z**2 in the form j*z**3 + i*z**2 + y + b*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 5*s = -1, 2*s = -2*v + s + 7. Let r(g) = -g. Let c(a) = -a**2 + 9*a - 7. Let l(w) = -c(w) - 2*r(w). Let h be l(v). Which is bigger: h or 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 987546 is divided by 248.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - o + 65 = -0*o, p - 3*o = -35. Let t be (6\/3 + p)*2\/3. Is t\/8 + 113\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.54442 take away -0.03066190737?\nAnswer: -1.51375809263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 + -137\/6. Let s = -6.26 - -11.26. What is the closest to -2\/3 in -1.6, g, 4, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 18*m + 23. What is the smallest common multiple of i(-9) and 18?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -124 (base 8) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 8 = 4*s, -3*s - u = s - 8. Suppose 39 - 41 = s*l. Let n = l + 2. Let k(j) = -11*j**3 - 2*j**2 + 1. What is k(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4*u + 409 - 29 = 0, -5*u = -2*l + 377. Calculate the remainder when l is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.16 and -77398.6558.\nAnswer: -77398.8158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 52380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -552.2 + 511. Let o = n - -45.2. Put o, -3, 1, 1\/5 in descending order.\nAnswer: o, 1, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 4*f - 17, -w = -5*w + 3*w + 8*w + f + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1750 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -170466879 divided by -12749.\nAnswer: 13371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1532308601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from iswwrkir?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7472043 and 1557.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + 1*566*158. Is k\/270 - 1\/9*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 3*h + 4*n, -17 + 24 = 2*h - 3*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-6)*4260\/80. Let p = 37 - k. Solve -1\/2*y + 1\/2*y**3 + 3\/2 - p*y**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m - 1. Let b(u) = 4*u + 0*u + 4*u - u - 2*u. Let k(w) = b(w) + 4*g(w). Give k(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**2*i**2*u + 8*g**2*i**2 + g**2*u + 3*g*i**2 + 2*g*i*u + i**2 - 2*i wrt g.\nAnswer: 8*i**2*u + 16*i**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 24*h. Let w(n) = n. What is 4*u(i) + 88*w(i)?\nAnswer: 184*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 11, 1, -27, -79?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 + 7*d**2 - 13*d - 10. What is c(5)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14916 + -8140. Does 56 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 287183 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1955 and 79390.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5 = 1. Suppose k + o - 5 = 0. Suppose -k*d + 3*v - 2*v + 21 = 0, -3*d = -5*v - 33. What is the smallest common multiple of 2 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o + 9. Let d be l(9). Suppose d = -4*x, 6 + 14 = 4*v + x. Let q(a) = 7*a - 2*a**2 - v*a + 3 + 3*a + a**2. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from deeddey?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 5:59 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 533 + -513. Solve 4*a = d - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mxmx when four letters picked without replacement from mmjqxmjqmmmmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -5*f - 7. Let l be c(-4). Let z(k) = k**2 - 5*k - 17. What is the units digit of z(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 63213*c**6 + 9097*c**2.\nAnswer: 7585560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -4. Suppose c*l + 3*l = 10. Suppose 2*r - 18 = -l*b, -4*b = b + 3*r - 51. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -8*q + 9. Let u be x(2). Let z be 14 - (-4 - u - 4). Calculate the highest common factor of z and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 9*r - 15. Let h be g(11). Suppose 3*b - 2*w + w - 5 = 0, -3*b + h = w. Let a = -4 - -11. What is the remainder when a is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 10) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**4\/11 - 598*q**3\/11 + 600*q**2\/11.\nAnswer: -2*q**2*(q - 1)*(q + 300)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/21)\/(30\/(-13860)*33).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3 - -0.5. Let j = 0.15 - -7.85. Let h = -10 + j. What is the closest to f in h, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 5*r**2 + 5*r + 3. Calculate f(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 + 72*m + 813. Calculate y(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 0)*(1 - 14\/(-4)). Suppose 2*r - 6*r = -5*q - 23, r + 2*q - n = 0. Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5357 + 763 = 40*m. Suppose -243 = -3*y - 3*o, -3*o + 4*o + m = 2*y. Solve -y*h = -79*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6162 = -7*u + 20*u. Suppose -2*c + 2333 = -5*m, c - 3*m - 692 = u. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*q - 16*p = 56*q + 196, -5*p = 4*q + 81 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**26\/i**(-2\/47) assuming i is positive.\nAnswer: i**(1224\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1573820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 109, -1.\nAnswer: -4, -1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 69502357700\nAnswer: -69502357689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2 - 40397290*d - 161589144.\nAnswer: -(d + 4)*(d + 40397286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (34 - 38) + (-3)\/(21\/(-32)). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i + 0 + 0. Let h(y) = -20*y - 30. Let u(k) = -19*k - 35. Let w(c) = -7*h(c) + 6*u(c). What is w(g(q))?\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -177 by 3.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -7882390 times -2?\nAnswer: 15764780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 757 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 9:47 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4535 minus -95?\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*x**2 - 184*x**2 - 1087 + 1074 + 64*x**2 + 57*x**2.\nAnswer: -8*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6698052 and 103365.\nAnswer: 33490260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1422 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 39*j**2 + j - 2. Let u be h(1). Calculate the highest common divisor of 76 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15093350 to the power of 1\/2, to the nearest integer?\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 13*q**2 + 2. Let h be u(13). Suppose 2*s + 3*s + k = 31, -h*s + k = -11. Let d be s\/15*(-10)\/(-7). Is d greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -49*c - 138. Give n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 13*u - 260. Let n be (-5 + 2)\/(54\/u + -2). Calculate the remainder when 26*-1*(n\/(-2))\/(-13) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 658 divided by 2.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n - 13. Let m be c(-9). Let t(r) = -2 - 4*r + m*r - 1. Suppose l = -0*l + 3. What is t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 880*v - 147408 = -3104*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 276 - 184. Let t be (1 + -2)\/(1\/(-2)). Suppose -t*m = -40 - 6. What is the greatest common divisor of q and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 0, -4*q + 3*q = r - 6. Let z be (8\/(-10))\/(r\/(-165)). Calculate the greatest common divisor of 176 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.21 + 2.21. Sort p, 2\/11, 0.7 in descending order.\nAnswer: 0.7, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*(1 + ((sqrt(208)*2 - sqrt(208)) + 2 - sqrt(208)))**2 + -4)*6.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7393909 is divided by 616158.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1120)\/(-448)*65448\/10?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16.3569 + 119.3839. Let j = -0.027 + x. Let w = j + -112.8. Round w to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 715361512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0, -26, 103, 110, 1 in decreasing order.\nAnswer: 110, 103, 16, 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8.6 in -1\/2, -547, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11555935, 0.5, 5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58.1*2.8839.\nAnswer: 167.55459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 6. Let y(p) = -w*p - p - 3*p + 5*p. Let i(l) = -3*l**2. Determine i(y(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7038594024.\nAnswer: 2, 3, 7, 11, 544109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 7*o - 4. Let q be y(5). Let p = q + -1. Suppose -a - 48 = -p*n - 5*a, 0 = 3*n + 5*a - 34. What is the greatest common factor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 49*p - 45*p - 52. What is the remainder when 50 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3\/2 - -1. Let m = -530671\/35 - -15158. Let n = 31\/7 + m. Which is the second biggest value?  (a) 0.5  (b) n  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 10*k + 1729. Is 9 a factor of -2 + -1 + (5 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 575 = 2*h - 2*n + 264 + 287, 3*h + 4*n = -20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o**4 - 423*o**3 + 898*o.\nAnswer: -24*o**2 - 2538*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -6*b**2 + 463*b - 4 - 927*b + 468*b. Let h(m) = m**2 - m + 1. Let c(w) = 4*h(w) + o(w). Let n(u) = 6*u - 12. What is n(c(g))?\nAnswer: -12*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = -0*s + s + 2*l, 2*s - 3*l = -209. Let u = s + 67. Let g = 76 + u. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -144 - 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 477172919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 5*h**2 + 9*h - 18. Let t be q(4). Let g be 813\/(-12) - t\/8. Let r = g - -125. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -15) + -29 + -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 16 - 8. Let q = 4 + -3. Which is the second biggest value?  (a) 3  (b) o  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/5))**26\/(a**(5\/3)\/a)**(-14\/3))**(1\/48) assuming a is positive.\nAnswer: a**(187\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -272*c + 262*c - 40 = 0. Let n be (8\/(-70))\/(c\/56). Factor n + 58\/5*l**2 - 48\/5*l - 18\/5*l**3.\nAnswer: -2*(l - 2)*(l - 1)*(9*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263189*n + 264386*n - 83790 = 0 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.3 and -0.2.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 823966 divided by -6.\nAnswer: -411983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 3  (c) -34  (d) 176\/7  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 0\/(-1 + 3). Suppose b*s - 96 = -2*s. Let m = s - 9. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-282*a - 371*a - 455*a)*(3 + 1 - 3)*(0 + 3 + 1).\nAnswer: -4432*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 9:04 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 6 = 53. Let x be l + 2 + 4 - -3. Let h = -46 - x. Solve m + 7 = 5*d - 6, -23 = -5*d - h*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, 214 in ascending order.\nAnswer: 0, 3, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1380 - 2566 = -474*m + 5060 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(-2\/53))**42*(h*h*h*h**17*h)**(-1\/4))**27 assuming h is positive.\nAnswer: h**(441693\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84, -346, -994, -2220, -4216?\nAnswer: -7174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.421066mg in micrograms?\nAnswer: 6421.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 r when four letters picked without replacement from {p: 3, r: 6, l: 6, g: 2, v: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 + 7*x + 1. Let z be o(-7). Let t be (0\/((-2)\/1))\/z. Suppose -m - 2 = -4. Is m smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 31*u**2 - 26*u + 54. Give v(-30).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -42, -142, 5.\nAnswer: -142, -42, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*2\/(-4) - -9095560. Let p be -5095563 + (-8 - -4) + 6. Let t = c + p. What is t rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1*(-1 + 2*sqrt(125))*6 + -4)*4.\nAnswer: -240*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2213424 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/14)\/(n\/(n*n**(1\/10))*n)*(n**(2\/3))**(6\/7) assuming n is positive.\nAnswer: n**(-9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 32 = 156. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1 + 6 + 3*w**2 + 3 wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -f**5\/60 + 19*f**4\/24 + 127*f**3\/6 - 1833*f**2. Determine q(25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -637, -260, 375, 1274, 2443?\nAnswer: 3888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*t - c - 25, 3*t - 38 = -4*c. Let a = 450 - 447. What is the third smallest value in -1, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175979586.\nAnswer: 2, 3, 1039, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 71432 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15657, 16686, 17729, 18792, 19881?\nAnswer: 21002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c**2 - 3*c + 1. Suppose -2*p + 13 = -3*h, -4*h + 3 - 15 = 0. Let f be m(p). Calculate the highest common divisor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/3)\/(54\/(-6966)). Solve -2*i = 37 - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 - -41 - (2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 d, and 2 e when four letters picked without replacement from edegegegeetl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g. Let v(r) = -70*r**2 + 66*r**2 + 25 + 42*r**2. What is v(t(l))?\nAnswer: 38*l**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75654 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -9, -5*p + 5*g = -30 + 15. Suppose 34*r - 9*r - 125 = p. Solve 8*l = r*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-24)\/9 - -2)\/2. Let u = -3 + 2.9. Let v = 139 - 971\/7. What is the closest to k in u, -3, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, p: 5, o: 2, b: 3, c: 2}. What is prob of sequence fbbo?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5*7\/525)\/((-1)\/18).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-36)\/(-27) + 123\/9. Suppose -33 = -q + d. Calculate the greatest common factor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3*s = 10, -68*s = -t - 63*s - 5. What is the closest to 0 in t, -0.4, -1\/14, 0.3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -181, -3, -43 in descending order.\nAnswer: -3, -43, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -14. Let u be (3 - -3)\/(24\/(-16)*1). What is the nearest to u in -0.03, b, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-127449)\/(-4046)*84\/539?\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 169  (b) 2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 12 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 4:21 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-7))\/(8\/(-196)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9433, 9426, 9405, 9364, 9297, 9198, 9061, 8880?\n\"Answer: -f**3 - f**2 + 3*f + 9432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 5*t**2 + 4*t. Let x be s(-4). Let k(v) = v - 100. Let m be k(x). Let q = m + 503\/5. Which is the third smallest value?  (a) 4\/3  (b) q  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*z = 48*z + 1. Let v(t) = -56*t**3 - 5*t - 6. Calculate the lowest common multiple of v(z) and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 + 2)*(-984 - 2146 - 950)*(5 + 1 - 4)*(-t + 0*t + 0*t) as u*t + w and give u.\nAnswer: -8160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) -5  (b) -0.1  (c) -3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 288455331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 89*w**2 + 7*w + 1 - 103*w**2 + 2*w**4 + 50*w**2 in the form q*w**4 + x*w**3 + o + f*w + t*w**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do 11349\/281 and 40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 2*c**2 + 2*c + 32. What is the remainder when 80 is divided by h(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -3, -203.\nAnswer: -203, -3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 8. Suppose -l - 2 + 7 = a. What is the lowest common multiple of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 4*y**3)*(4 - 3 + 0)*(y + 1 - 1)*(-4 + 4 - 3*y).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 3. List the prime factors of c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12733, 12743, 12763, 12793, 12833, 12883?\nAnswer: 12943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 5*y = 72 - 27, 0 = -5*x + 5*y + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = -2514*b + 2561*b. Factor -8\/3 + 4*t - 4\/3*t**b.\nAnswer: -4*(t - 2)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3152, 12506, 28096, 49922, 77984, 112282?\n\"Answer: 3118*s**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*l**2*z**3 - 1473*l**2*z**2 + 2*l**2*z - 51*l*z**3 - l*z**2 + l*z - 8*z wrt l.\nAnswer: 10*z**3 - 2946*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-15 - 18\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -310567?\nAnswer: -310567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 478957436 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 15*g**2 - g. Suppose 133 = 23*v - 235. What is the remainder when d(2) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29770936 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/51 < 0.105126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24167 is divided by 6006.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1)\/(b**(1\/5)*b))\/((b\/((b**7\/b)\/b))\/b*b*b**(2\/13))*(b**(-1)*b)**(-48)*(b**5*b*b)\/(b*b**(-1\/2)*b) assuming b is positive.\nAnswer: b**(929\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(1\/9)*x**(-2\/3) assuming x is positive.\nAnswer: x**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus -0.0418?\nAnswer: 1.9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqvxeexvevq. Give prob of sequence xee.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -46, -88, -150, -238, -358?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-233 - -227)*(0 + 3\/4)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zfivvffvti. Give prob of sequence fvtv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -r - q, 3*r + 10421*q + 20 = 10422*q for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - g = 0. Suppose -s + g*s + 7 = 0. What is the remainder when (-2)\/(-7) - 89\/(-7) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1595144 and 1032152.\nAnswer: 17546584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 - 14*f)*(-2 - 2 + 6) + 0*f + 0*f + f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-1 - -3 - 0). Suppose -5*s = f + 11, -4*s + 73 - 47 = -5*f. Sort s, m, -15.\nAnswer: -15, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*h + 14*h + 45. Let c = 12 - 6. Calculate the highest common factor of h and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 4:10 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27055*k*q**3*t**3 + 1415*k*t**3 - q**3*t + 41*q**3 + 2605*q*t**3 + 241*q*t**2 wrt k?\nAnswer: 27055*q**3*t**3 + 1415*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*h + 9*h + 35*h - 6*h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16281 - 280?\nAnswer: -16561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 23*d - 10. Suppose -y + 2 = -1. Let i be f(y). Let u = i + 41. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 232 = 52429\/226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 25 from 0.041377528.\nAnswer: -24.958622472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d - 4*d - 7*d)*(-114*d + 370 - 370) - d**2 + d**2 + 2*d**2.\nAnswer: 1712*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.102 - 6.898. Let q = -991\/345 - -63\/23. What is the third smallest value in i, q, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 425*h + 445*h - 1538*h + 452*h + 14688 = 0 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*d - 31*d - 245 = -20*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, l: 4, t: 5, h: 2, m: 7, c: 1}. Give prob of sequence tmm.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(605) + 0 + sqrt(605) + -2 + -6*-1*sqrt(180) + (sqrt(180) + 1)*1)**2.\nAnswer: 256*sqrt(5) + 20484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -247 - -1973\/8. Let t(q) = -13*q**2 - 3*q - 2. Let i be t(-1). Let m = i - -12. Which is greater: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189*i + 181*i + 184*i - 736*i - 115 - 42 + 183*i.\nAnswer: i - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t - 101 + 6 = 0. Suppose -5*o = -2*o + 2*a - 46, -t*o = -a - 81. Let w be ((-120)\/9)\/((-2)\/6). What is the highest common factor of o and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 7 = -3*j. Suppose 0 = j*u - 12 - 24. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1581900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 35788383?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102745 divided by 1.\nAnswer: -102745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202102011 - 200020001?\nAnswer: 2012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1*19 + 30\/15 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -2227?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 55524328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60526 = -24865*j + 25436*j for j.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1051756 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 357639610 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*(10 - (1 + -3)). Suppose -15*y = -g*y - 54. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y + 850 = -9*y. What are the prime factors of y?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 109 = 5*n. Let s = -6 - n. Suppose 4*w = -2*y - 1280008, 3*y + 0*y + s = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -230836573, -230836572, -230836571?\nAnswer: -230836570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9 - 9*t**2 + 9 + (-1 + 1 - 3)*(4*t - t - 5*t)*(-1 + 5 - 2)*(-4*t + 2*t + t).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*d**4 + 8*d**3 + 32776*d**2 + 2066698*d - 3?\nAnswer: 156*d**2 + 48*d + 65552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 + d**2 + 3*d**4 - 7*d**4 + 23*d - 23*d - 2*d**4 - 1 + 1 + (-d + 0*d + 3*d)*(3*d**3 + 4*d**3 - 5*d**3).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 108295 less than 108296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 10:47 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/209412 and -38\/11686353.\nAnswer: 420708708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -152133 + -0.083\nAnswer: -152133.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -59113979 rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 753 is divided by 236.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 3*z**3 + 4*z**2 - 5*z - 1. Let y(r) = -r**2 - 2 - 5*r + 2*r + 1 + 3*r**2 + 2*r**3. Give 3*n(l) - 5*y(l).\nAnswer: -l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 57, 114, 171, 228?\n\"Answer: 57*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 988, 368, 5 in increasing order.\nAnswer: 5, 368, 988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1779648 and 1453?\nAnswer: 1781101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 33*-1 - (0 - 1). Let p = -20 - b. Let r(k) = k**3 + 6*k**2 + 4*k + 1. Let a be r(-5). Calculate the greatest common divisor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 231 - 4*q**2 - q + 2*q**2 - 63 - 26*q. Give h(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 304005733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -195, -146, 1247, 5058, 12361?\n\"Answer: 179*b**3 - 402*b**2 + 2*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0292352 + -0.0294. What is l rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 + (-11 - (1 + (-4 - 2))) + 19 + -9\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 658026.188 rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -21 - -3843?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-20)\/((-8)\/(-16)*-1*(6 + -4)). Solve -5*g = 2*t - a, 0*g = -2*t - 2*g + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/1686 and -23\/69126.\nAnswer: 69126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3119 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f*m**3 + 2*f*m**2 - 627627*f*m + 43*m**3 + 147*m**2 wrt m?\nAnswer: -6*f*m + 4*f + 258*m + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 41*u**2 + 2*u - 4. Let m be v(5). Suppose 9*z - m = 994. Does 45 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*k - 2269 = -5576 - 2303 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2090 a factor of 24668270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in -0.1, 1, 0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -162*n**3 + 48*n**3 + 57*n**3 + 26*n - 13*n**2 + 54*n**3 to the form s*n**2 + y*n**3 + g + w*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1235 + 4?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 848 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 56856 = -z, -5*z - 56892 = 19*m - 22*m. Is m a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 217350 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**4\/2 + 2520*t**3 + 350646*t**2 - 6338304*t - 14059008 = 0.\nAnswer: -144, -2, 18, 1808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/10 and -71\/11102854.\nAnswer: 55514270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(2) + sqrt(32)*-2).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -35451.54 rounded to the nearest ten?\nAnswer: -35450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pqpjjq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 1 + 3)*(-2*h + 3*h + h)*(8 - 1 + 2) as y + v*h and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16362 - 18781 - 470 = 3957*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15132 and 1716.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-9)\/12)\/((-23994)\/6493) and -59\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 9:53 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - (-1 + 0 + -1). Let w(g) = -g**s + g**2 - 4*g + 6*g + 2 - 3*g**2. What are the prime factors of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1346211\/2 at most 673107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*t + 41*t + 79*t + 89*t)*(12*t - 6*t + 5*t) - t**2 + t - t in the form p*t + g*t**2 + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*j - 6. Solve 0*b + 3 = -j*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 1734 + 1241 = 0. Solve 17*j = l*j - 36 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w**2 + 9*w - 18. Let g(d) = d**2 - 2*d + 4. Let l(u) = 9*g(u) + 2*v(u). Let n(a) be the second derivative of -a**4\/2 + a. Calculate n(l(q)).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 98 and 303898.\nAnswer: 303898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r + 1. Let z(s) = 39*s + 5. Determine -3*a(v) + z(v).\nAnswer: 36*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63271018 - 10610171 = -340*j + 42854071. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*w + 62*w - 7*w + 1100 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.299586023 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -3. Let k be 4\/7*(-16)\/(-288)*21. Which is the smallest value?  (a) -0.3  (b) p  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 9:12 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9057, 9173, 9367, 9639?\n\"Answer: 39*v**2 - v + 9019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 42 + 25. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, y: 2, o: 4}. What is prob of picking 2 o and 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9520796 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -5  (c) 9.79  (d) 0.5  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, v: 2, g: 6, w: 1, j: 3, c: 5}. What is prob of sequence ywcg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2392?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 2*d - 42. Determine n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 16*l - 395 = 0. Factor -14*j**3 + 395 - l - 2*j**4 + 0*j**4.\nAnswer: -2*j**3*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5045 + 255?\nAnswer: 5344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -9854120.4 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 5, -2\/5, -1, 28342 in ascending order.\nAnswer: -1, -2\/5, 0.1, 5, 28342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3012344021 + -3?\nAnswer: 3012344013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 442120\/18948*-3*(-2 + 5\/2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 0*a + 0*a)*(0 + 0 + 1)*(-3*a + 0 + 0).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*i - 8185877 + 8184513 = 0 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 3 + sqrt(684).\nAnswer: 7 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 3 + 12. Suppose o*n = -0*n + 30. Find the third derivative of 4*s**6 - 2*s**n - 4*s**2 + 2*s**2 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 1, -162 in descending order.\nAnswer: 3, 1, -1, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - 5*j + j)*(2 - 2 + j**4) + 3*j**3 - 3*j**3 - 4*j**5 - 3*j + 3*j - j**5 + (-4*j + 4*j + 2*j**2)*(-j**3 + 6*j**3 - 3*j**3) - j**3 + j**3 - j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q + 36 = 19*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**3 + 4*g. Let m be ((-9)\/(-3))\/((-9)\/(-6)). Suppose -f = 4, m*l - 4*l + 3*f = -20. Let a(j) = j**3 - j. What is l*a(h) + s(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 30458, 148155, 344316, 618941, 972030, 1403583, 1913600?\n\"Answer: 39232*w**2 + w - 8775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -7*p**4 - 5*p**3 + p**2 + 3*p. Let z(q) = 31*q**4 + 21*q**3 - 5*q**2 - 12*q + 1. Let c(y) = 9*v(y) + 2*z(y). Factor c(t).\nAnswer: -(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114680 (base 9) to base 4.\nAnswer: -100313130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 40, 213, 516, 949?\n\"Answer: 65*w**2 - 22*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.12619 - -857?\nAnswer: 858.12619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.28 + -74.279\nAnswer: -73.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2240 + 2608. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -35, -118, -333, -746, -1423?\n\"Answer: -11*d**3 - 6*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 - 984*j**4 - 32 + 982*j**4 + 16*j**2 - 2*j**3.\nAnswer: -2*(j - 2)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22505682 divided by 388029.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -411394.\nAnswer: -123418.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 34143425, 68286849, 102430269, 136573685?\n\"Answer: -2*j**2 + 34143430*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 247 - 405. Let i = 851 - b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -2 - 4 - -8 - -6 - 6) + -49?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 13. Let x = -90 - -95. Suppose -m - 80 = -x*v, 4*v + m = 2*v + 25. Solve -l*w = w - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 - 13580*q**2 - 13573*q + 81474.\nAnswer: -(q - 2)*(q + 3)*(q + 13579)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -239 = -12*v + 3217. Suppose -36*z + 48*z - v = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 433 + -305. Let k = f - 125. Factor -4*g**k - g**3 - 45 + 25*g**2 + 0*g**3 - 10*g - 5*g.\nAnswer: -5*(g - 3)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*q + 11*q - 126. Let o be 4\/(-14) - 3\/(q\/46). Suppose 5*j - 3*c - 510 = 0, c = -o*j - 0*c + 306. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 3) + -1 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 3:59 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, j: 3, m: 3, c: 13}. Give prob of sequence jjr.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 55 + -33. Let f = -16 + v. Let l be f\/8 - 4\/(-16). Which is smaller: l or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5762, -5763, -5764?\nAnswer: -5765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 34, -5, 0.005, 0, -16?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 432 = -0*z. Suppose -30 - 18 = -16*q. Suppose l + 3*g - 38 = 2*g, -z = -q*l - g. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/11, 0.1, -4, 0.4, -5\/7, -110.7?\nAnswer: -110.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 2238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 76 - m - 76 + 0*m to x*m + t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 12, 0 = 6*r - r + i - 473. Suppose -4*z = -2*h - 43 - 27, -3*h - 67 = -4*z. Calculate the remainder when r is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 24*s - 23. Let c be (-18)\/(-12)*552\/(-9). Let m be c*((-36)\/16 + 2). Let w be r(m). Which is smaller: w or -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -5*p + 34. What is the smallest common multiple of f(6) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203865223?\nAnswer: 203865223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -73\/27 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72757?\nAnswer: 31, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: In base 12, what is -690 - -5?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -9*k + 0*k + 6*k. Let u(v) be the second derivative of 5*v**4\/12 - 16*v. Determine w(u(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 - 8220*y + 401000.\nAnswer: 4*(y - 2005)*(y - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 126*c + 1. Let b be j(-1). Round b to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, -99, -99, -89, -63?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5*g + 364 = 0, 2*p + 3*g + 182 = 3*p. Suppose p = 3*d + 209. Let m = 4 - 14. Is d greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -121, -127, -133, -139?\n\"Answer: -6*p - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45 and 4993463205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (19 - 31) + 8 + 14 + -42?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 7*p + 10. Let g be ((-6)\/8)\/(1\/(-4)). Suppose -18 - 6 = g*n. Let i be o(n). Solve -4 = -i*w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 1034*h**2. Let r(w) = -8*w + 12. Determine r(n(a)).\nAnswer: -8272*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**2 - 2*u**2 + u**4 + (-6*u + 0*u + 4*u)*(66 + 6024*u - 64 + 264*u**3 - 266*u**3).\nAnswer: 5*u**4 - 12048*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2117468936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 189 divided by -3?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2071982 (base 10) to base 11.\nAnswer: -1195790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {n: 1, r: 1, j: 1, f: 2, i: 1, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/1 + 1 + -2. Suppose -18 - 12 = -3*g - 3*u, 0 = -l*g - u + 25. Let t be g + -1 + (-2)\/(-2). Solve 15 = t*a - 0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13\/37, 2\/13, 5 in ascending order.\nAnswer: -13\/37, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-h + 0*h - h)*(5*h + h - 4*h) - 63*h**2 + 10*h**2 - 47*h**2 + h**2 + h**2 - 4*h**2 - 212*h - 15*h**2 + 212*h as n*h + y*h**2 + l and give y.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {d: 3, k: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3072\/85  (b) -0.2  (c) 3  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(2\/33)*j**(-8\/11) assuming j is positive.\nAnswer: j**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + -3)\/(1\/(-3)). Let q be 3\/5 + 22\/55. Let h be i\/2*2\/q. Solve 2*j - 10 = -h*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 - 2*y**2 + y**2)*(14*y - 4*y + 0*y).\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*p - 329*p - 45*p - 9548 = 0 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/4*(-4)\/20)\/(61\/(-5246)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 4*v = -5*t + 18, 55 = -5*t + 5*v. Let l(y) = y**3 + 14*y**2 + 13*y + 13. What is l(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 - -36.44583579?\nAnswer: -30.55416421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9949, 20628, 31307, 41986?\n\"Answer: 10679*n - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-114)\/8)\/1*2\/(-1)*(-772)\/(-579)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11, -1\/2, -3\/5221, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 11011001010000?\nAnswer: -11011001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15406 is divided by 7608.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + j + 20 = -2*f, -2*f + j + 10 = 0. Suppose 0 = 3*l + 2*z + 19, -20*l - f*z - 35 = -15*l. What is the biggest value in -2\/17, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -25, -51, -77, -103, -129?\n\"Answer: -26*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 8*q + 18. Let w be -10 + (29\/5 - q\/(-15)). Put w, 4, 15 in increasing order.\nAnswer: w, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 + 26*d + 75. Let l be x(-23). Let f(g) = -g**3 - 5*g**2 + 3. Let v be f(-5). Suppose -v*t = -l*t + 1191. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-174 + 48*d + 174)*(-1 - 1 + 3)*(-71 - 5 + 11) to a + w*d and give w.\nAnswer: -3120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*n - 118 + 118.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 3*m = 2*m - 25, 0 = 2*m - 0*m + 691 - 697 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3566 - -21481\/6. Find the common denominator of i and 45\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 3*r - 6 = -i, 0 = 3*r + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54 - -380\/7. What is the closest to -2\/5 in t, -0.065, 0.15?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -133065 smaller than -133064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-26)\/(-8) + 27\/36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 47*w**2 + 427*w + 52. Calculate g(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 99*y + 62. What is n(-2)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33927809\/23 less than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 8\/931303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -141576*s**2 + 7269*s - 31.\nAnswer: -283152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b + 127. Let r(d) = -4*d - 254. Determine 5*a(u) + 2*r(u).\nAnswer: -3*u + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q**2 + 5*q - 2. Give x(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1519252 divided by 4.\nAnswer: -379813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27880 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -784051208*s**3 - 73965105*s**2 wrt s?\nAnswer: -4704307248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-186) + (4 - (-4085)\/(-589)). Let f be (2\/(-7))\/(6\/(-14)). What is the nearest to k in 5, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-6)\/(-4)))\/(56\/42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 + 7*a - 7. Let j be v(5). Let x(t) = 186*t + j - 3 - 190*t. Let p(i) = -4*i. Calculate p(x(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0474 + 4.0474. Let i = -47 - -42.8. Let o = z + i. Which is the third biggest value?  (a) -2\/7  (b) 2\/7  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 254366493 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/7)\/((-15096)\/4662)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-1)*(-6)\/(-4). Let h(i) be the third derivative of -1\/120*i**6 + 59 + 0*i + 5\/24*i**4 - 2*i**2 - 1\/60*i**5 + 1\/3*i**3. Calculate h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -898535  (c) -1\/4  (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**7\/84 + 4*c**6\/15 + 41*c**5\/40 + 13*c**4\/12 - 418*c. Let z(x) = 0. Calculate x.\nAnswer: -13, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l - 1. Let w be u(5). Suppose -x - 112 = -5*x + w*b, -52 = -2*x + 4*b. Let n = -11 - -31. Calculate the greatest common factor of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -946, -7879, -26908, -64147, -125710?\n\"Answer: -1019*s**3 + 66*s**2 + 2*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s**2 - 18*s**2 - 17*s**2)*(0 + 3 - 4) + (0 - 2*s + 0)*(-5*s - s + 5*s).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -183884, -183885, -183886, -183887?\nAnswer: -183888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -105 - -112. Let q(r) = 5*r - 15. Let t be q(y). Solve 0 = 5*d - 0*l + l - t, -5*d - 5 = -4*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 - -43. Factor 3*b**5 + 10*b**3 + 23*b + 40*b**2 - 8*b**5 - y*b**4 + 3*b + 9*b + 10.\nAnswer: -5*(b - 2)*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -157 - -168. Suppose -d + 8 = d, 0 = -u + 2*d + g. What is the remainder when 187 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 4*t + 20. Let y(b) = b + 1. What is n(r) - 6*y(r)?\nAnswer: -2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -619*i + 616*i + 75 = 0. Factor -26 - 264*n + i + 21 - 153*n**2 - 36*n**3 - 65 - 3*n**4 - 99.\nAnswer: -3*(n + 1)*(n + 3)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2*d**3 + 2 + (0 + 6*d**2 + 0)*(6*d - d - 4*d) + (0 + 0 - d)*(-d + d**2 + d) + 4*d**3 - 2*d**3 + d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, o: 1, k: 3, h: 3, c: 1}. What is prob of sequence ohhh?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**3 + 29226*z**2 + 6062340*z + 12007800.\nAnswer: 3*(z + 2)*(z + 210)*(z + 9530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 343*v**5 - 7 + v**2 - 107*v**5 - 178*v**5 - v - v**2 wrt v.\nAnswer: 1160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88+-39216.8000528\nAnswer: -39304.8000528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.5615 + -1.4385. Put 4, g, 82.9 in descending order.\nAnswer: 82.9, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 4*b**7\/147 + b**6\/35 + b**5\/140 + 6*b. Factor o(w).\nAnswer: w**3*(2*w + 1)*(4*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 - 3*i - 11. What is the remainder when g(7) is divided by (-32)\/(-6) - (-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6428*q**5 + 3*q**2 - 163*q.\nAnswer: -385680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231 - 220 = -11*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 - -0.3. Let s be 0 + (-3)\/(-60)*-2. Let t be 4\/10 - 42\/180. What is the nearest to j in s, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 192083740?\nAnswer: 2, 5, 9604187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -42445000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58129.\nAnswer: 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4414 greater than or equal to 4422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/((-2)\/(-12)*3). Let n be 169\/(-3) - (-5)\/15. Let q = n + 53. Sort -1, v, q in ascending order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32142 and 2266.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 - -18. Let v(t) = x + 2*t - 1 - 2*t - t. Let g(y) = 4*y + 3. Determine g(m) + 2*v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1185132 and 53534?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14016 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + -5. Let v = x + 5. Suppose 3*y - 27 = -3*r, 3*y - 4*r = -2*y + 54. What is the least common multiple of y and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63))**2*-2 - (-1*sqrt(7) + -1)) + -2*((sqrt(28) - sqrt(140)\/sqrt(5))**2 - sqrt(28)).\nAnswer: -125 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2946, -9, 4 in increasing order.\nAnswer: -2946, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p**2 + p + 3. Let v(k) = 4*k**2 + 2*k + 5. Determine 10*q(g) - 6*v(g).\nAnswer: -4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 6, 101 = -3*f + f - 4*q + 87 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4652 + -0.07. Let h = c + 0.5347406. Round h to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -89 + 91. Solve -4*d + 8 = 0, 0*a + 5*d = -z*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -7. Let g be y + (-3 - (-5 - -2)). Let h = 11710 + -105340\/9. Is g at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 5:21 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -1  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of 5*h**4\/6 - h**3\/6 + h - 23. Let x(r) = 11*r**2. Determine x(t(y)).\nAnswer: 1100*y**4 - 220*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h**3 - 144*h**3 - 151*h**3 - 146*h**3 - 4 + 449*h**3 + 4.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -67542400 rounded to the nearest 100000?\nAnswer: -67500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005382 to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**2 + 16*s + 34. Let b be x(-4). Put -12, 4, 0, b, -3 in increasing order.\nAnswer: -12, -3, 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2904 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6721 and 2068?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5168076 is divided by 9696?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10160343 by 3.\nAnswer: -3386781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5932, 24590, 55662, 99148, 155048?\nAnswer: 223362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(117) + -3*sqrt(117) + sqrt(117) + 1 + 2 + (sqrt(117) + sqrt(117) + sqrt(117)*-3)*-3 + -4)*-6)**2.\nAnswer: -1296*sqrt(13) + 17172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 1634*v - 592404. Determine f(543).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35355017.\nAnswer: 37, 955541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 35*f**2 + 77*f - 355. Let z be s(33). Solve -7*u - 15 + z = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1033*a + 2*v = 1038*a - 15, 5*v = -4*a - 87 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -12*j**2 - 5*j**2 + 6*j**2 - 14*j**2. Let z(a) be the first derivative of -a**2 - 93. Determine z(q(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-2 - -5) - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46617475291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r + 17. Let a(n) = -18854 + 9430 + 9423. Calculate 6*a(s) - i(s).\nAnswer: -2*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 2*k**2 + 35*k + 3. Let y be r(-5). Solve 6*p - y*p = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to -4889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -4*m + 6. Let l be ((-3)\/(-2))\/((-3)\/(-6)). Suppose 0 = -x - l - 2. Does 13 divide a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 + 84. Calculate the greatest common divisor of i and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/8)\/((2250\/12)\/(-25))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -952, -1975, -3102, -4351, -5740, -7287?\n\"Answer: -3*w**3 - 34*w**2 - 900*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 4 + 5)*(0 + 0 - v) - 2*v + 4*v + 0*v)*(-6*v**2 + v - 14*v**2 + 4*v**3 + 22*v**2).\nAnswer: 12*v**4 + 6*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4042277 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 132233?\nAnswer: 132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 0.9, -6, -1\/2 in ascending order.\nAnswer: -27, -6, -1\/2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 498*c**2 - c + 3. Let x be d(1). Suppose 104*t = 99*t - x. Is (-7560)\/t + (-2)\/(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 4*b + 33, 3*y = 5*y + 3*b - 81. Suppose j - 8 = -4*a, -3*j + 5*a + 47 = -y. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 37693, 37662, 37631, 37600, 37569, 37538?\n\"Answer: -31*f + 37724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3\/3 - 1138*m**2\/3 + 158998*m\/3 + 823690\/3.\nAnswer: 2*(m - 287)**2*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - ((-5992)\/12)\/(98\/(-21)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 9:19 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -4*o**3 - 32*o - 99. Let d(v) = -2*v**3 - 18*v - 49. What is 7*d(j) - 4*y(j)?\nAnswer: 2*j**3 + 2*j + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 4. Solve x + q = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 14*p**2 + 12*p + 8. Let w be s(-15). Suppose -o = -w + 29. Suppose 12*f - o = 4*f. Calculate the remainder when 25 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 10225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/(-20) + (-1)\/(-5). Let u = -1.4 + 1.9. What is the nearest to -1 in u, -5, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -32*n**3 + 2*n**2 + n. What are the prime factors of o(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-3\/2))\/(m**3\/m)*m**(-1\/3)\/(m**(4\/5)*m) assuming m is positive.\nAnswer: m**(-109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16405 + 223?\nAnswer: -16162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**2 - 7*w + 3. Let f(y) = 6*y**2 + 21*y - 10. Let m = -1 - 1. Give m*f(d) - 7*x(d).\nAnswer: 2*d**2 + 7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 15 = -5*g, 4*s + 4*g = 0. Let o be 1\/(-1)*s*5\/10. Let f be (-1)\/(o\/6) + -191003. Round f to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2795\/(-6708))\/((-2)\/(-12)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -1. Let l(m) = 0*m + 1 + 11*m**2 + i - 3*m**3 - 10*m + 2*m**3. Let o be l(10). Solve 0 = 5*n + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 2. Let j(f) = -4*f**2 - f - 8. Let t(v) = -2*v**3 + 20*v**2 + 40*v - 200. Let q be t(11). Give q*j(a) + 9*l(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j. Let m(g) = 18*g**2 - 33*g + 33. Let o(r) = r**2 - 2*r + 2. Let c(p) = -6*m(p) + 99*o(p). Determine c(q(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q - 10. Let o = 20 + -16. What are the prime factors of g(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76.18 + -65.1. Let r = -0.08 + n. Let i = r - 11.5. What is the biggest value in -0.4, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(3) + -3) + ((sqrt(3)*-2 - sqrt(3)) + -5)**2.\nAnswer: 46 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3311 - 3311. Solve 5*k + j + 6 = a, -4*j + 10 = -3*k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 5. Let i = 44 - -1. Suppose x = -k*x - i. Which is smaller: x or -25\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 330 + -333. Let o be (-2)\/(0 + 2) + 2. Suppose -3*h - 13 = 2. What is the closest to o in h, t, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/443 in 4, -2\/13, 2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 306 = -3*g, 3*m - 217 - 85 = -g. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -17. Let v be (-1 - p - 0)\/(-1). Suppose 0 = -5*j - 5*d, 0 = 4*j + 2*d - 4 - 0. Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 27. Suppose 2*t - 41 = t + k, -2*t + j*k = -91. Let z = t - 17. Solve -5*h - z - 4 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 4\/9, 3, -0.2, 5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -9. Let t = g + -3. Let x be 5 - (-6 - 9)\/(-5). Solve -3*z - 4*f = f - 4, t*f = x*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109628400 divided by -700.\nAnswer: 156612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of 25*v**2\/2 + 8057. Let l(p) = -p**2 + 2*p**2 + 2*p**2. Calculate l(u(t)).\nAnswer: 1875*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.32 or -1.54046?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -33353 and -33354 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 108983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (20 - 6 - 3)*(-5833*k**2 + 1030*k**3 + 5833*k**2)*(-k - 1 + 1) in the form v*k**4 + i + f*k**2 + a*k**3 + c*k and give v.\nAnswer: -11330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 0 + 2)*(1 - 2 + 2) + 0 + 7 - 3)*(o**5 + 2*o**5 - o**5).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s*(((s\/(s*s*s*s*s**1))\/s)\/s*s*s)\/s))\/s)**2 assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -185871351 by 61957117.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (-3 - ((3 - -4) + -5)) - (142 + -78).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -5. Suppose 8*i - 25 = g*i. Let d(s) = -s**3 - 4*s**2 + 2*s - 7. Let r be d(-5). Solve 2*w = -i*y - 11 - r, 2*w - y = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2213118 or -2213117?\nAnswer: -2213118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3985\/18 + -27607\/126. Let -f - 16\/7*h - 4\/7*h**2 = 0. Calculate h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02373814 * 3.\nAnswer: -0.07121442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/390 and 37\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -19*(-1 + 2)*-17. Suppose -4*c = -3*i - 117 + f, 4*c + 58 = i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**5 + 7*a**4 + 241*a**2 + a - 10237.\nAnswer: -40*a**3 + 84*a**2 + 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15 + (-12 - -11)\/(2\/4). Let r(s) = -s**3 + 13*s**2 + 4*s + 10. Let m be r(i). Let c = 179 + m. List the prime factors of c.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 3*v**2 - 6*v**2)*(2 + 4 - 3) + (0 + 3 - 1)*(-11*v + 14 - 14)*(-7*v + 2*v + 2*v).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 - 9*k + 4. Let v be b(7). What is the common denominator of -29\/22 and 65\/(-52) - 4\/v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 1 = 3*o - 4, 0 = -5*j - 10. What is the units digit of 64 + -2 + (-3)\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 687 - 689. What is the closest to -1 in 7, 8\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4963 - 4927. Calculate the smallest common multiple of 2646 and h.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -3. Suppose 2*o = 3*o - x. Let v be 5\/o + (2 - 2). Solve -p + v*p + 11 = 5*f, -4*f + p = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -168373\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -469277.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + n - 7 = 0, -2*v + 3 = -3*n - 2. Calculate the remainder when 56\/8 + (-654)\/v is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 24 + 18 + 0*j + 129*j**2 + 2*j to u*j**2 + o*j + y and give u.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -1 - (6 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - 4*l**2 + 6*l**2 + 0*l**2)*(499*l**3 - 191*l**3 + 669*l**3).\nAnswer: 1954*l**5 - 2931*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 54 + -50. What is the hundreds digit of 194 + ((-3)\/6 - f\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224.834s to milliseconds.\nAnswer: 224834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 14 = -11*q. What is the smallest common multiple of 15 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 236 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39\/(-65) + (-22)\/(-30) + 548769\/45 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 22. Put -4, b, 5 in descending order.\nAnswer: 5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11120210221121 (base 3) to base 8.\nAnswer: 11227621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2)*j)**(-23)*(j**(-1))**(2\/15))\/(j**(-1)*j**(2\/11))**(-7\/4) assuming j is positive.\nAnswer: j**(14147\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 1 = 3. Suppose p*z - 12 = -2*z. Solve 37 = -4*o + 5*d + 4, -o = -z*d + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 156\/5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b**2 - b**2 + b**2)*((-b + 3*b - b)*(1 - 2 + 2) - 3*b + b + 4*b) in the form v + r*b**3 + w*b + t*b**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = a + 2*t, -t = 3*a - 6*t - 19. Solve -5*p + a = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k**(-21)\/k))*k*k)**(-6)\/(k\/k**0)**18 assuming k is positive.\nAnswer: k**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 13*i + 3. Give q(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112 + 220201000001?\nAnswer: 220200222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3 - y**2 + 0*y**2 + 0*y**2. Let o(m) = 3*m**2 - 10*m - 8. Let i be 10\/(-2)*8*(-2)\/20. Let a be o(i). Determine q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, f: 2, g: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 34*p**2 + 69*p - 6. What is u(32)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205829 is divided by 3741.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 3311054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 420 by 1.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c - 10. Let g be n(-8). Let f(r) = r + 5. What is the tens digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -1\/4, 3, -0.725, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 316440 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.57 - 9629862308.\nAnswer: -9629862311.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 2*c = 3*c - 17, l = 3*c + 14. Let g be (l\/(60\/9))\/(66\/(-16)). Which is smaller: -1\/2 or g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 37, -1, 4, 12014, -3, -5 in ascending order.\nAnswer: -5, -4, -3, -1, 4, 37, 12014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*g = -20. Solve -v + 3*m = 5, g*m = 3*v - 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9839\/150 - -328\/5. Let x(c) be the third derivative of 0*c**4 + a*c**5 + 0 - 1\/15*c**3 + 2*c**2 + 0*c. Factor x(l).\nAnswer: 2*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -570\/13  (b) 0.0038  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1071*q**2 + 1 - 1 - 1068*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93953115.\nAnswer: 3, 5, 61, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 3*z - 4*h + 9, 5*h = -z + 18. Suppose 126 - 18 = z*w. What is the greatest common divisor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -109 + 0*n**2 - 113 - n**2 + 342 - 114 - n as w*n**2 + v + l*n and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 516262949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -95, 5, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r + 27860 - 8743 - 6*r - 4*r.\nAnswer: -4*r + 19117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6182522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 585\/651 - 4) + 1 - (-38)\/(-133).\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*l + 912 = 18*l. Suppose p = -p + l. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {d: 4, c: 7, p: 1, y: 1}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -4, -64, 1, 7 in descending order.\nAnswer: 7, 1, -4, -14, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbpbbbppbbpppbp. Give prob of picking 1 p and 3 b.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1039 divide 6617657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 4*g**2 + 6*g - 5. Suppose -y + 9 = -4*k, -5*y = -5*k + 5 - 35. Let m be j(y). Let w = 14 + -19. Sort -2, w, m in increasing order.\nAnswer: w, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lnpempplpempppmm. Give prob of picking 1 l and 2 p.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 + a + 227. What are the prime factors of d(-31)?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 5*o**3. Let v(p) = 2*p**3. Suppose 3*j - s = -j + 35, j + 3*s = 12. Give j*v(x) - 4*b(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)*-2*3)\/(sqrt(250)*1))\/(sqrt(1296)\/sqrt(4) + sqrt(4) + 5*sqrt(44)\/sqrt(11)).\nAnswer: -2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2207326 + -5?\nAnswer: -2207333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -13 in descending order.\nAnswer: 3, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14614 + -292189\/20. Find the common denominator of -40\/7 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(1\/6)*k**(1\/2) assuming k is positive.\nAnswer: k**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*a + 2250 = -139*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -0*u + 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffuqqqqfqcqoco. Give prob of sequence oqfc.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2819675 + 3.1180263. Let n = w - 3.4. Round n to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110110001110101111011100 - 0?\nAnswer: -1110110001110101111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + 18. Let f be w(15). Solve -f*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/4163130 and 145\/179586?\nAnswer: 45794430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2255952 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 599 divide 226112317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/3)*y*(y*y*y**2)\/y*y)\/y**6*y**(-40)*y**(-43) assuming y is positive.\nAnswer: y**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 264 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1822357727.\nAnswer: 3361, 542207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-72))\/((-485)\/(-388))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 523125?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 7*k**2 - 7*k - 7. Let h be m(8). Let s(x) = -x**3 + 2*x**2 + 2*x - 2. Let a be s(3). Sort a, -0.2, h in ascending order.\nAnswer: a, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4\/5 + 2551*v**3 - 10134562*v**2\/5 - 53558589*v\/5.\nAnswer: -v*(v - 1597)**2*(4*v + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/5)\/((-4)\/(-40)). List the prime factors of ((-81)\/6)\/(9\/y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-2)\/70)\/((-24)\/(-56)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3890*a**2\/17 + 4014804*a\/17 + 334368\/17.\nAnswer: 2*(a + 1032)*(1945*a + 162)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 42 + -39 + (14 - 0) + -1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27918 divided by -99.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 342090 and 10540.\nAnswer: 360562860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - -13. Suppose -5*g + n = -g. What is c in -2\/5*c**5 + 0*c**2 + 0 + 0*c + 4\/5*c**g - 2\/5*c**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 1775 = 2*d - d, 2*f + 3*d = 710. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 308349198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/39 and 29\/12591.\nAnswer: 163683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*o + 3*o - 5, -3*m - 11 = -4*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 41*o. Let g(m) = -91*m - 47*m + 134*m. What is g(u(d))?\nAnswer: -164*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2891*b = -310816 + 18825 for b.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 + -1.05. Which is the closest to -1?  (a) 2  (b) x  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 613805 is divided by 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (5\/7 - 54\/(-189))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10944 - 62?\nAnswer: 10882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -1\/10  (c) 5  (d) -8  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 53 + 91. Let u = r + -97. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + n - 21. What is h(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 660 and 20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-42))\/(-2)*-7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 + 9*m + 2. Let d(k) = 7*k**2 + 2*k + 1. Let c be d(-1). Calculate the remainder when 38 is divided by s(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 0.12, -3, 3\/4, -1\/8?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(0 - (0 - -1)). Let f be (-12)\/(k + 1\/(-2)). Suppose 0 = -3*l - 2 + f. Solve -l = 5*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1969046*l - 1 - 1969050*l + 1.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 4:33 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26240 - 26240 + 774*x to the form g + t*x and give t.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4685*w**3 + 2904*w**2 + 29464817 wrt w?\nAnswer: 14055*w**2 + 5808*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35103 = -3*t - u, -20*t + 23*t - 35103 = 4*u. List the prime factors of t.\nAnswer: 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -5*x**2 + 365*x + 370 = 0.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55112*m**2 + 136464*m wrt m?\nAnswer: 110224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24\/16 - 1 - 13\/(-2). Let q(l) = -2*l + 7. Determine q(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - (14 - (-6 - -14))) + (3 - 6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(((((((q\/(q*q\/q**(-3\/4)))\/q*q)\/q)\/q)\/q)\/q)\/q)*q\/(q*q**8)*q\/((q\/q**(-10))\/q*q)*q\/(((q\/(q\/(q*q*q\/q**(-10))))\/q)\/q)*q assuming q is positive.\nAnswer: q**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9.0377 - 0.0377. Which is smaller: b or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10346852 is divided by 73906?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2717\/7 + -395. What is the common denominator of w and 56\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-3 - -6) + 0 + 2 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 54824775 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 2 - 3)*(13*f - 44*f - 46*f) + 2*f + 4*f - 5*f)*(18 - 9 + 9 + (-3 - 1 + 3)*(4 + 0 - 2)) as n + h*f and give h.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of a**8\/672 - a**6\/240 + a**2\/2 + 3*a - 25. Let j(b) be the second derivative of t(b). Suppose j(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -153275, -153253, -153225, -153191?\n\"Answer: 3*a**2 + 13*a - 153291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3195 and 208099296.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 68322326 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147763262?\nAnswer: 2, 41, 43951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -259905, -5 in ascending order.\nAnswer: -259905, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13953 and -0.66?\nAnswer: -9208.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14.07 - -14. Let u = -127 - -129. Which is the third smallest value?  (a) 1\/5  (b) u  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, q: 5, n: 2, i: 11}. Give prob of picking 3 q.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is cb (base 15) in base 12?\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 21226465 (base 7) to base 5\nAnswer: 430233302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 11*p + 5. Let t(f) = -9*f - 4. Let k(w) = -4*n(w) - 5*t(w). Let q(m) = -1 + 1 + 1 + m. Let x be 6\/(-4) - 27\/(-6). What is x*q(j) - 4*k(j)?\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + -1*(0 + -2*sqrt(891)).\nAnswer: 9 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -16. Let h(m) = 2 + 2*m**3 - 11*m + a*m + 6*m + m**2. Calculate h(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17356989 (base 10) to base 11\nAnswer: 9885621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*(-4)\/(-8)*144\/252.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j\/(j*j**0)*j)**(-3\/20)*j**2\/(j\/j**2) assuming j is positive.\nAnswer: j**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21870 and 1620.\nAnswer: 43740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3*j = 5. Suppose 4*v + 0 = -3*q + 3, 5 = j*q + 5*v. What are the prime factors of -3*((-1)\/q - 0) - -59?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -678 - -10?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 10, t: 2, j: 3}. Give prob of picking 3 u and 1 t.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from klkyyyyhl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 6 - 2 = 0, 5*u - 314 = 3*z. Calculate the remainder when u is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7130 is divided by 3547?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-18))\/((-2)\/(-54)*3). Let z be (-56)\/(-24) + l\/3. Suppose -3*v - 30 = 4*q, 0 = -v + z*q - 1 + 4. Let k(y) = 2*y + 4. Give k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -517 * 107.\nAnswer: -55319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 299374, 299578, 299782?\n\"Answer: 204*t + 299170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 13*m**2 + 11*m - 14. Is v(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 450, -2, 3361, 3, -1, 5 in descending order.\nAnswer: 3361, 450, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.801 * 0.3\nAnswer: 0.2403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 25*i**2 - 133*i - 109. Give d(-14).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n + 8. Let y be v(-4). Suppose 2*k - 4 - 76 = 0. Let z be (-6)\/y*k\/15. Let q(f) = f**3 + 5*f**2 + 5*f - 2. Give q(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + (sqrt(36)*-3)\/sqrt(12) + sqrt(972)\/sqrt(4).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -29*j**2 + 25*j + 24. Suppose 0 = -16*y + 389 - 85. Let z be o(y). What is z rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 2*x + 2. Suppose -2*i + 3*i - 5*z - 32 = 0, 42 = 3*i + 3*z. Suppose 0 = a - 5*a + 4, 2*a = -5*m + i. Give h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 4*n**2 - 4*n - 6. Suppose 5*j = -5*v + 3*v - 28, 0 = -5*j + 2*v - 12. Calculate p(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 e, and 1 s when three letters picked without replacement from ehehhhhhnhscne?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 6185997379187?\nAnswer: -6185997379190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*s = 0. Suppose i - 4 - 1 = s. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 836 = 209*j, -2*x - 3*j = -2*x - 3 - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 57, 93, 131, 171, 213?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 775, 691, 545, 331, 43, -325, -779, -1325?\n\"Answer: -n**3 - 25*n**2 - 2*n + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1540388.\nAnswer: 2, 109, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50.6 + 58. What is x rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/7 or 0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 87\/15 - 459\/255. Sort 2\/11, 45\/8, k, 5 in decreasing order.\nAnswer: 45\/8, 5, k, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3))**(-31))**(-6)\/((o*o*o**(-4)*o)\/(o\/o**3))**(-1) assuming o is positive.\nAnswer: o**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -568628, -1137257, -1705886, -2274515, -2843144?\nAnswer: -3411773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 15 = 3*s, 0 = -2*t + 3*t - 3*s - 12. What is the third biggest value in 0.1, 9, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 108 + 122 = -8*o + j, -5*j = -2*o + 37 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -210 - -210. Let s(g) be the third derivative of -1\/12*g**5 - 1\/120*g**6 + g**2 + 1\/2*g**3 + b*g - 1\/12*g**4 + 0. Give s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*n**2 + 380*n**2 + 110*n**2.\nAnswer: 414*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 551255 (base 7) to base 6\nAnswer: 2022505","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*w = -432. Suppose 5*l - 3*l = w. What is the common denominator of -31\/4 and 388\/l - 4\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 126 = -0*y + 11*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1626*((-30)\/18)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -358888 = -2*k - 5*o + 54480, 5*o = -4*k + 826766. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 411959, 411956, 411953, 411950, 411947, 411944?\n\"Answer: -3*l + 411962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2175136, -4350269, -6525408, -8700559, -10875728, -13050921, -15226144, -17401403?\nAnswer: -19576704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -67344 and -67344 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1403, 1405, 1409, 1415, 1423, 1433, 1445?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*o + 55*o + 3*o + 34*o - 8 + 5.\nAnswer: 130*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -311 + 12551055?\nAnswer: 12550344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 193145040 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.07 and 7956212?\nAnswer: -556934.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 843258\/5690 + (1 + -3)\/10 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(200) + (sqrt(200) - (-2 + sqrt(200))*4) - sqrt(200))*1 + -3)**2.\nAnswer: -180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 64772\/15 + -4318. Let i = 0.1 + -0.2. Let k = -3.9 + i. What is the nearest to 1\/2 in 3\/8, s, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4630771837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.19 - 8.81. Let d = h + 16. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 201 + -196 + (-1 - 0 - 0) - -25\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**3 - 35*a**2 - 728*a + 6519. Give k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*u**4 + 231902*u**2 + 4*u + 43521.\nAnswer: -24*u**2 + 463804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 8*n**2 + 3*n + 1. Let u be g(-6). Let w(q) = -17*q - 2. Let x be w(-2). Let t = x - u. Is t at least as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 51 = -4*f. Let a = f - 23. Let s = a + 12. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q + 10. Let y(m) = 2*m - 11. Calculate -6*c(a) - 5*y(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen tenths of a decade in years?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5847)\/(2\/6*(-198)\/44)?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w - 1. Suppose 3*b - 4*h - 3 = 0, -21 = 5*b - 88*h + 90*h. What is c(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 433812400 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f. Suppose 4*i = -0*i - 196. Let h be 21\/i + 902\/14. Let u(a) = 77*a + h*a - 132*a. What is u(z(s))?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 13*h**2 + 13*h + 16. Let i be g(14). Suppose 2*m - 16 = -i*m. Let f be (m\/6)\/((-2)\/(-9)). Solve -4*d + s = -d + 8, 0 = 5*d + f*s - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17744 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -49565\/4213 or -13?\nAnswer: -49565\/4213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1638  (b) 1\/41  (c) -5  (d) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*j**3*y**3 - 40978*j**3 - 34*j*y**2 - 47*y**3 - y - 2 wrt j?\nAnswer: -72*j*y**3 - 245868*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -4088967*q. Let a(l) = -7*l. Give a(r(y)).\nAnswer: 28622769*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -53\/120 + 1\/24. Which is the nearest to -1\/8?  (a) l  (b) -0.1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 834165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -52  (b) 9  (c) -0.06  (d) 8\/7  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 49 - 31. Find the common denominator of 23\/m - 0 - 4 and -5\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/((r*r*r*r\/((r\/r**(-1))\/r)*r*r)\/r)*r*r))\/(r*r**16))\/(r**(-3\/10))**(-10\/11) assuming r is positive.\nAnswer: r**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*p**2*r - 115767780*p*r**2 + 607557210*r**2 with respect to p.\nAnswer: 10*p*r - 115767780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79645342.\nAnswer: 2, 7, 97, 223, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 3*g - 1. Suppose -20 = -5*q - 55. Let b = q + 9. Give y(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/5 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.7, 5, -12\/17.\nAnswer: -12\/17, 3.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + 27*u. Let q be x(-23). Let a = q - -92. Let d(b) = 2*b + 1. Let m be d(a). Is m at most as big as -1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) 4\/3  (b) -4\/7  (c) 40  (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 43505074 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 165888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, q: 4, f: 3}. What is prob of picking 2 i and 2 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -355550550 (base 6) in base 8?\nAnswer: -31477702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 743776540*t**5 + 324*t**2 + 4*t - 129431.\nAnswer: 44626592400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 5 - -7) + -3 - (-140 + 31 - -18).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**4 + 92 + 3*w**5 + 43 - 138 + (0*w**4 - 3*w**4 + 2*w**4)*(3*w - 4*w + 2*w) + 2*w**5 + 3*w**2 - 3*w**2 + 3*w - 3*w + 2*w**5.\nAnswer: 6*w**5 + 2*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54802*w**3 - 94*w**2 + w - 28.\nAnswer: 328812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17334 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -238262586 to the nearest one million.\nAnswer: -238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -75*p - 448. Calculate q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-2\/91)\/p)\/p*p**30\/p*(p\/(p*p\/p**(-30)*p))**(5\/3))**35 assuming p is positive.\nAnswer: p**(-34610\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18348 is divided by 118?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 719 - 275 = -4*v, -4*v - 5*r - 442 = 0. Are v and -97 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40272 - -41753. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-359696)\/(-576) - 1\/4. Let n = 625 - k. Are n and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -1658 + 628 + 860 + 7*q. Let o be k(26). Solve -4*n + 0 + o = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(2 + 0\/2). Let g = 6 - 4. Find the second derivative of -u + 4*u**2 - 4*u**g - c*u**2 wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 923619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58 - -60. What is the second derivative of -3*n - 8 - 48*n**5 + 6*n - v*n + 25 wrt n?\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 7*k**5\/5 + 19*k**4 - 124*k**3\/5 - 1136*k**2\/5 + 384*k\/5 + 3024\/5 = 0?\nAnswer: -14, -18\/7, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373 is divided by ((-8)\/5)\/(140\/(-1925))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -191624*g**2. Let b(z) = z**2. Calculate n(b(y)).\nAnswer: -191624*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 159666631 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 3*h + 4*h)*(-320*h**2 - 3 + 3 + 394*h**2).\nAnswer: 148*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-1\/2)*b\/((b**(-6)\/b)\/b)*b*b**(3\/2)*b*b**(6\/7))\/(((b\/b**(-3))\/(b**(-1\/3)\/b))\/((b**(-1\/4)*b)\/b)**(-12\/11)) assuming b is positive.\nAnswer: b**(2263\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + 0)\/((-2)\/(-132)). Let g = 103 - v. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, h: 2, s: 1}. Give prob of sequence sh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11700800 (base 9) in base 7?\nAnswer: -66455610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-2) + 4 + -4. Let b(h) = -2*h - 37. Let c be b(-20). Let m be c + (4 - 4) + -1. Put o, 5, m in descending order.\nAnswer: 5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 785 divide 932296615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 - 41. Let w be 4\/r + (-15)\/(-35). Is -6\/19 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l + 5. Let b be c(0). Suppose -4*z = -b*a + 4, 0 = 4*z - 2*a - 2 - 6. What is the least common multiple of z and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6532 + 4*m - 52*m + 21*m + 28*m)*(-2*m**2 + 1 - 1) as l*m**2 + p*m**3 + i + j*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12154801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -4*n + 326. What is n rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167695062641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/4348 and 13\/1087.\nAnswer: 4348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 7*b = -39. Let d = b + -10. Suppose -d*a + 81 = -y, 0 = 5*a + 4*y - 78 - 74. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 983*w - 541*w - 561*w - 4998 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 810 - -43?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270 - 243 = -3*j. Let m be j\/36 + 2\/16*-326. Let i = -3\/4 + 1. What is the third smallest value in i, 5\/2, m?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-1 + (4 - 2)). Let m = 714 - 711. Solve -n + m = w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -14. Let n = 3.4 + -3.9. Which is the smallest value?  (a) p  (b) n  (c) -5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 369977*w**2 + 4*w - 482432 wrt w.\nAnswer: 739954*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (8 + 4 + -7)) + 6 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {v: 2, w: 1, e: 6, p: 7, j: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62 + 42. Let m = 33 + c. What is the remainder when 49 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4686541 is divided by 462.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**2*f**2*n - a**2*n - 2*a*f**2*n - 13*a*f**2 - 2*a*f + 8*n wrt f?\nAnswer: 2*a**2*n - 4*a*n - 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-616)\/(138\/(-33) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -0.06  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7160 = -535*w + 539*w + 2*j, 0 = -2*w - 5*j + 3564. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 10*n**3 + 11*n**2 - 6*n - 11. Let t(d) be the first derivative of -2\/3*d**3 - 1\/2*d**4 + 2*d + 1\/2*d**2 - 2. Calculate 2*c(h) + 11*t(h).\nAnswer: -2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 3:59 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 k when four letters picked without replacement from {r: 6, l: 4, k: 4}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*s + 8*s - 90*s - 25*s to the form m*s + c and give m.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -129.136783 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17649132 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppiippipppi. Give prob of sequence pppi.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*p**2 - 6945740*p - 2315248.\nAnswer: 4*(p - 578812)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 777*f**3 + 762*f**3 - 1605*f**3.\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -3*p**2\/8 + 78843*p\/8 - 78831\/2 = 0.\nAnswer: 4, 26277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 92 - 88. Suppose 2*n - 2*i - 17 = -1, m*n + 5*i - 23 = 0. Let w(p) = -5*p**2 + 3*p + 7. Let b(c) = -11*c**2 + 7*c + 15. Calculate n*w(x) - 3*b(x).\nAnswer: -2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12090 is divided by 12079?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**5\/13 - 2*x**4\/13 - 4*x**3\/13.\nAnswer: 2*x**3*(x - 2)*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -412, -414, -416?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-4))\/((-61)\/(-976))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 486 + 3?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*u + 4 = 0, -2*g - 2*g - 3*u = -2. Suppose 24 = 6*v - g*v. Solve -3*j - v - 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 4*k**2 + k + 1. Let o be r(-1). Let t be o\/(-18) + (-549)\/81. Which is smaller: t or -55\/7?\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 3*h**2 + h. Let z(y) = -3*y**3 - 10*y**2 - 3*y + 3. Let x be z(-3). Give d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 - (5 + 52 + -21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -137*c - 47. Calculate w(-3).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5645566 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -8*b - 217. Let u = 84 - 41. Calculate the remainder when u is divided by v(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343)*2*2 + ((sqrt(343) + -4)*-6 - sqrt(343) - sqrt(343)))**2.\nAnswer: -1344*sqrt(7) + 6064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2. Let j = -45 + 52. Let u(k) = -3*k - 6*k + j*k. What is x(u(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1339 + -1329. Suppose 4*r - 52 - 52 = -4*o, 0 = 2*r - 2*o - 68. Calculate the greatest common factor of h and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/7 and 5\/12659?\nAnswer: 88613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 53*g**4 - 5*g**2 + 2 + 12*g**2 - 13*g**2 wrt g?\nAnswer: 1272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 6485112  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**21)\/n)\/(n\/(n\/(n**(1\/13)*n)))*(n\/n**(1\/34))\/(n**(8\/9)\/n) assuming n is positive.\nAnswer: n**(-83519\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55*c**2 + 30*c.\nAnswer: -5*c*(11*c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 472, 6, 14, 3, 1, 4, 0 in decreasing order.\nAnswer: 472, 14, 6, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*a + 777 = 23*a. Let m = 59 + a. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-37*x**2 - 1 - 4 + 1)*(3*x - 2*x**2 - 3*x) - 2*x**4 + 4*x**4 + 4*x**4 to the form l + k*x**2 + m*x**4 + w*x + d*x**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-13 + 5 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1095717\/152185 - -3\/30437. Solve 78\/5*v - 58\/5*v**2 + 18\/5*v**3 - o - 2\/5*v**4 = 0 for v.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 - -1)\/(6\/4). Suppose 5*v - 14 = 6. Solve 0 = d*k - 3*u - 22, -v*u = -2*k - 0*u + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of -7*m**4\/6 + m**3 - 283*m**2\/2 - 2*m + 52. Find the first derivative of v(i) wrt i.\nAnswer: -28*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -52*k - 20*k + 161 + 271. Solve -2*v - 3 = p, k*v + 3*p + 2 = 7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53231438.\nAnswer: 2, 13, 223, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 180017 (base 9) in base 12?\nAnswer: 54681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -4*u**2 + 4*u**2 + u**3 + 3*u**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-3*o + 3*o + o**3) + 275*o**3 + o**3 - 32505*o + 32505*o.\nAnswer: 278*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2\/2 + 43815768*c - 319970254238304.\nAnswer: -3*(c - 14605256)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.1 - 0.1. Let t(p) be the first derivative of p**4 + p**2 - p + 2. Let z be t(1). Sort 0.3, c, z in descending order.\nAnswer: z, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3\/7 + 264*u**2 - 3702*u\/7 + 1852\/7.\nAnswer: 2*(u - 1)**2*(u + 926)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003899480533 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 268*q**2 - q - 3. Let j be u(-9). Let s = -651283\/30 + j. Find the common denominator of 23\/8 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 3*s + 5. Let r be i(5). Let v = r - -7. What is the least common multiple of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - (-30 + 32) - 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 281555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 29 + 0)*(0*x + 0*x + 8*x).\nAnswer: -368*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t + 10*y - 33 = 11*y, 0 = -4*t + 2*y + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5*c + 6 = 0, -t + 2*t + 3*c = 0. Let b = 7 + t. Is b*2\/(-4)*209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 579585, 1159187, 1738789, 2318391, 2897993?\nAnswer: 3477595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -p + 15, 3*p + 10 = 1. Suppose 2*c - 2 = d. Suppose -c*k - l + 7 = 2*l, -3 = l. Solve 6 - 1 = -5*r, r = -5*v + k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -5*c**3 + 37*c**2 - 51*c + 23. Let f(u) = 3*u**3 - 24*u**2 + 34*u - 15. Let k(h) = 5*b(h) + 8*f(h). Let v be k(-9). Put v, 2, 59 in decreasing order.\nAnswer: 59, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35677, -35676, -35687, -35716, -35769, -35852, -35971?\nAnswer: -36132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5787401 not equal to 23149605\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 281591 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ti when two letters picked without replacement from tifxxbcfbctxcfctxbfx?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 9 + 1)*(-2*u + 0*u + u)*(u**3 - 2*u**2 + u**3 + 3*u**2 + (0 + 4 - 3)*(-2 + 2 - u**3) + 2*u - 2*u - u**3 - 3*u**3 + 2*u**3 - u**3).\nAnswer: -40*u**4 + 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 686943540.\nAnswer: 2, 3, 5, 47, 81199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -15 + 3*z**2 - 7*z**2 + 6*z**2 - 5*z. What are the prime factors of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*l + 124*l = -240. Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of v**2\/2 - 8*v - 9. Let k(s) = 2*s. Calculate x(k(b)).\nAnswer: 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3064 + 3134 + 1 + -177.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + d**2 - 4. Let p = 0 - -2. Suppose -2*v + 10 = 3*k, -p*v + 6*v - 20 = 0. Calculate z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*w**3*x**3 - 159*w**3*x**2 - w**3*x + 124*w**3 - 6*w*x**2 + 520*w*x + 2*x wrt x.\nAnswer: 42*w**3*x - 318*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4452244112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of 6*l**2 + 5*l + 18. Is j(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39 - -43. Let d be (-2)\/(4\/(-9))*(-4)\/(-6). Let o(m) = m**2 - m + 1. Let i be o(1). Which is the nearest to i?  (a) t  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30329 is divided by 978?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483457 + 483037 = 21*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 113759 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-502)\/9 + -1)*1. Let s be 4 - (3415\/(-90) + 4). Let y = l + s. Calculate the common denominator of y and -16\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 27466 = -5*x, -4*n + 27476 = -7*n - 5*x. Let i = 1566 - n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31\/42 - 1\/14. Suppose 322*p - 10 = 317*p. Which is the nearest to 2\/3?  (a) k  (b) -0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**3 - 4*h**3 + 5*h**3 + 0*h**3 - h**3 + 12*h**3 + 0*h + 0*h - h**3 + (-5*h + 3*h + h)*(-4*h**2 - 4*h + 4*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7 + 17 = 0. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 226.33 - 236.33. Which is the smallest value?  (a) 35  (b) -2\/7  (c) 2  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85008 divided by -1932\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + 183. Let u be 0 - (-7)\/(g\/(-6)). Let q = -1.892 + -0.108. What is the smallest value in 4, -5, u, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 22*k + 4. Let y be w(0). Differentiate b**3 - b**y + 208 - 161*b**2 - b**3 + 184*b**2 with respect to b.\nAnswer: -4*b**3 + 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = l - 2*n, 3*l + 5*n + 706 - 685 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1 = 3*z, 0*z - 2*z - 5 = -5*v. Let u = z + 40. Calculate the common denominator of -11\/9 and (3 - -55)*15\/u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 0.2901.\nAnswer: 0.7099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/13 - 80*d\/13 - 792\/13.\nAnswer: -2*(d + 18)*(d + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13247967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**0*j))\/(j*j\/j**9*j))\/((j**(2\/9)*j)\/j)**14 assuming j is positive.\nAnswer: j**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -37 - -41. Let a be ((-28)\/(-8) - r)*-2. What is the tens digit of 57 - (a - -5 - (-24)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1731*c + 1772*c = i + 79, 0*c - 4 = -4*c + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -2 - 0. Let f(l) = -3*l - 10*l + 12 + 2*l**m + 15*l. Is 16 a factor of f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, c: 11}. What is prob of picking 1 i and 3 c?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2127375342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*x - 6. Let d(z) = -z**3 - z**3 - 6 - 7*z + 5*z**2 + 3*z**x. Let l be d(-6). Is 1\/2 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -665377376?\nAnswer: 665377376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51 - -51. Suppose l = -2*u - g + 5*g + 10, 2*u - 16 = -2*g. Let q be (6\/u)\/((-9)\/(315\/(-10))). Solve -2*t - q = -t + r, 0 = t + 3*r + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 1507 + 1998. Suppose -2*s - 51 + n = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l + 49. Calculate p(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11320830, -11320823, -11320814, -11320803, -11320790, -11320775, -11320758?\n\"Answer: x**2 + 4*x - 11320835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 735252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**2 - q**2 + 0*q**2)*(-4*q**3 + 41*q**2 + 70*q**2 - 241*q**2).\nAnswer: -8*q**5 - 260*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x + 4. What is z(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83 (base 14) to base 15.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**3*o**3 + 2*c**3*o + 482*c**2*o**2 + 26*c*o**3 - c*o + 460626*c wrt o?\nAnswer: 6*c**3*o + 964*c**2 + 156*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 61*n**2 - 7*n + 8. List the prime factors of j(1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 2*h + 8. Let p(c) = -c**2 - 3*c + 7. Let d(i) = 4*p(i) - 3*s(i). List the prime factors of d(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10*(-7)\/105)\/(4\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 81727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i + 17. Determine x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*k = -33, 8*o - 10*o + 5*k + 54 = 0. Let i(n) = n**2 - 18*n + 8 + 7 + 4. Let x be i(o). Solve 2*v = -x*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -369 + 437. What is the greatest common factor of 16 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 54485, 102325, 150153, 197963, 245749, 293505, 341225?\n\"Answer: -x**3 + 47847*x + 6639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11029 and 39261088?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53795*j**3*t - j**2*t - 27*j**2 - 214*j*t + 2*t wrt j?\nAnswer: -322770*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3653651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -5*i**2 - 6376*i + 38310. Determine j(6).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 749 + 5586*x + 757 - 1506 to the form y + a*x and give a.\nAnswer: 5586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/9, 1, -7, 0.4, 1\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/5, 0.02, -1\/4, -1.36 in descending order.\nAnswer: 0.02, -1\/4, -4\/5, -1.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 11001011012?\nAnswer: -11001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 3:39 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 12 = -0*v. Let k = 0 + v. What is the common denominator of 97\/12 and (1\/5)\/(k\/(-186))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, n: 8, m: 3, b: 2}. Give prob of sequence nmj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 9:29 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**2 - 3*g - 1. Let r be t(3). Suppose -2*m - r = 2*u - 7*m, 3*u + 2*m = -16. Let n = -3 - u. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/4 + 39*p**2.\nAnswer: -3*p**2*(p - 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 6530 divide 3852742388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -71 or -2620?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/18 and 3\/170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-115)\/(-60)*580\/(-1334)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 11:21 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 2:20 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -w - 4. Differentiate -3 + 3 - g**4 - 1 + w*g**4 with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57691 - 28867. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -49  (b) -0.4  (c) -4  (d) -0.055  (e) -12.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73097?\nAnswer: 67, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 5298*w - 26487. Calculate i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**2 + 10*p - 5. Let b be w(4). Suppose -5*j + 135 = -3*f - 3*j, b*f = -2*j - 147. Let y = -27 - f. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 376 + -259. Let c = 171 - y. Let g = c - 1. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + d - t - 6 = 0, -4*t - 4 = 0. Let s = -994 - -988. Sort 3, s, 4, d in increasing order.\nAnswer: s, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 91*c**2 - 132*c**2 + 2*c - 1 - 114*c**2 + 1 to o*c**2 + f*c + h and give o.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, -1\/4, 1, 2\/7, -1\/2 in increasing order.\nAnswer: -1\/2, -1\/4, 2\/7, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9  (b) 0.2  (c) -1284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16511 and 71557173.\nAnswer: 787128903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(180\/8) + 4\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 3. Suppose -2*z - z = -y - s, 5*z + 4*y - 5 = 0. Let b be ((-1)\/(-2))\/(-7 - 105\/(-14)). Calculate the highest common divisor of b and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9206775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.12, -12 in ascending order.\nAnswer: -12, -0.12, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -255 divided by -175?\nAnswer: 51\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8390980 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.19 + -2.08. Let b = j - -1.99. Put -7, 1\/6, b in ascending order.\nAnswer: -7, b, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10025 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34722 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 3*w + 13, -2 - 3 = -5*d - 5*w. Solve 2*u = -0*u - d*j + 14, -2*u + 3*j - 18 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 3*c - 12, c + 5*y - 2 = 2. Suppose -r = -c*k - 40 + 11, -4*r + 80 = -4*k. Suppose -5*p + r = -3. Solve 3*m - p = -2*l - 16, 2*l = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sws when three letters picked without replacement from {s: 4, w: 3, i: 1, v: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p**2 + p**2 - 186*p - 768*p + 68*p + 2*p**2 to t*p + a*p**2 + c and give t.\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -10 - 2 + 9 - 1 - 3*q - 4*q. Let a(w) = w + 1. Suppose 4 = 4*l - 5*l. Determine l*a(g) - h(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*v**4 + 483*v**3 + 174*v**2 - 2 wrt v.\nAnswer: -48*v + 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y + 118. Let h = -8504 - -8484. Determine r(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 4*w - 36, -2*j + 3 + 0 = -w. Suppose 0 = -j*b + 6*b - 4. Suppose 5*q = -25, -5*z + b*q = 5 - 0. Put 3, 4, -24, z in decreasing order.\nAnswer: 4, 3, z, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.4 + -6.385. Let k = -24 - -23.915. Let p = k - m. Is 2\/107 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s + 10 - 21 + 10 - 9*s**2 + s**2. Let h be 3*((-3)\/(-18) + (-10)\/(-12)). Suppose -8*r - 14 = 4*d - h*r, 5*d + 11 = -3*r. Give l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (405\/(-540))\/(12\/8)*(-1 + 3)*49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 12. Let k be (-2195)\/(-35)*-1 + 2\/(-7). Let p = 140 + k. What is the highest common divisor of z and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ihli when four letters picked without replacement from zhzclzzziccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -5*p - 4*p - 26 + 9*p + 61 - 2*p. Let m be z(20). Let y(w) = -w**2 - w + 5. Determine y(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**3 + f**3 + 6*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c = -96*c - 1320 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*n + 0 + 0)*(-2*n + 2 - 2) + 2*n**2 + 0 + 0 + 4*n**2 + 3*n**2 - 4*n**2 to y*n**2 + p + k*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z + 1. Let y(u) = 7. Give 4*o(j) - y(j).\nAnswer: 8*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 4*b + 8, -3*i = 5*b - 1 - 9. Suppose r - 4 = 1. Solve -r = -i*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2 - 1. Let r(v) = v**2 - 1. Let d(u) = 4*j(u) - 7*r(u). Let x(b) be the first derivative of d(b). Let k(m) = -7*m**2. Determine x(k(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51160 by -3.\nAnswer: 51160\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 27. Let p(n) = -n**2 - 9*n - 1. What is the least common multiple of (4\/(-6))\/((-4)\/(-3))*-14 and p(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -122*a**2*s**2*y**2 - 16*a**2*s*y**3 + 3*a**2 + 1007*s**2*y**3 - 6*s**2 - s*y**2 wrt y?\nAnswer: -96*a**2*s + 6042*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5162 - 15484\/3. Which is the biggest value?  (a) -0.026  (b) 1\/5  (c) -0.1  (d) -3  (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/6 + 218*i\/3 - 23762\/3.\nAnswer: -(i - 218)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 741*k**3 + 5*k**2 - 5*k + 6. Let v(s) = -2224*s**3 - 14*s**2 + 14*s - 16. Give 5*v(q) + 14*w(q).\nAnswer: -746*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 0, -1\/9, 0.9, -872?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**5\/9 - 4*k**4\/9 + 2*k**3 + 4*k**2\/9 - 16*k\/9 = 0. Calculate k.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24417 is divided by 1356.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -60 - 40. Sort -0.5, g, -2, -0.2 in decreasing order.\nAnswer: -0.2, -0.5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2092 divided by -523\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 269 + -262. Let u(b) = -b**3 + 6*b**2 + 6*b + 5. Give u(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 110, -18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 0.9. Let n = -5.02 + 0.02. Let p = -4 + 4.5. Which is the second smallest value?  (a) w  (b) p  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 6*f - 3. Let z be m(6). Let j be ((-1)\/z)\/(7\/9). Let q be -1*(-4)\/(-12)*-12. Which is the closest to -1\/3?  (a) j  (b) q  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**8\/j))\/j*j**(-28))\/((((j**(-33)\/j)\/j)\/j)\/((j\/(j*j**(5\/13)\/j*j*j)*j)\/j)) assuming j is positive.\nAnswer: j**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**5 - j**4 - 1. Let v(x) = -18*x**2 + 6*x**4 - 3*x**5 + 2 + 27*x - 21 - 12*x**3 + 23. Let z(r) = -4*g(r) - v(r). Determine t so that z(t) = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 430531 + -1?\nAnswer: 430530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 288 - 286. Let b(h) = -h**2 - 3 + 4 - v*h + 5 - 5. What is b(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 10861065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lkkkdlcddclkccl. Give prob of sequence ckld.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 16 - 29 - 80*w - w**2 - 2*w**2.\nAnswer: -3*w**2 - 80*w - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 1)*(-4*o + 2*o + 3*o + (-5 + 3 + 3)*(7*o - 2*o - 3*o) + 4*o - o - o - 2*o - o + 4*o).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - -32)*2\/3. Suppose 3*m + m - 20 = 3*o, -3*m = -4*o - p. What is the first derivative of -5*n**3 + 5*n**3 - m - 2*n**4 wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 11176736.\nAnswer: 1\/11176736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 + 5*l - 9. Let j be s(-7). Let i(b) = b**2 - 15*b - 15. Let n be i(16). Let v(u) = n + 23*u**3 + j - 7*u**2 - 24*u**3 - 3*u. What is v(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 152 + 6*o + 285 + 2*o + 10*o - 16*o to the form z + k*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 175132\/228201 - -7\/2623. Let w = j - 3\/29. Let f = -59\/52 + 18\/13. Which is the smallest value?  (a) w  (b) f  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -4)\/(-1 + -1). Suppose d = -0*h + 5*h. Let k(u) = u**2 + u. Let j be k(h). Solve -2*n + 3*r - 1 + 3 = 0, -2*n + 2*r + 2 = j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6480*u**4 + 360*u**3 + 6475*u**2 - 360*u + 5 = 0. What is u?\nAnswer: -1, 1\/36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 81*z**4 + 5*z**3 + 1 + 52*z**4 + 10*z**3 - 13*z**3 - 40*z**4 to y*z**2 + o*z**3 + n*z**4 + l*z + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**2 - 15*r**2 + 23*r**2 - 5*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 10*x - 395. Let v(m) = 2*m - 2. Give d(w) + 5*v(w).\nAnswer: w**2 - 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -1) + -2 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2639 times 47.95?\nAnswer: 126540.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g + 6*g - 127*g**3 + g.\nAnswer: -127*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -377*v + 3885 + 3832 + 6280 = 3818 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 3557515\nAnswer: -1\/711503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23.02 + -5.02. Which is the second smallest value?  (a) 6  (b) x  (c) 2  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*s**3*u**2 + 253*s**3 - 20713*s**2 + 1192*s*u**2 - 2*s*u - 159*s wrt s.\nAnswer: -24*s*u**2 + 1518*s - 41426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -6465*q**2 - 276*q - 4. Let a be g(6). What is a rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2 = 3*l - 71, -2*m - 5*l = -47. Suppose -17*f + 2 = -m*f. Find the second derivative of -5*o**3 + 9*o - 2*o - o - f*o wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -316.0293 + 0.0293. Let q = x - -292.9. Let u = -28 - q. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-1\/13))\/u*u**(1\/6))\/(u**(2\/7)\/u)**(-34))**(2\/7) assuming u is positive.\nAnswer: u**(-13127\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1438 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*v - 392 - 19*v - 30*v + 3 - 3 + 2*v + (2*v + 0*v - 3*v)*(2 - 2 - 1).\nAnswer: 4*v - 392","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5, y: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1011060 and 552110.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {s: 4, l: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2920639.066656 - 1829655.06165537. Let d = 1090984 - h. Let r = d + 0.005. What is r rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + (48 - 6)\/(-7). Let x = -2 + 2. Let b = 0 + x. Sort 2, r, b in decreasing order.\nAnswer: 2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2 + 20. Let n = -0.87 + 0.47. Which is the nearest to x?  (a) n  (b) -5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21826 = r + 3*r - i, -4*r + 5*i = -21818. Let h = -3503 + r. Suppose -10*p = -h + 784. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 530.9067 decades?\nAnswer: 5309.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 5*f + 5 = 0. Calculate the remainder when 45 is divided by 1 - f - (-84)\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 520*o - 3602728 - 9087168 = -172*o. What are the prime factors of o?\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.522 + -43.522. Let b = -251.4 + 208.42. Let r = b - u. Round r to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002528572 to 5 decimal places.\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1452787475 to the power of 1\/2, to the nearest integer?\nAnswer: 38115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-30) + 98\/10. Let g = -5 + m. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8 - 301\/(-35))*(3276 - 1) a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 3:34 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(1\/2)*r)**(-27))**(-6) assuming r is positive.\nAnswer: r**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, -4, -15, -32, -55?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7698 + 438*z**3 - 434*z**3 + 4000*z + 3448 - 3622 - 524*z**2 = 0. What is z?\nAnswer: 4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-4) + 4\/20*10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-48))\/d)\/d*d*d\/(d\/(d**19\/d))*d*d\/d**(1\/9)*d*d*d**(-7\/5) assuming d is positive.\nAnswer: d**(-1238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -462*g + 3 - 140*g + 173*g - 5 - 214*g as l + x*g and give x.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -6, 15, -676, 3, -1 in decreasing order.\nAnswer: 15, 6, 3, -1, -6, -676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nlnxxh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 - 66*a**2 + 124*a.\nAnswer: 2*a*(a - 31)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28.81 * -5999.\nAnswer: -172831.19","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -98 or -884\/9?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**5\/5 - 214*a**4\/5 - 11659*a**3\/5 - 22258*a**2\/5 + 2332*a + 22472\/5 = 0. Calculate a.\nAnswer: -106, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -651, 2, 3\/7, -4, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1276, 1076, 3426, 5774, 8120?\nAnswer: 10464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/3  (b) 0.4  (c) 1  (d) -15\/23  (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 290, 2451, 8328, 19781, 38670?\n\"Answer: 310*p**3 - 2*p**2 - 3*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {d: 1, g: 14, t: 5}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/3  (b) 3  (c) -529\/21  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 103260602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**4 - d**4 + 3*d**4)*(-3 + 3 - 2) - 111*d**4 + 94*d**4 - 87*d**4.\nAnswer: -102*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -195*w - 4. Let j(a) = 193*a + 3. Give -4*j(k) - 3*y(k).\nAnswer: -187*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 459 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 106*a**4*i*k**2 - 105*a**2*i*k**2 + 37613*i*k**2 + i wrt a.\nAnswer: 424*a**3*i*k**2 - 210*a*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/(-8))\/(117\/(-24)). What is the second biggest value in 4, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 1 - 1)*(h**2 + 4*h**2 - 3*h**2 + (-7*h + 2*h + 3*h)*(-2*h + 0*h + 3*h) + h - h - 2*h**2 + 3 - 3 + 5*h**2).\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-1*(sqrt(65) + -3*sqrt(65)))\/(sqrt(320) - (sqrt(320) - (sqrt(320) + -4*sqrt(320)*3))).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00873049 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -320, -1011, -2066, -3485, -5268, -7415?\nAnswer: -9926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3823*s - 4180 = 4203*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 72404, 144382, 216360, 288338, 360316?\n\"Answer: 71978*g + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**3 + 3*z**2 - 3*z**2 + (-4*z**2 + 0 + 0)*(2 - 2 + 3*z) + z**3 + 4*z**3 - 2*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -145496843*f**2 - 60104*f - 601 wrt f?\nAnswer: -290993686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010 + -10001010011101?\nAnswer: -10001010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxfxxsjkx. Give prob of picking 1 x and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of 4\/3*s**3 + 0*s**5 + 0*s**4 + 2*s**2 + 13\/120*s**6 + 0*s + 0. What is the first derivative of r(d) wrt d?\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/7, -8\/5, -1\/210?\nAnswer: -1\/210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of 0*k**5 - 1\/120*k**6 + 0 + 0*k**3 + 0*k + 0*k**4 + 1\/210*k**7 - 5*k**2. Factor u(r).\nAnswer: r**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*a + 96 = 64*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j**2 + 108*j + 3. Let r(z) = -6*z**2 + 3*z + 1. Calculate l(p) - 2*r(p).\nAnswer: 10*p**2 + 102*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 16 - 8 = -4*j, h = j - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**3\/2 + 14*l**2 + 169*l\/2 - 99 = 0.\nAnswer: -18, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t = 8*t + 6. Suppose -5*d = k - 69, -69 = -k + 5*d - t*d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 5077305.\nAnswer: 5077305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (45\/5)\/(0 + 18\/12). Solve -4*x + 2*m = -8, x - 4*m = l + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -56.4 + -2.6. Let v = 55 + h. Which is the closest to -0.2?  (a) 1\/2  (b) -0.5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 239\/6 - 40. Let d = 690 + -691. Which is the nearest to 0?  (a) d  (b) 3\/4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*q - 12*q + 18*q - 2*q**2 wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*a - 50*a + 6. Let h be -9 + 2 + 6 - a. Let l = 0.01 - -0.39. What is the second smallest value in -4, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i + 25. Let f = 15 + -4. Let t be n(f). Let 0*u**t + 5*u - u**3 + 3*u**2 + 9*u - 10*u = 0. What is u?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5539 = -40*p + 12*p. Calculate the remainder when p is divided by 0 + 96\/9*3.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 779880, 779883, 779888, 779895, 779904, 779915?\nAnswer: 779928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 9*b**2 - b - 6. Let z = 8 + -17. Let q be n(z). Suppose 2*v - q = 4*w + 25, -v - w = -23. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, -0.3, -8\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 - 3\/(2\/(-8)*2). Suppose u - 126 = -m*x, -126 = -3*x - 0*x - 3*u. What is the smallest common multiple of x and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 10*i**2 - 4*i**3 - 4*i + 19 - 3 + 3*i**3. Suppose -35*f + 40*f = 3*c + 50, f = 3*c + 22. What is the hundreds digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5557 - 1538309.29?\nAnswer: -1543866.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + 0. Let q = w - 9. Let b = -1 - q. Solve l = b*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.9 and -908?\nAnswer: 817.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27.136 + -28.1. Let b = 20 + -20.036. Let q = b + n. Put 0.2, 3, 2\/9, q in descending order.\nAnswer: 3, 2\/9, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10942679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076390 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14654 - -222?\nAnswer: -14432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 4*q + 5, 13 = 5*x - 0*x - 2*q. Suppose -w + 15 = 2*w. Solve x*n + 4*t - 16 = 5*n, 4*n - w*t = -26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.17 and 0.06.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -86*d - 4. Is y(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 257850 = 70*j. List the prime factors of j.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54392, 108964, 163728, 218696, 273880, 329292?\nAnswer: 384944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (108\/(-24))\/((-10)\/(-12)*(-6)\/60)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 65 and 41395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, -8225, -100 in ascending order.\nAnswer: -8225, -100, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*c**3 - 10*c**3 - 3*c**3 - 4*c**3.\nAnswer: -76*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 376.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -327.504 - -327. Let c = j - -1.504. Let m = 1 + 0. What is the closest to c in m, 4, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0, 0.2, 2\/7, -106?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**3 + 3*g**3 - 5*g**3)*(-1 - 2*g + 1)*(-4*g + 2*g + g) - 59*g**5 + 38*g**5 + 36*g**5.\nAnswer: 17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*o + 9. Let p = 28 + -5. Let g = o + p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of -u**5\/12 + 9*u**2 + u. Let b(g) = -3*g. Determine f(b(t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2194736, 2194724, 2194696, 2194646, 2194568?\n\"Answer: -u**3 - 2*u**2 + u + 2194738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 88165933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-149 + 316*j + 290 - 141)*(-16*j**2 + 6*j - 6*j) to o + i*j**2 + r*j**3 + q*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 45*g**2 + 17*g + 54. What are the prime factors of j(-6)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2960020 = 199*i - 234*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 4*q - 11 = -5*x, 0 = -2*x - 2*q + 8. Suppose -2*y + 3*j + 2831 = 0, 2*j - 5 = -x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/531 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9408 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (7 - (-11 - -21 - 13) - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1749)\/2703*(3 - 20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 13) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 2\/9, -103724?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -514, -623, -712, -769, -782, -739, -628?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*k - 28*k - 48*k - 234 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-222)\/(-60) - (3 + -2 + -1)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, x: 1, c: 1, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/3)\/(313\/(-6573)) - (-4 + -87).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 3262000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -47 - -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is ac + 61?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*l - 288*l + 216*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(137\/136 + 5 + -6). Let z = m + 515. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) + 4 - (sqrt(3) + 0 + sqrt(243)))*5 + (-3*sqrt(3)*-3 - sqrt(3)) + -2 + -3)**2.\nAnswer: -960*sqrt(3) + 3297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 + 3*x - 3*x + (1 - 1 - 2*x)*(-x - 16 + 16) - 6*x**2 - 4 + 2 + 4*x**2.\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.08  (b) -3\/2  (c) -19  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of 7*l**3\/2 - 5*l**2\/2 - 2*l. Calculate the remainder when r(5) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 240 and 129?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 4*p - 2020, -g + 520 = 4*p - 0*p. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6106 + 61119\/10. Calculate the common denominator of 73\/306 and d.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 2*l**2 - 4*l - 1. Suppose 23*v - 12 - 57 = 0. Calculate f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(9072) + -1)*-2 + sqrt(9072))**2 + (-1*sqrt(567)*1*1)**2.\nAnswer: -144*sqrt(7) + 9643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-30)\/12)\/((-10)\/8). Let x(u) = 3*u + 7*u + 4*u - c*u. Give x(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + ((sqrt(637) + -1 + sqrt(637) - sqrt(637))**2 + -2 + (5 + sqrt(637) + -1)**2)*-3*-5.\nAnswer: 630*sqrt(13) + 19333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q*q**1))**(-1\/3)\/(q**(1\/2)\/(q*q**(-1\/6)\/q*q)) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(44)\/(sqrt(16) + sqrt(16)*2) + (3 + sqrt(275)*2 + -3)**2.\nAnswer: 5*sqrt(11)\/6 + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 11:55 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 997.4854mm to meters.\nAnswer: 0.9974854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-175)\/42 - 0) + 5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4369 - -4368.5. Which is the closest to -0.018?  (a) 3  (b) v  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -542861  (c) 113\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -93.64 * -32315\nAnswer: 3025976.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 8:40 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - -2*1*sqrt(136)) + sqrt(136) - 1*(sqrt(136)*1 - sqrt(136)))\/(sqrt(8) + (sqrt(200) - 2*sqrt(200) - sqrt(8)) - -5*(sqrt(8) + 2*sqrt(8))).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-6))\/m**7*(m**(-2\/7))**(1\/50)*(m**(1\/10)\/(m\/m**2))\/(m**4*m**(2\/7)) assuming m is positive.\nAnswer: m**(-5317\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 323 = 423. Is k 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 658 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37.3 - -3.3. Let o = 34 + i. Sort -3, -1, o.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57556 + -14243. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21414 and 463368?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -5*s**6\/6 + 41*s**2\/2 + s + 196. Find the second derivative of h(j) wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*o**5*w + 78*o**3*w**3 - 2*o**2*w**3 + o**2*w**2 - o**2 - 1212*w wrt o.\nAnswer: -1140*o**2*w + 468*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -167590 or -167710?\nAnswer: -167710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -58 - -61. Let q(p) = -k - 2*p**2 + 3 + p**2. Let o(x) = -5*x. Give q(o(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 6*y - 3*b + 3, -3*b = -2*y - 3. Let l = 15 + -66. Let x be (192\/l)\/(-2) + -2. What is the closest to y in -0.4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0.055, 1, -1?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 68, 0, 6856, 15 in descending order.\nAnswer: 6856, 68, 15, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.037+0.03757\nAnswer: 0.07457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + x + 4 = 0, -f - 3*f - 3*x = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 73 or 3390\/47?\nAnswer: 3390\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3517 (base 8) to base 5\nAnswer: 24441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -6 + -2 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of c**6\/120 + c**5\/4 + 2*c**4\/3 + 23*c**3\/6 - 114*c**2 + 18*c - 5. Let q(z) be the first derivative of h(z). Give q(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - s + 9. Let a = -13 + 30. Calculate the remainder when a is divided by g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -111152 - 235?\nAnswer: -111387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, -0.2, -2, -11 in decreasing order.\nAnswer: -0.2, -4\/7, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -4 + 10 + h + 9. Let g be k(-7). Suppose -3*c + g = -1. Sort -4, 1, c in descending order.\nAnswer: c, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (-15 - (-17 + 5) - 13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -5*g + 1. Let y be f(-1). Let t(h) = -h**2 + 7*h - 3. Let u be t(y). Suppose u*c + 3 = -3*v, 2*v + 3*c + 3 = v. Put v, 1, 2 in descending order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 690*s + 204*s + 1275*s.\nAnswer: 2169*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -14053614 divided by 2?\nAnswer: -7026807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -113 - -108. Put -2, -4, k, -1 in ascending order.\nAnswer: k, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18632 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y**(-1)*y)\/y*y)**(-9\/2)\/(y**(-1))**(-30))\/(y*y**(-1)*y**(-6\/5)*(y\/(y\/y**0))**(-35\/3)) assuming y is positive.\nAnswer: y**(-333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4315981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 22*h**3 + 3*h**2 - h + 4. Let w(j) = 21*j**3 + 2*j**2 - j + 3. Calculate -3*i(k) + 4*w(k).\nAnswer: 18*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 7*f**3 - f**2 + 5*f - 7. Let i be h(-11). What is i rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 9*h + 12*h = 0. Suppose 4*d - 2454 + 46 = h. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -53 - -53. Let w(j) be the third derivative of -1\/3*j**3 + j**2 + f*j + 0 + 0*j**4 - 1\/60*j**5. Differentiate w(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 7*n**2 + 3*n - 3. Let p be w(3). Let s be ((-2)\/(-2))\/((-2)\/p). Suppose -2*m = 2*u + 2*m - 14, 0 = -3*u - 4*m + s. Which is smaller: u or 5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0164122608 rounded to 6 dps?\nAnswer: -0.016412","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 6*d + 5 = 0. Let k(f) = -d + 2 + f**3 - f + 0*f + f**2. Let n(u) = -u**4 + 3*u**3 + 3*u**2 - 3*u + 2. Let l(t) = -2*k(t) + n(t). Factor l(o).\nAnswer: -o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-13) - (-474)\/39. Let o be (2 - 52\/30)*b\/8. Which is smaller: o or 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3010422 - -10?\nAnswer: 3010432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2484900 divided by 69025\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**5\/7 - 16*h**4\/7 - 752*h**3\/7 + 448*h**2 - 3168*h\/7 = 0.\nAnswer: -18, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -717 - -28681\/40. Let g(d) be the third derivative of -4*d**2 + 1\/300*d**5 + 0 + 1\/15*d**3 - a*d**4 + 0*d. Solve g(w) = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.4, -5, -6\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -352 (base 9) to base 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1687, 1400, 1113, 826?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2101 + 167. Calculate the highest common divisor of f and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*r + 62. Suppose -13*o + 109 = r. Calculate the smallest common multiple of 8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of v**6\/120 - 3*v**5\/20 - 5*v**4\/8 - 2*v**3 - 2*v**2. Let h(i) = -5*i - 104. Let z be h(-23). List the prime factors of l(z).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25586 and 1529.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 19*a**2 + 2. Let c(r) = 20*r**2 + 3. Let v(p) = 2*c(p) - 3*j(p). Let n(m) = -7*m**2. Give n(v(w)).\nAnswer: -2023*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 1\/3*c**3 + 0*c - c**2 - 1\/120*c**6 + 1\/6*c**4 - 1\/20*c**5 + 0. Determine f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g + 0*g - 2*g**2)*(g + 0*g - 4*g) - 3689*g + 1912*g - 2*g**3 - 2245*g as x*g**3 + c*g + k + v*g**2 and give c.\nAnswer: -4022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 14*m - 9*m. Let f(t) = 11*t**3 - 14*t**m + 77*t + 6*t**2 - 83*t. Let h(c) = -4*c**3 + 5*c**2 - 5*c. Give 5*f(z) - 6*h(z).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p + 2. Give j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3051*x**2 - 11*x**3 - 3051*x**2)*(180 - 177 + 8*x - 20*x).\nAnswer: 132*x**4 - 33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 143 + -22240?\nAnswer: -22064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 162, 153, 138, 117, 90, 57?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4094\/13 - -947\/3. Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30040 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 5*s**2 + 8*s + 4. Let o(v) = 11*v**2 + 16*v + 9. Let n = 862 - 853. Give n*p(c) - 4*o(c).\nAnswer: c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9194 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2970184.\nAnswer: 2, 7, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 0. Suppose 0 = 7*c - g*c - 17. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 28 - (-2 - (9 + 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fmmf when four letters picked without replacement from {m: 3, f: 4, e: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 411 + 359 = -10*v. Let c = v - -144. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 2*b - 4 + (1 - 1 - 1 - 2*b)*(-1 + 1 + 2).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/153, 0.2, -3\/5, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 463625*u - 464252*u - 27588 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11\/344 - -4\/43. Let q(j) be the first derivative of -l*j**4 + 4*j - 3*j**2 + j**3 + 2. Factor q(v).\nAnswer: -(v - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*1.774.\nAnswer: 0.01774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z + 32. Let f be s(6). Let t(w) = -2*w + 4*w + w**2 - w + w - f. Calculate t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31470704129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2657 - -2653. Let k be 3 - 4 - (-8)\/7. Which is the closest to 0.1?  (a) k  (b) r  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 204234493 and 9385?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6313 - 6315. Let f = 6 + -6.4. Which is the closest to -1?  (a) 0.2  (b) f  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7535 - -19590. List the prime factors of u.\nAnswer: 5, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/22 in -3, 2, -4\/9, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -87.1 - -87. What is the biggest value in 1, j, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5887 + -2239. Which is greater: w or 3647?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 7:35 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3535 = p + 1969, 0 = -4*p - 3*z - 22012. What is p rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2096460520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1197 = -5*t + 16403. Suppose -53*x = -63*x + t. What is the greatest common factor of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 0*l**4 - 1\/120*l**6 - 3\/2*l**3 + 0 + 0*l - 1\/60*l**5 + 3*l**2. Determine v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40861 + -75538. Let n be (4 - -9854)*(195\/6)\/(-5). Let k = t - n. Round k to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, -8, -27, -42, -47?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17.044 - 19. Let f = -0.044 + n. Put 5, f, -7 in ascending order.\nAnswer: -7, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = v - 29, -4*r - r + 45 = v. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ourrwuxuuuouuwourxu. Give prob of sequence wxoo.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13668910558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/97 and -7\/10.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17\/1949 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 968490033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 - -31.5. Let i = h - 141.5. Let q = i - -125.941. Round q to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -265, -264, -263, -262?\n\"Answer: j - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/9 + 6442*n\/9.\nAnswer: -2*n*(n - 3221)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17905, 17935, 17963, 17977, 17965, 17915?\nAnswer: 17815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -23. Let y = m + -17. Let j = 6 + y. What is the greatest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25 and 5300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6119 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 4*m - 14 - 23 - m + 26 - 2*m. Let k(d) = -2*d - 6. Let s be k(-6). Give v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 53*s + 48*s - 23 = 0, 4*s = -2*z - 1014 + 986 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h + 28. Calculate p(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 3*z - 23 + 63, -2750*t + 2755*t = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (146\/146)\/(((-50)\/4)\/1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 30 + -494?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -12117614 - 732121\nAnswer: -12849735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 10 = -5*f. Solve -w = -2*n - 4, -4 = -5*n - f*w + w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004545018 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4613 and 2625.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2720 - 7922. Let f = -3682 - i. Round f to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11510 and 5350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9.477 and 58?\nAnswer: 67.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) -1817  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**3*l**3 + 56*d**3*l**2 - 2*d**2*l**3 - 2*d**2*l**2 + 6*d**2*l - 3*d*l**2 - 9728*l**3 wrt l.\nAnswer: -6*d**3 - 12*d**2 - 58368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 3:53 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 28980*r + 86927. Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*o - 22, 0*o + 4*v - 11 = 3*o. Let l be (-2)\/o + 8\/5. Solve 10 = 3*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 9:49 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -2*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117972 is divided by 734?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(27\/4)\/x**29 assuming x is positive.\nAnswer: x**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -772634761 divided by -6?\nAnswer: 772634761\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2242 + 2256. What is the third smallest value in 40, 0.2, x?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h. Let d(g) = 6*g - 13. Let f(l) = -d(l) - 5*j(l). Let t = 24 + -15. List the prime factors of f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**3 - 2*d**2 - 2*d + 8. Let z(r) = -9*r**3 - 11*r**2 - 11*r + 40. Calculate 11*m(q) - 2*z(q).\nAnswer: -4*q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/10)\/(31*116\/8990)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 58\/9 of a day in minutes?\nAnswer: 9280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/6 - 185*g**2\/6 + 3833*g\/3 + 2680.\nAnswer: (g - 120)*(g - 67)*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -193, -399, -246 in increasing order.\nAnswer: -399, -246, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*q + 5463, -13595 = p + 4*p - 5*q. What are the prime factors of 12\/9 + p\/(-9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 11:55 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34142*z**4 + 3*z - 462785 wrt z?\nAnswer: 136568*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -51 + 2*h + 32 + 23. Suppose -4*y - 4*v + 4 = 0, 5*y - 9*v - 29 = -6*v. Calculate the lowest common multiple of y and j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -634\/7, 0.2, 1, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -4b2?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 12:05 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 4*f + 4, -25 = -5*f - 0*f. Let h be 3\/(-6) - (-7)\/c. What is the closest to h in 4, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 1001*h - 11978. Let s be p(12). Solve -2*n - s = -2*b - 14, 40 = -3*n + 5*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -652, -651, -650, -649, -648?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 682, 1339, 1928, 2413, 2758?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 48*o - 20 = 52*o, f - o = 7. Let p = 0.39 - -0.11. Put p, f, 5 in decreasing order.\nAnswer: f, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 3:26 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*m = -35*m + 51*m. Put -3, 71, -1, m in decreasing order.\nAnswer: 71, m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 843.853 rounded to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**5\/2 - 342*j**4 + 696*j**3 + 1368*j**2 - 2760*j = 0.\nAnswer: -230, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 4*y**2 + 6*y. What are the prime factors of x(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1975 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 353 + -351. Which is the smallest value?  (a) t  (b) -4  (c) 1\/22  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.04 - -9.04. Which is the biggest value?  (a) 0.14  (b) -3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of 1\/30*x**5 + 0*x**2 - 21 - 1\/12*x**4 + 0*x - 4\/9*x**3. Factor n(p).\nAnswer: p**2*(p - 4)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((4862\/33)\/17)\/((-4)\/(-30)). What is the highest common factor of h and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -251569706, -503139415, -754709126, -1006278839, -1257848554, -1509418271, -1760987990?\nAnswer: -2012557711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 34*l - 101. Let m be f(9). Suppose 203*k + 14 = m*k. Solve 5 = -4*r - k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -6 + 2 + 0*d + 8*d - 6. Is t(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4, 63, 192, 389, 660, 1011, 1448, 1977?\n\"Answer: c**3 + 25*c**2 - 15*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 12, 0 = 5*u + d - 4*d - 87. Suppose i = -4*i + u. Let g(n) = 3*n**3 + 0 - n**3 - 8*n - 3*n**i + 7*n**2 + 4. Calculate g(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -5*k**2 + 10*k - 113. Let p(x) = -2*x**2 + 4*x - 57. What is 9*p(m) - 4*v(m)?\nAnswer: 2*m**2 - 4*m - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 3:14 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebbebbbbvpepbbeebvbv. Give prob of sequence bb.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 3*p + 4*p)*(-1634 + 812 + 661)*(-4*p**3 - 2*p**3 + 5*p**3)*(0*p - 2*p + 3*p).\nAnswer: 161*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5*sqrt(11))**2 - sqrt(99)*-2.\nAnswer: 6*sqrt(11) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52216.\nAnswer: 2, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 314013 or 314012?\nAnswer: 314012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 6*m - 3. Let i(h) = h**3 + 8*h**2 + 7*h - 4. Let n be i(-7). Let u be p(n). Suppose 346 = 2*k - 4*c, u*c + 692 = 2*k + 2*k. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*j + 2*s, 11 = -42*j + 43*j - 4*s. Suppose -o - 5 = 5*u, 3*u = 5*o + 2 - 33. What is the second biggest value in 3, o, j, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -332835 divided by 5\nAnswer: -66567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/104 and -33\/988?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z + z - 2*z - z**2 - 5 + 5*z. Let b be t(7). Let a(d) = -d**2 + d + 1. Let x(s) = -4*s**2 + 5*s + 5. What is b*a(m) + x(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 324 and 78644844.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205368?\nAnswer: 2, 3, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 8 = 3*y. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 42413013573.\nAnswer: 42413013575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -2\/29  (b) -2\/8673  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d + 6. Let o be h(3). Suppose -11 = -o*t + 4. Let q(v) = v**2 - 7*v + 10. Let b be q(t). Is 7 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396)*-1)\/sqrt(12) - sqrt(264)\/(sqrt(24)\/sqrt(3)))\/((sqrt(1296)*2)\/sqrt(3)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*a + 71 = -31*a + 11 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 2 h, and 1 u when four letters picked without replacement from {w: 3, s: 4, u: 1, h: 2, v: 1, b: 7}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/10)\/(2585\/1880)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 820294.8 minutes to nanoseconds.\nAnswer: 49217688000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -658063, -1316126, -1974189, -2632252, -3290315?\nAnswer: -3948378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/(0 + 6\/(-123))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-40)\/(-4) + -3)*1. Suppose 3*j - v - 77 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.2014442 and -5.296.\nAnswer: -6.4974442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -166796 by -1.\nAnswer: 166796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00007104 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 11662*m + 117. Let k be u(3). Let j = k - 24824. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*t + 32*t + 60 = 5*p, -2*p = 6*t - 24 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**(-12)*(n*n**(6\/7))\/n*n\/(n\/n**(-1\/11))*n*n*n\/n**(-2\/9)*n assuming n is positive.\nAnswer: n**(12466\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-251)\/(-753))\/(((-5)\/620)\/((-9)\/(-12)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2630 + 2680*r - 2630 + 6881*r to the form m*r + f and give m.\nAnswer: 9561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -75 + 524\/7. Let r = 360 + -358. Which is the smallest value?  (a) o  (b) r  (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -808, -8, 2, -1051, -4.\nAnswer: -1051, -808, -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4675073261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 1. Let p(x) = -3*x**2 - 2. Let j be -1 - (6\/(-4))\/(5\/10). Give j*f(c) - p(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*c - 1)*(-3 + 3 - 2*c**2) - c**3 + 3*c**3 - c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w. Suppose -2*h + 4*n - 13 = -5, -4 = -n. Let q(d) = -92*d - 26. Let j(i) = 92*i + 19. Let f(y) = h*j(y) + 3*q(y). Determine f(c(v)).\nAnswer: -184*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1105\/2295)\/(0 + (-10)\/(-72966)). Let n = 3513 - t. Find the common denominator of 43\/45 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8208 - -1236.89463.\nAnswer: 1237.71543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 5916*l - 76905. What is h(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of w**4\/12 - 7*w**3\/6 - 3*w**2 + w - 18. Suppose 0 = -j + 12*x - 17*x - 13, 2*j - 30 = 4*x. What is q(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07236827 to 4 dps.\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -55943951 and 2.\nAnswer: -55943949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 110986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13082725 to the power of 1\/2, to the nearest integer?\nAnswer: 3617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 18*x**2 - 35*x - 258. Determine n(8).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3c (base 16) in base 4?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvkkkgkgvkvggkk. What is prob of picking 2 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, s: 7}. What is prob of picking 1 e and 1 s?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 9*q**2 + 2. Let v be g(9). Let o = 9 + v. Suppose 0 = -4*r - 20, 3 = t + 3*r - o. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 620 = 164*l - 435*l + 9563 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q**3 + 2*q**3 + 2*q**3)*(21*q**2 - 22*q + 22*q) + (-3*q**2 + 6*q**2 - 2*q**2)*(-9*q**3 + 3*q**3 - 5*q**3).\nAnswer: -32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3019023 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*y + 33*y = 432. Suppose -t = -4*t + y. What is the remainder when 59 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 - 52 = 5*n + 4*q - 37, -4*n = -2*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 2) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 12 = 2*c - t, -19 = -4*c - 3*t. Let m(h) = 5 + h - c*h - 1 - h**3 + 7*h**2 - 5*h. Calculate m(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -574, -2296, -5164, -9178, -14338?\n\"Answer: -573*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367532083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 89 = -6*f + 2*f + 71, -3*f + 102 + 20 = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -281 by 116938.\nAnswer: -281\/116938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 3*d - 3. Let s be p(-3). Let q = -0.65 + 1.65. What is the nearest to q in 0.3, 0, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 5*s + 2. Let i be (-3)\/s*2\/(-3). Is i\/3 - (-100)\/12 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2793879, -2793887, -2793895?\n\"Answer: -8*q - 2793871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56631 and 6220191.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1776\/(-1924) + (-22)\/286\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61816 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1125 by -3.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*l + 5*a - 2, 0 = 4*l + 5*a - 31. Suppose 0*j = -l*j + 16. Suppose 3*h - j = 5. Solve -3*y = 3*t, -h*y + 2 = 6*t - 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 84851?\nAnswer: 8485.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 928, 925, 922, 919, 916, 913?\n\"Answer: -3*r + 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 103 + 1216. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from kdkkdkdkkddd.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-5\/6)*r**(-3\/5))\/(r\/r**7*r**(4\/3)\/r*r)*((r**6\/r)\/(r**(-9)*r))**(-38) assuming r is positive.\nAnswer: r**(-14723\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15570 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 936 - 328. Suppose 3*o - x = 5*o - 5*i, -5*o = i + 1466. Let p = -3238\/11 - o. Is p greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eooweeoeoeeeoezea?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4658391 by 57511.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 + 22. Let t = y - -5\/2. Which is the biggest value?  (a) t  (b) 7  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24505895 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 56 + -44. Suppose 0*f + 54 = 3*f. Suppose -33 = -5*z - f. Solve -4*q - 4*w - g = 0, -7*q + w = -z*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2581, -2, 0, 4, 0.4, -5 in decreasing order.\nAnswer: 4, 0.4, 0, -2, -5, -2581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16992 and 1449036.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 9*c + 87. Give p(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 4*d + 958, 4 + 2 = 2*d. Suppose -i*x + 200*x - 1980 = 0. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**3 - 4*l**3 - 2*l**3)*(1 - 2*l + l - l**2 - 2) + 3*l**5 - l**5 - l**5 + 0*l**5 + l**5 + l**5 + (-l - l + l)*(-2*l**4 + 3*l**3 - 3*l**3).\nAnswer: 11*l**5 + 6*l**4 + 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t. Let a(s) be the third derivative of 27*s**5\/40 + 15*s**3\/2 + 5*s**2 + 1. Let x(m) be the first derivative of a(m). What is r(x(o))?\nAnswer: 81*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - 7. Let w be 0\/2 + 1*3. Suppose 4*a - 3*f - 30 = 0, 4*f + 5 = -w. Solve -s*o + 3*o + a = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-5))\/((-1)\/15). What is the remainder when 17 is divided by (-8)\/3*w\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*k**4 + 2417977*k**3 - 98850240*k + 2?\nAnswer: 120*k**2 + 14507862*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.09  (b) 0.61  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 + 83. Let t = c - 50. Let l be (-1)\/(-2*t\/(-8))*-2. Let j(k) = 4*k - 5. What is j(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(23\/5)\/(o\/o**33) assuming o is positive.\nAnswer: o**(183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10576 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1470204907?\nAnswer: 6353, 231419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 15947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -3*n**3 + n**2 + n. Let t(z) = 10*z**3 + 1458*z**2 - 2144*z. Let i(v) = -3*m(v) - t(v). Find the second derivative of i(c) wrt c.\nAnswer: -6*c - 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 414*t - 479*t - 325 + 65 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/((f*f*f\/f**(-4\/5)*f)\/f*f*f*f))\/f**(2\/21))\/((f\/f**1)\/((f**4\/f)\/f)) assuming f is positive.\nAnswer: f**(-409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -3323 not equal to -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*t - 2*t. Suppose 5*d - 133 = 4*j, 2*j - 5*j - t*d = 56. Let w = 20 - j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 19*o - 57. Let k be f(-10). Let w = k - -313. Suppose 6*i - 100 = i. Calculate the lowest common multiple of w and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 50*v**2 + 20*v + 20. Let w(x) be the third derivative of -7*x**5\/60 - x**4\/8 - x**3\/2 - x**2 + 119. Give 3*j(u) + 20*w(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/2*((-12)\/27)\/(320\/(-288)). Which is the closest to s?  (a) 355  (b) -0.5  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 15800115?\nAnswer: 126400920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/3)\/((-3)\/(-27)). Let j be 72\/((-3)\/12*g). Suppose 0 = -y - y - j. Calculate the common denominator of y and 17\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/20 - (1 - -1) - 62\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 5*h - 12. Let m = 92 - 22. Suppose -5*c + h*l - 4*l + m = 0, 0 = 4*c - 4*l - 56. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19955.\nAnswer: 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 191352 divided by 63784?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 24. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -2e?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 + 33. What is the biggest value in -0.5, 5, f, 5\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 3*p. Let q be t(-4). Suppose -2 = q*h - 10, -2*j - 4*h = 8. What are the prime factors of (0 + 2)*(-28)\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-575)\/(-100))\/(2\/40). Calculate the highest common factor of 3105 and x.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 238137, 476282, 714441, 952620, 1190825?\nAnswer: 1429062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 137*s**2 - 268*s**2 + 0 - 2 - 5*s + 132*s**2 + 1. What is q(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -1463*p**6\/120 + 947*p**3\/6 - 1195*p**2. Differentiate q(m) with respect to m.\nAnswer: -4389*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/20)\/(34\/(-10)). Sort -0.3, -2\/5, -0.2, i.\nAnswer: -2\/5, -0.3, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + i = -2*f, 3*f = 2*i - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3903, 6423, 8943, 11463, 13983?\n\"Answer: 2520*d + 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (4 - 13) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 27540, 27534, 27528, 27522?\n\"Answer: -6*g + 27546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9680 is divided by 194?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2661.58079 - -2659.8. What is n rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {m: 2, d: 2, i: 2, w: 5, u: 1, y: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.05 - -0.05. Let m = -11 - -25. Let z be ((-18)\/m - 0) + 1. Which is the nearest to z?  (a) 3  (b) 4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*p - 201, -3*r = -2*r - 3. Let d = -55 - p. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17959 + -15691. Calculate the least common multiple of 45 and c.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13842 + 13851. Let z be (-2827)\/(-2) - (-2 + 5\/2). What is the greatest common factor of x and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 1005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 20*h**2 - 8*h - 11. Let b(d) = -d + 2. Let g be b(-8). Let c be k(g). Suppose -4*v - 653 = -c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 127 - 127. Solve -4*p - 4 = d, 7*h + 6 = 2*h + 4*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -14. Let p be 14 - (5 + f)*-1. What is the third derivative of -5*a**4 - 17 + p - 6*a**2 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 448206280989244818.2 + -448206263037155329.19999831. Let o = -17952089413 + q. Let h = 76 - o. Round h to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-5)*y*y*y\/(y*(y\/(y**1*y*y))\/y)*y**5*y\/((y*y**(-1\/11)*y)\/y)*y*y*((y**(-1)\/y)**(-2\/9))**32 assuming y is positive.\nAnswer: y**(2110\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 4*d - 270. Let b = d - 52. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 4*a + 3. Calculate l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - g + 26 = 0, 4*g - 8 = -6*h + 2*h. What is the tens digit of (3 - (2 - h))*20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 8 = i, i = -0*k - 3*k - 12. Let q be -1 - 1 - (-1 + k). Solve -x = -q + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4512, -4511, -4510, -4509?\n\"Answer: c - 4513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z**2 + 187761*z. Let r(c) = -2*c - 211. Give r(m(y)).\nAnswer: 6*y**2 - 375522*y - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-306)*4356\/(-4840).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03955862 to 3 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 81\/5 <= -6383065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 88039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 3*h = -4, -4*q + 392 = 2*h + 368 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 13783 divided by -1969\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -8. Suppose m*q - 20 = -0*q. Suppose q*i + 377 = 2*z, -230 = -z + 4*i - 43. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**3 - 18320*c**2 - 73345*c - 55020.\nAnswer: 5*(c - 3668)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/8507 + 127661\/238196. Which is the second smallest value?  (a) -1\/9  (b) -1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {i: 2, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110011101 (base 2) in base 7?\nAnswer: -2461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 11:04 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c - 16. Let s be u(-6). Solve -s*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111 - (58 - 275) - 168\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2\/5 + 22056*x\/5 - 30404196\/5.\nAnswer: -4*(x - 2757)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(-2)*(-1 + 2). Is (-3416 - 14\/7)\/(z + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000535586 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/((-2394)\/392)*72\/16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -77.877 * 1.\nAnswer: -77.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -8817, -28841, -60059, -102471, -156077, -220877?\n\"Answer: -5597*i**2 - 3233*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, -0.28, -1.36 in descending order.\nAnswer: -0.28, -0.7, -1.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -224, -5, 214, 433, 652, 871?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**3*u**2*z**3 + 2*g**3*u + 5*g**2*u**2 + 70*g*u*z**2 - 36*u**2*z**3 wrt z.\nAnswer: 12*g**3*u**2 - 216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in 2\/5, 238, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2162*f**2 + 1112*f**2 + 137*f**2 + 826*f**2 - 530*f**2.\nAnswer: 3707*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2111111222 (base 4) to base 5\nAnswer: -124033230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-14))\/(3\/((-2262)\/(-13))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**3 + 18*f**2 + 7*f + 8. Let l(x) = x**3 - 9*x**2 - 4*x - 4. Let q(c) = 4*h(c) + 7*l(c). Let j be q(9). Solve -8 = j*w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**14\/m*m)**(3\/37)\/((m\/(m*m**4*m))\/m**(-5)))**2 assuming m is positive.\nAnswer: m**(84\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 - 56*x**3 + 27 + 7.\nAnswer: -56*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3095 is divided by 97.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1432739 rounded to three decimal places?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v - 29 + 11 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 times 103?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + f + 2)*(6 - 6 - 3*f)*(-2*f**2 + 1829*f - 1829*f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/6 + 350\/84\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*k + 34*k = -37*k + 70 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2*x**5\/5 - 602*x**4\/5 - 31332*x**3 + 160848*x**2\/5 + 943488*x\/5 = 0.\nAnswer: -168, -2, 0, 3, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 + 4*z**4 - 2*z**3 + 5*z**2 + 6*z + 0*z**3 + 35 - 63 - 5*z in the form h*z + g*z**3 + v*z**4 + l*z**2 + j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 42, 39, 32, 21, 6, -13, -36?\n\"Answer: -2*r**2 + 3*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 - -502?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -68955810 rounded to the nearest 100000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 2  (c) -0.2  (d) 3\/10  (e) 0.0097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-8))\/(10\/128676). Let b = -3214 - p. Find the common denominator of 67\/9 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43223*q + 14784*q + 36193*q - 30781*q.\nAnswer: 63419*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 135*s**2 - 4*s - 2. Let l(c) = c**2 - c - 1. Calculate -4*l(w) + u(w).\nAnswer: 131*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/1*(-4420)\/(-5610)*11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5154171585 to the nearest integer?\nAnswer: 71793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3368 + 164*l + 3368 + 77*l.\nAnswer: 241*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-4))**(4\/11) assuming q is positive.\nAnswer: q**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 153\/4  (c) 0.5  (d) -0.1  (e) 0.08  (f) -0.041  (g) -2.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009475368 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 443 is divided by 52.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-11083)\/4*(-30)\/11. Suppose 0 = -4*d - 0*s + 5*s + 30227, -4*d - 5*s = -30197. Let r = v - d. Find the common denominator of 11\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*b - 319, -2*b - 236 = -4*j + 20. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.347835*2.\nAnswer: 0.69567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2504?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -l**5\/8 + 3*l**4\/2 + 61*l**3\/8 + 13*l**2\/2 - 15*l\/2 - 8 = 0.\nAnswer: -2, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.62 + -0.91. Let t = n + 0.09. What is the nearest to 0 in t, -2\/5, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17665839*j + 17531593 wrt j.\nAnswer: 17665839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 6*b + 5 = 0. Solve f + b = 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}