{"text":"Question: Evaluate (396\/(-8))\/9*((-1900)\/220)\/19.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-8))\/((-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 4. Let u(f) = -3*f - b*f + 0*f. Let h(s) = 4*s**2 + 8. Let x(t) = t**2 + 3. Let l(d) = 3*h(d) - 8*x(d). Give u(l(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -11 times 33.397415\nAnswer: -367.371565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 70\/4 - 5\/(-10). Suppose -r + 15 = 4*d, -4*r - 4*d + 2*d + p = 0. Calculate the smallest common multiple of (-1)\/(-2)*46 - r and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*d**3 - 21*d**3 + 27*d**3 - 4*d**2 - 17*d**4 - 2*d + 5*d**2 - 3 + 1 to g*d + n*d**2 + m*d**4 + f*d**3 + x and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33222302310 - -11?\nAnswer: 33222302321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 57533 or -1970?\nAnswer: 57533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 385089.9 days?\nAnswer: 33271767360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 444421577 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131563.\nAnswer: 17, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/10*2 + 60\/75. Let s(g) = 850*g**2 - 3*g + 2. Is s(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31467471887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (25 + 1)\/((-21)\/(9 - 30)). Solve 5*u = -2*o + 5, o + b = 6*o - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -3724194250.\nAnswer: -3724194250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -16190152*d*m**2 - 15602884*m**2 wrt d?\nAnswer: -16190152*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*z + 126. Suppose -q - 3*h + z = q, -q + 3*h + 54 = 0. What is the highest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pvvvppvvvv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 143323 and 0.01.\nAnswer: 143323.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20243121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in 0.1, -3, -4, 0.02961, -1\/3?\nAnswer: 0.02961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*b - 26*b - 24*b)*(5*b**2 - 4*b**2 - 3*b**2)*(5*b**2 - 3*b**2 - 4*b**2).\nAnswer: -148*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 235\/(-470)*(-6)\/(-10)*(-10)\/(-8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 7*f + 278. Determine d(-16).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 4*j**2 + 3*j + 11. Let a be n(5). Solve 10 - a = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 4*y**3 + 2*y**2 - 4*y + 2. Let i be k(1). Find the second derivative of 137*f**4 - 137*f**i + 15*f**5 + 37*f wrt f.\nAnswer: 300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-4 + 5*(1 + sqrt(612)) + -6*(sqrt(612) + 2*sqrt(612)*-5))*-3)**2.\nAnswer: 38232*sqrt(17) + 115040142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-18)\/48 - (-435)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -900800.\nAnswer: 7\/900800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -625.3*-22766.\nAnswer: 14235579.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -3\/5500, 2 in increasing order.\nAnswer: -2\/11, -3\/5500, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/8  (b) -1  (c) -0.6  (d) 15.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 14*l**3 + 2*l**2 - 2*l. Let t(q) = -q**3 - q**2. Let o(y) = -2*t(y) - w(y). What is the second derivative of o(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -454 and 174.6.\nAnswer: -79268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.7426454 hours?\nAnswer: 2673523.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-26)\/39)\/(0 + (-1)\/3). Let w(z) = z**3 - 2*z**2 - 2*z + 3. Let s(n) = -n**3 + n**2 + n - 1. Determine u*s(m) + w(m).\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y + 961*y**2 + 3*y.\nAnswer: 961*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) -0.2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - t**2 - 2*t - 3. Let o be f(-2). Suppose 7 = -3*c + o*g + 37, 0 = -5*g. Calculate the remainder when 48 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -0.01.\nAnswer: -2, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 643 is divided by 93?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10.5 - -11. Let n(s) = -3*s - 1. Let f be n(-3). Let k(d) = -4*d**3 - d**2 + 3*d - 1. Let h be k(1). Put f, h, w in decreasing order.\nAnswer: f, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11227 divided by 4?\nAnswer: -11227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-8901)\/(-1290) + (2\/50)\/(26\/65)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-15))\/((-49815)\/4428*(-48)\/100)?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -19*g - 126. Let a(u) = -21*u - 138. Let h(x) = -10*a(x) + 11*l(x). What is h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-20454)\/(-56))\/((-12)\/(-400)). Suppose -7832 - u = -27*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -25, 6.\nAnswer: -25, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4220, -3470, -2730, -2006, -1304, -630?\n\"Answer: -x**3 + x**2 + 754*x - 4974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 10, k: 1, b: 7}. What is prob of sequence bb?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/12)\/(((-3)\/2)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001271149 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5480 or -20.3?\nAnswer: 5480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -781 in increasing order.\nAnswer: -781, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 36 = 2*g, 5*y - 284*g = -280*g - 62 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 8*c - 12. Let d be f(4). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*c - 947 = -1246 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -234, 4, 0, -2, -3 in ascending order.\nAnswer: -234, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -20*k**5 - 824*k**4\/3 - 3632*k**3\/3 - 2008*k**2 - 924*k = 0.\nAnswer: -7, -3, -11\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d**3 + d**3 + 0*d**3 + (0*d**2 - 3*d**2 + 4*d**2)*(5*d + 2*d - 3*d) + 0*d**3 - 2*d**3 - 25*d**3 to o*d + i*d**3 + r*d**2 + l and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*n - 2160 = 84*n. What is the lowest common multiple of 192 and n?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -1557*w**4\/4 - 8*w**3\/3 + 20*w + 792. What is the third derivative of n(v) wrt v?\nAnswer: -9342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 12:49 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j - 66. Let u be r(29). Let a(x) = -2 + 5*x + 3*x**2 - 5 + 0*x**2. Is a(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 + 45*p + 546. Calculate d(-25).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2979633249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 929085004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 99 - 33 = 0. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13510 - 13509.68. Put 1\/47, 0, i in descending order.\nAnswer: i, 1\/47, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 74.07 + 222.646.\nAnswer: 296.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49618.918 + -49534. Let d = -85 + b. What is d rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/20 + (585\/(-150) - 24))\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3784689.\nAnswer: 3, 420521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - 10*p**2 + 10*p - 1. Suppose q = 5*q + 44. Let k be l(q). Let r = -7 + k. Sort 5, r, -1 in descending order.\nAnswer: 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5364*v**2*y**4 + 11*v**2*y**2 - 174*v**2 - 6301*v*y wrt y.\nAnswer: -64368*v**2*y**2 + 22*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -263 + 287. What is the highest common factor of 132 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 230 = 3*w + 268, 4*x + 64 = -4*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -6\/217?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7953*w + 8006*w - 1431. What is the greatest common divisor of w and 3897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41708371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 955456 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -33*q - 185. What is h(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r**(-6\/11)\/r)\/r*r)\/(r*r*r**16) assuming r is positive.\nAnswer: r**(-204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(72\/18))\/((-33)\/(-9))*2?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -113070 or -452283\/4?\nAnswer: -113070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 1084208 = -q, 21*r = 24*r - 12. Round q to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -122570380*a**6 + 14*a**2 - 587536*a - 2 wrt a.\nAnswer: -14708445600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159168 is divided by 79581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 22757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3048\/5  (b) -3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2772343723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 4 = -2*t. Suppose -t = -0*c + c - l, 4*c + 10 = 5*l. Suppose -3*j - 191 = -5*j + 5*d, 2*j - 4*d - 194 = c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -19. Let p = -3 + f. Solve 0*k - k = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14*(2\/(-49))\/(72\/168)*918\/72\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 1323480193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 3187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, i: 1}. Give prob of sequence ei.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12250, 24496, 36744, 48994, 61246, 73500?\n\"Answer: n**2 + 12243*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(637)*-2 + -1)*5.\nAnswer: 20 + 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 220 divide 737156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -791*g**3 + 3*g**2 - 3*g + 1. Let i be r(1). What is i rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 0*z + 0*z + 4*z**2 + 0.\nAnswer: 4*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12, 12, 34, 90, 192?\n\"Answer: 2*z**3 - z**2 - 11*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21162092767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3921751501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/4 - 204\/16. Let a be (-4)\/(-10) - n\/5. Solve -3*x - a = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -156582150.\nAnswer: 3\/52194050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-4*(-5*(sqrt(304) - (sqrt(304) + sqrt(304) + -2*sqrt(304))) - (-1 + 0 + sqrt(304))) + -4)**2*-2)*-2.\nAnswer: -6144*sqrt(19) + 700666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6912177?\nAnswer: 3, 2304059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 196.1737l?\nAnswer: 196173.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a. Let n(l) = 20*l + 2. Let p(s) = 483*s + 49. Let t(u) = 49*n(u) - 2*p(u). Let z(o) = -8*d(o) + t(o). Let v(h) = h. Give v(z(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (17 + -34 + 19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**2 + 350*p + 384111 = 0. What is p?\nAnswer: -469, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8693526 by 19.\nAnswer: -457554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**7)**(2\/107))**(-3))**(-3\/4) assuming w is positive.\nAnswer: w**(-27\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 2*g - 4 + (3*g - 2*g + 0*g)*(1 - 4 + 2) - 2*g - g - 2*g + 231 + 7*g - 231 + (5 - 4 + 0)*(5 + 8*g - 5) - 2*g + 2*g + 2*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -4*r - 1576, 5*r + 390 = 4*r + 3*y. Let h = 69 + r. Is -322 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -20013?\nAnswer: -20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 2 + 19 = -2*k, -4*k = 4. Suppose 2*b - b - 73 = 4*u, 4*b = -a*u - 31. Which is greater: -15 or u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5. Suppose -6*o + 3*o = -51. Let l(p) = o - 30 + 19 - p. Give 2*l(i) + 3*x(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -16  (b) 0  (c) -656  (d) 2\/7  (e) -44\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/43 - -193\/301. Which is the second biggest value?  (a) 8\/5  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-11)\/m**5)\/((m\/m**(-3\/17))\/m**(-9)) assuming m is positive.\nAnswer: m**(-445\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -9*p. Let k(r) = -2029*r**2 + 4010*r**2 - 2029*r**2. Determine k(b(c)).\nAnswer: -3888*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3504813 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**2 + 8*d**2 - 30 + 26 - d**2 as l*d + x*d**2 + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 791613?\nAnswer: 3, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b6 - -527?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -80, -156, -232?\n\"Answer: -76*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6775, -13614, -20453?\nAnswer: -27292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 58266, 58273, 58280?\n\"Answer: 7*i + 58259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 15. Let u be n(16). Calculate the remainder when (u\/((-16)\/44))\/(3\/(-12)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.16 - -0.25. What is s rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 105  (b) -0.6  (c) -2992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2462951883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 172929 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 26\/(-8)*(5 - -7). Which is smaller: -36 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9*(0 - 1)*(-539)\/33?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -198\/3581 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -68*-5*4\/16. Let x be 4\/10 + 306\/h. Solve 4*i + 1 = -2*y - y, -5*i = x*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4281239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.522 + -1.222. Let g = -92.7933 - -98.09. Let i = a - g. What is i rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3352 (base 8) in base 12?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 2*i + 4*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2556036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 3 - 6 - (0 + (-27 - -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/241  (b) 0.117  (c) 0.02  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/50)\/(8\/(-6)*(-90)\/160).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -11*v - 62. Let b be p(-6). Let l be (0 + -3 + 2)*-21. Suppose 3*i = -b*i + l. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w + 638 = 2*y + 628, -2 = 5*y + 8 - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -4, 1.4, 0, -456, 4\/3, -8.\nAnswer: -456, -8, -4, 0, 2\/7, 4\/3, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*q + 2*q - 152, -2*z - 114 = -3*q. Suppose 4*f = q - 6. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(11\/4))\/(g\/((g*g**(2\/21)\/g*g)\/g)*g*g*g) assuming g is positive.\nAnswer: g**(-475\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -2.4  (b) -0.5  (c) 16  (d) 0.1  (e) 1703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2881 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - 20. Suppose -2*h - 5*r = 0, -r + 2*r = -y. Is 1949*5\/25*h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84163 - -84361.905. Let f = -199 + x. Round f to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23747959 - -36690594601\/1545. Let c = x - 2\/515. Is c smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from xpxxpxxxxxxppxxxxpp?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 59364\/18139*2\/(-4)*2\/(-24)*-8\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -637 divided by 117566.\nAnswer: -637\/117566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0781 - 617.9219. Which is smaller: -0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (21\/15)\/(19\/1995). Suppose -152*d + 2160 = -z*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.39 - 4.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -21*w - 841. Calculate the smallest common multiple of z(-41) and 592.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 316\/(-52) + 22\/286 - -41\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5805\/86)\/45*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11267737 divided by -184717?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19 + -22. Let n be (6\/c - -2) + -3. Let g be (2\/n*-6)\/2. Solve p + j = g*j, 0 = -4*p - 4*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -769837?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -456460000 rounded to the nearest 1000000?\nAnswer: -456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12748 is divided by 12734?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, g: 2, c: 12, s: 4}. Give prob of picking 1 g and 2 c.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 529 - 184. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 38 + -7. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c**3 + 7*c**2 - 4. Let x(f) = 2*f**3 - 4*f**2 + 2. What is -3*d(q) - 5*x(q)?\nAnswer: -q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 421, -1, 0, -3 in descending order.\nAnswer: 421, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 581540.\nAnswer: 2, 5, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 48527, 98111, 147683, 197237, 246767, 296267, 345731, 395153?\n\"Answer: -i**3 + 49591*i - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + d - 1. Let l(f) = 87*f**2 + 177*f + 18. Let p(x) = -18*k(x) - l(x). Find the second derivative of p(m) wrt m.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*o**3 + 28*o**2 - 7*o**2 - 21*o**2.\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 123024 and 2452791?\nAnswer: 39244656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c - 6. Let r(s) = 1. Let j be 3\/(-2 + 8)*10. Let h(u) = u - 5. Let z be h(6). Determine j*r(w) + z*p(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 5)\/((-8)\/(-8 + 0)). Find the second derivative of -3 - 32*k + 5 + 5*k + 15*k**z + 31*k**4 wrt k.\nAnswer: 552*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 15*b + 17. Let m be f(-14). Suppose 0 = m*o - 5*o + 9738. Suppose -8*p - p + o = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 912*o - 1190*o + 1 - 1 + 892*o in the form b*o + n and give b.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 5*v + 3*v + 3 - v**3 - 4*v - 4*v**2. Let i(q) = 5*q**2 - 5*q - 2. Let g(k) = 5*a(k) + 4*i(k). What is the derivative of g(p) wrt p?\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 177660 divided by 3290\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(133)*1)\/((sqrt(1008) + sqrt(1008)*2)*2).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**2 - q**2 - 29*q**3 + 36*q**3 to u*q + w*q**3 + n*q**2 + k and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1621\/6 + -270. What is the smallest value in j, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -369 or -1\/33?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/6939?\nAnswer: -2\/6939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of i**5\/6 - 7*i**4\/18 - 5*i**3\/9 + 7*i**2\/3 + 19*i. Determine w so that s(w) = 0.\nAnswer: -1, 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198725 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 6*z**2 - 8*z - 4. Let k be v(-7). Let c(l) = l + 2*l**2 - l**2 - 3*l**2 + 5 - 6*l. Let w(y) = -y**2 - 3*y + 3. What is k*c(h) - 5*w(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 + 1. Let f(q) = -q**2 - q - 2. Let k(t) = -f(t) + 2*o(t). Calculate k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 14*s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.3 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*1\/4 + 12\/(-16). Which is the smallest value?  (a) -2\/15  (b) 4  (c) u  (d) -11\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -19, -18, -15, -10?\n\"Answer: m**2 - 2*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 53*c**3 + c**2 - c. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5185 - 60625 = -132*c. List the prime factors of c.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 23227811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v + 33 = -a, 1321*v + 1324*v = -2*a + 2648*v + 9 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7058.492m in micrometers?\nAnswer: 7058492000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 25 + 49 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -9221  (b) -2\/15  (c) -5\/4  (d) 1\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 75054953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1727688529 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -33d50a + -2?\nAnswer: -33d50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1709 - -1708. Sort 4, -4.7, 0.3, c.\nAnswer: -4.7, c, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1667195 is divided by 4117.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*n**(-2)\/n)*n))**(-18))**(2\/43) assuming n is positive.\nAnswer: n**(108\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-60) + (-1)\/(-3). Which is greater: 20 or f?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 28*c**2 + 118*c + 4. What is w(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 3843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2256979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 - 36 = 3*n. Suppose -n*q - 35 = -9*q. Suppose -i = -4*a + 77, -4*a + 63 = 2*i - 23. Solve 3*s = -5*d - s + 2, 0 = -5*d + q*s + a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1295435 is divided by 246.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyybyyyybbbyyyyyyy. Give prob of sequence by.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 993092 to the power of 1\/2, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-11))\/(212\/(-1106534)*-73)\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 1 + (-4 - (2 + -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nqvn when four letters picked without replacement from qnnwvnwnvnnv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 is divided by 123?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(75) + sqrt(75)*1 + -5 + -1 + (1 + sqrt(75))*-4 + 5)**2 + -1)*-4.\nAnswer: -3888 - 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {c: 2, l: 1, w: 9, b: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -9 - ((-3 - 5) + (5 - -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -2\/1161, 65\/19 in ascending order.\nAnswer: -2\/11, -2\/1161, 65\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 136*o**2 - 27*o - 18. What are the prime factors of i(-10)?\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - (-33 + 75 + -43)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 255 a factor of 31875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 4, -24, -2, -445.\nAnswer: -445, -24, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*-2*(-1)\/2. Suppose 45 = 6*w + 69. Sort y, w, -3 in ascending order.\nAnswer: w, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257161?\nAnswer: 257161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 13 = o, 555*o - k = 554*o - 1. Solve -4*c - o*h + 7 = -7*c, 3*c + 1 = -h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -65725?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 152.0982 minus 3650095?\nAnswer: -3649942.9018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -7*h**3\/3 + 23. Let s(r) = 2*r. What is a(s(f))?\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 3c5bd9?\nAnswer: -3c5bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/3)\/((-1170)\/(-29835))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 157*c. Let a be y(2). Suppose 0 = 2*w + a - 2018. Suppose 2*d + w = 6*d - 2*j, 1083 = 5*d + 2*j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q - 33 = 9*q + g, 5*q + 14*g = 11*g + 20 + 35 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1702 + -1?\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 3*w + 1085. Suppose -5*n - 4*q - w = -7*q, -4*n = 2*q + 156. Let k = -26 - n. What is the remainder when 28 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 6\/11, 0.085?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + q = 3*q - 76, -3*k + 30 = -4*q. Solve -4*i + 30 - 10 = 4*g, -4*i + k = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**4 - 40*g**3 + 45*g**2.\nAnswer: -5*g**2*(g - 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 403 a factor of 820923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 4)*(2*y + 12 + 8 - 24).\nAnswer: 4*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 + j**3 - 3*j**3 + (-3*j**2 + j**3 + 3*j**2)*(-1 - 5 + 4) + 152*j**3 + 147*j**3 - 55*j**3)*(-j - 2 + 2)*(-3*j + 4*j + j).\nAnswer: -482*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-99)\/(-22) - (-1)\/(-2). Let h = 13 + -13. Suppose g - 1 = -h*g. Sort g, m, 3 in decreasing order.\nAnswer: m, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1f - -1?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (11 - (3 - 1))*-1. Let z be (-21)\/h + (-18)\/(-27). Solve -x + 4*q = -6, x = z*x - 5*q - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 105 and 2244.\nAnswer: 78540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 195816579 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -60781629 smaller than -60781629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/11 + 560\/(-176). Let t be ((-2)\/3 - (-223)\/u) + 2. What is t rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 6, 0.3, -2, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-52)\/65*-2*-5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*d + 10, 3*s + 0*s + 2*d - 14 = 0. Let c(b) = -s + b - 3 + 11*b**2 + 2*b**2. Let f(n) = -6*n**2 + 2. Let l(t) = -4*c(t) - 9*f(t). Factor l(o).\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 + -33. Which is the smallest value?  (a) -2  (b) l  (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -2939, -2, 0, -1\/11 in descending order.\nAnswer: 0, -1\/11, -0.3, -2, -2939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*h = 81*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 291.9 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*d**2*h**2*l - 27*d**2*l - 16*d*l + 3*h**2 + 2*h*l wrt d.\nAnswer: -16*h**2*l - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -587964\nAnswer: -58796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 11:15 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of 15*v**2 + 1\/2*v**3 + 0*v + 1\/8*v**4 + 0. Suppose 3*j - 22 = -5*s, -j - 3*j - 29 = -5*s. Determine y(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(35)*-1)\/sqrt(7)*5 - (-1 + sqrt(15)\/sqrt(12))) + 3.\nAnswer: -33*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2132670305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 2*m**5\/15 - m**4\/2 - 8*m**3\/3 + 12. Let b(q) be the third derivative of s(q). Let t(x) = -x + 1. Give -b(f) - 12*t(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156*f + 160*f = -m + 28, 0 = 5*m + 2*f + 22. Let t = -11 - -16. Put t, m, 2 in decreasing order.\nAnswer: t, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g**2 - 12*g. What is the tens digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 4*v**2 + 6*v + 2. Let t = 44 - 42. Let b(c) = -2*c**2 + 19*c - 2. Let k(f) = -f**2 + 11*f - 1. Let z(i) = -4*b(i) + 7*k(i). Give t*z(a) - g(a).\nAnswer: -2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {q: 15, s: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1432 (base 14) to base 4\nAnswer: -313310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -72*n**2 - 616*n - 572. Let r(h) = -13*h**2 - 112*h - 104. Let y(j) = 5*f(j) - 28*r(j). Let y(z) = 0. Calculate z.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 8 + 2. Let q be -1 - -1*113 - 0\/k. Suppose -4*b - q = -468. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-2)*d))**(1\/24)\/(d**(-2))**(2\/47) assuming d is positive.\nAnswer: d**(143\/1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 5) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -19*t**2. Let i(p) = 13*p. Calculate i(j(k)).\nAnswer: -247*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 0 + 0)*(5*p**4 - 131*p**4 + 2*p**4).\nAnswer: 124*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1050 + -2?\nAnswer: 104d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 4, b = -4*l + 250 + 348. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38*(-39)\/2223 + 116\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 55, 128, 231?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -48, 4.\nAnswer: -48, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 6) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -2\/81973  (b) -76  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, r: 1, b: 1}. What is prob of picking 1 r and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, n: 1, b: 1, g: 1}. What is prob of sequence bl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12082 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 x be 40806\/(-81) + (-2)\/(-18)*-2. Find the common denominator of (x\/40)\/((-279)\/30) and -58\/7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49698288 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1051 + 1810. Let y = 1479 - n. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4490 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.015  (b) -5  (c) -5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 80 = -3*g - 9*r, 3*r - 276 = -12*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from jsgjngnnngnsnsnnn?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + -10. Let p be (-54 - -1)*v\/3. Let o = 44 - p. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 7*w. Let v(q) be the first derivative of -7*q**2\/2 + 5. Let l(j) = -5*u(j) - 4*v(j). Let y(x) = -2*x. Determine l(y(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-291)\/(-6) + 7\/(-14). Let t = o + -18. What is the greatest common divisor of t and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -191 - -124. Let u = d - -67. Do u and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**5\/5 - 6*v**4\/5 - 4*v**3\/5 + 12*v**2\/5 + 2*v\/5 - 6\/5 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 1.78?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1131)\/(-203) + 4\/(-14)*2. Let h = 9\/5 + -2. Which is the biggest value?  (a) 0.54  (b) h  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 - -60. Calculate the remainder when 73 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0.44856, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 14, -2\/9, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**4\/6 + s**2 - 136*s. Factor p(k).\nAnswer: -2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1643*k + 2 - 2 - 1805*k + 251*k.\nAnswer: -3197*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (124 + 65 + 351)*(-2 + 4 + 0)*(2*s**4 - 5*s**4 + s**4).\nAnswer: -2160*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/1*35\/7. Calculate the greatest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.257 times 236\nAnswer: 60.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*m - m + 0*m to h*m + v and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -44*u - 19. Let f be c(-1). Solve 0 = -5*x + f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(306 - 145 + n - 154).\nAnswer: n + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -1258\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47625400 is divided by 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 27*k**2 - 508*k - 5790. What is w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 285724961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**2\/7 - 33471140*h\/7 - 33471142\/7 = 0. What is h?\nAnswer: -1, 16735571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*g - 2*g + 2*g)*(5*g - 5*g + g**4) + 4*g**5 + g**5 - 4*g**5.\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = -7*i + 111. Sort i, 1\/10, 0.5 in descending order.\nAnswer: 0.5, 1\/10, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -3*h + 5*h + 16, g = -2*h - 13. Let k be 2 - (0\/2 - h). Let o(q) = q**3 + 5*q**2 + 4*q. Calculate o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -536*w = -715*w + 360235531. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.648 - 0.048. Let p = -0.9 - -0.3. Let w = p + y. Which is the second biggest value?  (a) w  (b) 1\/3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3211*n**5 + 2*n - 2833.\nAnswer: -64220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 21 = -21. Suppose 2*x + 2*u - 14 = q, 2*u + 21 = 3*x - 0*u. Put 4, x, 3 in ascending order.\nAnswer: 3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11196)\/(-50) - ((-42978)\/975 + 44). Solve -608 + h = 48*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n. Let f(w) = 4*w + 511*w**2 - 3*w + 273*w**2 - w. What is m(f(a))?\nAnswer: -1568*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*h = -69*h - 162*h + 1550575. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 22371*j - 113. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) - (sqrt(7488)*-3 + sqrt(7488)))\/(1*sqrt(64))*-5.\nAnswer: -125*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1227844884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -4*r**2 + 45*r - 36. Let h be u(10). Suppose 849 = h*l - 2413. Is l a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-3))\/(4*(-5)\/(-20)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 119.6 + 4.4. Let b = 123.999714 - k. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 5*p + 8 - 1 = 0, 5*v + 3*p = 30. Let r = v + -7. Factor -4*m + 30 + 20*m + m**2 + 2 + m**r.\nAnswer: 2*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0596115 and 4.\nAnswer: 3.9403885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d + 25 = 641. Let r = 221 - d. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2217 + 2217. Put 1, -6, -5, -3, j in decreasing order.\nAnswer: 1, j, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 405?  (a) -17  (b) -3\/8  (c) 0.14  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001903809728 to six decimal places.\nAnswer: -0.001904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 3:21 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 3 = -5*v + 4*v, 4*s = -4*v + 36. Let q be 4\/(-10)*80\/(-4). Solve v = -4*f - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 9 + (45 - 37)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215233 is divided by 35869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 2  (b) 0.14  (c) 2\/7  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 88214, 89935, 91656, 93377, 95098, 96819?\nAnswer: 98540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63625809*l**2 - 2611899*l + 41.\nAnswer: 127251618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/2*6\/(-3). Let p be -2 - (8\/r + 1). Let m = 0.9 - 1. Which is the third biggest value?  (a) m  (b) 1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19258 + 10434 + 9921)*(-3*k - k + 6*k) + 10*k - 10*k + 7*k.\nAnswer: 2201*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 3:55 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (212 - (-115397)\/(-334))\/(3\/(-2)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 - 6*c**2 - 249*c + 965. Let g be k(4). Let v(t) = -4 - t + 2 + 0*t. Let p(u) = 1. What is g*v(n) + 4*p(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1385 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/(-1045)*-11)\/((-10)\/2100*2).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31*a**2*h**2*q + 6*a**2*h*q + 57*a**2*h - a**2*q + 6*h**2*q wrt h?\nAnswer: -62*a**2*q + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 40*d**3 - 40*d**3 - 18*d**4 + 18 with respect to d.\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*q - 1582 = -819 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 153 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 4*d + 2. Suppose u + 3 = 0, 2*h + 2*u = -0 + 2. Let q = -1100 - -1101. Let p = h - q. Calculate a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3364)\/7569)\/(10\/3 + 0).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h + 9. Let q be r(-7). Let v be (6\/q)\/((-6)\/(-15)). What is the units digit of ((-6)\/9)\/(1\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 11*w**2 + 2*w - 1. Let k be m(1). Let t = k - 7. What is the remainder when 13 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 592?  (a) 1\/5  (b) -2\/7  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-4))\/(2\/8). Let x = 32952 + -32948. Solve z + 9 = -f*n - 8, n = x*z + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h - 2*h + 2*h + (-2*h + 3*h + 0*h)*(-5 + 4 + 0) + 10538 - 2*h + 5953 - 3456.\nAnswer: -h + 13035","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of 9*f**2 - 8*f**2 - 47 + 15. Let z(p) = 5*p. Determine w(z(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000841059425 rounded to six decimal places?\nAnswer: -0.000841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -3*n - 12, 7*u - 26 = 141*n - 137*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*r - 4*u, -u = -3*r + r - 14. Let j(m) = -m**3 - 7*m + 2. Let x = 11 + -18. Let f(b) = -6*b**3 + 0*b**3 + 7*b**3 - 2 + 6*b. Give r*j(o) + x*f(o).\nAnswer: -o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 15525, 15533, 15555, 15597, 15665, 15765, 15903, 16085?\n\"Answer: g**3 + g**2 - 2*g + 15525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -5, -0.2, 121, -9?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.26 - -12.26. Which is the closest to k?  (a) -5  (b) -1\/2  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cw when two letters picked without replacement from cwwwcmwwwmrt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -8.94. Let p = q + 0.06. Which is the third smallest value?  (a) 2  (b) -0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - 0) + (-2)\/(-1). Let x(z) = o*z**2 - 6 + 6. Let q(c) = -4*c**2 + 6*c. Let m(s) = -11*s**2 + 17*s. Let h(p) = -6*m(p) + 17*q(p). Calculate x(h(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -248*o + 248*o + 71 + 19*o**2.\nAnswer: 19*o**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 4*z**2 + 17*z - 11. Let x(m) = 2*m**2 + 8*m - 5. Calculate 6*r(o) - 13*x(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 119945988 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7281, 7273, 7251, 7209, 7141?\nAnswer: 7041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27688578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 59, 8, -43, -94, -145, -196?\n\"Answer: -51*i + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13068929, -13068882, -13068835, -13068788, -13068741?\n\"Answer: 47*a - 13068976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -34*l. Let u be c(1). Let o = u + 41. Suppose 0 = k - 5*f - 112, -3*k - o*f + 3*f = -298. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2343951 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*g + 2*x, 11*g - 14*g = 4*x + 7. Which is smaller: g or -81\/4?\nAnswer: -81\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-3)\/1)*(-15)\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*k + 10120 = -2055 + 1435 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2 + -1 - (-1 + -1)) + 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112248 divided by -28062?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 0 + 172 - (-15)\/5. Let v(p) = -6*p - 5. Let s be v(-5). What is the highest common factor of f and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 353 - 105. Round j to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110 - (-7 - (-5 - (0 + (30 - 10))))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*l - 164 + 166 + 209*l + 96*l to the form w*l + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6\/113 or -1?\nAnswer: -6\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -17*q**2 - 53*q**2 - 12*q**2 + 116 + q - q**3 - 26 - 8 = 0. What is q?\nAnswer: -82, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwbbbcmqwww. Give prob of sequence wqb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -346 - -344. Which is the third biggest value?  (a) u  (b) -30  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - -2)*2*(-1733391)\/6. Let z be (-1)\/(-6) + s\/(-54). Round z to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19465360 by -23.\nAnswer: -846320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -322, -1216, -3680, -8500, -16462, -28352, -44956, -67060?\n\"Answer: -131*h**3 + h**2 + 20*h - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1288641018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 298432 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0028755 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(605) + 1 - sqrt(605)) + 4)*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92879086\/407 - 228204. Let x = o + -12\/37. Is x less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -61 + 39 - 6*y**2 - 2*y + 24. Determine l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -11*r**3 - 15*r**2 + 5*r. Let c(i) = -5*i**3 - 7*i**2 + 2*i. Let s(l) = -5*c(l) + 2*k(l). What is the third derivative of s(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*f - 454, 0*f - 3*f = 5*g - 805. Suppose -9*n = -11*n + g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**2\/4 - 282*c = 0.\nAnswer: 0, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3981716903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7\/4  (b) -2\/5  (c) 0.5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 152474739 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23918043 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**11\/t))**50\/((t\/t**6)\/(t\/t**(-1\/8))) assuming t is positive.\nAnswer: t**(-3551\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 165 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*o**3*y - 904113*o**3 + 752*o**2*y + 2*o*y + 5*y wrt y.\nAnswer: 6*o**3 + 752*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59811 is divided by 188.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 101122100 (base 3) in base 12?\nAnswer: 45a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((sqrt(245) + 0 + 5 + sqrt(245) + (sqrt(245) - -6*1*sqrt(245)) - -2*(sqrt(245) + -1*sqrt(245))*-3) + 5)*-6)**2.\nAnswer: 45360*sqrt(5) + 718022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40190, -40185, -40186, -40199, -40230, -40285?\nAnswer: -40370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 54 = 18. Let h be r*(585\/(-146) + 4). Let c = -382\/1095 + h. Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 468\/(-90)*10\/(-4)*1. Suppose n - 4*c - y = -0*c, 4*c + 20 = 0. Let j be (-4)\/12*(-60)\/(-4). Put n, 4, j, 3 in ascending order.\nAnswer: n, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 11138*d - 44548. Give f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6 times 0.029\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 45552986, 45552985, 45552984, 45552983, 45552982, 45552981?\n\"Answer: -q + 45552987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -17*n - 208. Let u be l(-12). Let r = 93 - 92.7. Which is the closest to r?  (a) 0.8  (b) -5  (c) -0.5  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.15 and -0.08524291?\nAnswer: 0.0127864365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 9337 - 9741 = -50*o, 3*o - 2*s - 26 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*p - 5137 = -92*p - 211*p - 15987 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21403 + -10163. Round a to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + 8*t + 9. Let d be j(9). Suppose d = f + f - 8. Suppose 4*x + f = 164. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*b - 3)*(0*b**4 + b**4 + b**4) + 3*b**3 - 3*b**3 + b**5 + 3*b**5 + 2*b**5 - 2*b**5 + (3 + 2 - 4)*(2*b**5 - b**4 + b**4) + 3*b**5 + 3*b**5 - 4*b**5.\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3740 and 1309?\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*n - 3*n. Suppose 3*m - 6 = -3*f, m = n*m. Suppose 0 = 4*w - w - 2*q + 35699990, f*w - q + 23799995 = 0. Round w to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5 = -o - 2*o, 3*a + 1 = -o. Is -4 - (2 + -135 - a) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 4*f + 181, -3*f - 192 + 70 = -2*t. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 7*n = 30. Let m be 51\/9 + (-10)\/n. What is the third derivative of -15*p**4 - 12*p**m + 4*p**2 + 15*p**4 + 0*p**2 wrt p?\nAnswer: -720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 10*i + 11. Let d be y(9). Let g(j) = 2*j**3 + 2*j - 2. Let t be g(d). Let a = 21 - t. Sort a, 5, -3 in decreasing order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -25*d + 4. Let c(y) = -9*y**2. Give s(c(v)).\nAnswer: 225*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -3166405 != -12665619\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -55*a**2 - 13*a + 5. Let q(s) = -83*s**2 - 20*s + 8. What is -8*o(t) + 5*q(t)?\nAnswer: 25*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/17  (b) 4  (c) 0  (d) 0.32  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.4, 5, 0, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 543 is divided by 524?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -155 - -155.091. Let f = -8.309 - d. Let a = -8.39997 - f. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12973173602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 44376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4500263717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-2))\/(71*(-2247)\/(-151940))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (3 + 3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from wppppwqpq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) 2  (b) 9\/10  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 172001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 1582 - 1570. Let p(f) = 11*f - 13. Let k(a) = -5*a + 6. Let x(i) = 9*i. Let v be x(-1). Calculate t*p(u) + v*k(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 28\/(-42) - 37\/3. Let f = n + 27. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2*t - 3 - 674*t**2 - 2*t + 681*t**2.\nAnswer: 7*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 295362 a multiple of 538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30211, -30228, -30249, -30274, -30303, -30336?\nAnswer: -30373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yiwllpiippywwpwilyrw. What is prob of sequence ri?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10 + 2265?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**2 - 3262*l - 116620 = 0?\nAnswer: -35, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009617 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 7 + 10\/(-4). Let k(p) be the first derivative of 0*p**2 + 0*p**3 + 6 + 4*p - d*p**4. Differentiate k(t) wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.006 + -0.006. Let q be ((-18)\/15)\/((-2)\/(-1)). Which is the fourth biggest value?  (a) q  (b) -4  (c) -1\/4  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3005199609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8e (base 15) to base 4\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11327 - -11333. Let m(x) = 4*x - 10. Determine m(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -6*x**3 - 2*x**2 + 5*x. Let c(m) = 5*m**3 + 2*m**2 - 6*m. Give -5*c(t) - 6*j(t).\nAnswer: 11*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q + 0*q + q + (-15*q - 66*q - 55*q)*(3 - 6 + 2).\nAnswer: 134*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 5*a + 0*a + 0*a - 2*a. Let n(o) = -19*o + 4*o + 14*o. Give n(d(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - ((3 - 6) + 4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xuxk when four letters picked without replacement from {v: 1, k: 3, x: 4, u: 5, n: 1}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 27, -152, -507, -1038, -1745?\n\"Answer: -88*x**2 + 85*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 551.7744g in milligrams?\nAnswer: 551774.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 20*o**4 - 3740*o**3 + 91965*o**2 + 7749280*o + 85863680 = 0?\nAnswer: -37\/2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 5\/8, -7, -1\/43, 15?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-14)\/259 - (-79702)\/74. Suppose -4*q = -3*p + 3263, p + 0*p - z = 4*q. What are the prime factors of p?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-39)*o**(-2\/21))**(2\/63) assuming o is positive.\nAnswer: o**(-1642\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nwlnjcbblllcnlb. Give prob of picking 1 c, 1 l, and 1 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 3*n - 12. Let a be o(13). What is the highest common divisor of 108 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -9*m - 53. Sort -12, 0, m.\nAnswer: -12, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 694671 or 694657?\nAnswer: 694671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.6642 times -3\nAnswer: 1.9926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**4\/3 - 28*u**3 - 328*u**2\/3 - 32*u + 512\/3 = 0. Calculate u.\nAnswer: -16, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -200.38 to the nearest integer.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 8456.711 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1163580 divided by -26445?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1920192 + 0.192. Round p to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 12084, 12083, 12082, 12081, 12080, 12079?\n\"Answer: -p + 12085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*t + 0*t + 2565*t**3 - 2563*t**3)*(-1 + 1 + t) + (0*t + 4*t - 3*t)*(8*t**3 - 8 + 8).\nAnswer: 10*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -4*q + 6*q**2 - 8*q + 12*q. Let t(n) = n. Calculate r(t(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*l + 26*l - 9. Let h(r) = 4*r**3 + 10*r + 20 + 11*r**2 - 3*r**l - 14. Give h(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2020*b**2 + 948*b.\nAnswer: -4*b*(505*b - 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/2 - 1)*((-4360)\/(-180) - 24). What is the fourth smallest value in -4, 31, -10, 2\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 232020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 4 + 1 - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 3*v**2 - 4*v - 5. Let x be z(-2). Let k be 2\/(6\/(-93)*x). What is k rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 560, 1144, 1762, 2420, 3124, 3880, 4694, 5572?\nAnswer: 6520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 6*b + 4. Let n be f(6). Suppose q + 2 = 1, 4*x = n*q + 40. Solve -2*c = -3*g + 6, 2*g + 3*c = -0*c - x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -205008626 or -205008625?\nAnswer: -205008626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 313 and 5?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 104?  (a) -62  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*b - 21*b = 32. Suppose -11*i + 13*i + b = 0. Let v(q) = -2*q + 7. Calculate the smallest common multiple of 30 and v(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144*2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g**(-7\/6)*g)*g)**(-34) assuming g is positive.\nAnswer: g**(-323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o. Let v(m) = 2*m - 7. What is 2*j(y) - v(y)?\nAnswer: -4*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = 56*z + 25*z. Let j(w) be the first derivative of -23 - 7\/2*w**z - 7*w + 1\/3*w**3. Calculate j(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -2*j**4\/15 + 52*j**3\/15 + 2*j**2\/15 - 52*j\/15 = 0.\nAnswer: -1, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 6.356408g?\nAnswer: 0.000006356408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 61\/52 - 12\/13. Let u(c) = -c + 2. Let x be u(3). Let n be x + 3 + 4\/(-4). Which is greater: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-24 + 10 + -16 + 11 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*b**2 - 44 + 44.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -0.090096528.\nAnswer: 0.090096528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285 = 7*t - 8090. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57 = -3*c + 2*v - 73, 0 = -c + v - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 10*p**2 - 9*p + 4. Let d be i(9). Let u(q) = -11*q + d*q + 3*q. Let x = 0 - -1. What is u(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**6\/360 - d**5\/40 - d**4\/8 - 4*d**3\/3 + 4*d. Let t(a) be the second derivative of k(a). Give t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-294)*-469*3*(-2)\/(-20)?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 550, 664, 780, 898, 1018, 1140?\n\"Answer: h**2 + 111*h + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/126 + (1 - (-34)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from bbbbpbbbbbbpbbbbbbbb.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -76 - -81. Suppose 2*l = 3*i - 7*i + 38, 0 = -v*l + 3*i + 56. Solve 1 - l = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 4*u - 8, -4*u = 2*b - 6*u - 38. Calculate the common denominator of 133\/b + 3\/1*-1 and 43\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -171, -416, -761?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1211 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 6, r: 6}. Give prob of picking 2 n and 2 r.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/9)\/(-4 + (12 + -4)\/8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518782769?\nAnswer: 29, 17889061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2 = -0*c. Suppose -l - 56 = -5*t, 0 = -t + l + 6 + c. Calculate the highest common divisor of 120 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1205 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8120\/(-3654) + 2\/9)*(-21)\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/3006042 and 79\/2298738.\nAnswer: 39078546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k and 1 j when four letters picked without replacement from dkvjdzkzkdk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 7*l - 3 - 127*l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53403390 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*l**2 - 86884980*l + 377449987480020 = 0. Calculate l.\nAnswer: 8688498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**4 - u**3 - 2. Let o(q) = -25*q**4 + 10*q**3 + 40*q**2 + 90*q + 85. Let z(t) = o(t) + 20*y(t). Let z(x) = 0. Calculate x.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 - 16. Let f(z) = -5*z - 5. Calculate the remainder when 612\/14 - x\/(-21) is divided by f(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 783145 or 783127?\nAnswer: 783145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22363 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2674, 0, -6, -5 in decreasing order.\nAnswer: 2674, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 775 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: Let s(b) = 4*b**2. Suppose -2*y + 5*o + 467 = 0, 5*o - 229 = -y + 3*o. Let u(f) = -y*f - 5 + 286*f + 5. Determine s(u(q)).\nAnswer: 12100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7\/2 - -1. What is the second biggest value in -1\/2, 1\/7, 3, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -22*z**2 - 8120*z + 66368 = 0. What is z?\nAnswer: -4148\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(130))\/sqrt(10).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 10:21 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 58 = 3*w, 0 = -f + 2*w + 11 + 1. What is the remainder when 61 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*f = -3 - 104, 5*z - f - 233 = 0. Suppose 14*l + z = 4. Put 1, 3, 5, l in descending order.\nAnswer: 5, 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 - -26. Put o, 2, -1\/2, 2\/5 in ascending order.\nAnswer: -1\/2, 2\/5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2512.224 - 43.7\nAnswer: 2468.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of 11*j**4\/12 - j. Let g be (-4 - -32)\/(12\/162). Let t(k) = g - k**2 - 190 - 188. Give d(t(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i**3 + 89*i**2 - 4*i - 6. Let b(o) = -9*o**3 + 180*o**2 - 9*o - 13. What is 6*b(c) - 13*p(c)?\nAnswer: -2*c**3 - 77*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6817*s**2 - 4 + 5 + 11*s + 6832*s**2 + 2 - 3.\nAnswer: 15*s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7947?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31.58 + 32. Let z = w - -0.08. Let t(p) = -p - 2. Let r be t(-4). Which is the second biggest value?  (a) z  (b) r  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9405687, -9405689, -9405689, -9405687?\n\"Answer: c**2 - 5*c - 9405683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7901\/1870 - 62\/85. Let c = 97263\/16 - 6076. Find the common denominator of c and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + (5 + -5 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -b**5\/60 - b**4\/3 + 2*b**3 + 21*b**2. Let a be d(-9). Solve 2*c - 2*w - 8 = 0, -c + 10 = a*c - w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 4*t - 0*t - 12, -3*t = -5*g - 9. Solve 6*v - 904 + 886 = g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 35 = -5*t, 5*t + 2*h - 22 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 146175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**3 - 117*z**2 + 60*z - 37. Calculate h(58).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 282223\/535095 - -14\/4653. Find the common denominator of s and 8\/11.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 564 and 5089254?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -5*o**2 + 2. Let h = -10 - -14. Suppose -3*u = -5*u + h. Let r(g) = -20*g**2 + 9. Let m(s) = u*r(s) - 9*w(s). Determine m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 362965 and 93515?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37814 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -191\/5046120 and -5\/26964?\nAnswer: 35322840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -3*m - 0*k + 39, -4*m + 52 = -k. Calculate the greatest common divisor of m and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahvvxvuahasavva. Give prob of sequence vh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5474 and 116564?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 279, 43, -15.\nAnswer: -15, 43, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22 + 22 + 4*c + (c + 3*c - 5*c)*(-1 - 1 + 1) - 5*c + 4*c - 3 - c.\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (4 + 0 + 16 + -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10001112000121 (base 3) to base 7\nAnswer: 16543234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 5*k. Determine a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 30. Let k be 1*(0 + 8) + -3. Suppose u = -k + m. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5\/3, 3\/8, -942, 1\/3, -41, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24409413 is divided by 4088.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -256.85676\nAnswer: 51.371352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ocuouao. What is prob of picking 2 o and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h + 2. Let t(w) be the first derivative of w**2 + 6*w + 3. Let u(b) = 8*i(b) - 3*t(b). Calculate u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 822 (base 11) to base 5\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -349, -122677, -2.\nAnswer: -122677, -349, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -2\/3  (b) 13  (c) -0.4  (d) -1\/4  (e) 4711\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/16)\/(-1 - 35\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -2, -16, 0 in descending order.\nAnswer: 10, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g. Let h(m) = -36*m + 36*m - 34*m**2. What is c(h(u))?\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -115522*f**6 - 113*f**3 + 8548*f**2 + 971 wrt f?\nAnswer: -13862640*f**3 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 36*x + 89. Calculate i(-38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from malttlttmlm. Give prob of picking 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away -2594?\nAnswer: 2593.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4147 and 131950.\nAnswer: 1451450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*((-42)\/(-4))\/(-7). Solve -10 = -2*w, m*s + 5 = -0*s + 4*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2. Suppose 2*k + 7*v = 4*v + 52, 0 = -3*k + 3*v + 48. Let i(y) = y**2 - 17*y - 37. Let t be i(k). Let h(f) = 1 + 5 - t*f - 6. Determine o(h(b)).\nAnswer: -529*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*r**2 + 24*r + 32*r - 79*r + 22*r + r**2.\nAnswer: -8*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 + 20 = 3*d + 14*i - 32, 4*i = -2*d + 2*d + 36 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -9*j**2. Let c = -43 + 100. Let h(o) = 57 + 7*o - c - 3*o. Let d(l) = -l. Let u(x) = -11*d(x) - 2*h(x). What is i(u(m))?\nAnswer: -81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/4*(14\/36)\/(140\/300)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u**2 - 283*u + 323. What is the remainder when a(-95) is divided by 100?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*p**3 + 20 - 20)*(-2*p**2 - 1 + 1) + 2*p**5 - 3*p**5 - 2*p**5 + 37104*p**5 - 3 + 3 - 35965*p**5.\nAnswer: 1150*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -239 + 264. What is the remainder when 73 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 4\/423  (b) 0  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 31 + 56 = 0. Suppose 0 = 5*f + a, 0*f + 5 = 2*g + f. Solve 0 = g*j + 5*c - 6, 3*c - 3 = -j + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 * 0.1\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 60 + -16 + -33 + 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**2\/5 + 3012*x\/5 + 603 = 0. What is x?\nAnswer: -1, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, -1, 10 in ascending order.\nAnswer: -30, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 85*v**2 + 4*v + 2. Let u be s(-4). Let m = -1009105\/46396 + -2\/11599. Find the common denominator of m and u\/144 + 8\/(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/7 - 2\/7*v**2 + 10\/7*v.\nAnswer: -2*(v - 6)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*n + 3*l + 41, 4*n = -2*l - 56. Let v = 22 + n. Let f(s) = 6*s - 176. Let j be f(33). Solve -v = -5*t - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**2. Let l be (-14)\/(-3)*(-12)\/(-8). Let t = l - 5. Let q(a) = -3*a**2 + a + a - t*a. Determine q(j(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.006 - -21.994. Let t = 0.425 + -4.425. What is the closest to 2 in o, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25506.638126 to one dp.\nAnswer: -25506.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 6 = 0, 4*i - 16 = -5*w + 86. What is the greatest common factor of i and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 19*v**2 + 2660*v + 236. What is the units digit of t(-144)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from {p: 1, x: 3, m: 1, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5*o - 1804 = 668, -3*b = -5*o - 2442. List the prime factors of b.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.03 - 1.23. Let y = -0.2 - l. Suppose -r - 9 = -4*h, -20 = 3*r + h - 6*h. What is the smallest value in y, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -24111 and -24111 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3393 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 PM and 9:14 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71722 divided by -1526.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i**2 - i + 1. Let m(q) = -q - 3. Let o be m(-2). Calculate the remainder when 18 is divided by c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -278273*r - 834916. Calculate t(-3).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 240225470 divided by 5?\nAnswer: 48045094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.09 + -0.48. Let x = r + -10.61. Let h = 10.9 + x. What is the nearest to h in 0, 3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/525 + (-12)\/(-1449).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 12 = -3*d, -2*d + 2*w - 3*w + 13 = 0. Let n = d + 4. Suppose 0 = -2*y + m + 31, y + 4*m - n = m. Solve r - y = 6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1 - -0.9. Let t = 0.799919 - a. What is t rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9017472\/493 - 18291. Calculate the common denominator of q and 32\/783.\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/10*(-2)\/(-8)*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 10 = -3*t - 2, 0 = -3*j + 3*t + 12. Suppose -w + 5*m + 54 = 0, -7*w + 4*w + 5*m + 192 = j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/6*(13 + -19). Let b be (-4)\/((-4)\/(-3))*1. Sort b, 3, m.\nAnswer: b, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 175930867, 175930864, 175930861?\n\"Answer: -3*r + 175930870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8812552m to kilometers.\nAnswer: 0.0008812552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/11 - 9170*a\/11.\nAnswer: 2*a*(a - 4585)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2*x - 2*h + 652, -3*x - 980 = -4*h. Let b = 663 + x. Suppose p = -78 + b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52 + 300. Let g = z + -133. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 4*s**2 - 8*s - 1. Let c be j(-6). Let o = c - -42. Solve 5*q = 3*i + 21, -i - 3*q = -5*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (112\/42)\/((-3)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -428 by 2.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -467\/64  (b) 1\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -137133?\nAnswer: 137127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 323 = 265*c - 77 - 16295. Calculate the highest common divisor of 5425 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2633.123254 to the nearest integer.\nAnswer: -2633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -5, 1, 0 in decreasing order.\nAnswer: 1, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 584 - 193*u + 188*u + 330.\nAnswer: -5*u + 914","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 7:58 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 3\/31  (c) -0.5  (d) 0  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 100 = 6*z. Let r be (-3207)\/(-2)*z\/(-30). Let j = r + -9577\/9. What is the common denominator of 47\/9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -1996*c - 15959. Give h(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -354599*v**5 + 270*v**2 + 17398?\nAnswer: -21275940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 750 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7)\/k)\/k*k**(-4\/7)*k*(k**(3\/2)\/k)**36 assuming k is positive.\nAnswer: k**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - 777\/(-4))*4. Let u = 1425 - v. What are the prime factors of u?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328029080 divided by -8200727?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 67256281 to the power of 1\/2, to the nearest integer?\nAnswer: 8201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3327 + 7679. Suppose -5*g + 9*g + 4376 = 4*c, -4*c - 4*g + w = 0. What are the prime factors of c?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of x**6\/720 - x**5\/120 + x**4\/48 + x**3\/3 - 5*x**2. Let m(d) be the first derivative of h(d). What is k in m(k) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-3) - (-2261)\/42*8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1607 = 5*n + 1623 - 3290 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111556805 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20529601249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do 9862 and 9868 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 2\/11, 4, 0.4, -42, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t - 47. Give p(35).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*192\/(-15)*(-1)\/(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1363 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19192, 19202, 19226, 19264?\nAnswer: 19316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 44651250*v + 3\/2*v**3 - 46883812500 - 14175*v**2.\nAnswer: 3*(v - 3150)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**2 - 916*t - 104882 = 0.\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 5*z + 19 + 16 = 0, 4*z + 37 = l. Let h = -6 + 2. Let b = h + l. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/6*6417\/(-2852)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55 + -56. Let i be (1873\/m)\/(-1*3\/6). Let q = -2631 + i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/4 - 238\/(-280)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1313641 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68778077 to the nearest integer?\nAnswer: 8293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, b: 5, c: 2, v: 3}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5603*z + 2*z**3 + 2864*z + 2739*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 3:08 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -712 divided by 356?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4379 is divided by 314?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -4, -3, 13 in increasing order.\nAnswer: -4, -3, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2820\/50*9700\/30?\nAnswer: 2, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.22 - 0.12. Which is the nearest to 1?  (a) 5  (b) o  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 5\/3*z**3 - z**5 + 0*z - 5\/2*z**4 + 10 + 5*z**2. Suppose m(h) = 0. What is h?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-3*3\/(-54))*19\/(1311\/(-92))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3931, 6892, 8867, 9856, 9859, 8876?\n\"Answer: -493*a**2 + 4440*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1165 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2475021 + -43367\nAnswer: -2518388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 7 - 7*s**3 + s**3 - 2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -16*j - 169. Let r be f(9). Let x = r + 311. Which is the nearest to 23?  (a) x  (b) 2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**2 - 115346016*p - 831543962942016 = 0. What is p?\nAnswer: -14418252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1301 (base 5) to base 16\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26 by -9827.\nAnswer: -26\/9827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4771809212 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2325 = -3*o, -6*r + 2*o - 3490 = -9*r. Suppose 5949 = 5*x + r. What are the prime factors of x?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/6 and -27\/760288.\nAnswer: 2280864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1337\/5 >= 4328\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26 - 24. Suppose -r*g + 1957 = 641. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(7) + 3*sqrt(7))*-5 - (4 + sqrt(63)\/(sqrt(81) + sqrt(9))))**2.\nAnswer: 81*sqrt(7)\/2 + 45943\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (36\/144)\/(1\/(-3428)). Let w = u + 1319. List the prime factors of w.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 10*w**2 + 11*w - 12. Let y be u(9). Factor 8 - 2*r**2 - y*r - r**2 + 1.\nAnswer: -3*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2612*q**5 + 427*q + 3.\nAnswer: 52240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39652*u**2*v**2 - 4224*u*v**2 - 5*u wrt u.\nAnswer: -79304*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/4)\/((-309)\/824).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 8:38 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y - 2663 - 4537 = 0. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1665657 divided by 3.\nAnswer: -555219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 18173 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2806 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*g + 33 = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 183 - 178. Solve -4*t = -f*t + 5, 3*x = t + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (8 - (1 + 17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(12) + sqrt(12) + (sqrt(300)*3 - sqrt(300) - sqrt(300) - sqrt(300))) - sqrt(12)\/(sqrt(36)\/(sqrt(6)*2 + sqrt(6) + sqrt(6))).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -88 - (127 + -32 + -113).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of i**5\/8 - 13*i**4\/8 + 13*i**3\/3 + 3*i**2 - 318*i. Factor l(y).\nAnswer: (y - 6)*(y - 2)*(5*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77*g**2 - 72*g - 3 wrt g?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 5*j**3 - 4*j**2 + 3*j. Let c be x(2). Let l be 93\/c - (-2)\/(-20). Solve l*d - 4*y = 3, d = y - 4*y + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000000182 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f**2 - 340*f + 9456. Determine t(64).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -331*-3\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6816\/5093 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/(-75) + (-1598616)\/(-200) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 + 4 - (69 - (-24 - -73))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5, -39, -95, -173, -273, -395?\n\"Answer: -11*f**2 - f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2738*g + 7882*g + 213016 = -341*g - 400800 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22800\/7 - -3257. Let s = 2.9 - -2.1. What is the second biggest value in s, 10, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28861 - -28863. What is m in -4\/5*m - 1 + 1\/5*m**q = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -643 + 1020. Let i = -379 + s. Let q(g) = -g - 1. Let p be q(-2). Which is the nearest to p?  (a) i  (b) -0.02  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 11*q**2 - 2*q - 2. Let t(h) = h**2 - h. What is -s(x) + 2*t(x)?\nAnswer: -9*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**5*u**2 - 19*m**4*u**3 - 5*m**2*u**3 - u**3 + 2 wrt m?\nAnswer: 60*m**2*u**2 - 456*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/20*(-44)\/22.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/517 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -431 equal to -431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -705 divided by -2815.\nAnswer: 141\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10614117 is divided by 614.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l. Let t(b) = b + 2*b + b. What is t(n(u))?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 times 50?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 43*c**2 + 19)*(-1 + 1 + c) - c**3 + c**3 - 2*c**3 + (-2*c**2 - 2 + 2)*(-2*c + 2 - 2) - 2 + 2 - c**3.\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -60.8001646 and -1.\nAnswer: 60.8001646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.25. Let n = -2.95 + k. Let t = 1270 + -1268. Sort n, -2\/19, t.\nAnswer: n, -2\/19, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.742 - -119.781?\nAnswer: 119.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**2 - 2*r**2 - 154*r**3 + 153*r**3 + 5*r + 3. Let p be o(-5). Suppose p*u = -u. Is 0.9 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -75*a. Let d(m) be the first derivative of m**3\/3 + 14. Determine i(d(l)).\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-2))\/(18\/(-3)). Which is the third biggest value?  (a) -3.4  (b) -5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 10*g - 20 = 0. Do g and -2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1035 = -7*y + 2848. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.420000015 - 0.42. Round n to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -467 (base 8) in base 10?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2147 (base 11) in base 16?\nAnswer: b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 23*r**2 - 6*r + 9. Suppose 23*a - 48 = 20*a. Suppose 3*l - a + 4 = 0. Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 401*x**5*y**3 - x**4*y**3 - 236*x*y**3 + 5*y wrt x.\nAnswer: 8020*x**3*y**3 - 12*x**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 + 0.21. Suppose 5*d = -2*h + 5, 4*d - 2981*h - 4 = -2986*h. Which is the nearest to d?  (a) 5  (b) -4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 74 - 75. Which is the nearest to 2?  (a) -0.1  (b) -4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7152099\/157 + 45555. Let t be (-4771)\/4*3\/314. Let v = t - r. Find the common denominator of 99\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, e: 8, b: 1}. Give prob of sequence be.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/458745 and 61\/1309.\nAnswer: 5046195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*p + 8. Let f be (16\/(-10) + 1)*p. Suppose -5*d = -4*z - 155, 8*d = 10*d + z - 49. Calculate the highest common divisor of f and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 - 59. Let r = n + 83. Let u(g) = -g**3 - 7*g**2 - 7*g - 9. Determine u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 1 - 1)*(-6*s - s + 0*s) - 3 + 3 - 428*s**2 + 26*s + 426*s**2.\nAnswer: -9*s**2 + 26*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/4))**(-18\/7)\/((i\/i**2)\/i)**(-3) assuming i is positive.\nAnswer: i**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -x**8\/336 + 5*x**4\/12 - 4*x**2. What is the second derivative of m(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -493\/2 - -265. Let h(w) = 12*w. Let x be h(-3). Find the common denominator of r and 2\/(-9) - (-778)\/x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + -4 - 3) + -3 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.95508235 rounded to 2 dps?\nAnswer: 7.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 15 = 81. Let t(w) = -2*w**2 - 4*w - 9. Let o(d) = 5*d**2 + 11*d + 25. Let y(c) = p*t(c) + 4*o(c). Suppose 4 = 2*m - 0*m. Calculate y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-105987)\/(-18228) + (12\/(-93))\/2\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 507713.4 decades to millennia.\nAnswer: 5077.134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -514*u = -515*u + 4*o + 2, -u = 3*o - 23. Which is the closest to u?  (a) 0.3  (b) -2  (c) -0.2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -5*q**5 - 115*q**4 - 340*q**3 + 2380*q**2 + 6720*q - 8640 = 0.\nAnswer: -18, -6, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -2\/11, -5, -16\/14851, 5 in decreasing order.\nAnswer: 5, -16\/14851, -2\/11, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -79, -3.\nAnswer: -79, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 372*a - 87*a**2 - 373*a - 82*a**2 + 145*a**2 as r*a + z + k*a**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5 + 13. Suppose -2*y = -d*q + 188, 0 = 5*y - 5. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 18 = -3*k. Let y(i) = -2*i**2 - 11 + k*i + i**2 + 2*i**2 + 7. Give y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2 + 2*a - a**3 - 3*a**2 + 0 + 1. Let u = -7 + 3. What are the prime factors of y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s - 4*s - 10*s)*(2*s**2 - 9*s + 9*s) to t + g*s**2 + f*s**3 + o*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -76382?\nAnswer: 76386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from emmg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j**3*j)**(-9))**18 assuming j is positive.\nAnswer: j**(-972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2698 (base 10) in base 9?\nAnswer: -3627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 55*u**2 + 134*u. Let q(d) = -4*d**2. Give g(q(m)).\nAnswer: 880*m**4 - 536*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 581424?\nAnswer: 2, 3, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 128008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25209 is divided by 525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-24)*(-4)\/93\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 0.2, -0.03, 4461, 4.\nAnswer: -0.03, -0.01, 0.2, 4, 4461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.04, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30 - 5) + -11 + -48 + -15?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4778022 rounded to 2 decimal places?\nAnswer: 2.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**3\/4 - 31321*w**2\/4 + 240727099*w\/4 + 71174420565\/4 = 0 for w.\nAnswer: -285, 15803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 4*w**2 + 7*w - 7. Let d be g(5). What is the second derivative of -d*h - h**2 + h**2 - h**5 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 + 4 + -3)\/1. Let y be 138\/(-9) + 2\/(-3). Put 4, v, y in ascending order.\nAnswer: y, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 698*g**2 + 856 wrt g.\nAnswer: 1396*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -15*n**2 - 11. Let v(g) = -3*g**2 - 2. Calculate -6*t(f) + 33*v(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 744.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2449377 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -1 + 16 - -18) + 16 + -6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffvivdbtfdvdt. What is prob of picking 2 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 2045 and -191 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r - 131 = -124 - 84 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*r - 34*r - 56*r to the form m*r + g and give m.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, q: 1, b: 8, r: 2, p: 1, h: 1}. Give prob of sequence jjjh.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 2. Let t = 10 - w. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 (base 9) to base 5\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 706, 1454, 2214, 2986, 3770, 4566?\n\"Answer: 6*w**2 + 730*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1020, 2143, 3268, 4395, 5524, 6655, 7788?\nAnswer: 8923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 8*t - 687 = -4*v, 0 = t - 3. What is the smallest common multiple of v and 57?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 327308718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -36568*z**3 - 35*z**2 + 315*z. Let j(o) = 2151*o**3 + 2*o**2 - 18*o. What is 4*b(g) + 70*j(g)?\nAnswer: 4298*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 45*t**2 + 881*t - 21642. What is i(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - -3*(-20)\/(-12). What is the third biggest value in -6, x, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, y: 3, o: 5, x: 5, v: 5}. What is prob of sequence yo?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -856 - -855.9. Put v, 5, 16 in increasing order.\nAnswer: v, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -l**4\/2 - l**2\/2 - 2. Let v(z) = -z + 4. Let j be v(5). Determine y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23711 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5 - -25)*14\/8. Let n be 56\/l - 2\/(-5). Solve n*r + 2*z = -3*r + 5, -r - z = 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 11. What is the greatest common factor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21112021 + -10010?\nAnswer: 21102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7648)\/14340)\/(((-952)\/(-120))\/(-7))?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, b: 1, m: 1, n: 1, o: 1, z: 2}. What is prob of picking 1 b and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3382 + 3359 - (-80 - 0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/2 and 1980\/567 + 2\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 4, 3.\nAnswer: -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4289\/952 + -9\/136. Find the common denominator of ((-13)\/14)\/(5\/20) and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8286930 divided by -828693?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 140225 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2514*r - 547. What is the thousands digit of c(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -105 - -145. Let k = 125 - l. What is the highest common factor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 q when four letters picked without replacement from ggzpgzqzgg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -1\/2, 8\/363, -2\/3 in decreasing order.\nAnswer: 1\/5, 8\/363, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1255543*n**3*w**3 - 3*n**3 + n**2 + 2*n*w**3 - 5233*w**3 + 2*w + 26 wrt n?\nAnswer: 7533258*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*q + 23*q - 44*q = 7272 for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 96 - 94 = 0. Which is the nearest to n?  (a) 2  (b) 13  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -130.6899992504 - -130.69. Round l to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-126)\/56)\/((-9)\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 3*d - 15692 + 15731, d + 49 = 2*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(9\/(-874)*(-82)\/123). Calculate the greatest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11102 - -3?\nAnswer: -11033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 261119 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 291271 divided by 1?\nAnswer: 291271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156 = 75*q + 294 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 3942 - (-7 - (-60)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -306571*k. Let t(g) = -5*g. Determine t(c(x)).\nAnswer: 1532855*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 3*k**2\/8 + 13299*k\/4 + 58954467\/8 = 0.\nAnswer: -4433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or 1205\/27?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 25*((-33)\/(-15) - 3). Let v(f) = -3*f + 5. Let q be v(-8). Let t = z + q. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136 + 686 = 50*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j + 3*g = 9*j - 3*j - 21, 4*g = 63*j + 192 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1000100?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2748871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1840.46689 to 0 dps.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m - 1. Let c(p) = -p - 6. Give -c(h) + 4*u(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9212283, 9212258, 9212233, 9212208, 9212183?\nAnswer: 9212158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + (110\/14 - (372 - 383))?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6173 - -6653. Calculate the highest common divisor of 5600 and u.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9825263.\nAnswer: 7, 1403609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 0*v + 64. Suppose -46*c + c + 314 + 406 = 0. Calculate the highest common factor of c and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4 + 999*w**3 - 911541*w**2 - 911575195*w.\nAnswer: w*(w - 955)*(w + 977)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 7138304, 1\/4, -3\/7 in increasing order.\nAnswer: -3\/7, 1\/4, 7138304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + -22 + 8)\/((-54)\/(-15) - (-8 + 12))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 10) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -42.3  (c) -1\/11  (d) 0.063  (e) -3\/8  (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-315)\/14*1008\/1134.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -841, -852, -881, -934, -1017, -1136?\n\"Answer: -c**3 - 3*c**2 + 5*c - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 - 240*s.\nAnswer: -s*(s + 480)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*g + 10*g + 5*g**4)*(9 - 2 - 3) + 5*g**4 - g**4 - g**4 + 3*g**4 - 4*g**4 - g**4.\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.94 times -229\nAnswer: 215.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -172 - -168.8. What is the biggest value in 1, -2\/3, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**5 - 3*q**5 - 4*q**5 - 13*q - 3*q**5 + 13*q + (0*q**3 - 4*q**3 + 2*q**3)*(-2*q**2 + q - q).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -5*k + 30. Suppose -66*h + 210 = 39*h. Let z(l) be the third derivative of 0*l + 19*l**h + 1\/6*l**3 + 0. Determine a(m) - 30*z(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*r + 1. Let q = -3 - r. Let c(k) = k**3 + 4*k**2 + 4. Give c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202012110210 (base 3) to base 4.\nAnswer: -3202311003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00059894541 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 5*b - 15. Let p(r) = -539*r**2 - 3*r + 1078*r**2 - 540*r**2 - 9. Let s(u) = 3*g(u) - 5*p(u). Let y(j) = -281*j. Calculate y(s(v)).\nAnswer: -562*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 86?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 11*o**2 + o. Let h be n(-1). Let l = -5 + h. Solve l = 5*r - q, -5*q + 4*q + 11 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 1 - 5 = 0. Suppose w*h = 2*h - 1000. Is 3 - (h + 3 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -75 - -512?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 279 divide 309880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 11*r - 53. Calculate the remainder when f(-15) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10524 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 1525?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 45749?\nAnswer: 7\/45749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 + -16. Suppose 2*n + 194 = 4*b, 0 = 2*b + l*n - 21*n - 117. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - j + 2143 = 0, 5*j + 24 = -1. Suppose 93 = -4*q + y. List the prime factors of q.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14465699 * -1\nAnswer: 14465699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*i + 3)*(-44*i - 6*i - 2*i).\nAnswer: 104*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/11  (b) 1\/3  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 1)*(-3*j**3 + 1 - 1) - 4*j**2 - j**3 + 4*j**2.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 377810 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 505523 - 246760 - 2046783 - 5*m**2 + 5980*m = 0.\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-22)\/(-4)*(6 + 4). Let c = t - 27. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47 + 63 - 16 + 1038*d**2 - 1035*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1006 - -1010. Solve -2*p + 7 = 2*p + 3*q, -4*p - z*q = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/1*((-2)\/9)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + 15 + (-1)\/1. Suppose -m - 690 = -k*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 0*s = 4*g - 10, 0 = -4*s + 2*g + 4. Suppose s*v - 97 = -16. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2343073*-2.\nAnswer: 4686146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - f - 8 = 10, 5*x - 4*f - 28 = 0. Suppose -x*s = -4, 5*b + 3*s + s + 41 = 0. Let l = 16 + b. Let j(k) = k**3 - 7*k**2 + 4. Determine j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a = 11*a + 3144. List the prime factors of a.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 80.6 + -84.12. What is the closest to 1 in 4, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/2)\/((-43)\/2481488). Let i = z + 28849. Let a = i - -2591\/946. Calculate the common denominator of -107\/18 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3100941258.01 less than -7.45?\nAnswer: 3100941250.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 276 + -272. What is the closest to 2 in -1\/3, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -60*t - 32. Let s be o(-3). Let g = s + -82. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -936695 + 52?\nAnswer: -936643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwmwwwmmwmmmwwmwmm. What is prob of picking 3 w and 1 m?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 0*g + 2*g + 1, -2*g = -2*i. Let x = 1 + i. Put -1, x, -3 in ascending order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16010*f**3 - 5*f**2 + 58838*f - 2.\nAnswer: -96060*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wlaa when four letters picked without replacement from waaal?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15616085, 31232155, 46848215, 62464259, 78080281?\nAnswer: 93696275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 7. Suppose 15 = l*b - 4*a - 13, 0 = -b - 3*a - 11. Solve 0 = -b*j - 2 + 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -69, 18431, -41 in descending order.\nAnswer: 18431, -41, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-3) - 66\/(-9). Let z(f) be the second derivative of f**3\/2 + f**2\/2 + 4*f. Is 8 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 155 by -5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11750 and 60500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 3, -914, -2 in descending order.\nAnswer: 4, 3, -1, -2, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 7*r**2. Suppose 3*v + 2*h = -16, -5*h = 2*v - 0*v + 18. Let f(m) = 2*m + 12. Let q(s) = 2*s + 15. Let n(y) = v*q(y) + 5*f(y). Determine n(p(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b + 12. Let d be j(-2). Solve 2*a - d*q = -q + 2, -4*a - 5*q = -18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -5*k - 4. Let y be w(-6). Suppose -94 = -4*b + y. Solve 5*n + 35 = -5*l, -5*l - 3*n - b = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3444 and 6524.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -t + 2*t + 6*o, 7*t - 651*o + 88 = 652*o - 1305*o for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.9.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -90*100\/(-2250) + (-9 - 1). Let i(z) be the first derivative of z**3\/3 + 5*z**2\/2 - 2*z + 1. Give i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 210013241 (base 5) to base 2\nAnswer: 11010010000100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 5*o + c, 9*o - 5*o + 4*c - 60 = 0. Suppose -330 = y + o*y. Let z = y + 59. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 105*r**2 + 2*r + 2. What is the smallest common multiple of 5 and i(-1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*f**2 + 48*f - 45.\nAnswer: 3*(3*f + 5)*(5*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.84 + -1.16. Let w = 0 - -0.1. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12*((-51)\/238)\/(1*-3)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g**4 - g**4 - 4*g**4)*(-7*g + 2*g - g + (-3 + g + 3)*(-4 - 2 + 4)).\nAnswer: 88*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -68 + 117. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 456 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-5)*255\/102 - 21\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 1, y: 4, w: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37 (base 12) to base 3.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 610.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bk when two letters picked without replacement from kkvvkbgvbkbkkbbbrkr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 32*f**2 - 152*f + 15. Give x(36).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -472*u + 11234 - 3745 - 3744 - 3743 + (0 + 2 - 1)*(-u + 6*u - 4*u).\nAnswer: -471*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/13464 and -47\/188496.\nAnswer: 188496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1905 = -7*l + 99646. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**0\/b)\/b)\/b**(-3))\/(b**(1\/3))**15*b*(b*b**(-2\/5)*b)\/b*b*b*b*b**(5\/4)*b**(-3)*b**(2\/9) assuming b is positive.\nAnswer: b**(-167\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**6\/120 - r**5\/10 + r**4\/4 + 2*r**2. Give v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d*l**4*u + 15*d*l**3*u - d*l**2*u + 52*d*l**2 + 4*d*l*u - d*l - 3293*l**4 - 7 wrt l.\nAnswer: -24*d*l*u + 90*d*u - 79032*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {l: 1, f: 6, m: 5, y: 2, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ucu when three letters picked without replacement from huucueeeeceueeeee.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3047893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 4*y - 1 + 3)*((2 + 1 + 1)*(y - 2*y - 6*y) - 2*y + 14*y + 0*y).\nAnswer: -16*y**2 - 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2019)\/6 + (0 - 0))*-2. Suppose -n = -17*w + 517. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -4*a**2 + 3*a + 11. What is r(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13615.\nAnswer: 5, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -782*a - 818*a - 77*a**2 + 1603*a.\nAnswer: -77*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10278487 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + (3 - (2 + 3)). Suppose 3631 = -u - 7371. Let s be 1\/((-2)\/w) - u. Round s to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 601300 (base 7) to base 8.\nAnswer: 305724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7670 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 29*y - 500. Which is bigger: y or 655\/34?\nAnswer: 655\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -14, 4, 9, -1, 87 in descending order.\nAnswer: 87, 9, 4, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 5. Suppose -l - 9 = g*l. Let r = 15.69 - 15.99. Put 0.3, r, l in descending order.\nAnswer: 0.3, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (17 - (-43 + -16 + 1 + 26))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1488, -3139, -4930, -6861, -8932, -11143, -13494?\n\"Answer: -70*x**2 - 1441*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 894896.\nAnswer: 4474480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 1, w: 1, k: 1, a: 1, d: 2, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -23233222332 (base 4) in base 13?\nAnswer: -83a504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 0, 277 in descending order.\nAnswer: 277, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h - 7*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 1736\/3*n - 94178\/9 - 8*n**2 = 0.\nAnswer: 217\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 5 = 212. Let q = 74 + h. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/((sqrt(45)\/sqrt(9)*-2 - sqrt(5)) + sqrt(5)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 71*q - 637. Let a be n(9). Let y(f) = f. Calculate y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99221 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 1:41 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1\/113668, 2\/485 in descending order.\nAnswer: 3, 2\/485, -1\/113668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60445 + 19999 = 68*b. Calculate the greatest common divisor of b and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/(-51)*(-3)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 + 43 = -2*l. Solve 12 = -l*k - 3*y, 2*k + 0*y + y = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -958, -1880, -2802, -3730, -4670, -5628, -6610, -7622?\nAnswer: -8670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, 14, 28, 44, 62?\n\"Answer: g**2 + 9*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 5*z**2)*(3 - 4 - 2)*(z + 2*z**3 - z).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101, -99, -97, -95, -93?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/126 and 121\/798.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180206064 divided by -7.\nAnswer: -180206064\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-8) + (566\/(-8) - 1). Let k = h - -76. Solve 5*a - 2 = k*u, a + 4 = 2*u - 4*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - k + 99, -3*z = -8*z + 5*k + 155. Calculate the highest common divisor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 2*g + 46 + 26 = 0, -3*x - g = 11*x - 0*x - 305 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003367 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bphb. What is prob of sequence bhb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 24*b - 23*b = -5, 121*j + 116 = 5*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4)*0\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3369852 divided by -842463?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 250.00296 - 250. Round v to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of -x**5\/20 + 37*x**3\/3 - 23*x**2 - 3*x. What is the first derivative of b(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + -88 + 53 + (10 - 1) + -40?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2 + 210*l + 3675.\nAnswer: 3*(l + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**1*o*o\/(o\/o**(-2\/19)))\/(o\/((o\/(o**0*o))\/o))**(-5) assuming o is positive.\nAnswer: o**(226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1490 is divided by 369?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 470755 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1353223 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 31 and 54480170.\nAnswer: 54480201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 7*q**2 + 4. Let z be d(7). Let i = -1 + 1. Solve i = -a - z + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 166*j**2 - 81*j**2 - 89*j**2. Let y be (2\/(-3))\/((-1)\/(-9)). Let k(t) = -3*t - 6. Let q(l) = -3*l - 5. Let u(f) = y*q(f) + 5*k(f). Calculate d(u(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 61764 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 3400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 5*y**2 + y + 8. Let x be (-2)\/((-3)\/(-18)*3). What is the units digit of k(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72297731.\nAnswer: 11, 83, 79187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u**2 + 13*u + 10. Let q be k(6). Calculate the common denominator of 55\/4 and 3\/(-7) - (-66)\/q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12.3 and -13.195.\nAnswer: -0.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 32\/7?  (a) 4\/3  (b) 2\/7  (c) 6  (d) 14\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 0.05, -1\/18, 43\/39, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 4*m = -42, 5*d - 208205 = -59*m - 208785 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by (-1 + 0)\/(3\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 126 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-24))\/(598\/230 + 890\/(-400))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9525.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4 - 2673*k**3 - 188934*k**2 - 723628*k - 712920.\nAnswer: (k - 2742)*(k + 2)**2*(k + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 4*q - 6*q. Suppose q = 5*t - 18*t + 130. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -5*p + 34, 4*o + 0*o = p + 199. Let s = o + -44. Let m = 28 - 20. Solve -17 = -s*x + m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -28971 + 14484 - 2021*v + 15637*v + 14487 in the form g + r*v and give r.\nAnswer: 13616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1793812291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*0.052.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 122385 divided by -5\nAnswer: -24477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -o**5\/60 - o**4\/12 - 3*o**3 + 14. Let s(r) be the third derivative of z(r). Differentiate s(w) with respect to w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 8*c**3 - 16*c**2 - 12*c - 2. Let g(w) = -7*w**3 + 14*w**2 + 13*w + 2. What is -7*g(v) - 6*n(v)?\nAnswer: v**3 - 2*v**2 - 19*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 133*q**2 + 175*q**2 + 73*q**2 + (-4*q + 7*q + 5*q)*(q + q + 0*q) to the form v + d*q + u*q**2 and give u.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -264 - -116. Let n be 3 - 5 - m\/4. Let y be ((-126)\/n)\/((-6)\/20). Solve -2*w - w = g + 9, g + 4*w = -y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 divided by 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 12\/62033449 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (((-561)\/(-24))\/11)\/((-18)\/300*(-10)\/24)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -5*d**3 + 4*d**2 - 2*d - 6. Let p(y) = -y**3 - y - 1. Let n(a) = a + 6. Let q be n(-5). Let g(w) = q*f(w) - 6*p(w). Factor g(c).\nAnswer: c*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55 - 64. Let u be d\/(-27) + (-11)\/(-3). Solve -3*j + 4 = -u*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1082 + 919. Is 3\/5 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - 4*w - 5, 0 = 8*z - 267*w + 270*w - 180 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - -11. Suppose 0 = o - k - 20, 2*k + i + 21 = 3*o. Calculate the remainder when 27 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 26. Suppose -c + 4 = -3*n. Calculate the remainder when 18 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6034, -6044, -6062, -6088?\nAnswer: -6122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -201722478323?\nAnswer: -201722478318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -783*j - 1260*j = 104*j - 62263 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11 - -2?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-5 + sqrt(800) + 4 - (-6*sqrt(150)*1)\/sqrt(3)) + 4))**2 + 1.\nAnswer: 2700*sqrt(2) + 45082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27363 - 27356. Let z(y) = y**2 - 8*y + 38. Calculate z(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k**3 + k + 2*k**3 - 4*k**3 - 3 to the form x*k + m*k**3 + t*k**2 + h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 36*q + 7. Let v be h(3). Which is smaller: 2\/3 or v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2906501750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(114)*-1 + sqrt(114))*1)\/(sqrt(96)*-3)*-3 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of 7*m**4\/12 + m**3\/6 + 7*m. Let z be v(2). Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4342 in -0.5, 10\/11, -1\/7?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.197 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a + 12, 0 = -2*j - 2*a - 142 - 2. Which is greater: -11 or j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of s**5\/15 - s**4\/12 + s**2\/2 + s. Let y(f) be the first derivative of v(f). What is the second derivative of y(o) wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -4*g + 41, -2*g - g = -3*f - 27. Let m = -2.61 - 0.19. Let n = -2.7 - m. Which is the closest to n?  (a) f  (b) 2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**3 + 2*r**2 + 4*r + 5. Let d(c) = -c**3 + c**2 + 3*c + 4. Let h = 74 - 78. Calculate h*d(j) + 3*v(j).\nAnswer: -2*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-5 + -26 - (-11 - -25)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 14. List the prime factors of b(16).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -33*u**2 - 3*u - 34. Give m(-4).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 300943068.7013 and -7.\nAnswer: 300943061.7013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (14\/8)\/((-7)\/((-56)\/(-2))*1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0  (b) 2\/19  (c) -3027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 546 + -543. Let d = 2 + -1.7. What is the nearest to 9 in w, d, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 6 - 9 = 0. Suppose p*t + 2*t = 20. Solve -5*b + 18 = y - 0*y, 26 = -5*y + t*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -54\/539 and 20\/211001?\nAnswer: 16247077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229180 is divided by 742.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 26 + 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/1596 and 73\/15960?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 5*t**2 - 15*t + 18. Calculate the smallest common multiple of s(7) and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4496 or 4494?\nAnswer: 4494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + 6*w**2 + 4*w + 4. Let d be 22 - 5 - -1*4. Suppose z = 4*n + d, 0*z + 4*z + 16 = -4*n. Calculate y(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -986, -3085, -6586, -11495, -17818, -25561, -34730, -45331?\n\"Answer: -q**3 - 695*q**2 - 7*q - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 556\/6 + 66\/(-99). Calculate the highest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 120, 4, 36, -1\/4, 0.4 in descending order.\nAnswer: 120, 36, 5, 4, 2, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4408, 4426, 4464, 4528, 4624?\n\"Answer: t**3 + 4*t**2 - t + 4404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 2\/13  (c) 0.26  (d) 26542  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13806 is divided by 341.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 4012530?\nAnswer: -4012531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 5 = 6*z, -5*b = 5*z - 5630. What is b rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314034*s = -314240*s - 9064 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggnnwlwlwlglwnlwlgw. What is prob of sequence nw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 12 + (-1 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**2\/3 + 7*x + 104\/3 = 0 for x.\nAnswer: -13, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 6*l - 3. Let s be y(-5). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 83769581.7s?\nAnswer: 138.50790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 74093?  (a) -2  (b) 0.2  (c) -2\/11  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 0*q**2 + 0 + 7\/6*q**3 + 0*q**6 - 8*q + 0*q**5 + 0*q**4 + 2\/21*q**7. Find the second derivative of b(m) wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 29141*p**2 - 2254*p + 4508. Let d(r) = 155*r**2 - 12*r + 24. Let v(g) = -1127*d(g) + 6*m(g). Let o(f) = -2*f. Give v(o(z)).\nAnswer: 644*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 13*k**2 - 26*k + 21. Calculate n(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**6\/o)\/o)\/o**(2\/11)*(o*o*o*o**(1\/3))\/o*o\/(o\/(o**3\/o)*o))\/((o**0)**(-44))**(-2\/57) assuming o is positive.\nAnswer: o**(236\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u*u\/(u*u**1*u)*u)\/u)**(1\/8)\/((u*u**(1\/4)*u)\/u)**(1\/22))**44)**(-28) assuming u is positive.\nAnswer: u**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 40*x**2 - x + 1. Let h(r) = r**2 - 11*r + 24. What is the lowest common multiple of h(11) and g(1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.93 - 8.7. Let g = 35.595 - -2.375. Let f = g + t. What is f rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 8:06 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*f - f = 79*f - 1040 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 6:22 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*o**2 + 85*o + 60.\nAnswer: -5*(o - 4)*(5*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57 + -53. Suppose 2*p + 3*p - 7 = w, 3*w = -6. What is the nearest to 2\/3 in r, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 267\/((-51455439)\/130872) - (0 - (-2)\/(-3))?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -436a (base 13) to base 5.\nAnswer: -300013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, q: 1, j: 6, v: 1, r: 1, n: 1}. What is prob of sequence nhq?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -106 - -157. Suppose -a + i = 2*m, 0 = 4*m + a + 4*a - 93. Suppose 4*w - 20 = -4*h, 5*h = -w - 2 + m. Is w greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 155, 311, 467, 623, 779?\n\"Answer: 156*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (-36 + 41)) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1567213 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grgeruurueuz. Give prob of picking 1 z and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1814*a - 1810*a = 35*w + 1995, 0 = -w - 5*a - 57 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/3, 0, 12, -4, 9991?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -10*j**4 + 11*j**3 + 3*j**2. Let s(o) = -5*o**4 + 6*o**3 + 2*o**2. Let q(v) = 6*d(v) - 11*s(v). What is the third derivative of q(c) wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 21*k + 32. Let y(g) = -24*g - 29. What is 3*m(f) + 2*y(f)?\nAnswer: 15*f + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1046*k + 1045*k - 2*x = -12, 0 = 4*k + 4*x - 28 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -42 + 33 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 199 or 1504?\nAnswer: 1504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*u = -252*u - 616*u + 38915 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j + 2. Let y(u) = -u + 1. Let m = -41 + 45. Suppose -75 = -m*w - 71. Calculate w*i(l) + 2*y(l).\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 12*q**2 - 7*q - 44. Give i(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 17 = -m, -5*i + 8 = -m - 3*m. Let d(t) = m*t**2 - 9 + 8*t - 2*t**2 + 46673*t**3 + 2015*t**3. Let x be d(-7). Round x to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 8*r + 8. Let q(y) be the second derivative of -y**3\/6 - y**2\/2 - y. Let f be 1\/(6\/(-4))*30. Let z = 34 + f. What is z*q(j) + 2*h(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 946*k**3 - 77570*k**2 - 165*k + 81. Give z(82).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 6*v**3 + v**2 + v. Let g(b) = -35*b**3 - 18*b**2 + 12*b + 18. Let h(y) = -6*a(y) - g(y). Give h(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 649020 divided by -6?\nAnswer: -108170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 100 + -2373?\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4 + s - 5*s + 3*s. Let p = 77091 - 77095. What is d(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 81. Let m = -62 + k. Solve 4*c + m = 2*r, 3*r + r - 2*c - 24 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (43\/(-20) + 2)*160\/576*-6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 4  (c) -20  (d) -0.1  (e) -5  (f) 386\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.837 and -15744.91?\nAnswer: 15746.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57818?\nAnswer: 2, 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4*h = -2 - 0, 0 = m - 2*h - 5. Suppose -61 = 4*q + m*u, q - 65 = 5*q - u. What is the units digit of q\/(16\/4) - -31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/61, -26, -0.5.\nAnswer: -26, -0.5, 2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 14*z + 43. Calculate p(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -75846.3515 rounded to the nearest 100?\nAnswer: -75800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68534.\nAnswer: 2, 34267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/((sqrt(4) + sqrt(4)*1)*1))\/(sqrt(72)*-3*-1).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22009 + -19433. What is the remainder when o is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-8) - 10\/80*-18. What is the second derivative of -3*s**2 + 4*s**m - 9*s**2 - 92*s - s**2 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + 6*s**2 + s - 5. Let o be g(-5). Suppose -2*y + 63 = 4*h + y, h = -y + o. What is the highest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**6\/120 - 2*n**5\/15 + 7*n**4\/24 - 5*n**3\/6 - n**2\/2 - 17. Let r(t) be the second derivative of u(t). Give r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 529\/161 - (2 - 12\/7). Sort -183, -4, g in increasing order.\nAnswer: -183, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1621*-0.153.\nAnswer: -0.0248013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2960005097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7529?\nAnswer: 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, p: 1, j: 1, l: 2, f: 1, v: 1}. What is prob of sequence lfj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/(-6) - (-1586)\/122.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*y = -3*m - 32, -16 = 4*y. Let h be (-2 + (2 - m))*2. Let u be h\/3 - (-12)\/(-9). Solve c - u = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 5*g = -204, -2*g + 108 = -2*n - 3*g. Let x be ((-30)\/(-8))\/(147\/2744). Let w = n + x. Solve u - 3*c + 8 = 0, 2*u - c = -5*c + w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4047561.\nAnswer: 3, 7, 41, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**3 - 2 + 2 + (0 - 3*h + 0)*(-338*h**2 - 2149*h + 2149*h).\nAnswer: 1017*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 108767526629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - m + 14. Let t be r(0). Suppose 42 + 0 = 3*w. Calculate the greatest common factor of t and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1553 (base 7) in base 5?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - -30131322223111?\nAnswer: 30131322223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70295.\nAnswer: 5, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -3. Suppose 4*y + f*z = 6, -4*z - 36 = -5*y + y. Let r be y\/(-5)*45\/(-18). Solve r*h - 2*u + 0*u + 4 = 0, 0 = -5*h - 4*u + 35 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 10 = -7*v + 3*v, 15 = -4*v + f. Let o(y) = -y**3 - 7*y - 8. Is o(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*k - 2610*k**3 - 705*k**3 - 6*k.\nAnswer: -3315*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 AM and 10:55 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6114 - 1.0114. Which is the biggest value?  (a) 2\/17  (b) 0  (c) -15  (d) u  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -17*h + 127. Is q(-37) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of -53*y**5\/5 + 176*y**3\/3 + 435*y**2. What is the derivative of m(b) wrt b?\nAnswer: -1272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1564827437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 108356 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/44)\/(3\/6). Are z and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/9)\/1 + 24\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + 1. Suppose 5*x - 383 + 138 = 0. Let g = -29 + x. Calculate the greatest common divisor of g and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c + 2. Let g be l(0). Suppose 2*s = s + g. Let x = 36 + -31. Solve -3*f - s = 2*n, x*n - f = -6*f - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 2*k = -60240 + 511351, -3*k - 270675 = -3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46204 = 27*d - 11981. Let c = -1539 + d. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 108\/11 + 93\/88. Let p = 71863\/18 - 3989. What is the common denominator of f and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*v + 14 = 0, -4*v + 3 = 2*k - 7*v. Suppose k*u = 2*u + 102. What is the remainder when u is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -3*g + 0*g**2 - 2 + 2\/3*g**3. Differentiate w(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/(-6)*(-210)\/(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 105.7\nAnswer: 211.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -11*z - 7. Let r(c) = 25*c + 14. Let x(h) = -4*r(h) - 10*s(h). Let p(q) = q + 1. Let t be 12*((-245)\/15)\/(-7). Give t*p(b) - 2*x(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.9 + -3.1. What is the third smallest value in -1, y, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -254*k**2 + 5*k - 3223. Let t(u) = -276*u**2 + 5*u - 3222. Let f(y) = -5*h(y) + 4*t(y). What is the first derivative of f(i) wrt i?\nAnswer: 332*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3214 - 0.1786. What is the closest to 20\/9 in 2\/7, j, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -175 by -19.\nAnswer: 175\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/5)*a**(-2))**(-43) assuming a is positive.\nAnswer: a**(344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b**2 + b - 1. Let o be d(1). Let i = 1 + 1. Find the second derivative of -o*t**2 + 0*t**i - t + t**2 wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 - y**2 + 0*y**3 + y**3 + 3*y**2 + 14 in the form m*y + l*y**3 + t + w*y**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-149129 + 149129 + 1227*n**2)*((-3 + 3 - 2*n)*(n - 2*n + 2*n) - n**2 + n**2 + 3*n**2) to the form a + b*n**4 + i*n**2 + k*n**3 + t*n and give b.\nAnswer: 1227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/91 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107360, -107358, -107356, -107354?\nAnswer: -107352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -6046185.\nAnswer: -1\/1209237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5170037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/17)*n*n**(-9)*(n*n**(-3\/5))**30)**(2\/65) assuming n is positive.\nAnswer: n**(132\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let n be 62\/(-80) + 4\/10. Let u = 38.01 + -37.91. Let c = 2\/57 - -17\/57. What is the closest to c in 0.02, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7473 times -658.3?\nAnswer: 4919475.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z. Let g(i) = 6704*i**2 + 40*i. Calculate g(f(h)).\nAnswer: 6704*h**2 - 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.39  (b) -3.4  (c) -0.2  (d) -54920\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 19*m + 40. Let v be q(13). Let z = -37 - v. What is the greatest common factor of 4 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 9:20 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u - 22. What is n(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5532 + -5491. Let m be (296\/(-12))\/(-3*(-2)\/(-9)). Solve m*g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -433, -662, -893, -1126?\n\"Answer: -l**2 - 226*l - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 5*b**2 + 2*b + 6. Let w(z) = z**2. Let j(k) = -p(k) + 6*w(k). Let g be j(3). Sort 0, g, 3 in decreasing order.\nAnswer: 3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 42469132 or 42469131?\nAnswer: 42469132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**2 + 16*f - 9. Let r be c(6). Suppose -13*x + r*x = 44. Let j = 1 + 3. What is the remainder when x is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, u: 1}. Give prob of sequence mp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s + 10. Let z be n(-2). What is the common denominator of 36\/7 and ((-64)\/z + 3)*5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*a*g*u**2 - 13*a*g + 9*a*u**2 + 13285*a*u + 25016*g*u**2 wrt g.\nAnswer: -2*a*u**2 - 13*a + 25016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*f**3 + 11*f**3 + 5*f**3 - 22*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 218349186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 22.47 times -28\nAnswer: -629.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41 - 39. Solve p - 6 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 7:51 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 13*f + 75. Let b(a) = -25*a - 150. Let x(l) = 3*b(l) + 5*c(l). What is the tens digit of x(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -101. Let k(n) = n - 301. Calculate 3*k(u) - 8*z(u).\nAnswer: 3*u - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.21395 + -0.07815. What is o rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -638aa - -5?\nAnswer: -638a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -4\/13, 49, 8?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.11 + -1.69. Let a = 2 + z. Let o = a + -0.19999984. Round o to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26*3.7344\nAnswer: -97.0944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -906 - 4*q**2 + 1957 - 906.\nAnswer: -4*q**2 + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {c: 1, d: 2, e: 8, a: 1, w: 6}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + 0 + 7 - 1. Suppose 0 = -3*w + g - 4. What is w rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 2*i + 330, 8*i = 7*i - 2. Suppose 2*k + 5*t = y, -2*k + 5*t = 3*t - 146. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 7*f**2 + 12448*f - 87134. Let n be u(7). Factor 2\/21*s**n + 6728\/21 + 232\/21*s.\nAnswer: 2*(s + 58)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 2:51 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4*d + 6073 = 0, -334 = -z + 4*d - 2345. Let v = z - -2033. Suppose 4*t = -0*t - 2*l + 32, 20 = -5*l. Solve 4*j = h + v*j, 2*h + j = t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 610 (base 7) to base 6.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 2932041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + z**2 + z - 1. Let w(u) = 9*u**3 + 4*u**2 + 4*u - 3. Calculate -4*q(g) + w(g).\nAnswer: 5*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + 3*q - 5. Let d be z(4). Let u be 2 + 3*(-3)\/d. Solve w = 2 - u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -240 + 240 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13 + 50 - 14 + 107 + 105 + 43)*(-9213*y - 116*y**4 + 9213*y) as j*y**2 + a*y**4 + p*y**3 + h*y + d and give a.\nAnswer: -32248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*k*m**3 + 126*k*m*r - 5*m**3*r - 9*m**3 + 104 wrt k?\nAnswer: -4*m**3 + 126*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -8*d - 1. Let h(w) = -25*w + 26. Give -h(t) + 6*i(t).\nAnswer: -23*t - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + ((sqrt(312)*-1)\/sqrt(12))\/sqrt(2)))**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 1424, 3 in decreasing order.\nAnswer: 1424, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 11 = 5*i + 2, -5*f - 20 = 0. Suppose 6 = -3*l, -3*g - 4*l = -i - 6. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*k - 11*k + 468 = -5*c - 0*c, -3*k - 5*c - 315 = 149 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0924 + 0.1076. Which is the nearest to 1?  (a) z  (b) -5  (c) 1  (d) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -2, -36520 in ascending order.\nAnswer: -36520, -51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19059\/50 - -71557\/25. Let x = -2479 + c. Let d = -535 + 3757\/7. What is the common denominator of d and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/7  (b) -19  (c) -0.02405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 102991829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2868\/(-18))\/((-2)\/(-306)). Let d be q\/40 - (-12)\/60. Let l = d - -601. What is the common denominator of l and 73\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 400 divide 1322257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 60 (base 8) to base 6\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -3*w + 249, 119 = 5*h + 4*w - 133. Suppose -2*c = k - h, -5*k - 3*c = -2*k - 141. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.252, 2, 1, -2, -0.31, 0.3 in increasing order.\nAnswer: -2, -0.31, -0.252, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 2:14 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30826466850 rounded to the nearest 1000000?\nAnswer: 30826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**2 + 151*v - 403. Let z be l(66). Calculate the highest common divisor of 989 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 40 + 48 = 0. Suppose 3*x - 37 = y. Let g(m) = m**3 + 6*m**2 - 8*m + 1. What is the remainder when g(-6) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28377 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.45887 and 2.1?\nAnswer: -0.963627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-160)\/(-25)*(-4 + -1). Let j be ((-7)\/(-2))\/((-4)\/r). Do j and 28 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -723871 * 283\nAnswer: -204855493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 460\/(-50)*(-10)\/4. Suppose 5*l + o - 133 = 0. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 35 = -5*f - 0, 0 = 4*a + f - 3. Suppose -168*z**4 - z + 11*z - 128*z**2 - 2 + 232*z**3 + 44*z**5 + 10 + a*z = 0. What is z?\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4*((sqrt(128) - (sqrt(128) + 2)) + sqrt(128)) + ((-1 + sqrt(2))**2 + -5 + sqrt(2) - (4 + sqrt(10)\/sqrt(5)))).\nAnswer: -2 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -4*a + 0*a**2 + 1\/4*a**4 + a**3 - 4 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(88)\/sqrt(4) - sqrt(22)) - sqrt(132)\/(sqrt(24) - sqrt(6)))*3)\/(-6*(-1*sqrt(20)\/sqrt(2))\/sqrt(5)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2177 + -2176.6. What is the closest to -2\/3 in 21, p, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1181 * -5\nAnswer: -5905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 187\/54510 and -15\/31234?\nAnswer: 37012290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/13 in 0, -4, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-34)\/51*(-57)\/2 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -315 + 297. Let z(j) = -5*j**3 + 39*j + 68. Let y(f) = f**3 - 10*f - 17. Let d(r) = a*y(r) - 4*z(r). Differentiate d(t) with respect to t.\nAnswer: 6*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448)*1*-3 + 0.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 341586779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*t**5 + 4*t**4 + 24*t**3 - 16*t**2 - 16*t + 12 = 0. What is t?\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27373 + 27381. Let s be 1 + -1*2 - 1. Put s, -4, f in descending order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 6*h - 27. Suppose -h*i - 1 + 11 = 0. Let w be (2\/(-4))\/(i\/4). Sort w, 2, 4 in descending order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 45096\/16*(-2)\/(-3). Determine a so that -18065 - 198*a**2 - 13879 + 2477*a + 3*a**3 + l*a = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - -2)*(-3 + 2). Let r(i) = 4*i**2 + 8. Let n(q) = 5*q**2 + 9. Let u(h) = t*n(h) + 6*r(h). Find the first derivative of u(v) wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 161 - -507. List the prime factors of f.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.26  (b) 0.1  (c) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -s**6\/24 - s**5\/4 + 10*s**3\/3 + 10*s**2 + 12*s - 84. Factor g(a).\nAnswer: -(a - 3)*(a + 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**4*q**(-3)*q)\/((q\/q**(2\/5)*q*q)\/(q\/((q*(q**(1\/4)*q)\/q)\/q))) assuming q is positive.\nAnswer: q**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21048 - 19935. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 9*h + 21 = 0, -9*y - h = -12*y + 17 - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*n - 5. Let b be 5\/15*1*15. Solve -b*q - 3*k + 40 = k, 25 = n*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16351)\/(-166) - 112) + 4\/24*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d**4 + d**4 + d**4)*(36 - 286 - 574).\nAnswer: 3296*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/19 - 82\/209. Let y = -0.558 - -0.958. Sort x, 3, y, 4.\nAnswer: x, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 153 and 816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/((-7)\/((-7)\/(-2))). Which is smaller: -1\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9 + 1 + (2 - -1). Let l be 3 + w\/(-5) - 0. Let i = 1\/113 + -341\/226. What is the nearest to l in -3, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(1\/4))\/k*k**(1\/9)\/k)**(-47)\/(((k\/(k\/k**(-6)))\/k*k**(-4))\/(k**(-6)\/k**(3\/4))) assuming k is positive.\nAnswer: k**(520\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 118902a2 - 7?\nAnswer: 11890296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 921491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -680 divided by 68.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - 2.05?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 2*s - 3*s = 2, -5*l + 2*s = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(((r\/r**(-1\/3))\/r)\/r)*r*r)**48\/((r**(-7)*r)\/r*(r\/r**(4\/7))\/r) assuming r is positive.\nAnswer: r**(1285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -236*j**6 + j**5 - 6*j**3 - 16*j**2 + 272*j?\nAnswer: -28320*j**3 + 60*j**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -207*-3.\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 276*c + 1251. Give j(-6).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6554.\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 0. Let p = -12 + 127. Let k = p - 116. Which is the closest to 0?  (a) f  (b) k  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -26*q + 5698. List the prime factors of q.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -19*w**2. Let d(x) = 0*x + 7*x - 6*x + 0*x. What is d(y(f))?\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -1 + 11 + -1 - (-325 + 305)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 2:43 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5356904\/99 at most as big as 54110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 102*m - 82*m - 21 - 39 + 20 wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 + z - 1. Let j(h) = -7*h**2 + 4*h - 4. Let s(b) = -j(b) + 4*x(b). Let v(w) be the second derivative of -w**4\/12 - 2*w. What is s(v(k))?\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/36*(-456)\/152?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2769 and 0.5?\nAnswer: -1384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/8)\/((-1)\/(-2)). Calculate the common denominator of -3*t*(-28)\/(-88) and 67\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of 4*k**7\/105 + k**4\/12 - 3*k**2. What is the second derivative of o(j) wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 (base 14) in base 8?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1887, -1890, -1893, -1896?\n\"Answer: -3*v - 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 20587 = -4*x + 20575, t = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -2*l + 4, -3*v + 4*l + 1 = -13. Suppose 4*s - j = 9, -15 = -v*s - 7*j + 4*j. Find the second derivative of -s*g**4 + 4*g + 2*g**4 - 3*g wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 188 = -80. Let j be (1\/(-1))\/(-1) + 2. Suppose 2*b - 35 = -5*p, j*p - 4*b + 3 + 2 = 0. What is the remainder when w is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -2. Which is the third smallest value?  (a) -4  (b) -8  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22908*i**2*l*y - 54*i**2*y**2 + 8*i*l*y**2 + 4*i*l + 8*i*y**2 - l*y**2 + 461*l + 7*y wrt i.\nAnswer: 45816*l*y - 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -163097 by 14827.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + b = -0*b + 176, 0 = -u - 2*b + 44. Let k = u - 0. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**4\/114 + 2*t**3\/57 - t**2\/19 - 4*t. Factor z(u).\nAnswer: -2*(u - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*c + 21*c = 36. Let k(z) = 18*z**3 - z**2 + z. Let o be k(1). Let i be (3\/9)\/(1\/o). What is the greatest common factor of i and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9536413 is divided by 9536362.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 31643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 70, 366, 896, 1660, 2658, 3890, 5356?\n\"Answer: 117*s**2 - 55*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1805249, 1805245, 1805243, 1805243, 1805245?\nAnswer: 1805249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -53808 + 5?\nAnswer: -53803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l + 0*l + 0*l - 1. Let r(b) = 2*b + 22. Let c be r(-10). Suppose -c*u - 3*u + 13 = -2*y, -5*y = 5*u - 20. What is o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of 0*g + 5\/36*g**4 + 1\/180*g**6 + 2\/45*g**5 + 0 + 22*g**2 + 2\/9*g**3. What is t in a(t) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -215606000 rounded to the nearest one million?\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -26  (b) 0.3  (c) 3308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1776828.\nAnswer: 2, 3, 263, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 3 - 3 + 2 + 0 - 1 - 5 + 4 + (1 - 4 + 1)*(5 - 4 + 0))*(5*i - i - 2*i) to the form r + s*i and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2421494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8264, 66218, 223522, 529850, 1034876, 1788274, 2839718?\nAnswer: 4238882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -588341589, -588341588, -588341585, -588341580, -588341573, -588341564, -588341553?\n\"Answer: m**2 - 2*m - 588341588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*-19 + (-37062)\/(-1914))\/(14\/2156)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/5 + 8964*c\/5 - 170677\/5.\nAnswer: (c - 19)*(c + 8983)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 6. Let l be p(5). Let r be 0 + (1 + 0)*l. Let i(u) = 7*u - 1. What is i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/4*16\/(-10). Let y = 1 - k. What is the units digit of 7 - (y - (1 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 970335671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.08, 5\/84, 0.4, 1 in descending order.\nAnswer: 1, 0.4, 5\/84, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 136565 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1326, -2652, -3982, -5316?\n\"Answer: -2*n**2 - 1320*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2\/3 + 8\/9*r + 2\/9*r**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5545 and 50?\nAnswer: 55450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -8*k**2 + 3*k + 1. Let r be i(-3). Let f be 4\/(-6) - r\/12. Suppose 2*t = -0*t + f. Is 3 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -77*t + 185. Let h be j(5). Is -195 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-163)\/(-1) + (-9 - -7). Let v = -81 + i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 698188\/2215 - 4\/443. Let l = n + -316. Let t = 8\/11 + -2\/33. Which is the smallest value?  (a) l  (b) -0.5  (c) -5  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4872996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 26276198 times 4\nAnswer: 105104792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1298 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-231)\/(-28) - (-1)\/(-4). Suppose 4*w + 32 = -4*o + r, 6 = -w - 2*o. Calculate the least common multiple of 4 and ((176\/w)\/(-4))\/((-2)\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*d*t**3 - 193*d*t**2 + 61203*t**3 + 1616*t**2 wrt t.\nAnswer: 36*d + 367218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 39480 and 16520.\nAnswer: 2329320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + sqrt(13) + sqrt(13)) - sqrt(143)\/(sqrt(11) + sqrt(539) + sqrt(11))) + -4 + ((sqrt(65)*-1*-4)\/sqrt(5))**2.\nAnswer: 53*sqrt(13)\/9 + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 - -131. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/(-4) + ((-11)\/22 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.632 rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/3*-1*(-882)\/(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 320 divide 39360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 1)*(1598*f - 3 + 0 - 1576*f)*(11 - 8 + 8) in the form a + d*f and give d.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/4332, -3\/8, -146 in decreasing order.\nAnswer: -1\/4332, -3\/8, -3, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1661 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -41846, -83623, -125402, -167183?\n\"Answer: -n**2 - 41774*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-700)\/(-5))\/7)\/((-56)\/4)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11226 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/5, 69159, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 5352?\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091 a factor of 3234815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2072913 at most 2073812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2564 is divided by 103.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 81, 4 in decreasing order.\nAnswer: 81, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -5 + 31 - 1 + 2 - 6*d. What is p(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*i**3 + 4*i**3 - i**3 + 2*i**3 - 31*i**2 as y*i**2 + h*i**3 + u + t*i and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 42502283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -33762, -37051, -40340, -43629, -46918?\n\"Answer: -3289*r - 30473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 9659996 = 2*m, -18*m + 22*m - 12879992 = 4*d. Round d to the nearest 10000.\nAnswer: -3220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401200 is divided by 133484?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**3 + 3*y**4 + 581*y**2 + 4 - 1156*y**2 - 2 + 576*y**2 - 4*y**4 as q*y**2 + u + h*y**3 + l*y + o*y**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u + 13. Let z be s(-8). Let w be 1 + 66\/42 + 6\/14. Put 1, z, w, -4 in decreasing order.\nAnswer: z, w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -29.05. Which is the fourth biggest value?  (a) -5  (b) h  (c) 2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 308100 and 31652400?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.01 + 0.01. Let j = k + -0.28. Let m = -0.2599979 - j. What is m rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 8\/5*r**2 + 8\/5*r**3 + 6\/5*r**4 + 0*r.\nAnswer: 2*r**2*(r + 2)*(3*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 54251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17.29 - -0.29. Let x = 13 + d. Sort 2\/5, -0.1, 9, x.\nAnswer: x, -0.1, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 2*b + 2. Let c be a(-2). Suppose -2*u - 12 = -c*u. Let j(z) = -2*z**2 + 2*z**2 + 0*z**2 - u*z**2. Let g(r) = -4*r. What is g(j(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 140\/3 + -45. Let b = -15352 - -15351.9. Put 2\/13, 2, b, k in descending order.\nAnswer: 2, k, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 588660225 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -5 + 0*x**3 + 0*x + 1\/6*x**2 - 1\/12*x**4. Determine t, given that k(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (197 + -168 - (16 - -1)) + -62 + -1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 2 v, and 1 w when four letters picked without replacement from wwwvbaawbv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/11  (b) 0.26  (c) 0  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7919 - 8000. Which is greater: d or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -233*p**2 + 608*p**2 - 279*p**2.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -15847*l**2\/4 - 15845*l\/2 + 2 = 0.\nAnswer: -2, 4\/15847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of 0*q**2 - 4\/3*q + 1\/12*q**4 - 1\/18*q**6 + 3 + 7\/9*q**3 - 1\/5*q**5. Find h, given that t(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -297*c**4*f + 6*c**3*f - 475*c**2 + 2*f wrt c?\nAnswer: -7128*c*f + 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -53 + 43. Let w be 23 + ((-8)\/f)\/(10\/(-25)). Put -4, 2, w in ascending order.\nAnswer: -4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 16. Suppose -2*k + k = -w*t - 731, 0 = -2*k - 2*t + 1502. Suppose 3*m - 1938 = -k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 - -2 - (-10 + -39)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u**2 + 309*u**3 + 781*u**3 + 12*u**2 - 2*u**2.\nAnswer: 1090*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 - (-149 + 3) - (17 - -16).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 11*j**2 - 10*j + 4. What is the units digit of w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*l - 29621 + 27349 = 0 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -231 - 10000?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 118296 and 270?\nAnswer: 1774440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*w + 74 + 22 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 23712 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 32*y + 1 + 2 as d*y + z and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 8) + 1 + (-2 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -5*z**3 + 7*z**2 + 5*z - 2. Let v(f) = -3*f**3 + 4*f**2 + 3*f - 1. Let h(m) = -4*b(m) + 7*v(m). Let j(x) = -2*x**2. Let n be j(-1). Determine h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = z + 8. What is the second derivative of -20*h**2 + z*h + 9*h**2 + 20*h**2 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.068 times -3\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**2 + 132*c - 132. Give f(45).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 + 1.88. Let o = d - -8. Let h = o - 9.5. Which is the closest to -1\/4?  (a) 3  (b) h  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-110)\/2)\/((-1010)\/404).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-1)*-4*(-1)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 4 - 4)*(2*r + r - r - 2)*(-8 + 8 + 4*r) in the form y + u*r**2 + s*r and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (0 - 7) - (-3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 3:06 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 0*w = -156. What is the least common multiple of 11 and w?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 46, -12, -120, -284, -510, -804, -1172?\n\"Answer: -z**3 - 19*z**2 + 6*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1714 - 1306 = -2*b + 2*w, -1515 = -b - 4*w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 (base 10) in base 4?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -313*b - 698. What is u(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - 11*a - 15. Give d(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (65 - 14904\/230)*(9\/6 + (-427)\/(-2)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.6 - 0.3. Let u be (-1 - 0)\/(24\/(-18)). Let s = 0.0711 - 0.5711. What is the nearest to u in 1, s, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - 127.\nAnswer: -126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*n**6*p**2 - 83894*n**6 - 96*n**2*p**2 + 3043*n*p**2 wrt n.\nAnswer: 480*n**3*p**2 - 10067280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence og when two letters picked without replacement from {f: 2, g: 1, o: 1, d: 1, m: 1, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8806976\/11 or 800633?\nAnswer: 800633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.9 and -53115.\nAnswer: 100918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 5*t**2 - t + 4. What is q(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9378239 (base 10) to base 14\nAnswer: -1361a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - ((18 - 6) + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 665063, 1330089, 1995117, 2660147, 3325179, 3990213, 4655249?\n\"Answer: t**2 + 665023*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 11. Let x = -5.04 - o. Let y = 0.06 - x. Sort 1\/2, -2, y in descending order.\nAnswer: 1\/2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/8)\/(2\/8). Suppose 7 + 12 = c*d + 4*t, 2*d = 3*t + 7. Let r = -6\/5 + 7\/10. Sort d, r, 4 in descending order.\nAnswer: d, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -z + 7, 7 = -2*z + r - 6. Let l = 140 + -140.1. Which is the closest to -1?  (a) l  (b) -1\/3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2. Let u(o) = -2*o**2 + 104037*o + 1. Determine u(p(v)).\nAnswer: -8*v**4 - 208074*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 11*f**2 + 24*f + 26. Give v(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/1924969 - 38318432921\/13474783. Are -2844 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m. Let j(y) = 42*y + 2. What is k(j(r))?\nAnswer: -84*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*l + 6*l + 21*l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 56, 291, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48032.\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is af5082 + -4?\nAnswer: af507e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 4*u - 1852 + 1874 = 0, 2*u - 14 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((650\/(-35))\/5)\/((-26)\/91))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 402\/9 + 5\/15. What is the highest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23785 is divided by 610.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 9*u + 10. Let y be d(-7). Suppose 0 = j - 4*j + m + 16, j = 5*m + y. Find the third derivative of -8*b**3 - 6*b**2 - 4 + 2*b**3 + j wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 5179 = 1461. What are the prime factors of o?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 390\/(-57720)*784\/(-49).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 6) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -100142 divided by 322\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 992910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/5?  (a) 0.416  (b) 3\/7  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f**3 - 3. Let z(n) = 8*n**3 + 6. Give 5*l(d) + 3*z(d).\nAnswer: 4*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 35296 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 7:03 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-3)*11\/((-22)\/3). What is the nearest to 2 in x, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 71.79663 decades?\nAnswer: 8615.5956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10, -36, -78, -136, -210?\n\"Answer: -8*h**2 - 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 770847 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-132)\/110*(-10)\/8. Let p be 1\/3 + 16\/6. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - m - 27 - 7, -3*p = 3*m - 33. Suppose -556 = 5*l - p*l. Suppose -3*w + l = 37. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -116, 5, -3, -5.\nAnswer: -116, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 5*q**2 + 6*q - 2. Let p be u(6). Let r be (2 - 1\/p)*2. Factor o**3 + 6*o**2 - 5*o**5 - 7*o**3 - 9*o**4 + 3 + 9*o + 2*o**r.\nAnswer: -3*(o - 1)*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 51*u**2 + 228*u - 293. Calculate z(-5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 503495458 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + 0 + sqrt(425) + sqrt(425) + -5 + -4)**2 + (sqrt(425) + 1 + sqrt(425) - sqrt(425))*6 + (1*sqrt(425) + 0)**2.\nAnswer: -240*sqrt(17) + 4337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 - 4)*(-85*v - 7985*v**4 - 8021*v**4 + 16029*v**4) as r*v + a*v**2 + j*v**4 + p*v**3 + w and give r.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -188 (base 10) to base 6\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 93  (c) 0.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 12:40 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 230891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 9:28 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141781712.\nAnswer: 2, 463, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**4*t*t*t**(-3)\/t)\/((t**(-3)\/t)\/t**(2\/5)) assuming t is positive.\nAnswer: t**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 37693441813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 21*p + 161. Give i(0).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zcsuccusczzcsumc. Give prob of sequence uc.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -17*r + 120. Let j = -7795 + 7802. Determine h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2012*b + 2021*b = 5*i + 4 + 26, -5 = b for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*h - 121*h + 21 = 0. Suppose h*q - 8*q + 10244 = 0. Round q to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7179 + 129169\/18. Let l = 27233 + -653701\/24. Calculate the common denominator of o and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 38*r - 566. Give m(10).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wu when two letters picked without replacement from oudwueq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 98070 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2. Suppose 0 = -2*o + 3 + 3. Suppose d = -o*d + 16. Let i(b) = -d*b**2 - 7 + 7. What is w(i(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*y**4 + 42*y + 13740 + 865 - 6994*y**3 + 13991*y**3 - 6998*y**3 + 6*y**4 wrt y?\nAnswer: 12*y**3 - 3*y**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 699449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 15*d**2 + 18*d + 33. Suppose 0 = 14*k - 23 - 33. What is the remainder when k is divided by w(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**5\/3 + 2*x**4 + 5*x**3 + 8*x**2\/3.\nAnswer: -x**2*(x - 8)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1749 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47, 48, 49?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4464889 and 104.\nAnswer: 35719112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 8, y: 2}. Give prob of picking 1 y and 2 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 + -4)*1 + 6. Let j = 4 + -2. Sort y, -4, j.\nAnswer: -4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57451992 divided by 6207\nAnswer: 9256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**2 + 6*j - 16. Let o be x(3). Solve 5*y + o = -0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8979 + 0.089?\nAnswer: -8978.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*m**2 + 9*m**3 - 11*m**3 + 2*m**2 + (-2*m + 2*m - m**2)*(0 + 2*m + 0) - m**3 - 3*m**2 + 3*m**2 to the form h*m**2 + z*m**3 + c*m + g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 2*x + v - 173, 5*v + 470 = 5*x. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(57)\/(sqrt(33)\/sqrt(44)))**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24477 is divided by 159.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7)\/s)\/s*(s**7*s)\/s*(s**(-3)\/s*s)\/s*s**(-3\/5)\/s*s assuming s is positive.\nAnswer: s**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m**2 + 7*m. Let i(x) be the first derivative of -x**6\/360 - 3*x**3 + 31. Let t(r) be the third derivative of i(r). Determine p(t(s)).\nAnswer: -6*s**4 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 1125*w + 5882. Determine a(-5).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qxlxuuxqululqxq. Give prob of picking 2 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/2 + 2779*k - 127305\/2.\nAnswer: -(k - 5535)*(k - 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -304 + 335. Calculate the highest common factor of s and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -42, -1\/3, -1\/59, 3 in ascending order.\nAnswer: -42, -1\/3, -1\/59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*j + 2*h = 22, -60*j + 5*h = -65*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1257.99999067 - -1258. What is d rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.04, -1433, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*w + 3 = -64*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 28*m**2 - 54*m - 49. Let w be q(-26). Let d be w\/5*30*1. Put -3, d, -4 in increasing order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7702*z = 7707*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from ggd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 253, -7, 0, -1 in descending order.\nAnswer: 253, 5, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 404728501 and -0.2.\nAnswer: -80945700.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.07 + -23.07. Let n = 25 + f. Which is the closest to 1\/3?  (a) -2\/5  (b) 2\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58199.59 decades to months.\nAnswer: 6983950.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 15 = 4*n - 32, 0 = 2*s - n + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3846 and 16666?\nAnswer: 49998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 238797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-4)*368\/((-196)\/49).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 583433663?\nAnswer: 23, 25366681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 + 21. Let u be l\/5 - (-4 - -2). Let c be 2 - 4 - 0\/u. Round c to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 - 2*d + 2. Let v be x(-3). Let g(o) = -196*o - 5290. Let p be g(-27). Sort v, -4, p, -3 in descending order.\nAnswer: p, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1735 or 0.3?\nAnswer: 1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -30.7037598 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -387*x - 432 = 402*x - 825*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -10031  (b) -2\/9  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.2, -13 in ascending order.\nAnswer: -13, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s + 4, 0 = 5*z - 3*s - 566 + 538 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 19.9. Let u = b + -2. Let o = 172\/165 - 39\/55. Sort o, u, 2.\nAnswer: u, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7048 is divided by 105.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**3 + 73*i**2 - 36*i + 38. What is f(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**3 + 26752*p**2 - 20050324*p + 3999501912.\nAnswer: -4*(p - 5862)*(p - 413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/4823 and 19\/6201?\nAnswer: 43407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -103.2 or -0.2?\nAnswer: -103.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u**2 - u + 1. Let d be y(2). What is the smallest common multiple of (-3)\/d + 1\/(-3) - -11 and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 2*s + 8. Let h(f) = 2*f**2 - 2*f - 9. Let w(a) = -a**2 + 142*a - 3108. Let j be w(27). Determine j*h(d) - 4*z(d).\nAnswer: -2*d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/14 + 182\/(-4). Let u be l*4 - (-2 + 2). Is 20 a factor of -1*u\/(3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 134*o**4 - 26801*o**3\/2 + 26448*o**2 - 26461*o\/2 + 49 = 0. Calculate o.\nAnswer: 1\/268, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -98, -138, -162, -164, -138?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11832 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4\/3, 202, 1, 2\/2225?\nAnswer: 2\/2225","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*a + 142, -4*a + 9*a + 343 = -2*j. Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 d, and 2 y when four letters picked without replacement from dqyqqqqzdyydyyqd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 116 and 1509044.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 12 - 5 = -3*m, 0 = -2*m + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -10?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 279653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 169630 - 1696301\/10. Let u = 475\/4 + -121. What is the common denominator of u and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*b - 20*b + 2 + 53*b + 29*b to the form p*b + s and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*n**3 + 6717*n**2 + 5028*n - 1677.\nAnswer: 3*(n + 1)*(n + 559)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8486335410 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**3 + 357*s**2 + 2293*s + 442490. Give u(-179).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 11:29 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -19, -35, -55?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -31 - 2c?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 8*x**3 + 2*x**2 + x - 1. Suppose 5*t + 25 = 0, -3*l + 9*t - 11*t = 13. Give n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 155\/93*4\/12.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(17)*-2 - sqrt(17)) + 0)**2)*2*-6.\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.38404 * -1283\nAnswer: -492.72332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 135673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2 + 0*r + 2*r**2 + 0*r + 5*r. Let h be 45\/(-12) + 1\/(-4). Let v be y(h). Solve v = 2*f + 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**3 + 3*w + 1. Let i(h) = 2*h**3 + 2*h + 2. Let f be (48\/(-40))\/((66\/(-20))\/(-11)). What is f*d(u) + 5*i(u)?\nAnswer: 2*u**3 - 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17770723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 71062 (base 8) in base 12?\nAnswer: 14b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0, 445, -10\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4 + (sqrt(1872) - (sqrt(1872) - (-2 + sqrt(1872)*1))**2)).\nAnswer: -60*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -l**8\/21 + 11*l**4\/24 - 21*l**2. Find the second derivative of y(c) wrt c.\nAnswer: -320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1532036 is divided by 609?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-24)\/3 + 18 - -99 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3076 divided by -4.\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + 12*u**2 - 3*u - 3. Suppose -12*w + 9*w = 6, -4*w = 4*p + 44. Let i be a(p). What is the greatest common divisor of i and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 13*c**2 + 176*c - 13. Determine r(-14).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1491901.5 to the nearest 10000.\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10839 - 9?\nAnswer: -10847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 4. Solve 5*u + 10 = 0, y*i = i - 2*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 10*q**2 - 3*q - 5. Let r be n(-10). Solve -4*u + r = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 1, t: 1, z: 2, s: 2, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -340a5?\nAnswer: -340a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**2 - 19*d + 47. Let p be g(6). Suppose p*n - 27 = -52. Put -4, -21, n, 0 in decreasing order.\nAnswer: 0, -4, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + p**4 + (2*p - 2 + 2)*(2*p**3 + 1 - 1) + 5*p**2 + p**4 + 2*p**3 - 4*p**2 - p**3.\nAnswer: 6*p**4 + p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5475757 + -10475757. Round h to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 52664328 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3500 divided by 700\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5, 4, 35, 100, 211, 380?\n\"Answer: 2*i**3 - i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73.9858*-0.5.\nAnswer: 36.9929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 - 4*f + 4. Let r be n(-4). Is 2\/r + (-315)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -3\/83  (b) 5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4113487?\nAnswer: 7, 47, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -714\/11 and -65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -y - 5*r, 4*y - 1 = 2*r - 5. Let g = -12906 + 12902. Which is the closest to 0?  (a) 0.2  (b) y  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + 10*v - 9. Let o be (25\/(-2))\/(4\/8). Let i be (-1)\/4 + o\/(-4). Calculate the remainder when z(i) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -9, -10, -1, 1, 24 in descending order.\nAnswer: 24, 1, -1, -2, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 279 and 3290557?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -12*j**2 - 51*j - 27. Give r(-5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(-123 + 69 - 31*n + 44).\nAnswer: 31*n + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 886 is divided by 181.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -42090805, -42090806, -42090807, -42090808, -42090809, -42090810?\n\"Answer: -a - 42090804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, 12, 30, 64, 120?\n\"Answer: y**3 - y**2 + 4*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18.59 - -363.41. Which is greater: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k. Let z(i) = -21*i - 7. Let a(q) be the third derivative of -7*q**4\/24 - q**3\/3 - 8*q**2. Let d(s) = -14*a(s) + 4*z(s). Calculate d(h(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3*o + 112. Let b = o - 558\/5. What is the third smallest value in 0, -5, b, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 2 + 1012*a**3 + 533*a**3 - a.\nAnswer: 1545*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 7860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37179)\/(-1944) + 14\/16 - 37.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6458808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 210053.6307 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5557696 and 68063.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-36)\/(-19) - 42\/(-399). Suppose -3*n - 14 = -44. Solve -x*w = -0*w - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -1. Let u(t) = t**3 - 3. Suppose 2*o - 2 = -0*o. Let g be o + -1 - (0 - 2). Let n(b) = g*m(b) - u(b). What is the first derivative of n(z) wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51113.\nAnswer: 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 272, 539, 806, 1073?\n\"Answer: 267*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2007722 and 107803?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 220 and 1820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - 2*z - 2*z)*(-5 - 2 + 2)*(-2 + 10*z - 13*z + 0) in the form w + x*z**2 + t*z and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13*(-7)\/2730)\/(2\/18)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0296493012 - 0.02965. Round a to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 3*w - 63, 5*w - w + 3*i = 95. What is the remainder when 60\/(-40)*(4134\/(-18) + 7) is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*f - 1848 = -110*f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 12327 and 0.\nAnswer: 12327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*m - 3. Suppose -2*g = -4*a + 12, 5*a - g = 4*g + 5. Sort m, a, 4 in increasing order.\nAnswer: m, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2227992*o**4 + 6*o**3 - 62440726*o**2 wrt o.\nAnswer: -53471808*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*w + 5 = -130 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3447, 13907, 31555, 56565, 89111, 129367?\n\"Answer: 29*j**3 + 3420*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -5*j**3 + 5890*j**2 - 34225*j - 1095820 = 0.\nAnswer: -11, 17, 1172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/6*3\/(-6)*-1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131012 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -181.4 - 609.45. What is b rounded to the nearest 10?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -167*c*t - 223319752*c + 1917117*t**2 wrt t.\nAnswer: -167*c + 3834234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2*58\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-81)\/135*6\/(-45)*70\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - 5*b**2 - 7*b - 6. Let g be u(-4). Suppose 2*d + 4*i - 34 = 0, -d + 4*i - g = d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 7672 = -19937. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 124  (b) 5  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -15. Suppose 5*z = m - 12, 5*m - 3*z - 6 = 10. Suppose -5*l - 33 = -m*i, -2*i = 6*l - 4*l - 68. Calculate the remainder when i is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 45*r**2 + 1050*r - 13216. What is g(59)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10061076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16919\/16 - 1059. Calculate the common denominator of -21\/8 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1244\/(-6330)*70\/77. Let u = -2\/633 + h. Is u not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2)*g**(4\/11)\/g)**(-3\/17))**35 assuming g is positive.\nAnswer: g**(3045\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 682.1169 kilometers in nanometers?\nAnswer: 682116900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**(1\/4))**(2\/15))**11\/((z**(-1))**(2\/125)\/((z\/(z*(z\/(z\/((z\/z**(-3))\/z))*z)\/z*z))\/(z*z**(-2\/11)))) assuming z is positive.\nAnswer: z**(-4131\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 4:07 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w + 13. Let s be y(10). Let p(b) = 8*b - 20. Let a be p(s). Sort a, -0.6, -1\/6, -0.1 in ascending order.\nAnswer: -0.6, -1\/6, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 5) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 716484, 2865908, 6448282, 11463606, 17911880?\n\"Answer: 716475*p**2 - p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, s: 3, m: 1, p: 1, l: 2}. What is prob of sequence yl?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-4)\/v*v*(v**(7\/3)\/v)\/v)\/(v*v**1*v*v*v)**(-36) assuming v is positive.\nAnswer: v**(535\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*j - 9. Suppose 3*k = -v + 11 + 8, 2*k - v - 6 = 0. Suppose 59 = k*w - 1. Solve t - j = -5*l + w, 3*l + 3*t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2024)\/759*6\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6, 14, 34, 72, 134, 226, 354, 524?\n\"Answer: x**3 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -99, -138, -177, -216, -255?\n\"Answer: -39*r - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 - -10. Let g = -172 - -180. Suppose 3*i - g*i = 0. Sort -4, x, i, 1.\nAnswer: x, -4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*x**3 + 2433*x**2 - 1254*x**2 - 1178*x**2.\nAnswer: 162*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 310948, 310975, 311018, 311083, 311176, 311303?\n\"Answer: x**3 + 2*x**2 + 14*x + 310931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u + 6. Suppose -2*w - 6 = -20. Let o(j) = -j + 2. Give w*o(d) - 2*m(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -17*k**3 - 6*k**2 + 4*k - 6. Let v(h) = 33*h**3 + 11*h**2 - 7*h + 11. Determine 6*v(q) + 11*y(q).\nAnswer: 11*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*d + 2784 = 36*d - 3*a, 4*a = -d + 908. What is the least common multiple of d and 33?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 10:04 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 10:36 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 26*p**2 - 28*p**2 + 6 + 45*p**4 to the form f*p**3 + y*p**4 + s + a*p + w*p**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 392 divide 90956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 - 248 = -17*v - 116 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216307753 is divided by 215876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - (396 + -1))*(-36)\/9 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2987 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/11)*q**2\/q assuming q is positive.\nAnswer: q**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 28*g + 3*g - 18*g + 1 in the form i*g + u and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -12*i**3 - i**2 + 136*i - 306. What is k(7)?\nAnswer: -3519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-28*2)*(-6)\/1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1030 (base 6) to base 15.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43*t**2 - 3*t**2 - t**2)*(-5*t**2 + 11 - 11).\nAnswer: 235*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 - 9*y + 12. Let u be s(8). Let q be (154\/8)\/7*4. Is -1 - -1469 - ((q - u) + -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g*g**37)\/g*g**(-8))\/((g\/g**(10\/7))\/g*g**(-3\/4)))**(-2\/5) assuming g is positive.\nAnswer: g**(-901\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -254 times -759?\nAnswer: 192786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*10.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/5863 + 5871\/23452. What is the biggest value in v, -0.1, -5, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4985 + 31.00579. Let y = 30.5 - b. Round y to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -108560 + 6730545\/62. Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 2*sqrt(98))**2.\nAnswer: -84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -19*a**3 - 11*a**2 - 2*a - 159. Let c(d) = 4*d**3 + 2*d**2 + 32. Let o(q) = -11*c(q) - 2*u(q). What is the derivative of o(k) wrt k?\nAnswer: -18*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of x**5\/15 + 3*x**2. Let i(k) = 28*k**2 - 2*k. Give i(r(q)).\nAnswer: 448*q**4 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 8, 17, 26?\n\"Answer: 9*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5070 and 260?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 7334*k + 36699. Calculate p(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/((-3)\/9) - -1. Let s be 11*((-2)\/(-12) + (-5)\/(-6)). Solve m - s = i*m + 2*q, 3 = -m - q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of f**6\/720 + f**5\/20 - 5*f**4\/12 - 3*f. Let v(u) be the third derivative of t(u). Let z be v(-3). Solve -h = z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 329560784?\nAnswer: 2, 7, 53, 59, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -600, -597, -594, -591?\n\"Answer: 3*y - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 8:25 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6914960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368 and 87400.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -v**4\/4 - v + 5. Let h(i) = -5*i**3 - 4*i - 7. Let m(n) = n. Let p(t) = h(t) + 6*m(t). Give -p(o) + 6*u(o).\nAnswer: -o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**4 + 84*p**3 + 572*p**2 - 1380*p + 728 = 0?\nAnswer: -7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 5*x - 1018, 145 = 2*x - u - 261. Suppose -7*k + 2*k + 306 = 4*b, 0 = 2*b - 2*k - 126. Calculate the remainder when x is divided by b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35*6\/(-10))\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8.852161 days?\nAnswer: 764826710400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 + 53 + (-1 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 214 - 213. Sort -2, d, -4, -3 in descending order.\nAnswer: d, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -480206*p**2 + 480231*p**2 + 1 - 1 + 111*p + 84*p as c + g*p**2 + y*p and give y.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -287, -1188, -2729, -4916, -7755, -11252?\n\"Answer: -o**3 - 314*o**2 + 48*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 18. Let q(s) = h - 49*s + 3 + 47*s. Let y be q(-7). What is the greatest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 56497*o - 4. Let g(q) = 136*q**2 - 5. Determine w(g(u)).\nAnswer: 7683592*u**2 - 282489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xkkxxxxkxxxxxxkxxk. Give prob of picking 1 x and 2 k.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and -1.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2696.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 78922*j + 160685.\nAnswer: 78922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -5*w - 2617, 0 = -4*w - 13 + 9. Is k a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -1395*g**4\/8 - 1585*g**3 - 194*g**2 - 4*g. Differentiate d(z) with respect to z.\nAnswer: -4185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 308 + -304. Determine c, given that 2*c**3 + 28*c**3 - 3*c**l + 55*c + 55*c - 99*c**2 + 25*c - 27*c = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**3 - 4*n**2 - 2*n + 11. Calculate the smallest common multiple of 25 and h(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 28*v. Suppose j + 105 = 6*j. Let c be ((-3)\/2)\/(j\/(-112)). Let h(l) = -l - 2*l + c*l - 3*l. Give d(h(b)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 5  (b) -0.5  (c) 54  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2233 (base 10) in base 2?\nAnswer: 100010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7798, 30881, 69232, 122839, 191690, 275773, 375076, 489587?\nAnswer: 619294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from mmjjmjmjmjmmmjjmjjmm.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59749, -117387, -175015, -232627, -290217, -347779, -405307, -462795?\nAnswer: -520237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*1*-5*(1*sqrt(256)*-1 - sqrt(256))\/(-2*(sqrt(24)\/sqrt(3) + sqrt(8))).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 2*q**2 - 5*q + 4. Suppose -5*v + g + 26 = 0, -5*v + 4 + 16 = 5*g. Suppose -6*i + 4 = -v*i. List the prime factors of o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(3) - 2*sqrt(3)) - sqrt(3) - (sqrt(3) - sqrt(72)\/sqrt(6))**2.\nAnswer: -6*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and -1229.\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f**2. Suppose 0 = 12*h - 6*h - 156. Let d(j) = -31*j + 11*j - h*j - 4*j. Determine d(a(x)).\nAnswer: -100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 274610976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 1 + sqrt(1872) - sqrt(1872) - (-3 + -2*sqrt(1872)))**2.\nAnswer: 432*sqrt(13) + 7569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -632 + 631. Let i = 2\/31889 + -12691836\/223223. Let a = i + 57. What is the nearest to -0.2 in k, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeueeeeuue. What is prob of sequence eeeu?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 33609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 12 = -7*y, 172*m = 169*m - 4*y - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 4) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1712*l - 1647*l + 780 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*w + 155. Suppose -3*a + w + 114 = 0. Let p = a + -34. What is p rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1080 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -156, -159, -162, -165, -168?\n\"Answer: -3*n - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.216 + 0.024. Let o = n + -0.74. Which is the closest to 1\/20?  (a) 3  (b) o  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 20 = 4*h, 15 = 3*b + 2*h + h. Find the common denominator of 2*134\/(-104) - b and 119\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 - (-79 - -10) - 63\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(45) + 0 + sqrt(495)\/sqrt(11) + sqrt(5))*-6.\nAnswer: -210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2))**(-10)\/(f*f**(-3)*f)**(-9) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 612 = 4*a - 0*a, -5*a - 2*d = -772. What is the highest common factor of 39 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/78 and -14\/86619.\nAnswer: 173238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2. Let r(n) = 5*n - 1100. Determine -10*d(t) + r(t).\nAnswer: 5*t - 1080","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 1120 = 13*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of 2\/3*v**3 + 0*v + 0*v**2 - 1\/2*v**4 + 3. Determine j so that c(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, x: 2, o: 7}. What is prob of sequence aaxo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5785 - 5629. Calculate the remainder when 162 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**5\/20 + 425*s**4\/12 - 241*s**3\/6 + s**2\/2 - 30*s - 3. What is the second derivative of o(i) wrt i?\nAnswer: 6*i + 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12396 or -12394?\nAnswer: -12394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1679828117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 23903, 23909, 23915, 23921, 23927, 23933?\n\"Answer: 6*v + 23897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -104*x**4 - 102*x**4 + 5*x**2 + x**3 + 205*x**4 to t*x**2 + b*x**4 + m*x**3 + q + c*x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0186 times 0.2047859?\nAnswer: -0.00380901774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14935, 34725, 54515?\nAnswer: 74305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 5 = -345. Let x = 88 + -63. Suppose -7*l + 45 = -x. What is the highest common divisor of l and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 8:36 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -k**5\/20 + 3*k**4\/4 + k**3\/6 - k**2\/2 + 97*k. Determine i(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/((-20)\/5)*1. Let j(v) = 5*v + 3. Let m be j(k). Which is the nearest to -2?  (a) -2\/11  (b) -0.1  (c) m  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 1:05 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {q: 9, m: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91 and 1535209.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-559)\/2795)\/((((-14)\/(-7))\/158)\/((-2)\/2))?\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5169 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 600 is divided by 124?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.082  (b) -4  (c) 4  (d) -58  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -287 - -202 - (5 - (-21 + 9))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -97041, -94250, -91459, -88668?\n\"Answer: 2791*a - 99832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-133)\/(-6) + -2 + (-4)\/24. Solve 0 = 3*h, -3*j - h - 8 + y = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -43, -93, -163, -253?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of 3*g**4\/4 - g**3\/3 - g**2 + 121. What is b(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 30*n**2 + 129*n - 646. Let d be y(26). Solve 0 + 3\/2*m**d - 3\/2*m - 3\/2*m**2 + 3\/2*m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 142*q**2 + 3905*q + 70227?\nAnswer: 284*q + 3905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 8399322?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10116 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in -3\/7, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -221*q - 1137 = 189. Which is the second biggest value?  (a) q  (b) -0.06  (c) -4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -9*z**2 - 107. Let a(g) = 4*g**2 + 53. Determine -13*a(q) - 6*f(q).\nAnswer: 2*q**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174 = 57*h + 70*h + 5523 + 2271 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 671089409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 51189 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w, 4*o - 6*w + 7*w = 748. List the prime factors of o.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -m**3\/3 - 3*m**2 - 3*m + 5. Let d be x(-5). Suppose -f + 39 = d*f. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 12\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 + 0\/2 + 7 + 118313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 AM and 11:52 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2217000 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -7321 divided by -4434\nAnswer: 7321\/4434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 16083*g + 44 = -16088*g, -4*q - 14*g - 36 = -11*g for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + (-20)\/5)*6\/(-27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2949329 to the power of 1\/2, to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.02*-3.68.\nAnswer: -3.7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42 - -46. Suppose -h*t = 4*l, -5*t + 2*l = -0*l - 14. Let m(p) = 5*p**3 + p**2 + p - 1. Calculate the least common multiple of t and m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 318, 1250, 2182, 3114, 4046, 4978?\nAnswer: 5910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from lflflllllll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, g: 7}. What is prob of picking 2 j?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - o - 1. Let s be n(-4). Let v(d) = -9*d - 7. List the prime factors of v(s).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (2 - (-3)\/(5\/(-5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - g + 6. Let c be b(-3). Suppose -6*f + 48 + c = 0. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 4*d**2 - 10*d - 11. Let x be q(8). Let b be 0\/4 + -3 + -1. Does 8 divide x\/10 + (-6)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 790.180534268 - -335.819466385. Let r = -1126 + l. Round r to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 198 and 30360.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -28*x - 26. Let d be o(-4). Let c = d + -84. Differentiate 12*n**3 + c*n**2 + 16*n**3 - 11 - 2*n**2 with respect to n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67728925?\nAnswer: 5, 11, 41, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -150890 or -151040?\nAnswer: -150890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3 - 2 + 6 - 8*b + b**2 + b. Suppose v = 4*v - 30. Is x(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12\/7 in 1\/4, 0.2, 3\/7, -2, -1\/9129, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**2 - 4*u + 3. Let o be w(2). What is the first derivative of 0*r - 3*r**3 + o*r - 2 - 3*r wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 472 is divided by 109?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 99*z**2 + 5156*z - 53855. Give g(-61).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 3*k**2 + 3*k - 3. Let i be p(4). Let v(b) = 2*b**2 + 8*b - 7. Is v(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 2*l + 98, 175 = v + v - 3*l. Suppose -v = -5*t - 3*s, 46 + 34 = 4*t - 4*s. Let y = -303 + 512. What is the highest common divisor of t and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -49*w**2. Let l(t) = t - 1. Let p(f) = 3*f**2 - 3*f + 3. Let u(z) = -3*l(z) - p(z). Give c(u(o)).\nAnswer: -441*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4205555?\nAnswer: 5, 19, 44269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -2990.4583?\nAnswer: -2990.5583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3 - 2796*s**2 + 109062*s - 106264.\nAnswer: -2*(s - 37)*(s - 1)*(s + 1436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/4)\/((44\/(-66))\/((-32)\/9))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + -40516)\/3*14\/(-21). Suppose 0 = 5*f - j - z, 4*f + 2*j - 3604 = 2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1320 divided by 716\nAnswer: 330\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 182708009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = -2*z + 421. Let l = z - 137. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**3 - 185*h**2 - 1080*h - 900.\nAnswer: -5*(h + 1)*(h + 6)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 10*l**2 - 13*l - 16. Let v(j) = -19*j + 16. Let d be v(6). Let w be (-2)\/8 + (d\/(-8) - 0). What are the prime factors of z(w)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-369)\/18 - 1\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -9*b**3 - 39*b**2 - 42*b - 6. Let l(g) = -17*g**3 - 78*g**2 - 83*g - 11. Let r(m) = 6*l(m) - 11*w(m). Factor r(s).\nAnswer: -3*s*(s + 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-198)\/30)\/(108\/(-23580)) a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 754364?\nAnswer: 2, 13, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1605 < 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand w + 0*w**4 - 10*w**4 + w**4 - w**2 + 10*w - 10*w + 9*w**4 + (-w**4 + 2*w**4 - 5*w**4)*(1 - 3 + 4).\nAnswer: -8*w**4 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w = 10*w - 4. Let d be -4899997 - w*(27\/12)\/(-3). Round d to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1298 + -1?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 111 and -51.\nAnswer: -5661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 34037*s - 3676056. Determine y(108).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -7*i + 35, 0 = 2*y - 202*i + 200*i + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 329\/(-3) + (-57)\/9 + 6. Let h = a - -109. Let p(b) = -1717*b**3 - 4*b - 4. Is p(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 556114 - 0.4\nAnswer: 556113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15380, -15231, -14986, -14639, -14184, -13615, -12926, -12111?\nAnswer: -11164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1486*s**4 - 369*s - 2 wrt s.\nAnswer: 17832*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2120 and 1625110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7810.107 microseconds?\nAnswer: 0.00013016845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h + 1. Let t be s(1). Suppose t*y + 3 = -0*y. Let m be y\/((-1 - -10)\/(-3)). Put -0.2, m, -0.5 in increasing order.\nAnswer: -0.5, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/5)\/((-6)\/30). Let s be 1 + 2\/z*3. Let f = 5.064 - 0.064. Sort s, -4\/5, f in decreasing order.\nAnswer: f, s, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -1\/3*b**3 + 0 + 3\/2*b**2 + 1\/4*b**4 + 43*b. Calculate f(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(204) - (-1*sqrt(204) - sqrt(204))) + sqrt(204))*-3)\/(sqrt(12) - (sqrt(300) + sqrt(12))*-1).\nAnswer: -12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 6*w + 1. Determine o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**3*q**4 - 591614*p**3*q + 196129*p*q**5 wrt q?\nAnswer: 24*p**3*q**2 + 3922580*p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -399647409, -399647406, -399647401, -399647394, -399647385, -399647374, -399647361?\n\"Answer: l**2 - 399647410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 35*x**2 + 34*x + 72. Let b be y(36). Let n be -1 - (0 - (82 + -1)). Suppose b*v + 4*v = n. Solve -3*q = q + v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*h + 80*h - 5896244 = 44*h. What are the prime factors of h?\nAnswer: 2, 79, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -8)*-1 + -1 + 86\/16?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (-4480 - (-1 - -4)). Is h\/(-30) + 2\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 65, 67, 69?\n\"Answer: 2*u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 637*g + 746*g + 1 + (1 - 1 - 2)*(g + 2 - 2).\nAnswer: 107*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -49055\/13 equal to -3773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -18\/7, -1\/1971, -3\/7, -4?\nAnswer: -1\/1971","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39906109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 5*q - 7 - 2, -2*q = 2*t. Which is the closest to -2\/7?  (a) -2  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + (-40)\/16)*1708 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2969553\/8, 1, -2\/5, 2\/15 in decreasing order.\nAnswer: 1, 0.4, 2\/15, -2\/5, -2969553\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 481*w**4 + 2*w**3 + 7*w - 2 - 3*w**2 - 835*w**4 + 371*w**4 as j + z*w**2 + q*w**4 + b*w + t*w**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -45\/7, 1\/2, -4, -85 in ascending order.\nAnswer: -85, -45\/7, -4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22488342*q - 13336742.\nAnswer: -22488342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y - 3. Let g be w(-10). Suppose g*f = 9*f - 10. Let s be 2 + (-135)\/20 + (-1)\/4. What is the biggest value in f, 0, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - -5*-5*sqrt(68)) + sqrt(68))\/(4*sqrt(28)\/sqrt(7))*5.\nAnswer: -115*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -19, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + -0.1. Suppose g + 18 = -3*s, 2*s + 3*s + 30 = 5*g. Sort -1, y, -2\/9, g.\nAnswer: -1, -2\/9, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 358*l**2 + 207*l**2 + 122*l**2 - 2*l**2 - 2*l**2 + l**2 - l + (-5 + 5 - l)*(-3*l + 3*l - 2*l) as d + z*l**2 + q*l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07 - -3.44.\nAnswer: 3.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -2\/3, 2\/11, -0.1, 928?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3523393457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -40 in -0.1, -3, 0, 31, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 1029*g**4\/4 + 11*g**3\/3 - 2653. Find the third derivative of n(v) wrt v.\nAnswer: 6174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1ea - -d?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-7 + 17 + -9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279730417?\nAnswer: 47, 331, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 53ae + -19?\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 2 - (-5 + 2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17525 and 2399700?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, -20 in ascending order.\nAnswer: -20, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/k**(-5\/7))\/k**(-3\/2))**(-2\/27))**(4\/17) assuming k is positive.\nAnswer: k**(-236\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 2077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 89*w**2 - 19*w - 44. Is q(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -40, -171, -434, -871, -1524, -2435?\nAnswer: -3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 4:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 91*r - 28. Let x(u) = u**2 + 13*u + 8. Let g be x(-9). Let o(n) = -10*n + 3. Suppose -3*m + 2*v - 5 - 8 = 0, -5*m + v = 17. Give g*o(d) + m*b(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**5 + 2*r**5 + 2*r**5 + (r - 3*r + 0*r)*(0*r**4 - 2*r**4 + 0*r**4) + 4*r**5 + 3*r**5 - 5*r**5 + 3*r**5 - 1837 + r**5 + 1855.\nAnswer: 11*r**5 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 79321 * -1.\nAnswer: -79321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-9)*(-1728)\/384.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-6)*1*63\/(-273)*-13*74.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 0 - 15\/(-5). Let p be -2 + ((-9)\/a - -33). What is the highest common divisor of 70 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0*k\/(k\/(k*k\/(k*k*k*k**3*k)*k*k))*(k**(-1\/3)\/k)**(16\/7))\/(k**(-8)*k**(2\/25)\/k)**(1\/82) assuming k is positive.\nAnswer: k**(-255667\/43050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61560 by 3420.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -23*k**6\/30 - 15*k**2 + 3*k - 20. Let f(a) be the first derivative of w(a). What is the first derivative of f(j) wrt j?\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h**3 + 55*h - 55*h.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k = -32*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1075*m = -1071*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23843693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -10102223?\nAnswer: -10102213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -225 - -228. What is the third biggest value in f, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 8*u**2 - 4*u - 592. Let g(l) = -48*l + 11. Calculate 3*g(m) + 8*q(m).\nAnswer: -16*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1210) + 1*sqrt(1210))\/sqrt(2) + sqrt(20) + sqrt(160)\/(sqrt(16)\/sqrt(2)) - 3*((sqrt(270)\/sqrt(6))\/sqrt(9) + sqrt(45)\/(sqrt(27)\/sqrt(3))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/8  (b) -1\/5  (c) 0.2  (d) -7  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of (3 + (104 - -1))\/(4\/38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -182*y - 1143*y + 2063*y in the form l + a*y and give a.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 341619146*s*v**2 + 46*s*v - 987*s + 1144*v wrt v.\nAnswer: 683238292*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -65.9 - -69. Let f = -3 + d. What is the closest to f in 3, 2\/7, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j - 1. Let h be z(5). Let u = -3 - h. What is the second derivative of 1 + 4*l**4 - 1 - 2*l**4 - u*l wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46*(2046\/253 + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 11*m**2 + 15. Let h(v) = -3*v**3 + v**2. Let n be h(-1). Suppose 6*a = n*a + 8. Calculate the remainder when w(11) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 156*m - 3285. Determine j(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.5, 2\/19, 79, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -695397, -695400, -695403, -695406?\n\"Answer: -3*q - 695394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**2. Let b be 68\/18 + 12\/54. Suppose 3*x + 10 - b = -r, -9 = 2*r + 5*x. Let g(n) = -r*n + 5*n + 0*n. Give g(s(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 812 - b - 812.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -91  (b) 817  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**9*k**8\/k*(k**(-4)*k)\/k*k**(15\/8)*k*k assuming k is positive.\nAnswer: k**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w - 1111*w**2 - 1953*w**2 - 2196*w**2 + 435*w**2 to the form n + t*w**2 + u*w and give t.\nAnswer: -4825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 2*r**2 + r - 2. Let g be s(1). Suppose 0 = -g*c + 8, 4*j = -0*c + 3*c. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15096483 and 1677387.\nAnswer: 15096483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrfyfrrkyf. Give prob of sequence fy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -361*d*q**2 + 105*d*q - d + 478*q**2 + 109*q - 1 wrt q?\nAnswer: -722*d + 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1118*r - 1115*r - 30 = 4*c - c, 3*c + 2*r = -35 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 13466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**5\/5 + 764*h**4\/5 - 46128*h**3\/5 - 742028*h**2\/5 + 62809394*h\/5 + 523152528\/5 = 0. Calculate h.\nAnswer: -31, -8, 59, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*y + 2*y - y)*(-8 + 0 + 3)*(-8 + 0 - 2*y + 3) as o*y + d + f*y**2 and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 231269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 253\/1071 + -58\/153. Let j = 0.7 - 5.7. Put s, 0, j in increasing order.\nAnswer: j, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 + 85 + -1 + -20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(-15)\/(-42)*7. Let j(h) = 11*h - 5. Let w(b) = -99*b + 44. Calculate o*w(t) - 44*j(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 436885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -828\/7 + 4154\/35. Which is the closest to 0.1?  (a) 0  (b) j  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 716895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4795, -19105, -42929, -76267, -119119, -171485, -233365?\nAnswer: -304759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1520.8 - 1519.8. Which is the nearest to o?  (a) 2  (b) 3  (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/3 + (-445)\/(-120) + -4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 - 65. What is the biggest value in c, 2, -0.1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 4*v + c + 2277, 0 = 4*v + 2*c - 9078. Let i = 3851 - v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(((b*b**(-22))\/b)\/b*b))\/(b\/b**34) assuming b is positive.\nAnswer: b**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m - 14 = -2*t, -140*t + 2*m - 33 = -135*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/(-63) + (-1921)\/(-357))*(4 + -1). Solve -l*b + 24*b + 42 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 + 54*p**2 - 318*p - 374.\nAnswer: -2*(p - 17)*(p - 11)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 534 + 1 - (-2 + 11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 + j**2 + 20*j + 13. Let v(x) = x**3 - x**2 + 19*x + 12. Let g(l) = 4*v(l) - 5*z(l). Let w(d) be the first derivative of g(d). Solve w(n) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/8*12\/(-18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f. Let i(n) = -11*n - 9. Let s(b) = 20*b + 21. Let x(o) = 5*i(o) + 2*s(o). What is x(l(k))?\nAnswer: -60*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 388828 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zr when two letters picked without replacement from nyryryyznnyzsrv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1737 and 386.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -63, -175, -361, -621, -955?\n\"Answer: -37*o**2 - o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 7, j: 10, t: 2, e: 1}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 5*j**2 + 5*j - 15. Let r(a) = -11*a - 6. Give 7*f(q) + 6*r(q).\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -68.00000112 + 68. What is d rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26172989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 95142*j - 475703. Let a be x(5). Factor 3*y**5 + a*y**4 + 10\/3*y**3 - 2*y**2 + 1\/3 - y.\nAnswer: (y + 1)**3*(3*y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(1\/18))\/p**11)\/(p**(-4))**(7\/8))**(2\/35) assuming p is positive.\nAnswer: p**(-116\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - h = -16 - 30, 5*h = 2*w. Let x(k) = -7 - 12*k - 12*k**2 - 11 + 11*k**2. Let q be x(w). Solve 7 + 3 = -q*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide (1 + 1)*((-471665)\/(-34) + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 73 + -34. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 2*u**2 + 5*u - 4. Let p be z(3). Calculate the least common multiple of -2*(-2)\/p + 6 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(2\/11))\/m**(-6\/5)*(m*m\/(m\/m**(-6\/13)))**(2\/19))**(11\/5) assuming m is positive.\nAnswer: m**(33127\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 5*g - 31. Solve -f + 10 = -6*y + g*y, 0 = 3*y - 3*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1087)\/(-6 - (-1 + -4)). Let g = r + -724. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14, 14, 12, 8, 2, -6, -16?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4634205 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 80*d**2 - 264 - 272 + 533 - d to the form p*d + i*d**2 + v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/(-6)*(78\/12 + -5). Let d(k) = k**3 - 5*k**2 - k + 1. Give d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + m**2 + 2*m + 2. Let g be z(2). Let a be (-23796)\/(-135) + (-1 - g\/(-5)). Is a greater than or equal to 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w**2 + 70*w + 130. Let z be t(-33). Let a(f) be the third derivative of 5*f**4\/24 + f**3\/2 - f**2. Determine a(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.22 - 2065.38\nAnswer: -2063.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 725 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 3. Suppose 9 = -k*u, 0*s - 3*s + 2*u = -117. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i. Let q(p) = -5*p - 6. Let a(s) = 4*s + 5. Let h be -3 - 2 - 1 - -1. Let x(t) = h*q(t) - 6*a(t). Determine k(x(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3079 - 3079. What is the closest to 0.07 in -12\/5, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13740335831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 + 0.6. Let y(o) = -o**3 + 13*o**2 - 17*o + 61. Let t be y(12). What is the closest to r in 1\/4, -4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 + 16 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - r - 2. Let h(j) = -270*j**2 - 27*j - 54. Give -h(a) + 27*y(a).\nAnswer: 243*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqiqiqiiqiiii. Give prob of picking 2 i.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21 - -2. Calculate the greatest common factor of 92 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 5*t + 4*h - 6, 3*t + 53*h + 93 = 65*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 5  (c) 7  (d) -5  (e) 0.2  (f) 1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c + 20 = 0. Let f = -1 - c. Find the first derivative of 4*x**f + 5 + 2*x**4 - 6*x**4 - x**4 wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -138 - -141. Let c(q) be the first derivative of 2\/3*q**b + 4*q**2 + 8*q + 9. What is m in c(m) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(160)\/sqrt(5)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1441*y - 1431*y = 80. What is the remainder when 335 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -288 (base 12) in base 2?\nAnswer: -110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13669, -27340, -41011, -54682, -68353?\n\"Answer: -13671*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04724054, -0.3, 0 in decreasing order.\nAnswer: 0, -0.04724054, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9589219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5500)*-4 - sqrt(660)\/sqrt(432))\/(sqrt(11) + 4*sqrt(88)\/sqrt(8) + (sqrt(242)\/sqrt(11))\/sqrt(2) + sqrt(11)).\nAnswer: -241*sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {m: 3, j: 2, c: 7}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1583317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 299654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*p - p - 6*p)*(0*p**3 + 3*p**3 - 2*p**3) + 5*p**4 - 4*p**4 + 3*p**4 as r + k*p**3 + d*p**4 + m*p**2 + x*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -645, -2444, -4243, -6042?\n\"Answer: -1799*f + 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 49 = 6*d - d, 2*d = -3*a + 6. Let c = d - 2. Let g(l) = 631*l + 9. Let j(i) = 789*i + 10. Let w(m) = 5*g(m) - 4*j(m). Calculate w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2 + -8 - -4)\/(10\/(-87605)).\nAnswer: 7, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128408 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.00893 * -681\nAnswer: -6.08133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17813200 is divided by 188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.256 - 4.256. Which is the third biggest value?  (a) 3\/5  (b) -1\/4  (c) -0.2  (d) 8  (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from ebnbfxbfnnbbnfef.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 6*t**2 + t - 1. What is the remainder when -32*(-2)\/1 - (-6)\/(-3) is divided by k(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 58, 89, 192, 403, 758?\n\"Answer: 6*f**3 - 11*f + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 37*d + 929. Calculate i(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -19 + 20*b + 0 - 15*b. Let n be a(7). What is the third derivative of 11*x**3 + 0*x**2 + 5*x**3 + n*x**2 wrt x?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j + 4. Give x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -44*l**2 + 2264*l + 1248 = 0?\nAnswer: -6\/11, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*sqrt(3087) - (sqrt(63) + -1*sqrt(63) + -4))**2.\nAnswer: 336*sqrt(7) + 12368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1842498 is divided by 263214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**2 - t**3 + 4*t**2 + (0 + 0 + t)*(-2*t**2 - 3*t**2 - 3*t**2).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 p when three letters picked without replacement from {p: 3, b: 15}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f**3 - 3*f**2 + 4*f. Suppose -4*q + 2 = 5*b - 33, 27 = 2*b - q. Suppose b = 2*z + 5. Does 11 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/5915783 and 73\/3679445?\nAnswer: 2277576455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26965 is divided by 8983?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 127473612 to the power of 1\/2, to the nearest integer?\nAnswer: 11290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*y**2 + 7*y**2 - 25*y**2.\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30868477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 51115, -3, -45 in ascending order.\nAnswer: -45, -3, 51115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*sqrt(1900) - -4*sqrt(38)\/sqrt(2))*-3.\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -5 + 11 + (-17 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-17)\/(-34)*(0 + -12)*-3. Solve 10*i + 2 = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133c1 (base 13) to base 5.\nAnswer: 2121231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 9*f**2 - 12*f + 31. Let x = 82 - 75. Suppose -15 = -x*m + 4*m. What are the prime factors of h(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 211*c - 11037. Let v be b(115). Let a(w) = w**3 - w**2 - w + 2. Let r be a(0). What is the third smallest value in -1\/3, 1\/8, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1715 - -2314. Calculate the remainder when k is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -711970016.0000254 + 711970098. Let z = h - 82. Round z to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**2\/9 - 43964*h\/9 - 1269910\/3 = 0. Calculate h.\nAnswer: -21895, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-94)\/12 - 24\/144?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/6 + 404\/3. Let v = g - 42. Suppose -o + 2*m = 0, 4*o = -4*m - 98 + 170. What is the remainder when v is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12013412 + -13?\nAnswer: 12013344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5178789 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2, 0.3, -238, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - r = j - 22, -3*j + 2*r = -61. Let b = -11 + j. Let s = b - 10. Let d(u) = u**3 - u**2 - 5. What is d(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0)**(2\/145)\/(b**2\/(b\/(b\/(b*(b*b\/(b*b*b**0))\/b)))) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 19191544 to the nearest one hundred thousand.\nAnswer: 19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1651*l**2 + 96.\nAnswer: 3302*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 622 minutes after 1:28 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 29*o. Let i(m) = -m**2 + 4*m + 4. Let t(s) = -s - 1. Let b(q) = i(q) + 4*t(q). Determine v(b(c)).\nAnswer: -29*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305*s - 286*s - 152 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314 is divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u + 26. Let v be z(6). What is the tens digit of 144\/v*(-10)\/(-4) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 - 5*c - 4. Let y be f(-3). Solve -3*d + 5*r + 32 = 2, y*d - r = 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -126 - -130. Suppose c*d + 348 = -4*l, 4*l - 174 = 6*l - d. What is the units digit of (l\/(-2))\/(2\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(119)*4 - (sqrt(119) - -2*sqrt(119)*3))\/(sqrt(14)\/(sqrt(2)*-2 + sqrt(2) - sqrt(2)) + sqrt(7) - (sqrt(7) + 2*sqrt(112))).\nAnswer: 22*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -70, -90, -112, -136, -162, -190?\n\"Answer: -t**2 - 17*t - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1089 and 1001733?\nAnswer: 363629079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 0. Solve 24 - n = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, n: 1}. What is prob of picking 1 n and 1 d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/1334 and -29\/23598.\nAnswer: 684342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 152 + -76. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 2:48 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5 + 6 - f + 6 + 8. What is the remainder when 22 is divided by h(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**5 - 2*l**3 + 2*l**3)*(-33 + 54 - 31).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2 + c. Let d be q(0). Suppose d = -15*a + 69 + 156. Calculate the lowest common multiple of a and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 416952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.06  (b) 59  (c) -1\/4  (d) -2  (e) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -4. What is the remainder when 23 is divided by 24\/(m + 0) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 1285368.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 24*s + 1. Suppose 8 + 4 = 3*q. Let y = 6 - q. Let c be p(y). What is the greatest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 17, -5 in decreasing order.\nAnswer: 17, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 16 = t, -4*t + x + 46 = -8. Sort -47, 1, t.\nAnswer: -47, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d. Let n = 206 - 204. Let t(x) = -78*x**n - 72*x**2 + 144*x**2. Determine m(t(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l - 10. Let r be b(5). Suppose -2*w + 5*w + 2*p + 2 = 0, 4*w + 3*p + 4 = r. Suppose -199 = -w*d + 33. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1403 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -4. Let j be ((-18)\/15)\/(x\/(-20)). Solve 0 = -j*l - 15, 3*i - l + 2*l = -14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*c - 14*c - 80 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.67 - -1.33. Suppose 37*g = 35*g + 6. Suppose -5*l = -g*k + 97, -2*l - 34 - 11 = 5*k. Which is the third smallest value?  (a) m  (b) l  (c) 2  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45 - 12488*n + 144 - 48 - 51.\nAnswer: -12488*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*4\/56*20\/15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g + 14*g + 4*g + 9*g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*q - 143*q = 3*i + 5434, -3*i + 5 = -4*q - 99 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129 = -592*o + 581*o + 5*p + 25, -4*o + 6*o = -5*p + 52 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**5*(p*((p\/p**(2\/3))\/p)\/p*p*p)\/p*p*(p\/p**(-3)*p*p)**(1\/28))**(-2\/17))**16 assuming p is positive.\nAnswer: p**(-4400\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9017797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 109 + (-135 - 234780\/(-9035))\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -6*d**2 - 4*d - 4. Let m(q) = -195*q**2 - 240*q - 149. Let n(r) = -130*r**2 - 165*r - 100. Let c(a) = -5*m(a) + 7*n(a). Determine -4*c(y) - 45*w(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 6*g + 21, 3*q - 7459 = -4*g - 7448 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + v + 3. Let i be z(-2). Which is the third smallest value?  (a) i  (b) -2\/9  (c) -0.5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/111248673 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 0.7838, 2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 10:58 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**6\/40 - 13*n**3\/3 - 30. Let p(a) be the third derivative of r(a). Let k(o) = o. Determine k(p(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -1388*t**2 + 25*t. Let z(i) = 333*i**2 - 6*i. Let v(a) = -6*x(a) - 25*z(a). Let o(f) = -f**2 + 2*f**2 - 3*f**2. Give o(v(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2 - 3*p**2 - 4*p + 3*p + 4 + 2*p - 4*p**3. Let a be n(-3). Let l = 1076 + -1066. What is the highest common divisor of a and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -217*i + 18084. Determine c(85).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 38*i + 34*i + 0 + 43*i.\nAnswer: 115*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1404280918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4518 greater than or equal to -4518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + w)*(83*w - 185 + 185) to f*w + b*w**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 297 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + 0 + -5 - (-28 + (56 - 20)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 3*u - 3. Let q(g) = -8*g**2 - 28*g + 28. Calculate 6*q(c) + 56*s(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7523.\nAnswer: 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2201*x + 2878 + 81*x**4 - 166*x**4 + 487*x + 86*x**4 with respect to x.\nAnswer: 4*x**3 - 1714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/10 - 178*g\/5 + 1059\/10.\nAnswer: (g - 353)*(g - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 71470.1l?\nAnswer: 71470100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 23 = -5*z, 4*h - 1 = 2*z + 7*h. Let b be 8\/(-32) - 266\/(-8). Suppose 0 = 3*k - b + 9. Solve z*m = k*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -32, -9, 14, 37, 60, 83?\n\"Answer: 23*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 992, 938, 884, 830, 776, 722?\n\"Answer: -54*k + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 + 14 = -2*f - 28 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wxklwmqxlwwkklwxwxxk. What is prob of picking 1 k, 1 l, 1 q, and 1 w?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 189848 and 523331.\nAnswer: 79546312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 divided by -8?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -175, -5, 2, -1, -3 in decreasing order.\nAnswer: 2, -1, -3, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*k**2 - 594773 + 44*k**2 + 594773 - 4*k.\nAnswer: 122*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -23. What is the biggest value in 4, 0, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 58258 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 752.40914 - 14.80814. Let r = -738 + h. What is r rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: 3060*0.3\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 + 25. Let a(i) = -108*i. Let f be a(-1). Is 1\/4 - f\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + 9. Suppose s - 3*s - c = 0. Which is smaller: s or -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f**2 - 414*f + 11460. What is w(39)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000066784499 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 7, -3, 4, 3, 8 in ascending order.\nAnswer: -6, -3, 3, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 52\/14 + 6\/21. Suppose 0 = -5*t - 4*l + 87, 0 = -3*t - 2*l - 22 + 75. Suppose -m*p + t - 7 = -2*b, 2 = p - b. Solve -6 = -p*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-405)\/136 - (-306)\/102. Let i = a - 281\/408. What is the closest to -9 in 3, -1, 0.4, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -95, -261, -485, -767, -1107?\n\"Answer: -29*d**2 - 79*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -725 - -728. Differentiate 78*k**4 + k**h - 170 - 46*k**4 - k**3 - 34*k**4 - 132*k**2 with respect to k.\nAnswer: -8*k**3 - 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28452 - -29896. What is the remainder when h is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/176577233 or -1?\nAnswer: -2\/176577233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -65*x + 73*x - 32. Suppose 2*m - 11 = 2*p - 25, m = x*p - 37. Calculate the least common multiple of 16 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 - -41. Let q = m - 11. Find the first derivative of -2 - x + x + 10*x**4 + q wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 18. Let o be u(-20). Suppose 0 = o*n + y - 591, -3*n = 5*y - 786 - 104. What are the prime factors of n?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sqrs. Give prob of sequence qsr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**2 - 3*c**2 + 3*c**2)*(-c - 2*c + 2*c) - 66*c**3 - 61*c**3 + 52*c**3.\nAnswer: -71*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -52*i - 258. Let u be x(-5). Is ((-5)\/(45\/(-270954)))\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8530 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-10) + (-22)\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -113\/126 + 37\/7. Calculate the common denominator of k and 3\/(-5)*50\/32.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyuuyyuyt. What is prob of sequence tuy?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - r**2 - 7*r**2 - 2*r. Let w be 2 - ((-63)\/(-9) + -7)\/9. What is v(w)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*n, 67 - 56 = -i - 4*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1396 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -51 + 5416?\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78918835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-72)\/(-24) - 0\/(-2). Suppose 4*w - b*w = -t + 155, -t = -2*w + 307. Calculate the greatest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-2)*(-12)\/(-27)*213\/(-284).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l + 5 - 133 = 0. Suppose 2 = -l*p + 7*p + 5*c, 5*p - 3*c = 78. Calculate the remainder when 268 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q**(-17))\/q)\/(q*q**(-3\/7)))\/(q\/q**3)**(-9\/4) assuming q is positive.\nAnswer: q**(-295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(704)*-1)\/(sqrt(48)\/sqrt(108))*-5.\nAnswer: -300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 5*p + 21. Let w = p - -11. Let b(q) = 0*q**2 + 2*q**2 - 7*q**w + 3*q**2. Let v(m) = 5*m. What is b(v(c))?\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2020 is divided by 334?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-245))\/(1\/((-5)\/(-2))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 + 70 + 48*s + 3*s - 35 - 8*s to k*s + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 31498515 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11061486 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -4*r - 8, 623*n - 16 = 624*n + 5*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 70c0 (base 16) to base 13\nAnswer: 101a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -201 + 296. List the prime factors of v.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4 = 8. Solve -5*m = w - 6 - o, 2*m = -3*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -5*y + 66, -3*y - 2*y - q + 46 = 0. Let -127*w + 142*w - 5*w**2 + 0*w**2 - y = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 23 - 5*m)*(-2*m - 2*m + 2*m) + (11*m - 26*m - 13*m)*(-m + 3*m - 4*m) - m**2 - 2*m**2 + m**2.\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*k + 5 - 5 + (4 + 4 - 2)*(5*k - 5*k + 3*k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5831213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(((-2)\/10)\/1). Suppose c*r - 7 - 18 = 0. Let x = 5 + r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -305 - -309. Let d be 6\/(2 - t) - -8. Solve c = d*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3933 + 3885. Which is the nearest to 1?  (a) -3\/7  (b) -1\/8  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 47 and 6439.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4 and -13.4183096107.\nAnswer: -17.4183096107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b8ba + -1851?\nAnswer: 2a069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y + 6963 = 1463. Suppose y = -5*h + 7*h. What is the remainder when h is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - (-12 - (-40 - 24)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 times 0.1?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1126390285499 plus 0.024?\nAnswer: -1126390285498.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 2*a - 3. Suppose -4*p + p + k + 1 = 0, 4*k = -p + 9. What is the biggest value in a, p, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of 1\/6*x**3 + 0 - x**2 + 0*x - 1\/24*x**4 + 11\/12*x**5. Is t(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(55)\/(sqrt(45)\/sqrt(36)) + 3)**2 - (-4*(-3 + sqrt(396) + 1 - (3 + sqrt(396) + 1)))**2.\nAnswer: -470 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92581 is divided by 23074.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/77?  (a) 3  (b) -2\/3  (c) -4  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8059 + -78?\nAnswer: 7ed1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29*r**3*v**3 + 720*r**3*v**2 - 2*r**3*v + 4*r**2*v**3 + 2*r**2*v**2 + 5*r**2*v - 814*v**3 wrt r?\nAnswer: -174*v**3 + 4320*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 96*i - 500 + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -9*r**5 - 562597*r**4 + 687648*r**3 + 1000188*r**2 - 250048*r = 0.\nAnswer: -62512, -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 11*b**2. Let p(v) = 7*v**2 - 6*v - 94. Calculate p(q(c)).\nAnswer: 847*c**4 - 66*c**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*t + 12901 = -122*t - 6839 for t.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -18  (c) -0.06  (d) 5.7  (e) 4\/9  (f) -4  (g) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.23448 times 11.9?\nAnswer: -2.790312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17489124*y**3 + 39560331576*y**2 - 151354880*y + 144768.\nAnswer: 4*(y + 2262)*(2091*y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5851.278 years to decades.\nAnswer: 585.1278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*l + 66*l + 2898 = -196*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1668.2, -108, 2\/7, -5\/3?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 65*i + 368. Give l(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j + 3. Let v(h) = -1. Let x(s) = 3. Let k(b) = -11*v(b) - 4*x(b). Calculate -c(l) - 3*k(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 732996 and 2376.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 6*y - 1800 = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1367 and -33?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + -27. Let d = 0.59 - -5.01. Let y = d + -6. What is the smallest value in o, y, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.7 - 1.7. Let c be (-5)\/(-15) - 284\/(-6). Let o = -48 + c. Is o greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7*k**2 - 3*k + 1. Let t be (-2)\/(100\/250) + 8*2\/2. Let s(u) = -7*u**2 + 4*u - 1. Determine t*s(g) + 4*b(g).\nAnswer: 7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7693 divided by -4.\nAnswer: 7693\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3024 + 3024. What is the closest to -1 in y, -97, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3) - ((-468)\/54 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 4:32 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 3, 1 in descending order.\nAnswer: 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 = -3. Suppose -5*g + 638 = f, -1 + s = f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 3*v + 8686 = z, -v + 2 = 0. Suppose -4*o + z = -11*o. What is o rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*((-26)\/(-35) - ((-21)\/15 - -2)). Let x be 1 + (1 - 15\/8). What is the nearest to -1\/3 in x, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.977715l in millilitres?\nAnswer: 977.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, g: 6, l: 1, j: 1, i: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1817587967 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95911228 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q - 2. Let a = 2 + 1. Let z be p(a). Solve -3*k + t - 27 = -z*t, -1 = k + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 112.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 times 0.0656208?\nAnswer: 2.4279696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yxuyuj. What is prob of sequence yuj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 13*g. Let k(j) = -2*j + 2. Let m(t) = 6*t - 7. Let d(v) = -7*k(v) - 2*m(v). Determine a(d(n)).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/33946 and 75\/1950352?\nAnswer: 21453872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 185*o + 6780. Let a be i(49). Solve -a + 122 = 3*r - 4*y, 3*y - 1 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*3*(-6)\/162.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w - w**3 + 5 - 31*w**2 - 29*w**2 - 8 - 32*w**2 + 88*w**2. What is l(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 7130840 - 17530840. Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.388 + -0.288. Suppose 11 - 107 = 6*o. Which is the biggest value?  (a) t  (b) o  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 21621600 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (26 - 29) + 2 + 6 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -2 - 0) + 4 + -18 + (87 - 31).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**2 + 26*j - 42. Suppose 132 = 23*x - 11*x. Calculate the smallest common multiple of g(x) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18370573799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1725, 1499, 879, -333, -2335, -5325, -9501, -15061?\n\"Answer: -33*m**3 + m**2 + 2*m + 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -14667*t**2 + t. Let k be f(-1). Let u be 4 + -3 + 1 - k. Let n = 27670 - u. What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.50977 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lqc when three letters picked without replacement from {a: 1, y: 5, c: 1, q: 3, t: 1, l: 3}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -137 + 164. Suppose -30*x = -27*x - 3. What is the highest common factor of j and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 325515 - -112?\nAnswer: 325630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 3*f = -4, 5*z + 4*f = -5 - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -22.42 and -0.055?\nAnswer: 1.2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j + 0 + 0 + (-3 + j + 3)*(-3 + 0 + 5) + 14*j + 17 - 17 + 4*j - 2*j - 3*j to the form y + a*j and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 539642980?\nAnswer: 2, 5, 26982149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -385 or -40.6?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 0*i + 0 + 59\/3*i**3 - 11\/4*i**4 - 74*i**2. What is the derivative of l(p) wrt p?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2706 - 8114\/3. What is the second smallest value in 27, -2\/7, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 4*n - 45. Let m be p(-9). Solve 3 = -3*k - m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3943 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 0  (c) -7  (d) 29  (e) 23  (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -23056 <= -23058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.63 + -0.03. Let n = 3.4 + -4.5. Let a = n + i. What is the second smallest value in a, 2\/9, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1980 = -183*k + 178*k. Suppose 8*b - k = 3*g + 5*b, -522 = 4*g - b. Round g to the nearest integer.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + q - 25, -4*q = -f - 16. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 2*u**4 - 5*u**2\/2 + 6. Find the second derivative of t(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*p - 84 + 84)*(-9*p**3 - 13*p**3 + 19*p**3 - 21*p) + 2*p**4 - 3*p**4 - p**4 as f*p**2 + r*p**4 + d*p + v + a*p**3 and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.2, 422, 20\/271?\nAnswer: 20\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i**3 - 1804*i**2 - 6*i - 3046. What is p(-451)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101101101111001110000 (base 2) to base 15.\nAnswer: 1e910b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -11985.735 to the nearest ten.\nAnswer: -11990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5522*r + 340 = 5542*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f\/(f*f**(-2\/11)\/f)*f)*f**(1\/6))\/(((f**(-1\/4)\/f)\/f*f)\/f)**44 assuming f is positive.\nAnswer: f**(6401\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b - b + 0*b)*(-1 + 1 + 2*b) - 4028*b**2 + 1183*b**2 - 274*b**2 + 319*b**2 - 5824*b**2.\nAnswer: -8622*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 302*u - 2. Let n(i) = 512*i. Determine r(n(b)).\nAnswer: 154624*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + q**2 + 4*q + 12. What is the lowest common multiple of t(0) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, 1\/4, -44355.\nAnswer: -44355, -64, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 380 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1752 + 3071 - 755 = 226*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -90\/13, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 41, 77, 131, 209, 317, 461?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 8027716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 13*w**2 + 23*w - 3. Let k(g) = 7*g**2 + 12*g - 1. Let d(z) = 11*k(z) - 6*o(z). Let h be d(-5). What is the highest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-216)\/(-90))\/(2\/5). Let l(f) = f**2 - 6*f + 15. Is l(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 878 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 = 5*t - 98. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*y + 10 = 0, 2*y + 2 = -2*k - 18. Let l be (1 + -1)\/(k - -4). Suppose z = p + 28, -2*z - 2*p - p + 36 = l. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -290*t**4 + 325*t - 2. Let y(o) = -287*o**4 + 325*o - 3. Let q(k) = -3*b(k) + 2*y(k). Find the second derivative of q(j) wrt j.\nAnswer: 3552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72716 and 112.\nAnswer: 290864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1760185 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or 55?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1647221?\nAnswer: 59, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10735.97ug in grams?\nAnswer: 0.01073597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 3:38 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shhskwhkoooohk. What is prob of picking 1 o and 1 h?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -154*j + 270*j + 139*j + 109*j + 483*j to the form h*j + v and give h.\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f + 26*i - 28*i - 58, -3*f - 12 = 12*i for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 603*-1536\nAnswer: -926208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -0.2, 4, 1.4, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(171) - (-2*sqrt(171)*-2)**2) + (-1*sqrt(171) + 5)**2 + (1*sqrt(171)*5)**2 + 4.\nAnswer: -33*sqrt(19) + 7211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 70496 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -385  (b) -3\/7  (c) -2\/9  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1534 and (-2)\/(18890\/(-2360) - (-1 - (-21)\/(-3)))?\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 128697, -0.4, 2, 0.5 in ascending order.\nAnswer: -2, -0.4, 0.5, 1, 2, 128697","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o + o + 60. Let d = o + 108. Let k = d + -43. Solve r = -5*x + 16, -x + 2*r - 8 = -k*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.1 + 3.1. What is the third biggest value in 1\/5, u, -3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12861, -25721, -38581, -51441, -64301?\nAnswer: -77161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2550, 10247, 23076, 41037, 64130, 92355, 125712?\n\"Answer: 2566*z**2 - z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*r - r**4 + 3*r**2 - 4*r**4 + 0*r**4 - r**3 - 42*r to d*r**4 + v*r + j*r**3 + u*r**2 + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.023989 - -4.976011. Let z = -3\/14 - 2\/7. What is the third biggest value in 3, z, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -60?  (a) 5  (b) -1\/6  (c) -4  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(24\/(-4)) - 3\/(-6). Which is the second biggest value?  (a) y  (b) 0.1  (c) -0.6  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4267 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zznnznnnznn. Give prob of sequence zn.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4) - 5\/(-10). Suppose g = 5*y - 742 + 147. Let p be (-6)\/(-24) - y\/(-4). What is the greatest common divisor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g + 6*g + 33*g.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 457328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24*((-4060)\/(-270) + -15).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/4 + (-39)\/(-26). Suppose -4*f + 3*f = t. Solve -4*w - i + 9 = f, -13 = 4*w - 9*w - 3*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**21*v\/v**(9\/8)*v assuming v is positive.\nAnswer: v**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -8*r. Let y(v) = -v**2 + 4*v - 8. Let a(h) = 2*h**2 - 11*h + 22. Let l(t) = 4*a(t) + 11*y(t). Calculate d(l(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 3*c = 3, -8*g - 4*c - 31 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-6 - -4) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 34.5592mg?\nAnswer: 0.0000345592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3282, -6580, -9878, -13176, -16474?\nAnswer: -19772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 60*x**2 - 255*x + 104. Let d be p(64). Is d at least as big as 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -732 - -750. Let x be (3 + -10)*q\/21 - -28. Solve -2*d + x = 28 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92878*c**4\/3 + 4*c**3\/3 - 46439*c**2\/2 - 46445*c\/6 - 1\/3 = 0.\nAnswer: -1\/2, -2\/46439, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1069 divided by 19599\nAnswer: 1069\/19599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 832\/(-2080)*(4 + -3)\/(-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 296*j. Let b(p) = -3365*p**2 - 2*p - 8. Give d(b(l)).\nAnswer: -996040*l**2 - 592*l - 2368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 86, 8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2. Let q(i) = 30206*i - 10. Calculate q(n(c)).\nAnswer: -30206*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 1) + -40 + (-31680)\/(-1170)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3241 and 367159.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5658*b**2*g**5 - 1253*b**2*g**2 + 2*b*g**5 + b*g wrt g.\nAnswer: 339480*b**2*g**2 + 120*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -28*s - 17*s + 116*s + 113*s - 920 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.03, 31, 2\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 10*h**2 + 9*h + 32. What is the hundreds digit of p(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 18897.4.\nAnswer: 7558.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 greater than or equal to 4.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -76 + 78. Which is the closest to -0.1?  (a) 1  (b) d  (c) -14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -6*n - 11*n. Solve 5*u + n = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3365*x + 3379*x + 1582 = 0. Let d = 4\/9 - -2\/9. Which is the third smallest value?  (a) d  (b) -2\/7  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + x)*(-5*x + 3*x + x)*(2*x - 2*x + 2*x**2).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**2 - v + 2. Let o(q) = -136*q**2 - 98*q - 28. Let m(n) = -28*b(n) - 2*o(n). What is the second derivative of m(p) wrt p?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.089, -4, 0.5, 0.2, 3, 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 6:49 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 6*(4*sqrt(121)*2)\/((-2*sqrt(22))\/sqrt(2)).\nAnswer: -24*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2206 + 51195. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/5*(-30)\/(-12). Suppose z*l - l = 2*l. Suppose l = 4*x - 5*x - 13. Which is bigger: -25\/2 or x?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {y: 6, m: 4, n: 4}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.0468, 1\/5, -5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2740631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d - 2. Let s(l) = 4*l - 5. Let m = -690 - -683. What is m*y(x) + 3*s(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.51 + -1.91. Sort -0.5, w, 0.23, 4 in ascending order.\nAnswer: -0.5, w, 0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*f, 2*y - 6*y + 5*f = 0. List the prime factors of (1 - 0) + 1 + y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000765627 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129189*t**3 + 316475*t**3 - 2116*t**3.\nAnswer: 443548*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33322?\nAnswer: 2, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17544 and 14620?\nAnswer: 87720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001106027 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 323 - 252. Let z = -147 - -155. What is the remainder when j is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2404946 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 978\/388 + (-1420)\/68870.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8691444 less than 0.5?\nAnswer: -8691443.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2*b - 15 = 0. Suppose 10*i - 5*i - 25 = 0, -b*x + 25 = 4*i. Let c be x - (9\/7 - 0). Is -1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -69 and -245647 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3762*l**2 + 10*l - 12*l + 3078 + 3694*l**2 wrt l.\nAnswer: -136*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-1 + 4 - (3 + -2 - -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 6. Let p(r) = -6*r + 4*r - 3 + 6*r + 6*r**2. Let s be p(1). What is the tens digit of x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 6.09. Let p = 0.13 + o. Let j = p - -0.08. What is the closest to 1 in j, 0, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 + 39.5. Let x = 21059\/15035 + -2\/3007. Which is the third smallest value?  (a) -1\/7  (b) h  (c) x  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-2\/5))\/t*t*t\/t**6*(t*t**(-1)*t*t)**(-4\/3) assuming t is positive.\nAnswer: t**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 0.278\nAnswer: -1.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - -17 - (2 + 1 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7535*i**6 + 39*i**3 - 12336*i**2 - 39*i**3 + 1399*i**6 - 585*i**6 wrt i?\nAnswer: 1001880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 402 divide 1540062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -296*j**3 + 146?\nAnswer: -888*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - x + 30*x**2.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 0 + 12 = 0. Let g(h) = h - 5. Let y be g(d). Let u(k) = 8*k + 2. What is u(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 times 2.3927?\nAnswer: -102.8861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -335344231 - 25?\nAnswer: -335344300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2366369718?\nAnswer: 2, 3, 569, 693137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {v: 9, m: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -242*g + 501*g + 0*g**2 - 252*g - g**2. What is a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - 4*r + 4*r)*((2 + r**3 - 2)*(-3 + 1 + 1) + 0*r**2 + 2*r**3 + 0*r**2)*(4*r - r - r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 130128.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 11:17 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 505.18839 plus 0.4?\nAnswer: 505.58839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -219835944570 and 5.\nAnswer: -219835944565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -218 - -92. Let u be k\/35*15\/(-6). Solve -u*y + 15*y + 30 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 713 divide 89318223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 10:22 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/14)\/(1\/2). Let n = -1613 + 1613.5. Which is the nearest to 2\/3?  (a) x  (b) n  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - 12*y + 38. Let k be x(9). Solve 3 = -7*n - k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -4, 64, 224, 506, 940, 1556, 2384?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 11\/5  (c) -4  (d) 1.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 c, and 1 i when four letters picked without replacement from yxuyucucwuywwicww?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z**2 + 4*z + 1. Let f be r(2). Put -8, f, -0.1 in increasing order.\nAnswer: -8, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6525, 11923, 17321?\n\"Answer: 5398*g + 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5*x - 17 = 0, 0*x = 3*b + x - 25. Let r(v) = v - 17. Give r(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 3  (c) 1  (d) 0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 567458791 to the power of 1\/4, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2154103271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 31*g + 1326. Let m(s) = 272*s**2. Let x(v) = 21*v**2. What is g*x(o) + 4*m(o)?\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147532 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3463.69716ms to weeks.\nAnswer: 0.0000057270125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - -4) + 660\/(-75)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5*u**2 + 0*u**2 - 3*u**2 - 4*u**2. Let w = 0 + 2. Let h(k) = -k - w*k + 0*k. Determine h(s(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 15*q - 49. Let l be c(6). Find the second derivative of -13*i - 14*i + 29*i**5 - 35*i**l wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173023 is divided by 906?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*n - 336 = 85*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 154 + -157. Let i = 0 - 0. Let x = -1 - i. What is the nearest to x in -1\/2, y, -2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 132*m**2 - 270*m - 4. Calculate y(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 465 - 461. Solve -j*n + 2 + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 5. Suppose 10*h = 6*h + 12. What is the remainder when j is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5321284?\nAnswer: 2, 1330321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (144\/(-108))\/((-16)\/(-396))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 - 2*w + 1. Let t be (-2*(103\/2 - 1))\/1. Let o = -100 - t. What is u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.2*1.79\nAnswer: -2.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (42\/(-35))\/((-4)\/(-20))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q**3 + 7519659*q**2 + 15039309*q + 7519653 = 0. Calculate q.\nAnswer: -2506551, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -30*y**2 + 16965*y + 8562. Calculate a(566).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1325 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 43 - -216167?\nAnswer: 216221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y + 33 = 9*y. Let a(v) = v**3 - 19*v**2 - 19*v + 24. Let t be a(20). Let f = t - y. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -88, -130, -174, -220?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from erhryhygghgeryyhgohy. What is prob of sequence yh?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 4*q - 7 + 0 - 2 + 12. Let d be t(5). Let j = -1 - -3. Which is the nearest to 1?  (a) -6  (b) d  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 19*r - 66. Let y(o) = 18*o - 66. Let a(x) = 5*q(x) - 4*y(x). Let d be a(3). Solve -d*t - 9 = -5*s, 0 = -3*s + 5 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 20*a**2 - 37*a + 4. Let n be r(6). Suppose x - 6*x + n = 2*q, -5*x = q - 501. Is x < 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 8, m: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22320 (base 4) to base 14.\nAnswer: -37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*g + 33, g - 6*g - 2*n + 29 = 0. Let o be g*8*3\/24. Solve y + 5 - o = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 10*r**2 - 11*r + 10. Let a be p(9). Let v be (-3)\/a*4\/3 - 0. Factor -1\/4*d**2 + 3\/4 + v*d.\nAnswer: -(d - 3)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**3 - 4*b**2 + 3 + 5807708*b - 5807708*b + 16*b**4 as i*b + s*b**4 + j + t*b**3 + w*b**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n = -12*n - 364. Suppose n = g - 83. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29687557 is divided by 1145?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + 12*j + 13. Let m be f(13). Let a(y) = -7 + 14 + 3 - y - y**2. What is a(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 3:51 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 9. Let i = v - 13.5. What is the closest to 1 in i, -0.4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n - 1442*n**2 + 1209*n**2 + 2*n to the form u*n + t*n**2 + x and give t.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 42 - -19 - -114 - (-18 - -2)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1294, 1811, 2328?\n\"Answer: 517*t + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 0 - (1 - (1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 21*w + 10. Let v be k(3). What is the second derivative of v*g + g**2 + 21*g**4 - 44 + 86*g - 161*g wrt g?\nAnswer: 252*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 2*v + 0*v. Let h(d) = d**2 + 1. Let m(a) = 5*a**2 + 6. Let q(g) = -6*h(g) + m(g). Calculate n(q(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/8, 3\/391, 5, 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 369969 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 34*t**3 - 4*t + 21. Let b(x) = 33*x**3 - 5*x + 22. Let z(j) = 4*b(j) - 5*f(j). Find the first derivative of z(y) wrt y.\nAnswer: -114*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -353165.\nAnswer: 13\/353165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(70\/24) - (2 + 0)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 6*a**2 + 5*a - 16. Let t be q(-7). What is the closest to 2\/7 in t, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 4:49 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 17*q**3\/4 + 53*q**2\/4 + 55*q\/4 + 19\/4 = 0.\nAnswer: -19\/17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/((1\/(-6))\/(4\/(-16))). Suppose -1351 = h + 2*h - 2*i, h + d*i = -465. Find the common denominator of (-2)\/(-4)*-3*h\/459 and -9\/20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.41588493 to four dps.\nAnswer: -0.4159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 19 - -16?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**2 - 2*t**2 + 5*t**2 + (4 - 2 - 3)*(t**2 - 3*t**2 + t**2))*((-1 - 1 + 0)*(1 - 3 - 2) - 1 - 1 - 2 + 2 + 1 - 5) to g + x*t + l*t**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 22*p + 2. What is n(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y - 672*y**2 + y.\nAnswer: -672*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)*b*b*b**(-9))\/(b**(-7\/4)\/(b\/(b\/(((b\/(b\/((b*b**1*b)\/b*b)*b))\/b*b)\/b)))) assuming b is positive.\nAnswer: b**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*f**3 - f - 98 + 100 + 17*f**3 as i*f**3 + z*f + v*f**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g - 1. Let m be u(-7). Suppose -3*f + 3*p = -111, -4*f = -m*f + 4*p + 70. Let c = f + -23. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 377059232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2210 and 4052035?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7024, 7016, 7008, 7000?\nAnswer: 6992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(468) + 0 - sqrt(468))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13628147 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11882173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -10*p**3\/3 + 1. Let o(x) be the second derivative of x**3\/3 + 108*x. Determine g(o(h)).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/8768024 and 125\/48.\nAnswer: 52608144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 5*u**2 - 2*u - 4. Let b be v(-5). Calculate the remainder when b*(-2)\/(-16)*8 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a - 38. Let t be -7 + 3 + 2 - 168\/(-8). Let q be l(t). Suppose q*r - 13*r = 60. Calculate the greatest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 255 divide 197341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + (52 - (53 - -3))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 193 - 191 - 6*v - 266*v**2 + 6*v in the form n*v**2 + k*v + s and give n.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9148435.\nAnswer: 5, 37, 49451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 748122858236 - 13584414848273567\/18158. Let h = f + 2\/9079. Let x = -657 + h. Calculate the common denominator of x and -47\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 88 - 7894b0?\nAnswer: -789425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1704 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 7*c**3 + 36*c**2 + 302*c + 1129. Determine h(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -2 + 4. What is the highest common divisor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/(sqrt(7) - sqrt(252)))\/sqrt(12).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000021401 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5 + ((-3*sqrt(22))\/sqrt(11) - (3 + sqrt(98))))**2.\nAnswer: -160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-3))\/(2\/(-56)*-36)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4*w - 121 = 4*k, 5*k = 4*w - 150. Is -3 + (0 - (k + -2)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5277.6838 to the nearest one hundred.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.5819303l?\nAnswer: 581.9303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 + 26 + 15*o**2 - 80 + 29)*(4 - 2*o - 4).\nAnswer: -30*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 139890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 374*p + 290*p - 184*p - 871*p**2 + 195*p + 14*p wrt p?\nAnswer: -1742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-371)\/20 + 1\/(-5))\/(11 - (-2491)\/(-212))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h**3 + 1 - 1)*(371 - 86*h - 371) to the form j*h**2 + t*h**4 + d + n*h**3 + v*h and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*b*q - b*x**2 - b*x + 20*b - 4*q*x**2 - 19*q*x + 5*q with respect to x.\nAnswer: -2*b*x - b - 8*q*x - 19*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177631064.\nAnswer: 2, 13, 59, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/18 - (2 - (-82)\/(-24)). Let d = -44 + 27. Let q = 12 + d. What is the nearest to -0.1 in q, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27152, 108603, 244360, 434429, 678816?\nAnswer: 977527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11\/3?  (a) 26  (b) 0.2  (c) 2\/17  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96965 = -32*p - 97733 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 4140*p**2 - 4465*p**2 + 8603*p**2.\nAnswer: -2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -3*c - m, -5*c + 4*m + 21 = -42. What is the remainder when 23 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/(-110)*(-30)\/(-48).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 1752*i - 10520. What is x(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2 = 0, -2*u + 5*u + 5*a = 14. Put 0, u, 4, -1 in ascending order.\nAnswer: -1, 0, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10010 + -21121201111112?\nAnswer: -21121201121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 - 94*y**2 + 30)*(0 + y - 1 + 3).\nAnswer: -94*y**3 - 188*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2594*u + 28374. Determine l(11).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urru when four letters picked without replacement from {n: 1, g: 1, u: 4, t: 2, r: 2, x: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 556559, 1113355, 1670153, 2226953, 2783755, 3340559, 3897365?\n\"Answer: k**2 + 556793*k - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(-1 - (1 + 0)) - -23. Suppose 29*h - f*h = 5502. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (89\/178)\/(-1 - 1250\/(-1252)). Let n = -1567\/5 - s. Suppose 2*d + 6 = 0, -4*w = -0*d + d + 43. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 8*b**2 + 8*b - 1. Let d be w(-9). Let z = -8 + d. Suppose z = 3*p - 2*p - 20. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 0.1  (b) 7  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (3 - (0 + 2))) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(343) + -3 + sqrt(343) + sqrt(343) - ((sqrt(343) - sqrt(343)*1) + -1))**2.\nAnswer: -210*sqrt(7) + 3112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + -6 + 2\/2. Let n(s) be the first derivative of 5\/6*s**3 - m - 1\/4*s**2 - 1\/2*s - 3\/8*s**4. Let n(a) = 0. Calculate a.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -852*l - 417485. Determine v(-490).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-6) - (-16)\/12. Suppose 28 = a - y*i - 2*i, 4*i + 44 = 3*a. Suppose -o - 2*o + 134 = t, 0 = -2*t - a. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -70*g - 1. Let s(z) = 6463*z + 92. Let o(r) = -s(r) - 92*y(r). Let u(j) = -j**2 - 84. Give u(o(b)).\nAnswer: -529*b**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39.2204559 + -57666.5.\nAnswer: -57627.2795441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 26*z**2 - 37*z - 153. Is m(-7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4650 divided by 6?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -5*x**2 + 4*x - 3. Let p(y) = 6*y**2 - 5*y + 4. Let t(k) = 5*g(k) + 4*p(k). Let j be t(0). Is 1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**4 - 73420*v**3 - 20323508*v**2 - 1437261668*v - 2793816600 = 0. What is v?\nAnswer: -18075, -139, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9090*z + 27250*z - 9082*z - 9080*z - 13 - 3.\nAnswer: -2*z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(11*7\/231)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-8)\/(-14))\/((-7)\/(-49)). Suppose 7 = d*b - 1. Suppose 5*s - 44 = -2*x - x, b*s + 4*x = 12. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29 + 49. Let v be 0 + (m\/66)\/5. Let o = 23\/165 + v. Sort 2, o, -0.3 in increasing order.\nAnswer: -0.3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kzvinvkc. What is prob of sequence izcn?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.4 + -45.4. Let v = k + 40.6. Let j = -2 + 2.2. What is the biggest value in v, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 divided by -81.\nAnswer: -34\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*h + 24 = 0, 3 = 3*s - 4*h + 1. Let k(c) = 2*c**3 - 5*c**2 + 8*c + 6. Let b be k(s). What is the tens digit of (3 - 2)\/(9\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -935555*d - 2778142?\nAnswer: -935555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 7)*(4*l**2 + 4*l**2 - 5*l**2 + (-6*l + 2*l + 2*l)*(0*l - 2*l + l) + 0*l + 0*l + 3*l**2).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1660433 (base 8) in base 6?\nAnswer: 14210535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006274598 to 7 decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*x + 6, -o + 6 = -3*x + 4. Solve -o*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 4\/21, -0.5, 0.4, 25 in decreasing order.\nAnswer: 25, 14, 0.4, 4\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - ((sqrt(76)*-2 + sqrt(76))*6 - sqrt(76)) - sqrt(76)) + sqrt(76) + -5*(-1*sqrt(76) - sqrt(76)) + sqrt(76))\/((sqrt(4) - sqrt(144))*2*5).\nAnswer: -19*sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 288578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 3*i = -30. Suppose -i*x + 1670 = -0*x. Suppose -11*n + x = -150. What is the highest common divisor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, 51, 3\/31?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 496980 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.04834 - -0.04836767. What is p rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 3\/5, -2, 0.2, -24\/11, -5, -0.3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12855 and 7497036.\nAnswer: 2571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2*b - 16 = -b, -b = d - 8. Find the second derivative of -3*f**5 + 23*f**4 - 9*f - 23*f**d - 2*f**5 wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21159 divided by 3?\nAnswer: -7053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -71735.82 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c - 72 = -62 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 15*s + 150 = 0, 27649 - 27671 = -2*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -7*s**3 - 6*s**2 - s + 5. Let g(u) be the second derivative of u**5\/5 + u**4\/4 + u**3\/6 - 3*u**2\/2 + 2*u. Determine 5*g(f) + 3*t(f).\nAnswer: -f**3 - 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.56 and -0.132.\nAnswer: -0.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from huhkm. What is prob of sequence hkhk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 8*q**2 - 7*q + 2. Let p be l(7). Suppose 0 = 3*h - 2*z - 1, -z + p = 2*h - 8. Solve -3*x - h = 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -458, -938, -1418, -1898, -2378?\n\"Answer: -480*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23400 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 6. Let p be (4 + y)*(4 - 3). Let s be (5 - 2)\/(-1) - 0. Put -5, s, p in increasing order.\nAnswer: -5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + (sqrt(567) - sqrt(567)*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 981697960 to the nearest integer?\nAnswer: 31332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 3*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*720\/(-117) - -12) + 23\/((-6578)\/(-140))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35512, -70709, -105904, -141097, -176288, -211477, -246664?\nAnswer: -281849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (5 + -13) - 15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express p**4 + 4*p**4 + p + 109*p**2 - 108*p**2 in the form u*p**3 + z + r*p**4 + d*p + a*p**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -l**2*p**2 + 29*l**2*p + 1498*l**2 + 4750*l*p + l + 38 wrt p.\nAnswer: -2*l**2*p + 29*l**2 + 4750*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 divided by -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 40, 41, 52, 79, 128, 205?\n\"Answer: q**3 - q**2 - 3*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a - 3*a**2 - a**2 + 12*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**25\/m**0)**28 assuming m is positive.\nAnswer: m**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -2*h**3\/39 - 7*h**2\/13 + 16*h\/13 - 421. Solve j(d) = 0 for d.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -7. Calculate the least common multiple of k and (-4 - 2\/(-2))*(-33)\/9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4 and 53.6.\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*k**4 + 6612580*k**3 - 437252884790*k**2 - 1224363888220*k + 262362840135 = 0.\nAnswer: -3, 1\/5, 132253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -25 - -4*(-25)\/20. Which is bigger: h or -31?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + f**2 - 2. Let p(i) = 7*i**3 + i - 9. What is 5*g(l) - p(l)?\nAnswer: -2*l**3 + 5*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 - 10*n**2 - 22*n + 5. Determine t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 6:09 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -246823, -493644, -740465, -987286, -1234107?\n\"Answer: -246821*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -1 - 6 + 4*q + 0*q. Let t = 17 - 10. Is i(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -466*w + 955. Let o be g(2). Let b(j) be the second derivative of 1\/6*j**4 + o*j + 9*j**2 + 0 - 2*j**3. Suppose b(n) = 0. What is n?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 3*a**3 + 4*a**2 - 13*a - 28. What is u(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u - 4*u - 88 + 18 + 5 + 62 + 3.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 + 15 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6882*m**6*q**2 - 1766*m**3*q**2 - 19*m**2 + 14765*m*q**2 - 196*m wrt m?\nAnswer: -825840*m**3*q**2 - 10596*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 20*v - 1. Determine k(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1204565457 divided by 2.\nAnswer: 1204565457\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165292?\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of 0*c**2 + 2 + 6*c - 1\/6*c**3. Let i(q) = 33*q**2. Calculate i(h(v)).\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 + 3*i - 30. Determine w(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**3 - 61*l**2 - 64*l + 124 = 0?\nAnswer: -2, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/214 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3103 + 3092.626. What is y rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-341)\/(-28))\/(-11) - (-68 - -67)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 210 - 170. Solve -u*n + 5 = 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 3, -6 in decreasing order.\nAnswer: 6, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4909 in 0.41, 2\/21, 4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1053))*4)**2.\nAnswer: -576*sqrt(13) + 16912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -m**8\/6720 + 23*m**7\/280 - 1587*m**6\/80 + 121*m**5\/60 + 70*m**2. Let n(o) be the third derivative of k(o). Factor n(z).\nAnswer: -3*(z - 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26235703 - -4?\nAnswer: -26235677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 p, and 1 e when three letters picked without replacement from {p: 1, e: 1, v: 1, r: 1, o: 2, l: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 15*r + 16*r + r**2 - 24*r + 4 - 3 - 10. Let x be h(1). Which is smaller: x or 5\/27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22, -24, -26, -28, -30, -32?\n\"Answer: -2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 5*m + 1, -2*w = -4*w + m - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/374955 and 71\/1424829.\nAnswer: 7124145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3766 in -0.2, 0.05, 3, 5, 2\/7, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (160\/100)\/(4\/30). Let k(n) = 2*n + 28. Let v be k(-13). Solve -5*a = -p - v*p - h, -a + 16 = -4*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of -m**9\/63 + m**5\/12 - 5*m**2 - 8*m. Let z(p) be the first derivative of c(p). Find the third derivative of z(g) wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*n - 12*n + 280. Let l = 68 + n. Sort l, -3, 4\/7, -0.03 in ascending order.\nAnswer: -3, l, -0.03, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 70750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 4*z**2 - 3*z + 1. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 15*b. Let c(g) = g**2 - 14*g - 1. Let r be ((-20)\/16)\/((-1)\/(-4)). Let n(h) = r*c(h) - 4*l(h). Let t be n(10). Solve -t*w + 0*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 divided by -88\nAnswer: 41\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2\/3171  (b) 2\/49  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 659 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 8*f + 7. Suppose 4*b - 92 = -4*n, -n - 116 = -4*b + 3*n. Let w = 29 - b. Suppose -w = -5*l + 27. Give j(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 16*a + 30. Let k(m) = -m**2 - 13*m - 24. Let x(y) = -5*k(y) - 4*l(y). Let b(h) = -h. Give 5*b(q) + 5*x(q).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + o**4 - 2*o**3 + 0*o**3 + 3*o**4 to t*o + z + d*o**2 + w*o**4 + h*o**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k**4 - 2*k - 2. Suppose 4*c - 3 = 1. Let m(v) = -v**4 + v**2 - v - 1. Let g(x) = c*w(x) - 2*m(x). Find the third derivative of g(y) wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -78 - -82. Let s(v) be the first derivative of -160*v - 6 + 4*v**w + 14 + 142*v. What is the first derivative of s(f) wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 764 = -2*t + 663, 0 = -2*k - t + 58 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k + k**2 - 21*k + 17*k.\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.05568437 - -0.0557. What is c rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -50360502.213 and -12.\nAnswer: -50360514.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - ((-330)\/880)\/(5\/(-108))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 times -33751\nAnswer: 2025.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.781 + 3.081. What is the nearest to -8 in -0.2, r, 2, -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 14*v**2 - 16*v. Let n be d(13). Let q be (-3)\/((-27)\/(-24))*n\/4. Solve 5*a - 5*i + 2 = -3, 4*a + 2*i - q = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.47 + -0.53. Let m = -14 - d. Let x = m - -5.06. What is x rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102.219ml to litres.\nAnswer: 0.102219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**2 - 11*n - 22. Determine d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71721185?\nAnswer: 5, 14344237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 13122 = a, 2*o - 5*a - 3154 - 2111 = 0. Is o a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4038305\nAnswer: 4038301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6532, -13124, -19728, -26350, -32996, -39672, -46384?\nAnswer: -53138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 1000 = -20*r, 2*d + 44 = -r + 103. Solve 43*v + 37 = -r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -56, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 3:23 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -30545736, -61091472, -91637208, -122182944?\n\"Answer: -30545736*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88789, 2, 10\/23, -6 in ascending order.\nAnswer: -6, 10\/23, 2, 88789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f - 3*f - 4*f. Let l(r) = -4*r**2 - 2*r**2 - 3*r**2 + 8*r**2. What is l(b(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 466 = 2*d + 491, -4*q - 50 = 3*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -1739*j + 1. Let m(v) be the first derivative of 2*v**3\/3 + 672. What is m(c(u))?\nAnswer: 6048242*u**2 - 6956*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-102)\/(-15) - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 3*d + 5. Let l be t(-2). Let f be (-12)\/(l - (-6 - -2)). Let m be 24\/9*f\/8. What is the greatest common factor of 28 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 320 - 212. Suppose 6*f - 2*f - c = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*d**4 + 2*d**4 + 2*d**4 + (0*d**2 + 0*d**2 + 2*d**3)*(165766 - 1732*d - 165766).\nAnswer: -3465*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*t - 8 = 2, -5*l + t = -5. Let 0 + 1\/4*p**2 - 1\/4*p**4 + 0*p + l*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 6) + (-30)\/(-6). Suppose -2 = m*n + 4*d, -13 = n - 0*d - d. What are the prime factors of 1\/(3\/n)*-31?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91777.77mm in kilometers?\nAnswer: 0.09177777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 354.9456 decades?\nAnswer: 42593.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62, -60, -58, -56, -54, -52?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*x**2 + 54*x**2 + 5*x**2.\nAnswer: 41*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*b - 10 = 0. Suppose 3*w - 225 + 61 = -f, -280 = -b*w + 5*f. Let i = 43 - 24. What is the remainder when w is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6267471677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 4*n**2 + 4*n - 13. Let m be g(4). Solve -3*v = f, -m*f - 3*v - 7 + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jrrf when four letters picked without replacement from {f: 4, j: 1, r: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 47350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 7*g**2 - 3*g - 16. Let q be p(6). Solve -5 = 5*o, 3*t - 3*o = -q*o + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 2:34 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 1503*u**2 - 111127*u - 32767. Give q(1425).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, f: 3, z: 2, n: 6}. Give prob of sequence zzn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -69 + 123. Suppose -4*s = -y - a, -s + 0*y + 7 = 3*y. Calculate the highest common divisor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -12*j + 10. Which is greater: 9\/14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7428.39 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -80863*i - 646897. What is y(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.94 and 0.08.\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -6*s + 3. Let m = -1355 - -1364. Let f(h) = -h. Determine m*f(j) - r(j).\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 60*x**2 + 2*x + 2. Suppose -3*u + 4*u + 1 = 0. Is z(u) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**27)\/(s*(s\/((s*s*s**(-1\/8)*s)\/s))\/s) assuming s is positive.\nAnswer: s**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24\/(-84) + 132438\/42?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6388659 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11 - -5)*(-13)\/2. Let c(g) = 33*g + o*g - 69*g. Let m(q) = q + 2*q - 4*q - 5*q. Calculate m(c(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 6*l + 12 = 0. Let v be -12 + (0 - 3) - -2. Let m = l - v. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 - -8. Let d = b - -34.0521. Let r = 0.05419 - d. Round r to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w**3\/2 - 271*w**2 - 532*w = 0. What is w?\nAnswer: -28\/15, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3817 + -76329\/20. Let y(s) be the second derivative of 0*s**3 - p*s**5 - 12*s + 0*s**4 + 0 + 4*s**2. What is the first derivative of y(a) wrt a?\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*n + 8, -34*c + 19 = -30*c + 5*n. Put c, -4, 35 in increasing order.\nAnswer: -4, c, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 5*y**2 - 2*y - 9. Let g be s(-5). Let o be (24\/30)\/(g\/5). Solve o*b = -b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 26318 and -690.4.\nAnswer: 25627.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 20*q - 70. Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of 7*l**2\/2 + 7*l + 2617. Let c(v) = 21*v + 20. Calculate -6*c(g) + 17*f(g).\nAnswer: -7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -309*m + 146*m = -1213*m + 4200 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -44 - -28. Which is the closest to -2\/3?  (a) 0  (b) 0.2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 2 + g**2 - 3*g**2 + 15*g**3 - 9 as u*g**2 + z + f*g**3 + k*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*y + 6*y + 3)*(1 - 5 + 0).\nAnswer: -16*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + 0 + 2060\/(-130).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-75)\/(-5) + -25 + (-762)\/(-186)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 432443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.23 - -3.3223603.\nAnswer: 8.5523603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 10 + 8)*((3 - 3 + 3)*(-5 + 1 + 3) + 1 + 3 - 2)*(u**3 - 2 + 2).\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*d - 65. Let i be (-1 - 98\/2)*-3. Suppose 40 = 5*u - i. Calculate the remainder when u is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -153308 (base 10) in base 11?\nAnswer: -a5201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 3 - 3)*(0*c**3 + 20 - c**3 + 2*c - 4*c).\nAnswer: 2*c**4 + 4*c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 4415*r + 15*r**2 + 296*r**2 - 4413*r + (r - r + 2*r)*(2*r + 0 + 0) in the form z*r + g*r**2 + y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-9 + 4 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 12) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5 = -13. Suppose -4*q - 3*z + 15 = 0, 0*z - f*z = q - 20. Solve -4*x + 3*o = -12, q = 2*x - 0*x + o + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7932110 times 2\nAnswer: 15864220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkg. What is prob of sequence gk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000158756 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 406*k - 22846 + 22846 + 575*k.\nAnswer: 981*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22119)\/404 + 275\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + ((12 - (-2 - -11)) + -22 - -16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 5828150*a**2 - 6 - 7*a + 6 - 5828158*a**2 + 8*a.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 divided by 104?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 34138 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 4*m = -b - 21, 4*b + 4*m = -24. What is the tens digit of 0 + 1 + 218 + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n - 5. Let s be p(5). Let a = s + 20. Does 13 divide a - -1 - (5 + -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 4*f - 54. Let d be (-3014)\/(-12) - 9\/f. Suppose -3*c = 5*g - 503, -2*c + 4*g + d = -55. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 21*b**2 - 72*b + 1151. What is the remainder when 1424 is divided by w(22)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 770 and 23294.\nAnswer: 8968190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 2*j + 2, -4 = 2*i - 4*j. Solve 3*r + 3*b = -12, 2*r + 2 = i*b + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75 + -77. Let s(i) = -5*i - 1. Calculate the remainder when 24 is divided by s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxcxxxxxxcxxcxx. Give prob of picking 4 x.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12725, -25316, -37985, -50762, -63677, -76760, -90041, -103550?\nAnswer: -117317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + p - 15 = 0. Let r = 9 - p. Suppose 2*i + r = g - i, -3*i = 9. Sort 5, g, 2 in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-13)\/(c*c\/c**6*c*c) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, c: 5, y: 4}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.24*-862\nAnswer: -206.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1080 - 1043. Let g(b) = b + 73. What is the remainder when g(0) is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 10*y**3 - 2*y**2 - 19*y - 49. Let w(d) = -3*d**3 + d**2 - 2*d + 1. What is r(o) + 4*w(o)?\nAnswer: -2*o**3 + 2*o**2 - 27*o - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/2 and 54\/92989?\nAnswer: 185978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -142*v - 90. Let d(t) = 63*t + 40. Let i(b) = -9*d(b) - 4*k(b). Let p(o) = -9 - 295*o + 9 - 28*o. What is i(p(c))?\nAnswer: -323*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 0*k - 5*k)*(0 - 4 + 1) + k - 22 + 22 + (-3 + 2 + 3)*(2*k - 3*k - k) - k - 4*k + 4*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 8*q**2 - 74*q - 58. Let f(n) = 2*n**2 + 3*n + 1. Let o(i) = 5*f(i) - k(i). Determine o(-44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -63, -133, -207, -285, -367?\n\"Answer: -2*b**2 - 64*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*5 + (5 - 6). Suppose -388 - 52 = -n*p. What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1096 + -190\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3130*x + 3129*x + 1 + 9)*(2*x - 2*x + 6*x)*(2 - 1 - 3).\nAnswer: 12*x**2 - 120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 8:08 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -644  (b) -34  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -95 - -50. Let k = o - -45.2. What is the second smallest value in 9, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n**3 + 12*n**2 - 7*n + 7. Calculate c(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 142, -4, 194.\nAnswer: -7, -4, 0, 142, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -1561*y**2. Let i(p) be the first derivative of -p**2 - 247. Give i(d(v)).\nAnswer: 3122*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (189*q - 153*q + 4 - 218*q)*(2*q**2 + 0*q**2 - 5*q**2).\nAnswer: 546*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of -467*g**6\/120 - 203*g**5\/20 + 60*g**2 + 2. Find the third derivative of t(s) wrt s.\nAnswer: -2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 6*m. Let j(n) = -14*n + 5. Let c(q) = -21*q + 7. Let u(o) = 5*c(o) - 7*j(o). What is l(u(w))?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12349073*c*t**2 + 285304*c*t - 7 wrt t.\nAnswer: -24698146*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*v = -2161 + 908 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 906733255?\nAnswer: 5, 23, 599, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhjjjjjjjjjjj. What is prob of picking 3 j and 1 h?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19.9 + 20. Let v = 0.3 - r. What is the third biggest value in -0.5, v, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 23*b - 2. Let t be x(0). Let w(h) = -17*h - 32. Let c be w(t). Let q(l) = l**3 - 2*l**2 + l. Let y be q(2). Solve -6 = y*z - c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26\/35 + -3\/5. Let d be -2*-3*(-3)\/(-36). What is the closest to d in -3\/7, -1\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -2\/5*c - 7\/10*c**2 + 7\/10*c**4 - 7\/30*c**6 + 4\/15*c**3 - 2\/25*c**5 - 1. Solve b(q) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 773*h = 3014*h + 53784 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -5*m - d + 50, -d + 2 = 0. Which is smaller: m or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 71 + 714. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18507.780109 - 18507.7. What is l rounded to 4 dps?\nAnswer: 0.0801","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 1.4  (c) -1\/2  (d) 1\/2  (e) 1\/83  (f) 1.1  (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39561 + -39535.3848. Let b = 0.6548 + a. Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 20 - 5. Let w(a) = 5*a - 14. What is the smallest common multiple of w(4) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n - 4. Let t(q) = -q - 5. Give 2*t(r) - 3*u(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 + -24.7. What is a rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 87\/1456, 0 in decreasing order.\nAnswer: 87\/1456, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and 13896.\nAnswer: 13896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 2\/39, 15 in decreasing order.\nAnswer: 15, 2\/39, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 251186644277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5842, -5903, -5954, -6001, -6050, -6107?\nAnswer: -6178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/35 and -59\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1002886.\nAnswer: 2, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1940 - -7693\/4. Let y = -67\/357 - -11\/63. Let g = y - 8999\/2142. Find the common denominator of g and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -18*d - 87. Let z be f(-5). Suppose -4*r = -5*w - 313, -2*r + z*w + 195 - 38 = 0. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4673473 and 14020421\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (70\/(-15))\/((-2)\/3). Let p(j) be the second derivative of j**4\/4 - j**3\/3 + 35*j. Let h(c) = 10*c**2 - 7*c. What is g*p(r) - 2*h(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -600055705*s**4 - 577290252 wrt s.\nAnswer: -2400222820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2319482397 to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 0*x + 1 + 5*x - 6 - 6*x. Let f(i) = -1. Determine 6*f(z) - l(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdff when four letters picked without replacement from ozzqzfdzzfozzzmdzf?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.5 - -3.5. Which is the nearest to -18?  (a) -0.2  (b) 1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.53783 minus -4149027.2?\nAnswer: 4148995.66217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m - 24 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 25. Suppose -2*y = -3*y - 4*o + 5, 2*y + 3*o - 10 = 0. Suppose 4*l - 67 = 33. Suppose z = 5, y*z = -2*a + 4*a + l. What is g(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - (7 + -21 + 21) - 19?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ccxjcxnccjljjcx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - z**2 + 1. Let l(f) = f**3 - 5*f**2 - 5*f. Let n(c) = l(c) - 2*t(c). What is the units digit of n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(96)*-6 - sqrt(96) - sqrt(96))\/sqrt(12))\/(2*sqrt(100)*-5).\nAnswer: 16*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3768325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 17 + 5 = 0, -16 = -4*l + 4*r. Let f(t) = 14*t - 3. Let o be f(l). Suppose o = 5*d - 11. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, 18, 13, -2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -744 - -1119. Let q = 2141703 + -2141327.9679. Let i = v - q. What is i rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 9.3, 0.15 in ascending order.\nAnswer: 0, 0.15, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3907114 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -17, 3, 20, -2 in descending order.\nAnswer: 20, 5, 3, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 9:40 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -613679*c**3 - 7597*c - 3?\nAnswer: -3682074*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4334 + 2899. Let q = o + 3638. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.82, 0.09, 2\/5, 2.\nAnswer: 0.09, 2\/5, 0.82, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 363056 at least as big as 363035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**2 + 6175*z + 1121265. What is m(-172)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 1:28 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 21*s**2 - 420*s + 2. Let n be u(20). Let q(w) = 2*w**3 - 8*w**2 - 2*w - 2. Let x(a) = -2*a**3 + 8*a**2 + 3*a + 3. Determine n*x(p) + 3*q(p).\nAnswer: 2*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 3) + -3 + 8 + (58 - 45).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 3*h - 143, -23970*h + 23971*h = -4*z + 39 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -50.2 to 0 dps.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -36\/134519?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50248283*w**3 + 1729782*w**2 + 6*w?\nAnswer: -301489698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110985, 222258, 333531?\nAnswer: 444804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -377*y. Let j(a) = 16*a**2. Give l(j(x)).\nAnswer: -6032*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1422 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**3\/2 + 64329*r**2\/2 + 611289*r + 1093916 = 0 for r.\nAnswer: -17, -2, 64348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 68093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1056*g - 26*g - 7282 - 3538 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2356214 and 882.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*i + 55 - 155 - 93 = 3*h, 0 = -i - 1 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6561, -52505, -177205, -420039, -820385, -1417621, -2251125?\nAnswer: -3360275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - -73a57?\nAnswer: 73a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -7*d**3 - 8*d**2 - 4*d. Let p(n) = -n**3 - n**2. Calculate -i(v) + 6*p(v).\nAnswer: v**3 + 2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 1)*39\/(-156)*1\/1. What is the third biggest value in 0, 7, 0.2, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 864 divide 27061496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 49.996 + 0.004. Let g = m + -50.0000027. Round g to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*r**3\/11 - 162*r**2\/11 - 180*r\/11 + 624\/11 = 0. Calculate r.\nAnswer: -2, 13\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1402777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of 1\/735*h**7 + 4*h**2 + 0*h**4 + 0*h + 0 + 0*h**5 - 1\/1176*h**8 + 0*h**6 + 0*h**3. Factor o(n).\nAnswer: -2*n**4*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16189\/9 < -1800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 117a (base 13) to base 8\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 6 = 2*s + 2, 5*s = 3*z + 52. Suppose -2*x + 10 = 2*w, -2*x + 5*x - 11 = -w. Calculate the remainder when s is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -21*i + 11. Let w(u) = 14*u - 7. Let o be -1 - ((-21)\/(-3) + -3). Let c(d) = o*y(d) - 8*w(d). What is c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 3068*w. Let p(m) = 6*m. What is p(g(b))?\nAnswer: 18408*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (5*5*((sqrt(72) - (sqrt(72) - (0 + sqrt(72)))) + -5 + sqrt(72) + 2 + sqrt(72) + (sqrt(72) + -1 - sqrt(72))*-6 + sqrt(72)*-2*-4)*-3)**2.\nAnswer: 2227500*sqrt(2) + 49055629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41033?\nAnswer: 37, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1069 divide 15102198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*a**3 - 7 + 4 - 12 - 10*a**3 as v*a**3 + y + k*a**2 + b*a and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 i, and 1 m when three letters picked without replacement from xmiigxmxixixx?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 - -2 - (-496 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 29*w**2 + 19*w - 515. Let l(t) = 4*t**2 + 3*t + 1. Give j(b) - 7*l(b).\nAnswer: b**2 - 2*b - 522","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3*g = -39, -3*b + 31 = -0*b + g. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 12*t. Let w be x(-10). What is the units digit of (-66 - -115)\/((-2)\/(w\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 338*b**2\/15 + 610012*b\/5 + 825698166\/5 = 0. Calculate b.\nAnswer: -35193\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1808 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-7)\/84)\/(6\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, j: 1, n: 2, r: 3, p: 5}. Give prob of sequence nnr.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 2:03 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -5*w**2 + 5*w + 5. Let z(p) = 11*p**2 - 10*p - 11. Calculate -13*o(i) - 6*z(i).\nAnswer: -i**2 - 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (2*sqrt(19) + sqrt(19)))*3 - (sqrt(95) - (sqrt(95) + 1*sqrt(95) + sqrt(95)))\/sqrt(5).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -472212, -944596, -1416980, -1889364, -2361748?\n\"Answer: -472384*o + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -n + 13, -f - 4*f = -4*n + 64. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*x**3 + 540671792*x**2 + 540671804*x + 135167952.\nAnswer: -4*(x - 33791988)*(2*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of 128*p**5\/5 - p**4\/12 - 71*p**2 + 153*p. Find the third derivative of a(v) wrt v.\nAnswer: 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 2\/577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((0 - 0)\/(-1))\/(-149 - -148). Is u equal to 10421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 5*t**2. Suppose -1922 = -a + 4*x, -5*a + x + 5208 + 4364 = 0. Let k(g) = -5 + 2 - 1930*g + a*g. What is k(c(v))?\nAnswer: -80*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 9:31 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**3 - 112*q**2 + 3681*q - 10008 = 0.\nAnswer: -139, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*z - 15. What is the third derivative of k**3 - 10*k**2 - k**z - 4*k**3 wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 10:01 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, z: 4}. What is prob of sequence zzz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289*1 + 4 + -1 + -1.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61194 = -y - 2*l + 61179, y - 5 = 2*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-22))\/(52920\/16170)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -183 + 86 - 40*d + 85 - 4*d**2. Let v be i(-7). Which is the third biggest value?  (a) 5  (b) -1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.721 - 0.389. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 6*q + 7. Let o be (-2)\/(-4)*(-19 - -23). Suppose 3*m + 15 = 5*k, o*m + 0*m = -k + 16. What is a(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 647 = -6*w + 1253. Solve -6*b - w + 77 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from njxlvjxi. Give prob of sequence jjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + 114.67.\nAnswer: 111.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of h**5\/30 - 3*h**4\/8 + 4*h**3\/3 + 5*h**2. Let r be n(5). Let u = r - -42. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -175, -335, -477, -601, -707, -795?\n\"Answer: 9*g**2 - 187*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.329059 centuries?\nAnswer: 394.8708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48667470 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*2*1\/(-2). Let x be -3 + 6\/(-2) + r. Let y = 3 + x. Let p(u) = -7*u - 3. Give p(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**18\/(o*o**(2\/25)))\/(o**(-19)\/o**11) assuming o is positive.\nAnswer: o**(1173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -6*o + 3. Let y(c) = -7*c + 8. Let x(n) = 10*n**2 + 49*n - 56. Let z(g) = 2*x(g) + 14*y(g). Calculate z(f(d)).\nAnswer: 720*d**2 - 720*d + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 361767?\nAnswer: 3, 7, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i + z + 1, 27*i + z + 2 = 31*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(3*sqrt(171) - sqrt(171)))\/(sqrt(180)\/sqrt(5) + sqrt(9)) + -2)*1 + 2.\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -493120 divided by 24656?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6550*a - 4*v = 6551*a - 24, 18 = 2*a + 3*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -10*m**2 + 11*m - 11. Suppose 20*w - 24*w = l + 93, -120 = 5*w + 2*l. Let s(y) = -2*y**2 + 2*y - 2. Determine w*s(i) + 4*a(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6528552727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/10248 and 93\/19426792.\nAnswer: 58280376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -10*s**2 + 34. Let o(x) = 2*x**2. Calculate j(o(v)).\nAnswer: -40*v**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6501231151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1560 and 10353192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*(b**(-6\/11)*b)\/b*b**(3\/7)*(b\/((b*b**(-5))\/b*b))\/b**(-1\/3) assuming b is positive.\nAnswer: b**(1436\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of 2*v**3\/3 + 6*v**2 + 3*v - 577. Give l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -29, -6, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -21. Let k = 22 - s. Suppose 248*v = 253*v + q - 41, -4*v + 20 = 4*q. What is the lowest common multiple of k and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 + a**2 - a - 12. Let z be w(0). Let u be (5 + 1)*(8\/z - -1). Find the third derivative of 26*j**u - 6*j**5 - 20*j**2 - 9*j**5 wrt j.\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221039 divided by 2\nAnswer: -221039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that o**4\/3 - 182*o**3\/3 + 8281*o**2\/3 = 0.\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 271*t - 24*t**2 + 24*t**2 + 31*t**2 - 271*t.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 316553 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: What is the hundred thousands digit of 26438450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**2. Let b(u) = 944345*u**2. Determine b(i(o)).\nAnswer: 8499105*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 28*w - 145. Let b(h) = -6*h**2 + 168*h - 869. Let q(r) = 6*b(r) - 39*l(r). Factor q(i).\nAnswer: 3*(i - 21)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 136 - 143.08. Let g = -7 - b. Let s = 0.11 - g. Do -0.1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 22. Let t = 11 - x. Let v = 0.2 + -1.2. Is v > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 124 = -5*i - g, i + 5*g = 16. What is the highest common factor of i and 676?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 2. Let r = 1.4 - 0.4. Which is the third biggest value?  (a) q  (b) r  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14224 and 3556.\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-8 - -5) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2870 and 2009?\nAnswer: 20090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 14*i**3 - 3*i**2 - 2*i. Calculate p(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5434176445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1880\/9880*19 - (6 + -4 + 3)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*j = -56 - 511 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 - -50. Differentiate 5*s**4 + 6*s**a - 12 - 8 + 4*s**4 wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, q: 4, o: 2}. What is prob of picking 2 q and 1 x?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(0 + (-18)\/(-228)). Calculate the highest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 579631?\nAnswer: 13, 44587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1*(sqrt(1573) + -2)*-4.\nAnswer: -44*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54217810 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44872 and 39192.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, x: 8}. What is prob of sequence exe?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -686, -1355, -2026, -2699, -3374, -4051?\n\"Answer: -n**2 - 666*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -46*l**2 - 44*l**2 + 120*l**2 + (2*l + 2*l - 2*l)*(7*l - 2*l - 3*l).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**2 + 7*v + 7. Let q be f(-6). Let u(x) = -x**2 + x + 6. Let t be u(2). Suppose 44 = -t*m + 188. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1664, -7022, -21560, -49868, -96536, -166154, -263312?\n\"Answer: -765*m**3 - 3*m - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 9*k**2 - 5*k - 5*k + 20*k + 9. Let y be h(-10). Calculate the greatest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 204173 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 637, 1280, 1933, 2602, 3293, 4012, 4765?\n\"Answer: t**3 - t**2 + 639*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*b**2 + 0*b**2 - 4*b**2)*(3 - 3 - 2*b) + 1065*b**2 + 4*b**3 - 2*b - 1065*b**2 - 3*b**3 + 0*b**3 + 4*b**3 as o*b**3 + l + a*b + v*b**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 116756 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 110111001101000?\nAnswer: -110111001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4574777 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -7. Suppose a*v - 18 = -2*l, -l + 0*v + 9 = -v. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11921278*g**2*s**3 + g**2 - 43412150*g - 5*s**4 - 2 wrt s.\nAnswer: 35763834*g**2*s**2 - 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/594 and (4550\/3003)\/(16\/1).\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 6:37 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*3855308.7.\nAnswer: -1927654.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -289 + 578 - 289 - 12*g + 11*g. Let z(y) = 7*y - 9. Calculate -4*i(l) - z(l).\nAnswer: -3*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/3)\/l)**6)**(3\/43)*l**(-1\/6)\/(l\/(l\/(l**(-8)*l)))*((l\/(l\/l**8))\/l*l*l)\/l*l**(4\/9) assuming l is positive.\nAnswer: l**(11393\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-4)*i**(-2\/9))\/((i*i*i**(4\/9)*i)\/(i\/i**5)))**(-12\/7) assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 3 - 0. Let f(a) = 162*a + 1. Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1c (base 16) to base 7\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of -p**6\/90 - 8*p**5\/45 - 11*p**4\/18 + 40*p**3\/9 - 426*p**2. Determine v so that l(v) = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*i = -70. Suppose 5 = -3*y + i. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*w - 2*w - 48 = 417 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -9*y + 25. What is the remainder when 46 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/20 - 4477\/740 - 9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 3*y + 1, 0*y - 7 = -3*r + y. Let h = -4422 - -4422. Solve h = -x + r*w + 2, -6 = 2*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -155, -3 in increasing order.\nAnswer: -155, -22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.3, 3\/7, 0.1, 0.05, -512, -1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 39*p**3 + 148*p**2 + 42*p + 123. Calculate b(-4).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**2\/4 - 1476375*k\/2 - 2952755\/4.\nAnswer: 5*(k - 590551)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12123023 (base 4) in base 7?\nAnswer: -136502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (4 - -8) - -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 57.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -250\/13, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence chq when three letters picked without replacement from qfhfqcfqfh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s + 8. Let q be y(-6). Suppose -3*p = -15, p = -0*l - l + 11. Suppose 21 + l = 3*z. Solve q*h = 1 - z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 times -897\nAnswer: 11661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 178, 687, 1532, 2713, 4230?\nAnswer: 6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48\/42)\/2*(-1974)\/31020?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 861248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*f*v + 1854505*f + 3*v**3 + 15*v**2 + 2*v wrt v?\nAnswer: 2*f + 9*v**2 + 30*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000320343495 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 5*n. Suppose -3*j - 24 = j. Let v be d(j). Does 19 divide (60\/(-2))\/(v\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*t + 76 - 76)*(-2*t + 2*t - 2*t**2) + t**3 + t**3 + t**3.\nAnswer: 109*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-22)\/(-5) - 12\/30. Let k(l) = s*l + 0 - 3*l + 0. Let d(f) = 4*f**2. Give k(d(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 - -10. Let p be (-1)\/(-1) + 0 - 0. Let m(d) = d - 4 + 2 + p. Calculate m(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130653 (base 12) to base 9.\nAnswer: -524840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*p - 57375 = -697*p - 305*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -303\/8 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 4, -387, 3, -3 in decreasing order.\nAnswer: 17, 4, 3, -3, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmddmdddmddxq. What is prob of sequence dd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) 16  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 113149845 to the nearest integer?\nAnswer: 10637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-114)\/50)\/((-29)\/(3915\/81)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*z = -13 - 7, -4*z = -5*r - 7. Let v be 50\/15 + r\/9 + 1. Solve -v*c + c = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -l + 4*i + 16, -5*i - 16 = -l. Suppose -2*z = 5*o - 20, -2*z + 28 = 2*o + 8. What is the remainder when z is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(-6)*v\/((v\/(v\/(((v*v*v**9*v*v)\/v)\/v))*v)\/v)*(v**(2\/3)*v)\/v*v**2*v**(-2\/7)\/(v*v*v**(-1\/6)*v*v)*((v\/v**(-1\/4))\/v)**(-22\/5) assuming v is positive.\nAnswer: v**(-1843\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 675762760 and 4574.\nAnswer: 4574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -470231 + 10009*o + 470231 to the form a + y*o and give y.\nAnswer: 10009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.25 - 0.15. Which is the nearest to 2?  (a) p  (b) -1  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8860248763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 10*l**2 + 18*l - 4. Let y(s) = -5*s**3 + 39*s**2 + 71*s - 16. Let g(r) = 9*f(r) - 2*y(r). What are the prime factors of g(-8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(6)*4 + sqrt(6))\/sqrt(2))**2 - (1 + sqrt(192))).\nAnswer: -8*sqrt(3) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r + 26. Let j be k(4). What is the fourth biggest value in -0.5, j, 0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8 + 68645?\nAnswer: 68636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r + 182*r + 25*r - 3184 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/9 + 86*o**2\/9 + 8*o\/9 - 344\/9.\nAnswer: -2*(o - 43)*(o - 2)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 33347 and 2?\nAnswer: 66694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1063606267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c = -p - 38, -102 = -c + 6*p - 75 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**4 + 1011*k**3 + 63985*k**2 - 131007*k + 66010 = 0.\nAnswer: -943, -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 - d**2 - 2*d + 3. Let t be p(2). Let n(z) = 5*z**2 - 19*z**2 - t + 8 + 4 + z. Suppose 2*h - 2*b + 5 = b, -3*b - 2 = 5*h. Calculate n(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (3 - (1 - 6)). What is the tens digit of 88\/6 - (-2)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 523299?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/5 + 14184836*s**2\/5 + 28369687*s + 70924230.\nAnswer: -(s - 14184846)*(s + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 4818?\nAnswer: -5\/4818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8885466?\nAnswer: 2, 3, 149, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.2784 - -8.27839896778. Round a to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5 or 695?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -663.3954864 to the nearest integer.\nAnswer: -663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 divided by -61?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 610*f**6 + 277*f**5 + 3995320*f**2.\nAnswer: 73200*f**3 + 16620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(931) + 2).\nAnswer: 10 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.287509 to 3 dps.\nAnswer: 0.288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1676, -19, 5 in increasing order.\nAnswer: -1676, -19, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1420, -3, -49 in ascending order.\nAnswer: -49, -3, 1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((2 + sqrt(833))*-4)**2*1 - (0 + sqrt(833)*4 + 1)).\nAnswer: 420*sqrt(17) + 13393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -2 - ((45 - 68) + 29) - -18\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1 + sqrt(637)*1)**2 + ((-1*sqrt(143) + sqrt(143))*-6)\/(-2*sqrt(539)).\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7207 is divided by 3601.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -6264  (c) -212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110 is divided by 78?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 16.66234l?\nAnswer: 16662.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-2 - ((-2 - 29) + (-31 - -17) + -7)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*m = 7 + 61 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006489109 rounded to five dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 2:42 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -4*k - 1. Let q be r(-1). Suppose -2*h + 13 + 2 = -q*j, -4*j - 21 = -3*h. Let g = 0 - 0. What is the closest to g in -1, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 0*k + 2\/13*k**5 + 0 + 84\/13*k**2 + 4\/13*k**4 - 58\/13*k**3 = 0.\nAnswer: -7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of -y**8\/10080 + y**6\/2160 - y**3 - 2. Let d(u) be the third derivative of c(u). Factor d(j).\nAnswer: -j**2*(j - 1)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5df (base 16) to base 3\nAnswer: 2001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 500 = d, 7*d = -5*h + 2*d - 625. Let a = h - -181. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26298 divided by 54\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -4*r + 44. What is the least common multiple of r and 7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 214 - 213 = 0. Let v be 1 + k - (-10 + 7). What are the prime factors of ((-358)\/(-12) + v\/30)*7?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22\/9*a + 4\/9 + 10\/9*a**4 + 14\/3*a**2 - 34\/9*a**3.\nAnswer: 2*(a - 1)**3*(5*a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4655589251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, p: 2, x: 2, c: 2}. What is prob of sequence cxpp?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -445 divided by -5424\nAnswer: 445\/5424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 x when four letters picked without replacement from wwwwwwwwwwxwwwwwww.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2000 + -10?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u - 28. Let o be a(-11). Find the second derivative of -14*d + 29*d - 40*d**3 + o*d**3 wrt d.\nAnswer: -210*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 11) to base 9\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of -z**4\/4 + 73*z**3\/6 + 604*z**2. Determine i(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, w: 1, m: 3, q: 2, z: 7, o: 3}. What is prob of sequence mz?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68279 + 24499 = -22*d. List the prime factors of d.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3243 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -233*p**2. Let q(u) be the second derivative of 0 + 121*u + 0*u**2 + 1\/3*u**3. Give q(v(n)).\nAnswer: -466*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -4*c**2. Suppose b = 5*s + 2*b - 17, 4*b = -s - 8. Let d(l) = -s*l - 22*l - 2*l + 2*l. Give d(g(v)).\nAnswer: 104*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 485018, 485109, 485366, 485873, 486714, 487973, 489734, 492081?\nAnswer: 495098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5\/2 - 3)*-3)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 2 + 2. Suppose 11 + 1 = 3*p. Suppose m*k - p*k = -6. Solve k = a - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -134\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 222321 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -198806, -795145, -1789030, -3180467, -4969462, -7156021?\n\"Answer: -c**3 - 198767*c**2 - 31*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.7, -5, -0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -60156, -240624, -541394, -962460, -1503816, -2165456, -2947374?\n\"Answer: l**3 - 60157*l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 2)*(-19*s + 115 - 115)*(2*s - 4*s + s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -138351 rounded to the nearest one thousand?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 462 + -2?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -21340 (base 12) to base 6\nAnswer: -534120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -408 + -20a6a?\nAnswer: -21276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-80))\/(3\/24*-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85113.\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 3:12 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 66 + -53. Solve 3*h - 7*h = -j - 1, 0 = -3*j - 4*h + d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d**(-2\/3))\/d)**(1\/51))**(1\/4))**40 assuming d is positive.\nAnswer: d**(-20\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -73860 divided by 12310\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/276 and -13\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - -15. Let u be 2*((-3)\/r - -3). Suppose -3*j = 4*v - 16, 2*v + 1 = u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ovb when three letters picked without replacement from {v: 10, q: 5, t: 1, b: 1, y: 2, o: 1}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/1426929 and -73\/6426.\nAnswer: 25684722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.892 - -1.108. Sort -5\/6, o, 0.1.\nAnswer: -5\/6, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 49687.73ns?\nAnswer: 49.68773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**2 - 19 + q**2 - 9 + (1 + q - 1)*(-3*q - q + 2*q) - q**2 - 6 + 5338*q - 2667*q - 2672*q.\nAnswer: -2*q**2 - q - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 102302 - -3450?\nAnswer: 105752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 609718895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002603 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4c9e4d6 + -3?\nAnswer: -4c9e4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 962923 + -560252. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*k - 57*k + 594 = 0. Let s = -18 + k. Solve -y = -3 - s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165*m + 26399 = 114*m - 30238. Solve -10*j + 193 - m = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.025, 2\/3, 353, -2, -0.2, 0.2 in descending order.\nAnswer: 353, 2\/3, 0.2, 0.025, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {v: 4, c: 1, s: 2, d: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add 87019241001 and -6.96.\nAnswer: 87019240994.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 2.1.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -19638637 divided by 4?\nAnswer: -19638637\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 2*d + 2, 3*d = -f + 3 + 2. Let c be f\/(1\/(-2)*-4). Let v = 0 + c. Let j(q) = -q**2 + 2*q - 2. Let o(n) = -3*n**2 + 5*n - 5. Give v*o(t) + 5*j(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174848118 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 67 = -4*j, 3*j + 2*y + 129 = 116 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 49 = u - 5*y, -5*u - y + 245 = 0. Calculate the highest common divisor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 10*i - 41. Let r(o) = -9 - 12 + 15*o - 40. Let k(s) = 8*h(s) - 5*r(s). Let z be k(5). Solve -2 - z = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92, 183, 274, 365, 456, 547?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -30104, -60864, -91622, -122378, -153132, -183884?\n\"Answer: r**2 - 30763*r + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w**2 - 26 + 30 + 3*w**2 - w + 0*w. Let o(d) = -d**2 + d - 1. Give -4*o(p) - u(p).\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**3\/3 + 49. Let x(d) be the second derivative of -d**3\/2 - d. Determine a(x(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1310 (base 5) to base 8\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of v**8\/168 - 47*v**7\/210 + 167*v**4\/24 + 2*v**2 + 105*v. Find the second derivative of h(i) wrt i.\nAnswer: 40*i**3 - 564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576759?\nAnswer: 3, 17, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117181 is divided by 105.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 4 - 652236\/(-13) - 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 10*o**2 + 3 - o**2)*(o**2 + 0*o**2 - 2*o**2).\nAnswer: 11*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 3*l + 12, u - 5*l = -2 - 6. What is the closest to -0.2 in 1, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(4*1*sqrt(36))\/sqrt(6))\/((-1*sqrt(3168) - sqrt(22))\/(sqrt(11) + sqrt(44)\/(sqrt(20)\/sqrt(5)))))**2.\nAnswer: 768\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 1111*u**2 - u + 1. Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -683*z**5\/5 + z**4\/4 - 20*z**3\/3 - 49*z + 2831. What is the third derivative of d(m) wrt m?\nAnswer: -16392*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q = 0. Let y(l) = -l**2 + 3*l - 7. Let g be y(5). Let v = g - -15. Which is the nearest to q?  (a) 5  (b) v  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 179398 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3*o = 15, -2*k = 2*o - 0 - 2. Let u be (0 + 2\/4)*k. Does 20 divide (u + 13)\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4986\/(-62325)*12\/8*-1*20\/14.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 39279417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 402980, 5 in increasing order.\nAnswer: -5, 5, 402980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) 3  (c) -0.009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*v**3 - 8*v**2 + 1015*v wrt v.\nAnswer: -30*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 64611.04ns?\nAnswer: 64.61104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.8 - 1.9. What is the closest to l in 0.1, -5, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7604.\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -811, -810, -809, -808, -807, -806?\n\"Answer: f - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7*c - 27. Let n(y) = y - 27. Let d(m) = -n(m) + s(m). Let g(z) = 2*z + 9. Determine d(g(k)).\nAnswer: 12*k + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 8 = -i - 10, 3*x + 5 = 2*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3654387?\nAnswer: 3, 11, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = a - 16, -d = 5*a - 38 - 9. Let r = 2 + a. Suppose 5*l - 2*l = r. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 54 + -51. Find the second derivative of -22*j**q - 911*j + 2*j**2 + 5*j**3 + 930*j wrt j.\nAnswer: -102*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10945946 and -78.1.\nAnswer: -10946024.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/(5\/(-9)) + (1 - -1). Let d(v) = 1 + 2 - 8*v + 5*v**2 + a*v - v**3. Determine d(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2786*y + 90250 + 18651 + 24827 = 0 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32449 >= 32444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*l = 22*l + 15, -5*h + 2*l = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 22*w**2 + 36*w - 60. What is l(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5546 - -5448. Which is bigger: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 6 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2504*p - 4177 = -c + 2552*p, 4*p = 3*c - 351 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 10*i - 10. Let x(j) be the first derivative of j**4 - j**3\/3 - 2*j**2 + 10*j + 1. What are the prime factors of x(i)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from cqccclccclccllllllcc?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + -12 + 14 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**2 + v**2 - 17*v**4 + 14*v**4 + (1 - 2*v**2 - 1)*(-v**2 + 1 - 1).\nAnswer: -v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 67, 81, 89?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in 0.3, 10, 3126, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -336*z**4 - 2*z**3 + 230*z?\nAnswer: -4032*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 888*g**2 + 33*g**3 - 1779*g**2 + 895*g**2 + 2 + 17*g**3 as w*g**3 + v + h*g + d*g**2 and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 0)*(-6 + 2 + 2*j + 20)*(-2 + 0 + 4)*(-17 + 15*j**2 + 17).\nAnswer: -360*j**3 - 2880*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 7. Suppose -f*k + 154 + 220 = 0. Calculate the remainder when 67 is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 19*w**3 + 9*w**2 + 9*w. Suppose -2*x + 80 = 23*l - 7*x, 3*l + 2*x = 29. Let r(n) = 10*n**3 + 5*n**2 + 5*n. Determine l*r(g) - 3*i(g).\nAnswer: -7*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**2 + v + 2. Let m be z(3). Let u = m + 8. What is the smallest value in -0.2, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 - 15*w - 15. Let r(d) = d**2 + 10*d + 6. Let u be r(-3). What is s(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0\/m)**(1\/23) assuming m is positive.\nAnswer: m**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 80118505013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42920.36 millilitres to litres.\nAnswer: 42.92036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1978094887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4396 + 2370 = -150*l - 904 + 1070 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/84 - (-158)\/7 - 0. Suppose -10*t - f = -153. Let k(w) = w**2 - w + 1. Let g be k(-3). What is the highest common factor of t and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 6, k: 2, b: 4, y: 6}. Give prob of sequence byyy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*q + 41791 - 51491 = 51800. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: (-792)\/220*12\/252\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m**(-1\/6)\/m)*m**(-3\/2))\/(m*m*m\/(m*m**(-2)*m)*m)**37 assuming m is positive.\nAnswer: m**(-436\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 52 = -5*c + 63 - 40, 4*k = 0. Solve d - 13 = -5*s, -4*s + 10 = 16*d - c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23727 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 5*c - 10. Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*f - 7516*f**2 + f**4 + 6*f + 7519*f**2 in the form l*f**4 + m*f + t*f**3 + u*f**2 + h and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2, -26, -92, -208, -386, -638, -976?\n\"Answer: -2*l**3 - 7*l**2 + 7*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297235 is divided by 49440.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -342 + 4?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -76*s**3 + 57*s**5 + 30*s**5 + 80*s**3 + 1 + ((-1 - 2 + 1)*(0 - 1 - 1) + 4 - 2 - 1 + 0 - 2 - 2)*(3*s**5 + 0*s**5 - 2*s**5).\nAnswer: 88*s**5 + 4*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from aabaaaab?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine fifths of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, 17, -3, -96 in ascending order.\nAnswer: -96, -3, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c + 9 - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 313 divide 607628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**2\/2 - 71*p - 1677\/2 = 0.\nAnswer: -129, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5802, 11586, 17370, 23154, 28938, 34722?\n\"Answer: 5784*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5791, 11572, 17353, 23134?\n\"Answer: 5781*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5 = -0*f. Let k(z) = -3*z - 4 + z + 6 + f. Give k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15855 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3542 and 0.44.\nAnswer: 0.0858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 6:43 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 314203 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3880 + -2314. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 90 by 145.\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c - 47b6ac7?\nAnswer: -47b6aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.1 + 0.7. Let j = a - -0.2. Sort -1, j, 1 in decreasing order.\nAnswer: 1, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 14.3504 and 0.3?\nAnswer: 14.0504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17460*u**2 + 17484*u**2 - 7*u**3 - 2*u**3 + 17458*u**2 - 52385*u**2 - 4*u**3.\nAnswer: -13*u**3 + 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8357047 millennia in centuries?\nAnswer: 8.357047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/172 and 29\/8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (1 + 0 + (-10 + -44 - -31))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62 + -26. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y - 10709 = 2471. What is the remainder when y is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -9*k**2 + 4*k + 1. Let h(v) = v**2 + v. Determine 4*h(r) - y(r).\nAnswer: 13*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (69126\/(-4))\/(3 + 196\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -298*i. Let y(b) = -282135*b**2. Determine y(l(p)).\nAnswer: -25054716540*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**3 - 27*g**2 - 35*g - 4. Determine b(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p**3 + p**2 - 4*p - 7. What is x(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -14 - 5) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 92 * 9.29067.\nAnswer: 854.74164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 9 = 3*j. Let g = 1 + j. Suppose 0 = -2*r + 3*t, -g*r - t = t. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/(-4)*(-2 + (15 - 15)). Solve -9 = 2*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/30396 and 167\/3267570.\nAnswer: 6535140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1492*(1\/2)\/((-7)\/56). Suppose 4*l + 4*l = k. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6220*h + 45 = -6225*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.9890318 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 293 + -293. Let w(d) be the second derivative of 0 + 7\/20*d**5 + 0*d**2 - 7\/3*d**3 - 12*d + l*d**4. Find the second derivative of w(h) wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 6*p**2 + 8*p + 12. Let k be (10 - 8)\/((-2)\/4). Let c be u(k). What is the greatest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-9) + (-29)\/(-9). Let j = -4 - -3. Let d = p - j. Solve k = -0*k - d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 263487*k**2. Let f(g) = 2*g**2. Determine f(c(j)).\nAnswer: 138850798338*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293602?\nAnswer: 2, 146801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2\/4 + 413739*j\/4 - 32656365.\nAnswer: 3*(j - 315)*(j + 138228)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 - 3*f**3 - 2*f**3)*(469 - 469 - 66*f).\nAnswer: 264*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -31. Let u = v + -32. Which is bigger: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*r**2 + 13*r**2 - 22*r**2.\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 396.8403t in micrograms?\nAnswer: 396840300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -4*y + r, -2*y + 12*r - 10*r = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 12, -7, 10, -5 in decreasing order.\nAnswer: 12, 10, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 5 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20222102 + 1200201122?\nAnswer: 1221201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 5*z + 25 - 0, -3*s = -z - 7. Suppose -11 = -3*x + 7. Calculate the smallest common multiple of s\/(-2)*(-13 - -5) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2290 - -2299. Which is the fourth biggest value?  (a) -4  (b) s  (c) 5  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238*t = 235*t + 66. Sort 4, 5, t, 3 in increasing order.\nAnswer: 3, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 - -69. Let v = p - 18. Suppose v*f + f - 6 = 0. Solve -f*x = 3*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.5  (b) -1  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*j - j - 3 + 5*j**3 + 0*j - 5*j to the form w + z*j**3 + s*j**2 + q*j and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16199b2 (base 15) in base 9?\nAnswer: 33142105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o + 6. Let w be t(-8). Let f = w - 10. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40043\/5040 + -1\/1680. Find the common denominator of 41\/21 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vgvtzvtvtzttttyztgzt. Give prob of sequence zzzv.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -823741 + -0.06.\nAnswer: -823741.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000793748 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1)*(-5*c + 1 - 1)*(-2 + 3 - 3)*(-539 + 1135 - 1004).\nAnswer: 8160*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 2*o + 2964, -2*x + 2959 = -0*x + 3*o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-316)\/280)\/(3\/6) + 63\/45.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of y**7\/210 - 256*y**5\/3 + 442*y**3\/3 - 3488*y**2. What is the derivative of v(z) wrt z?\nAnswer: 4*z**3 - 10240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + s + 2 + (2*s - s - 3*s)*(4 - 2 + 0) + 2*s + 3 - 3)*(0*s**2 + 4*s**2 - 3*s**2)*(1 - 1 - s**2).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -86 - -130. Calculate the remainder when 130 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7498 + 9935. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*n - 230 = 92, 2*n - 118 = m. Let h = 774\/7 + m. Let o = -19.99 - -20. Sort o, h, 5 in decreasing order.\nAnswer: 5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(((-6)\/(-36))\/(-1))\/((-4)\/132)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 872344?\nAnswer: 2, 11, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*sqrt(5)*4 - 6*-1*(sqrt(5) + (sqrt(45) - sqrt(5))))**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16061 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t. Let r(u) be the second derivative of -u**3\/6 + 7*u. Calculate i(r(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 147 + -146.8. Do c and 0.06 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of 0 - 3*p + 5\/6*p**3 + 0*p**2. List the prime factors of m(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 + d - 2. Let v(t) = -3*t**2 + t - 2. Determine 4*u(q) - 3*v(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*((-44733)\/155)\/(-39)*-5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1262 - 1291 - (1 - 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (16\/(-10))\/(6\/(-60)*4). Let y = 2 + 0. Let s be -4 - (0 - 0\/y). Put s, -3, u in increasing order.\nAnswer: s, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + 6\/4 - (1725\/46 - 27). Which is greater: -238\/29 or s?\nAnswer: -238\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*s = -145*s - 27 - 3. Solve -s*n = 20*n - 138 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1971195 is divided by 603?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0122277 to 4 decimal places.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-10) - 1\/(-15). Let d = 1 + -1. Sort 5, d, t.\nAnswer: t, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -29014, -29400, -29786?\n\"Answer: -386*s - 28628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 PM and 4:03 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*p - 4*g, 2*p - 3*g + 2 = -1. Suppose p = -5*t + 3*l + 93, 0*l = 5*t + l - 109. Calculate the remainder when 160 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00110132172 to five decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of 0*v + 1 + 3\/2*v**2. Let y(r) = -2*r. Determine -5*d(b) - 8*y(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -47 divided by 1\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1228 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -22*t. Let o(w) = 2 - 19*w**2 - 2 + 23*w**2. Determine v(o(c)).\nAnswer: -88*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6413 + 128203\/20. Calculate the common denominator of (1\/3)\/(48\/1710) - 3 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -385143931*n**3 - 52143094*n**2.\nAnswer: -2310863586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*q - 5*v, 5*q + 5*v - 10 + 5 = 0. Let i(g) = 6*g - 2. What is the lowest common multiple of q and i(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 772, 776, 782, 790, 800?\n\"Answer: h**2 + h + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10766340 and 290680?\nAnswer: 279924840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2560772459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ea when two letters picked without replacement from etoeaoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20056 and 48.\nAnswer: 120336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6209?\nAnswer: 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/(245\/14)*-105 - -5. Solve 85*z = 90*z + u for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 215 = 9*m - 266 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 9*r + 37. Let f(u) = u**3 + u**2 - u. Let s(h) = -3*h**3 - 6*h**2 + 3*h. Give r*f(x) + s(x).\nAnswer: 3*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {h: 3, j: 3, s: 3, d: 4, g: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 6:43 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30260 and 15308.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 515277971.\nAnswer: 13, 727, 54521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w**3 - 155*w**2 - 5*w + 155 = 0. Calculate w.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1671 and 11181218?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -39978 less than -199888\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/2583 and 1\/(-23) + 451\/(-1265) - 2389\/(-5535).\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 divided by -721\nAnswer: -24\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/20)\/(22*78\/1430)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8139 = j + g - 0*g, g + 1 = 0. Let z = j - 5619. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-8)*a\/(a**(10\/7)*a)*a)\/(a**0\/a)**44 assuming a is positive.\nAnswer: a**(249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 768985.6nm in micrometers?\nAnswer: 768.9856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -41\/20, 6605 in ascending order.\nAnswer: -41\/20, 0, 6605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h - 3*a - 123 = -14*h, 5*h - 2*a = 302. Calculate the remainder when h is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13*(-5)\/(-20)*-4)\/((-1)\/(-1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 894 - 897. Which is the third biggest value?  (a) s  (b) 3  (c) -4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20.1*-89.\nAnswer: 1788.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54.3*-3.\nAnswer: 162.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -4 + -1 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (0 + (-7 - -5) - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2938*s**2 + 9*s + 6. Let r be u(-4). Suppose 0 = 3*g - r + 628. Suppose -b + g = -950. What is b rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -730595899*l*u - 2850*u + 82461 wrt l.\nAnswer: -730595899*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -2*p - 5717 - 4247, 19926 = 4*w - 2*p. Calculate the remainder when w is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -99397, -4, -205 in decreasing order.\nAnswer: -4, -205, -99397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h. Let z(k) be the first derivative of -42*k**2 - 47*k**2 + 47 + 86*k**2. Determine 3*d(n) + z(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -646\/9 + 72. What is the third biggest value in 1, -5, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5785 by -13.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**3\/7 - 96*v**2\/7 + 864*v\/7 - 256 = 0. What is v?\nAnswer: -56, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00175578018 to five dps.\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 844*d - 1696*d - 2 + 848*d + 2. Let h(g) = 112*g. Calculate h(m(y)).\nAnswer: -448*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {c: 2, s: 2, e: 1, y: 1, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -f - 3 + 7, -2*a + 3 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 8:03 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 174 - 170. Suppose -3*w + 3*s + 71 = 8*s, -c*s = 4*w - 92. Calculate the remainder when 84 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8356954343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 112 and 46?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 10*u + 72. Let l(c) = c**3 - 8*c**2 - 7*c - 2. Calculate the remainder when 51 is divided by l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(3\/(-3)) + 4. Solve 2*b = -2 - v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of t**4\/12 - 5*t**2\/2 + 6*t - 3. Let m(q) be the first derivative of x(q). Differentiate m(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -7*z - 8. Let a(k) = 27*k + 34. What is 2*a(n) + 9*u(n)?\nAnswer: -9*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uqruahuagqqaarqqhq. Give prob of picking 1 q, 1 a, 1 g, and 1 u.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -588  (b) -0.2  (c) -4372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - -2. Let c be -3 + 0 + 27 + q. Let o = 50 - c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 5:32 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2 + 9604*x + 32857440.\nAnswer: -2*(x - 7112)*(x + 2310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 6*x + 11*x = -25, -10 = 2*x. Suppose 4*z = -c + 3*c - 38, a = -4*z - 8. Suppose 104 - c = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5075 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*d + 11, r - 4*d - 208 = 0. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.165 + -0.057. Round l to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2 + 9*c - 2. Let j(b) = b. Let g(u) = -i(u) + 3*j(u). Let l be g(3). Let -2\/7*o**l + 6\/7 + 4\/7*o = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**2 - p**2 + 2*p**3 + (0 + 3*p + 0)*(0*p + 0*p - p**2) + 112*p**2 - 112*p**2 - 21*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1564115, -2, 3 in descending order.\nAnswer: 1564115, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 875 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, b: 7}. What is prob of sequence zzb?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 670\/541 + -868642\/5951. Let s = u + 145. Find the common denominator of s and 40\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + -41 + (-7 - (29 + -13)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t. Let j(s) = -2*s. Suppose 3*b = -3*f + 36, -31 = -2*f + 2*b + 3*b. Let i = -15 + f. Let w be (i\/3)\/(8\/48). Determine w*p(x) + 5*j(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2919434 divided by 208531?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 0.4  (c) 39  (d) -0.1325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(21) - (2*sqrt(1701) + sqrt(21)))\/sqrt(7) - ((sqrt(108) - (sqrt(108) + -4)) + 2)*3)**2.\nAnswer: 828*sqrt(3) + 1501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 234614 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 3*g**2 - 2*g**2 + 25*g - 26*g + 1. Let o(k) = -2*k**3 + 4*k**2 - 6*k + 5. What is -4*f(w) + o(w)?\nAnswer: 2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13624 is divided by 6812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*h**4 + 2*h**3 + 362*h**2 - 2*h - 524?\nAnswer: -120*h**2 + 12*h + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from nllnllllllll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/64)\/((-4)\/120).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x. Let l(q) = 2*q - 3. Let b(r) = -1. Let w(d) = -2*b(d) + l(d). Determine t(w(j)).\nAnswer: -6*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 968673548.\nAnswer: 2, 547, 442721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**3 - f**2 + 1. Let w be k(1). Let r(b) = 433*b**w + 2 + 2*b + 188*b**2 - 1. Let a be r(-1). What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -17 + 3*y**2 - 2*y + 0*y**2 - 3*y - 2*y. What is o(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 43, 1, 263, -3, -1 in decreasing order.\nAnswer: 263, 43, 1, 0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/36 - 105\/140. Which is the biggest value?  (a) z  (b) 5  (c) 0.5  (d) 0.4  (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-15)*6\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*c - 11*c - 132 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -405 divided by 9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-166)\/249*(-1719)\/1. Calculate the greatest common factor of 66 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eekeukekeuu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-7) + -1 + 4 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g**2 - g - 1. Suppose -11 = -4*q + 1. Suppose -k + 1 = q. Calculate w(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, j: 7, x: 2, n: 2, k: 1}. Give prob of sequence xyny.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -69*d + 946. Give v(8).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1576\/3 - -526. Which is the biggest value?  (a) 4  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 186402*h**2*l**3 - 5*h*l - 10*h + l**3 - 3*l wrt h?\nAnswer: 372804*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 11*n**2. Suppose 3*r - 5*r = -56. Suppose 2*s + 5 = -3*k + 1, r = 3*s - 4*k. Let m(h) = s*h**2 + 2*h**2 - 2*h**2 - 2*h**2. Determine f(m(i)).\nAnswer: 44*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-517)\/(-30) + (-9)\/(-54). Let z = f + -619\/35. What is the second smallest value in z, -1, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/(1\/(-1)))\/1. Let t = 20186 - 20191. Put 4, -2, l, t in decreasing order.\nAnswer: 4, l, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (406\/56)\/29*(48\/(-20))\/2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/18 and -101\/62938.\nAnswer: 566442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 17685 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: b\"What is the th term of -16289, -65183, -146671, -260753, -407429?\n\"Answer: -16297*b**2 - 3*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j + 18 = -74 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1072 = -3*n - 5*q, -1468 = -4*n - 0*q + 3*q. Calculate the remainder when n is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86 - -128. Let w be -4 + 153\/q - 3\/(-6). Which is the nearest to -1\/6?  (a) 0  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9009 times 61\nAnswer: -549549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 107*q**2 + 176. Let k(d) = -107*d**2 - 175. Let z be 6\/(18\/(-4) - -3 - -3). Let i(y) = z*k(y) + 5*x(y). What is the derivative of i(j) wrt j?\nAnswer: 214*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8650.89 milliseconds in hours?\nAnswer: 0.002403025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 919.45962s in days?\nAnswer: 0.01064189375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4814812781 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 5*z**2 + z - 3. Let s(j) = 8*j**2 + 2*j - 5. Let k(r) = 3*s(r) - 5*u(r). Let y(n) = 5*n**2 - 2*n + 4. What is -4*k(v) - y(v)?\nAnswer: -v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.936 - -0.064. Which is the third smallest value?  (a) 0  (b) d  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 710052.9769 to the nearest ten.\nAnswer: 710050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**2 + q - 2. Let z(f) = 3536*f**2 - 1872*f + 3744. Calculate 7488*s(v) + 4*z(v).\nAnswer: -832*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3972 - -10.8\nAnswer: 3982.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((2\/1)\/(-2)). Let a = 2 + x. Suppose a*z = -z - 4. Is z >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22\/7 or -14?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-228)\/(-627)*231\/(-224)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of 3 - 9\/2*g**2 + 0*g. Let m(t) = t. Calculate z(m(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -99 + 99.4. Suppose 0 = 5*j + 28 - 3. What is the second biggest value in b, -9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9459 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17818\/4037 + -15\/367. Calculate the common denominator of l and -63\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 - 1\/4*n**3 - 3*n + 3\/2*n**2.\nAnswer: -(n - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3216*h**3 + 20009*h**3 - 4068*h**3 + 13752*h**3.\nAnswer: 32909*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 37698, 35963, 34228?\n\"Answer: -1735*h + 39433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 59 - 4*a**4 - 40*a**2 + 4\/5*a**5 - 24*a**3 - 28*a. Solve q(v) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -4*f**2 + 5*f**2 + 3*f - 2 - 3. Let l be p(-4). Let c(n) = -3*n**3 - 1. Let s be c(l). Solve -r = s*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/20)\/((-7185)\/1800 + 4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - a - 18 = -4*a, x - 5 = -2*a. Suppose -2 - x = -w. Suppose w*y - 140 = -3*g, -2*y - 290 = -5*g + y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3166884135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 2*b - 1, 0 = 4*b + 5*h - 10 - 7. Suppose 0 = b*g + 18. Let t = 8 + g. Solve -2*f = 4*a + t - 0, a + 18 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, p: 2, j: 2}. Give prob of sequence jpjp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46832 = 25*y - 41*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -16. Let p(x) = x**2 + 35*x - 74. Let a be p(-37). Suppose 0*k - 77 = -s*g - k, a = 5*g - 2*k - 106. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19a88 (base 12) in base 11?\nAnswer: 26473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + -8 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 8*q - 9. Let l be o(-9). Solve l = 3*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2140949291 and 2.\nAnswer: -2140949289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 437.6936 days in nanoseconds?\nAnswer: 37816727040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t + 25. Calculate z(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -adc0 (base 15) to base 8\nAnswer: -107767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100010110011010001 + -110?\nAnswer: -10100010110011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -8*h - 2 + 7*h**2 + 3 - 1 + h**3. Let p be m(-8). What is d in 0*d - 2*d**4 + p + 8\/5*d**3 - 2\/5*d**2 + 4\/5*d**5 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -27*o**5\/100 - 4*o**4\/5 - 7*o**3\/10 + 128*o + 3. Factor z(l).\nAnswer: -3*l*(l + 1)*(9*l + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -3*c + 2. Let t(r) = r**3 + 2*r**2 - 5*r + 2. Let u be t(-4). Let o be (-6)\/(-10) + (-14)\/u. Suppose -4*k - 8 = o*d, -12 - 3 = 5*k. Determine m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/15*(-503 + 3). Suppose 2*p - 18*p + h = 0. Solve -g + 0*w = w - 7, 3*w = -5*g + p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -24901797, -24901794, -24901791, -24901788, -24901785, -24901782?\n\"Answer: 3*t - 24901800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*m - 2*x, 2*x = 2*m - 5 - 1. Suppose 2*s + 474 = 4*n, n - 4*s + m*s - 111 = 0. 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: Round 6606 to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.46789 + 0.06789. Which is the closest to 3\/2?  (a) 6  (b) -0.3  (c) s  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**3 + 21888*j**2 + 30397140*j + 1238365800.\nAnswer: 4*(j + 42)*(j + 2715)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -2. Let x = -4 + 18. Let m = x + q. What is the least common multiple of 12 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4556, 9164, 13810, 18500, 23240, 28036, 32894, 37820?\nAnswer: 42820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-24))\/((-1)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.3 - -1.1. Let l = -3.1 + g. Suppose -39*n = -37*n - 3*q, -q = -2*n - 4. Which is the nearest to -1?  (a) n  (b) -5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**5 - 14463*b**4 + 3*b**3 + 31261324*b**2 + 1.\nAnswer: -120*b**2 - 347112*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 - -88. What is the third derivative of 21*o**3 + 34*o - q*o**2 - 34*o wrt o?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65187553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4291)\/(-5517))\/(35\/2)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (27 + -53 - -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28291716 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31.9 + -32. Sort -2\/3, -2, g in increasing order.\nAnswer: -2, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, x: 8}. Give prob of sequence xxgg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10934 and 12361668?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*-3*4\/6. Let f(k) = 0*k**2 - 3*k - t*k - k**2. Let g be (2 - 2) + -2 + -2. Give f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -875 divided by -125.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2 + 6 - 197*s - 11.\nAnswer: -197*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 307414 times 0.6?\nAnswer: 184448.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {b: 1, n: 1, l: 3, q: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -11*q**3\/3 + 11*q**2\/2 - 2*q - 4. Let d(n) = 5*n**2 - 5*n + 1. Give 9*d(o) + 4*h(o).\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hprhphhhhhhrhph. What is prob of picking 1 p and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vfvv. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -77 + 81. Put r, 0, -4, -2 in ascending order.\nAnswer: -4, -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*r = -31, 3*j + j = 5*r - 33. Let z(i) = -i**3 + 2*i**2 + 3*i + 3. List the prime factors of z(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -160 + 164. Solve 8 = -p*j + 8*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**5 + 44*f**4 - 576*f**3 - 11840*f**2 + 25600*f = 0. What is f?\nAnswer: -20, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 72*u**2 + 10*u + 14. Let k be y(-1). Let l(x) = -33*x + 1. Let z be l(2). Let v = z + k. Solve v*q - 6*q = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373200 smaller than 6\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44440 = -8100315*n + 8099911*n for n.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 354589.195 plus -1524198?\nAnswer: -1169608.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d - 1. Let q(v) = 47*v + 76. Let i be q(-3). Let j = -71 - i. Calculate k(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**22\/(f\/(f*f**(-43)))*f**(-1\/12)\/f*f*f**(-3\/29)*f assuming f is positive.\nAnswer: f**(-7025\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 479*l + 85 = 484*l, -5*a + 4*l - 68 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t. Let r(f) be the first derivative of f**2 - 2*f**2 + 2 + 0*f**2. Give z(r(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 3*a - 90, -80 = 2*d - 6*d - 4*a. What is the remainder when 177 is divided by (-748)\/(-12) + 1\/(d\/10)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -75*y + 12. Let x(c) = -c + 1. Calculate u(j) - 4*x(j).\nAnswer: -71*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 452 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/25 of a litre in millilitres?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 502*v**2 - 494*v**2 - 8*v + 27*v - 7*v**3 - 6. List the prime factors of h(-5).\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -7 - -6 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/39636 and -81\/60922.\nAnswer: 3289788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/4 - 270\/(-12). Let n = 16 - b. Let k = n - -10. Solve 3 = 3*z + 3*c, 0*c = c - k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -192\/1225 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -3982.251638 to the nearest integer.\nAnswer: -3982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -8*r - 1. Let p(c) = 40*c + 6. Let v(o) = -14*a(o) - 3*p(o). What is the first derivative of v(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t**2 - 2*t + 5. Let m(j) = j**2 - j + 4. Let n(z) = -4*h(z) + 6*m(z). Determine a so that n(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 401.7183ms?\nAnswer: 0.4017183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 24*m - 42. What are the prime factors of g(14)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 5. Let w be d(3). Let m be (w\/(-7))\/(14\/49). Solve -z = z - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(50)*-1)\/sqrt(10) - ((sqrt(20)\/sqrt(4)*-5)**2 - (sqrt(45)*1 + sqrt(45))).\nAnswer: -125 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 4:23 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 28 = -4*p, 0*p = 3*p + 9. Suppose 5*y + 71 = 11. Sort z, y, -3.\nAnswer: y, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, j: 2, x: 2}. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -241 >= -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1359 - 151.7359. Let i = -133 - c. Round i to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6392188800 to the nearest integer?\nAnswer: 79951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 18 = 4*z, -2*o - o + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 21 = 5*s - 36, 0 = 3*l + 3*s - 21. Put 4, -3, l, 1 in decreasing order.\nAnswer: l, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 9*p - 471. Let j(b) = -3*b + 151. Calculate -17*j(g) - 6*k(g).\nAnswer: -3*g + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f - 2*f + 3*f)*(3 - 3 - 2*f) + f**2 + 0*f**2 - 4*f**2 to o + i*f + q*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7620, 7861, 8096, 8325, 8548, 8765?\n\"Answer: -3*i**2 + 250*i + 7373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*f*m**2 + 3*f*m*s**4 + 6*f*m - 4*f*s**2 - 2*f + 323*m**2*s wrt s.\nAnswer: 12*f*m*s**3 - 8*f*s + 323*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -178735, -357637, -536537, -715435, -894331, -1073225?\nAnswer: -1252117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 3:06 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1271754 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -2989.\nAnswer: 15\/2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3795091723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.4  (b) 10  (c) 5  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -172 divided by 2.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/18091 and 50\/33?\nAnswer: 597003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from cag.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 - 8. Suppose -4*q - 20 = u. Let w be 9\/36 + q\/(-8). Solve -w*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002024 (base 6) to base 4.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 64553 by 41.\nAnswer: 64553\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/352*2*(10 + -16). Put 32, l, 5 in ascending order.\nAnswer: l, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96, 179, 260, 339, 416, 491?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 15*d**4\/7 - 32*d**3\/7 - 41*d**2\/7 + 6*d\/7 = 0.\nAnswer: -1, 0, 2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-24))\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (-3 - -3) + 3. Let g be (-3 - -4) + -1 + i. Suppose -92 = -2*d + g*j, -2*j + 184 = 4*d + j. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/6*-1*2. Let u(h) be the second derivative of h**4\/12 + h**3\/6 + 2*h**2 - 11*h. Let y be u(0). What is the second biggest value in y, 0.7, r?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 39 + 2*-1. Let r(t) = -6*t**2 + 18*t + 113. Let j be r(-3). Solve -4*p + y = -3*s + 6*s, p = j*s - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 555254 (base 11) to base 14\nAnswer: 190960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/5 - 86*o\/5 - 267\/5.\nAnswer: (o - 89)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525792?\nAnswer: 2, 3, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + 3*d + 7*d - 4*d + 0*d + 3*d + (1 + 3 - 6)*(-d + 2*d + d))*(-3 + 2 + 0).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*f**3 + 16*f**3 + 45*f**3 - 100*f - 89*f**3 + 15*f**3.\nAnswer: 4*f**3 - 100*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(231)*-3 - sqrt(231))\/sqrt(7))\/sqrt(3).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uku. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**2 + 2*s + 5. Let y be l(0). Suppose 26 = 3*m - y*d, -7*d = 4*m - 6*d - 4. Find the second derivative of -812*o + 2 + 816*o - m + 9*o**2 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2638062 and 6822?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0, 9, -0.1, 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -278 + 17*l + 278 + 1 - 1 + 2*l + (3 - 2 - 3)*(-l + 0*l + 0*l).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -0.11  (c) 0.2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 16539, 16537, 16535?\n\"Answer: -2*t + 16541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyryrryypryypr. Give prob of sequence ryrr.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**4 + 72*t**3 + 28*t**2 - 2664*t + 4576 = 0. Calculate t.\nAnswer: -13, -11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4391210 divided by -2\nAnswer: 2195605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 25*p**2 + 3223*p - 250. What is s(-129)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4\/5  (b) 0.0769  (c) -2\/9  (d) -2\/5  (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 divided by 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 184271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, g: 10}. Give prob of picking 2 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -5*z**4 + 3*z**3 + 3*z**2 + 4*z + 3. Let y(f) = -24*f**4 + 14*f**3 + 16*f**2 + 20*f + 14. Let g(v) = 28*p(v) - 6*y(v). Suppose g(m) = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/54 and (6\/189)\/((-27)\/252)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 140 = -144 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/7 - 24\/(-14). Suppose 0 = 4*z + 5*u - 104, 20 = -m*u - 3*u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1467 divided by -6\nAnswer: -489\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a millennium in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/26, -2\/11, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44060305?\nAnswer: 5, 8812061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1142644, 2285295, 3427946, 4570597?\nAnswer: 5713248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 PM and 12:05 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11, 21, 75, 151?\n\"Answer: 11*a**2 - a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 266 + -270. List the prime factors of t\/16 + 662*7\/8.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 1. Let n(z) = -9*z + 4. Let b(j) = 6*j - 3. Let x(h) = 4*b(h) + 3*n(h). What is 2*i(t) + x(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-971*t**4 - 20195*t**3 + 20195*t**3)*(5 + 1 - 1).\nAnswer: -4855*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*h**2 - 1 - h - 7 + h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -203*v + 9 = -200*v - 30 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -11 - 1. Let f(m) = -s*m - 1 - 6 + 1 + 2. Calculate f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 1 + 4)*(19 + 8*d - 19) + (4 - 1 + 0)*(5*d - 40 - 35*d + 38) in the form p + g*d and give g.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(70)\/sqrt(2))\/sqrt(7) + -5*(-1 + sqrt(5))*-6 - (sqrt(280)\/(sqrt(8)*-1))\/(sqrt(28)\/(sqrt(4)*-1)).\nAnswer: -30 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -49 in -0.4, -4, 13, -1458, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n. Let i(v) = -9*v. Let a(y) = 10*y. Let s(h) = -5*a(h) - 6*i(h). What is l(s(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 43304225, 86608452, 129912677, 173216900, 216521121?\n\"Answer: -a**2 + 43304230*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 8. Let k(a) = -a + 2. Suppose 5*t - 2*o + 121 = 0, -3*t + 2*t - o = 20. What is the remainder when k(t) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/165612 and -143\/528168.\nAnswer: 19542216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 7  (b) 2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**4\/12 - 6*p. Let i(o) = -6*o**2. Determine d(i(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 372*a - 410*a - 232*a - 708*a as u*a + p and give u.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m - 3*m - 2*m + (2 + 2 - 2)*(0*m - m + 3*m) + (1 - 5 + 2)*(m - 2*m + 0*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 369.9 + -371. Which is the third smallest value?  (a) -7  (b) -2\/5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 - 46. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39 - 52 - -33) + -51?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(6) + (sqrt(6) - 2*sqrt(216)) + sqrt(6))*-5)\/(sqrt(2)*2*5 - (sqrt(30)\/sqrt(5))\/sqrt(3))*-4.\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, j: 3, q: 5, t: 2}. Give prob of picking 1 z and 2 q.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -3*x - 22 + 14, 0 = x + 2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 10*c - 62. Let k be m(7). Suppose -112 = u - k*u. Solve 2*i = -2*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -15*t**3 - 6*t**2 - 7*t - 8. Let d(p) = 2*p**2 + 3. What is 2*d(i) + v(i)?\nAnswer: -15*i**3 - 2*i**2 - 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 149971236059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 160337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 4*b + 7918, 15821 = 4*t + 6*b + b. Does 146 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p + 14. Let n be q(-10). Solve -12 = -y + n*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t - 2. Let g be k(-5). Suppose -g*b + 13 = 4. Let j be 3*2\/12*-10. Sort 5, b, j in decreasing order.\nAnswer: 5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*f = -6. Let q be (f - 3\/(-6))*-2. Suppose 4 = -4*j, u = -u - q*j + 23. Solve 0 = -2*x + 5*h + u, 4 = 6*x - 4*x + 4*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -11*n**2 - 198*n - 197. Determine l(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 - -24. Suppose 0*u = -c*u + 44. What is the units digit of (187\/u)\/(2\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -74\/195 + 3\/65. Let n = -3 + 2.5. Which is the nearest to 2\/3?  (a) u  (b) -0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 - 366\/(-42) - 4\/(-14). What is the highest common divisor of 55 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000018462 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -177, -176, -173, -168, -161, -152, -141?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.8 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 18*t**2 + 3*t - 46. Let s be o(18). Determine y so that 282*y - 4 + s + 286*y - 563*y + y**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**3 - 3*t**2 - 3185*t + 9534. Determine v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4196*v**6 - 80*v**2 - 4236*v**6 + v**2 - 2*v**3 wrt v.\nAnswer: -4800*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00444188495 to seven decimal places.\nAnswer: -0.0044419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -1512 and 12470 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/15 greater than or equal to -2679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**3 - 2*p**3 + 0*p**3 + p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = -9*r + 30. What is the remainder when r is divided by 7 - 2 - (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -181.6 - -180.6. Which is the third smallest value?  (a) 3.9  (b) -3  (c) -1\/2  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 3*w**3 - 6*w + w.\nAnswer: 3*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1371, -1364, -1321, -1224, -1055, -796, -429, 64?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -246912 divided by 246912?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-12341)\/(-105780) + 2\/24\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3*(sqrt(52) - sqrt(52)*-2) + sqrt(52)))\/(sqrt(36)\/(sqrt(63)\/((sqrt(7)*-3 - sqrt(7)) + sqrt(7)) - sqrt(9))).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o - 5. Calculate z(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2 - 30888*b - 371232.\nAnswer: 4*(b - 7734)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-36) - (-10101)\/(-189) - (16 + -4).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 17507 = -8974. Suppose -3*r + 47 + 22 = 0. What is the highest common factor of z and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0  (b) -1\/2  (c) 8\/13  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k, 5*h + 0*k = -5*k - 20. Let q = -2 + -4. Let v = 5.9 + q. Which is the closest to v?  (a) h  (b) -2\/17  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -4187*u**2 - 1071. Let p(l) = 2084*l**2 + 536. Let j(n) = -7*p(n) - 4*r(n). Differentiate j(h) wrt h.\nAnswer: 4320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b263 (base 14) to base 16.\nAnswer: -77c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t = w - 22*t - 9008, 4*t = 5*w - 44998. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of -h**7\/28 + h**6\/20 + 6*h**5\/5 + 5*h**4\/2 + 532*h. Let d(o) = 0. What is o?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, i: 5}. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 22*q + 14. Determine a(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 757.9 + -721. Let n = 39 - a. Let r = n + -0.1. What is the biggest value in 0.1, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1.2, 3 in decreasing order.\nAnswer: 3, 2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62466*x + 62469*x + 2*i = -211, -x - 14*i = 57 for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -372 - -404. Suppose 2*y + 3*b - 6 = 0, -z + 10 = -4*y - b. Solve -y*k + 0*k = 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b**2 + 2*b**4 + 73 + 120*b - 120*b + 12*b**4 wrt b.\nAnswer: 56*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15110 and 29155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + 6420 + -4 + (12 - 3). Let m = -2179 + v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53 - 233. Let l be y\/22 + 14\/77. Let x(g) = g**3 + 9*g**2 + 7*g - 7. Let p be x(l). Solve b + 0 = -p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 154389, 308780, 463171, 617562, 771953?\nAnswer: 926344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 14. Let t(r) = 4 - 4*r + 1 - r**2 + 11*r. Does 11 divide t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1625502, 6502009, 14629524, 26008047, 40637578, 58518117, 79649664?\nAnswer: 104032219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -24713117 and -26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32 + 68. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28013 is divided by 873?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k - 1546 - k + 1437)*(-4*k**2 + 0*k + 0*k) in the form a*k**3 + r*k**2 + b*k + d and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iomoihzy. Give prob of sequence hzio.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*10\/(-40) + 174\/(-8). Let o be (-12)\/l - 31580934\/(-121). Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 + (1 - 2 - -8 - -2) + -2\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 10. Let n = d - -3. Let s be 130\/20 - (-1)\/2. Solve -2*w + s*w = 5*l + 10, l = 3*w - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n - 94616 + 94772 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47*r**6*x**2 + 2*r**4*x**2 - r**2*x + 67*r*x**2 - x wrt r?\nAnswer: -5640*r**3*x**2 + 48*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 797947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234*i - 45 = -231*i. Which is the third smallest value?  (a) i  (b) 1\/9  (c) 1  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hoiihixooicooc. Give prob of picking 1 h and 1 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.53*1742\nAnswer: -923.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.02, 2.5, 0.5, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 5*v**2 + 8*v - 6 - 3*v - v**3 - 7*v. Let y be u(4). Suppose 120 = k + y*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 1 - (97 - 110).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29990599*-2.\nAnswer: -59981198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 225089981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48083, -96168, -144253, -192338?\nAnswer: -240423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 2*s + 26 = -2*f, f - 10 = 4*s. Let h(w) = 7*w + 3. Let q(l) = -l - 1. Let o(u) = -h(u) - 6*q(u). Calculate o(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -92.62 + 92. Let d = 1.38 - p. Which is the nearest to -0.1?  (a) -3\/2  (b) d  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 15. Let w(y) = -y**3 - 6*y**2 + 6*y - 6. Let t be w(-7). What is the closest to t in 0, 3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggss when four letters picked without replacement from {s: 3, g: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -24201*s + 38. Let w be n(29). Let q = w + 1019791. Round q to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 10. Let m be u(0). Let g = -7 + m. Suppose 0 = p + g*p - 52. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of 2*l**3\/3 + 4*l**2 + 8*l + 76. Let f(k) = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 + 3.9. Let u be 5 - (-1*2 + 2). Which is the smallest value?  (a) 1\/5  (b) x  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 137\/102  (b) -1\/2  (c) -6\/325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 882359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -26, 0.0086, 2\/15, -2 in descending order.\nAnswer: 2\/7, 2\/15, 0.0086, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(-2) + 4)*(-4 - -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -60, -53, -38, -15, 16, 55, 102?\n\"Answer: 4*v**2 - 5*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5078 - 524956232\nAnswer: -524951154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 3*z + 1. Calculate the remainder when d(3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -s - 0 + 25, 5*d = 5*s - 50. What is the third biggest value in -0.4, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 495720 and 3780.\nAnswer: 3470040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b3 (base 13) to base 2\nAnswer: 10010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, j: 2, i: 4}. Give prob of sequence jii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -64*j - 148. Let t be v(-10). Let q(m) = 989*m**2 - t*m**2 - 501*m**2. Let c(n) = 7*n. What is c(q(x))?\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**6\/120 - y**5\/60 - y**4\/24 - y**3 - 250*y**2. Let f = -48 - -48. Give k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3399379056.\nAnswer: 2, 3, 7868933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 28713, 57404, 86069, 114696, 143273, 171788, 200229?\n\"Answer: -2*c**3 - c**2 + 28708*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 - -22653738214922.\nAnswer: 22653738214966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 4*l + 3 = 0, 12 = 2*d - l + 3*l. Let a(b) be the second derivative of -5\/6*b**d + 0 + 0*b**2 - 31*b. Let p(v) = -2*v**2. Determine a(p(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4\/7 - 4*v**2\/7.\nAnswer: v**2*(v - 2)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.06209 - -0.04869. Which is the third smallest value?  (a) t  (b) 1\/4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 4*a + 26. Calculate v(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1239 - -2600. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -1 - 3*h + 4*h + 4*h - 2*h. What is k(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(3*sqrt(2)) + sqrt(24)\/(sqrt(8) - (sqrt(8) + sqrt(288))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - 27*(-56)\/(-192)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -112*y - 2*y**2 + 229*y + 2*y**2 - 3*y**2 to v*y + z*y**2 + h and give v.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 6*h + 2*h - 2*h - 3*h - h. Let v(s) = -684*s. Determine x(v(c)).\nAnswer: -1368*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 6 = -u + 2, 5*t = 4*u - 6. Suppose 0 = -u*a + 8*a + 252. Let g = -66 - a. What is the second biggest value in 0.4, 13, -1, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9731394 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 5*f + 15 = 0, 245*q - 444*q + 201*q + 12 = 5*f for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -151 - 69. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (175\/(-75))\/(49\/504)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.7 - -0.4. Let z = 0.59 - 0.7. Let t = 2.11 + z. Is c at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b. Let a be r(0). Suppose a = -6*q - 0*q + 18. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.21 + -0.29. Let w = -464 + 4177\/9. Let a be (6\/8)\/(1\/(-4)). Put w, u, a in ascending order.\nAnswer: a, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-3) - 10\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 3*j + 10. Let n(t) be the second derivative of t**3\/6 - t**2\/2 - t. Let v(p) = 10*p - 9. Let i = -13733 - -13751. Give i*n(h) + j*v(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 2*y. Let f be 4 + 1 - (133 + -132). Let c(h) = -h. Let b be c(4). Let t be (-10)\/40 + (-9)\/b - f. What is x(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4256 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 2612*o - 6 = 2616*o, -7*o - 21 = 2*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/2 + 3\/2*o**2 - 6*o.\nAnswer: 3*(o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1013*k - 203 = 984*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-16)\/(-64))\/((-15)\/45))\/((-1)\/224*-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 189 + -318. Let a = l + 127. Let m = -0.04 + 0.04. What is the smallest value in a, 0.3, m, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44793 and 7371.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d + 1970. Let n(b) = -b**2. What is r(n(u))?\nAnswer: -2*u**2 + 1970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 1 - (13 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -j**5\/60 + 3*j**4\/8 - j**3 - 396*j**2. Calculate z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 33, -3, -2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**4*w)\/(w**(2\/11)*w))**(-2\/119)\/(((w*w*w**(-1\/4))\/w)**(2\/115)*(w**0*w)**(-6)) assuming w is positive.\nAnswer: w**(259799\/43010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.05643 + -26.18643. Let z = -26 - g. Let k = z + -0.1299999. What is k rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(-x**2 - 5*x**2 + 0*x**2) + (-x + 2*x + x)*(-15*x - 4*x - 10*x).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9560 is divided by 1965?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-1*(-1 + sqrt(153) + 1*sqrt(153) + sqrt(153) - (sqrt(153) - (sqrt(153) - (sqrt(153) + -1*sqrt(153) + -2 - sqrt(153))))))**2 + -4)*1.\nAnswer: 24*sqrt(17) + 2441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2167557139 rounded to five dps?\nAnswer: 0.21676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.372 and 0.1?\nAnswer: 0.6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwqfwrrfppqwpfwwqjp. Give prob of picking 2 r.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -1. Let n(g) be the second derivative of g**3\/3 - 2*g**2 - 10*g. Suppose -2*c = -0*c + 2. Give c*n(x) + 4*f(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*x = -h + 17*x - 69, -x = -2*h + x - 50 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.85 + 1.15. Which is the nearest to v?  (a) 10  (b) 3  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28*-39.1\nAnswer: 1094.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3a32 (base 11) to base 9\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**2 + l + 2. Let n(g) = -13*g**2 - 2*g - 11. Let y(c) = 5*a(c) + n(c). Determine y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -18561.\nAnswer: -18561.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 10*m**2 + 2*m + 1. Let p be o(-1). Suppose 4*a = a + p. Suppose 2*z - 8 = -f, -a*f + 4*z + 92 = f. Calculate the least common multiple of f and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 2:58 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w + 22. Let j(u) = -1. Let l(z) = 2*j(z) - v(z). Let d be l(24). Suppose -o - 103 + 312 = d. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.5465 rounded to 1 dp?\nAnswer: 73.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -852 divided by -6?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 207 or -59750?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*k = 240, 2*q - 3*k - 27 - 69 = 0. Suppose -5*p + 118 = -282. Let t = p - q. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 152252063?\nAnswer: 152252061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-4)\/(-8)*18\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2465 = -102*a - 4553 + 13920. Calculate the greatest common divisor of a and 7453.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 3*i + 1. Let m be b(-2). Suppose m*t + 2*t - 90 = 0. Suppose 0 = 87*g + 120*g - 828. Solve g*a - 6 + t = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.1 - 4.6. Which is the nearest to -1?  (a) y  (b) -0.1  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/17?  (a) 5.46  (b) -134  (c) -4  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -8278962.\nAnswer: 827896.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 24*q - 23. Let j(p) = -4*p + 4. Suppose -13*m + 11*m = 12. Let w(f) = m*u(f) - 34*j(f). What is the derivative of w(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21773, 43527, 65257, 86951, 108597, 130183, 151697, 173127?\n\"Answer: -2*v**3 + 21768*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b**(-5\/4)\/b)*b*b**(-1\/8)*b)\/(b\/(b*b\/b**(-2\/3)))**(14\/5))**(-2\/25) assuming b is positive.\nAnswer: b**(-259\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 56203*b*o**2 - 1508512*b*o*t - 45*o**2*t - 2302*o**2 wrt t.\nAnswer: -1508512*b*o - 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**2 - 4 + 2 + 7 + 0 + 3*j**3. Let k = 8 - 18. Let d be k - -7 - (-2)\/2. Let p(w) = w**3 + w**2 + 2. Calculate d*h(a) + 5*p(a).\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156571695 is divided by 464.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/s**0*s**(2\/9))**23 assuming s is positive.\nAnswer: s**(460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1162.3 - -1002. What is v rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -15.3. Let w = d - -1. Let i = -0.4 - w. What is the nearest to -0.1 in 4, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-20)\/(-456)*(-8)\/20.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*j = c + 268*j - 50, 5*c + 70 = -5*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -313 in -5, 0.5, -0.2, 0.85?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)*-2 - sqrt(156))*4)\/(sqrt(12) + sqrt(12) + (sqrt(144)\/sqrt(3) + sqrt(48) - sqrt(12))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102 + 17*k**3 - 31 - 35 - 11*k**2 - 37.\nAnswer: 17*k**3 - 11*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**5 - 218*i**4 - 17*i**2 - 9*i wrt i?\nAnswer: -60*i**2 - 5232*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 7*q - 65. Let m(f) = -f + 8. Let d(a) = -40*m(a) - 5*v(a). Let y(h) = 2*h + 2. Give -3*d(l) + 8*y(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1192.4 - 1244.25. What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 3)*(q + 5*q - 4*q) + q - 1 + 1 + 175*q + 401*q + 209*q.\nAnswer: 784*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 v when four letters picked without replacement from {p: 5, v: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -640 - -1322. Suppose 10*s - p = 8*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -1062*z**2 + 5*z**3 + 533*z**2 + 538*z**2 + 9*z. Let f(y) = -y**3 - y**2 - y. Give -2*d(h) - 18*f(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -287097, -287072, -287047, -287022?\n\"Answer: 25*c - 287122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {u: 2, v: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-6)*73\/(365\/155850). Round b to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -354 + 362. What is the nearest to -0.2 in c, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 562 (base 14) to base 4.\nAnswer: 100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4280 and 19265885.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x - 8. Let o be b(-8). Let p be o\/15 - (-2)\/3. Is p < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 59, 180, 375, 638, 963, 1344?\n\"Answer: -r**3 + 43*r**2 - r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 5*q**2 + 4*q + 5. Let b be l(-6). Solve 4*d = -4*a - 4 - 0, 0 = -3*d + 4*a - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*b + 113097*f - 113093*f, -5*b = -4*f + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5 is divided by ((-50)\/15)\/2*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-5)*s)\/s)**29*s**(9\/2)\/(s\/(s*s**(3\/4)*s)) assuming s is positive.\nAnswer: s**(721\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -20*u**3 + 69*u**2 + 60*u - 8. Let q(h) = h**2 - 2. Let b(g) = -c(g) + 4*q(g). Factor b(m).\nAnswer: 5*m*(m - 4)*(4*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n + 100 - 66 - 3*n. Is 14 a factor of d(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + r = 3*l - 8, 0 = -2*r - l + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/(12\/123) - ((-14 - -25) + -8) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-8.7.\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12 + 31*f**4 - 5 - 26*f**4 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1521133388?\nAnswer: 2, 19, 20014913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (9 + (4 - 8))) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, 58, 17, 7, -5.\nAnswer: -7, -5, 3, 7, 17, 58","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 1572 + -1115. Let z = 675 - w. What are the prime factors of z?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -767 (base 10) to base 6.\nAnswer: -3315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20031220330 (base 4) to base 2\nAnswer: -1000001101101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29 (base 11) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 4*j + 5*h - 36, -5*j + h = -16. Suppose -j*m + 88 = -0*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1781579.\nAnswer: 547, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30888?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1418?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 209bd1 (base 14) to base 2\nAnswer: 100001101001101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 107766 or 538832\/5?\nAnswer: 538832\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + l + 19 = 0, 0 = -5*l - 14 - 6. What is the biggest value in 0, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21.7151 tonnes to nanograms.\nAnswer: 21715100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - v**2 - 3*v + 8. Let a(g) = -g**3 - 3*g + 7. Let i(c) = 6*a(c) - 5*b(c). Let n be i(4). Is (2\/(-2) - -2)*n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 1, -3, -434, 0 in descending order.\nAnswer: 3, 1, 0, -3, -5, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + 4*x + 23. Let i = -37 - -53. What is the least common multiple of i and z(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 841759 is divided by 40079.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*o - 6*o - 264 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/7  (b) -3\/7  (c) 0.3  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 15*l**2. Let p(i) = -i + 0*i - 2 + 2. Determine j(p(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 485582533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -6. Suppose k*p = 4*p - 3. Suppose -5*x + p*x = 0. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 d, 1 k, and 1 g when four letters picked without replacement from {g: 4, k: 1, f: 3, d: 1, u: 5, y: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -62110376 - -30?\nAnswer: -62110346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 19\/3  (b) -1.6  (c) -11010\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3\/8 + 1\/8. Let k be -5 + (1166\/(-99) - -12 - 178\/(-36)). Which is the nearest to -0.9?  (a) -5\/2  (b) k  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (150 - 150 - 20*z)*(1 - 1 - z + z**2)*(-5*z + 6*z + z).\nAnswer: -40*z**4 + 40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1032518 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4095322069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4552 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140201 is divided by 46732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 2 w, and 1 o when four letters picked without replacement from {p: 5, o: 3, w: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -d**5\/20 - d**4\/4 - d**3\/6 + 2*d**2 + d. What are the prime factors of y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.062 and -0.8?\nAnswer: -0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.155 + -0.154026. Round m to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 664146 a multiple of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 224134613 a multiple of 4352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -2. Let p = o - 5. Let c = 2.5 - 2. What is the smallest value in p, -4\/5, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 170 = 4*h. What is the remainder when h is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -5*j**3 + 8*j**2 - 7. Let r(y) be the second derivative of -y**5\/20 + y**4\/12 - y**2\/2 + 2*y + 11. Determine -6*r(z) + s(z).\nAnswer: z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64561.\nAnswer: 7, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 511*p**2 + 10*p - 13. Is k(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qqvvoqqgogqoq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 - -35.44. Let z = t - -4.56. Sort z, -2, 35 in ascending order.\nAnswer: -2, z, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 80 = 117. Let x(p) = 4*p + 26. Calculate the remainder when w is divided by x(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1709, -5770, -12185, -20954, -32077, -45554, -61385?\n\"Answer: -1177*x**2 - 530*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 4:43 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43 + 44.5. What is the nearest to d in 0, 1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of x**2 + 4*x + 2\/27*x**3 + 101. Factor s(k).\nAnswer: 2*(k + 3)*(k + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*g - 2*g - 18 = 0, 4*l + 32 = -2*g. Which is the closest to 0?  (a) 0  (b) l  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 3*j + 15 = 0, n - 3 = 4*j - 3*j. Let x(m) = m + 3. What is the units digit of x(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 543, 1531, 2555, 3627, 4759, 5963, 7251, 8635?\n\"Answer: 2*v**3 + 6*v**2 + 956*v - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, 0, 9, -266 in ascending order.\nAnswer: -266, 0, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 3. Let u be v(0). Let o = 1 - u. What is the tens digit of 46 - (-2 + o\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 7295938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8\/11?  (a) 1280  (b) 1  (c) 6\/11  (d) -3  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 5:28 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a factor of 1037744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -161\/855 - 2\/171. Put t, -0.12, -0.1, -2 in decreasing order.\nAnswer: -0.1, -0.12, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**2 + 756*c + 8. Let r(y) = -y**2 - 379*y - 3. What is -2*a(u) - 5*r(u)?\nAnswer: -u**2 + 383*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 22637.03 microseconds?\nAnswer: 0.02263703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005192150285 rounded to 4 decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 - 25*i**2 - 68*i - 170. Determine p(-16).\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1297 + 9?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -11*v + 3. Let o(n) = -21*n + 7. Give 7*j(m) - 3*o(m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1499 is divided by 765?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 11:45 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-12)*q*q)**(-1\/39)\/(q\/q**(-22))**(-31) assuming q is positive.\nAnswer: q**(9272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17043, -34069, -51095, -68121, -85147, -102173?\n\"Answer: -17026*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(1\/5)*n*n**6)\/(n*n**(-1\/5))**(3\/8))**(-4\/15))**35 assuming n is positive.\nAnswer: n**(-322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -7546110 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 - 14605231?\nAnswer: -14605254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f**2 - 453180922*f**3 - 3*f**2 + 453180684*f**3.\nAnswer: -238*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/6*5\/(50\/8)*(-1286250)\/8575.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of 0*f**4 + 0*f - 1\/60*f**5 - 2*f**2 + 0 + 5\/2*f**3. Suppose -7*w + 12 = -4*u - 10*w, -u - 4*w - 16 = 0. Give m(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 14.99986. Round q to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.033 + -2.513. Let b = k - -3. Let y = b + -0.22. Sort y, 5\/2, -0.3 in descending order.\nAnswer: 5\/2, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9212 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-4 + -3 + 2 + (sqrt(7) - (-3 + (sqrt(63)\/sqrt(9) - sqrt(7)))))*-1)**2*-2.\nAnswer: -22 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 763 = w. Suppose -3*t = 94 - w. Suppose -t*x - 4*x = -54. Calculate the greatest common divisor of 114 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + u - 26. Let t be -12 - (7 + 1)\/(-2). What are the prime factors of x(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*p - 4*p + 2*p)*(-p + 0*p + 0*p + (p - 2*p - p)*(1 + 7 - 1) - 5*p + 4*p + 3*p).\nAnswer: -65*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + (-2)\/6)\/(6\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 287908\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1\/4, -7, 207 in descending order.\nAnswer: 207, 1\/4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -67*w - 84*w - 423*w - 73*w + 84*w + w - 2*w - w + (2 - 2*w - 2)*(2 + 1 - 1) - w + 2*w + 0*w.\nAnswer: -568*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-293*l + 150*l + 5 + 145*l)*(-l**2 + 4*l - 4*l).\nAnswer: -2*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 406 or 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uka when three letters picked without replacement from kutatutstkkkttsk.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 10001000?\nAnswer: -10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 8 - 7 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t = -29*t + 5094. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/6 + 11\/(-10) - 1296\/(-360). Put z, -1, -1007 in increasing order.\nAnswer: -1007, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 12*a - 6. Determine u(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 19*h**2 + 1 - 12*h**3 + 19\/2*h = 0.\nAnswer: -1\/4, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 267173 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/4 + (-9)\/(-12))\/(-1). Which is greater: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005427 to four dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 149625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**2 - 1114422*b + 5572185 = 0 for b.\nAnswer: -371479, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) 6\/11  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + s + 572. Let d be h(0). Suppose 2*t - 276 = a, d = 4*t + 2*a + a. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9 - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156375 divided by 52125.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bwb when three letters picked without replacement from bsswbsbbbbsbbbwwbd?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -129 - -130. Sort 0, -1, -5, w.\nAnswer: -5, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -65*a**4\/12 + 3*a. Let z(l) be the second derivative of -l**4\/12 - 688*l. Determine z(q(p)).\nAnswer: -4225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 2*b + 1102, -5*u = 2*b - 0*b - 1098. Suppose -4*p + 2*w = p - u, p + 2*w - 56 = 0. Find the common denominator of -147*4\/(-80) + 8\/20 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, 94 in descending order.\nAnswer: 94, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58683, -58694, -58729, -58800, -58919, -59098, -59349?\nAnswer: -59684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 4620 = -8*h. Suppose 42*z = -13*z + h. Let c(s) = -s + 7. Determine c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 8*z**2 - 8*z - 8. Let l(q) = -q + 2. Let s be l(9). Let g be y(s). Is (-1)\/((g - 2)\/231) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = g - 6*g - 3, -2*g - 2 = z. What is the remainder when 90 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, u: 2, s: 9}. What is prob of sequence shs?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 34\/(-8) - 4\/(-16). Let m(c) = c**2 - 4*c - 11. Let p(r) = -2*r**2 + 7*r + 21. Let w(z) = -11*m(z) - 6*p(z). Determine w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -3*g + 15, -7*g = 5*r - 3*g - 10. Solve r*b = 74 - 98 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/8 - (3452\/(-16) - -1).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m**2 + 21*m + 125. Let a(b) = -6*b**2 + 20*b + 125. Let z(c) = -6*a(c) + 5*t(c). Let p(r) be the first derivative of z(r). Calculate p(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from ejjngngjqeqqneeeqege?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 2*f + 5*f)*(f + f - 3*f) - 57*f**2 - 186*f**2 + 54*f**2.\nAnswer: -191*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**9))**(-40)\/((t\/(t\/(t*t*t*t**(-9\/2)))*t*t)\/(t**(-2\/17)\/t*t*t)))**(-1\/5) assuming t is positive.\nAnswer: t**(-12253\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 17 + 17 = 3*z, 0 = -3*j - 6. Suppose 17*l - z*l + 5 = 0. Let v be (-56)\/(-32)*4*l. Do -1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 5*t**2 - 3*t - 4. Suppose 0 = m - 0*m - 8. Calculate the least common multiple of a(-4) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71167431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 2\/7, -1\/4, -2.2822?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 98 = -2*n + 4*k, 0 = -5*n + 2*k + 146. What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h + 5. Let k be j(3). Let c be (k\/(-2))\/(3\/(-12)). Suppose -95 + 3 = -c*t. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (-18 + 12)) + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/1920 and 1\/160320?\nAnswer: 320640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-56)\/126)\/(12\/18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ltlltlllltl. Give prob of sequence tll.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -101 in 0.012, -4\/3, -0.05, 4\/165?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 8*z**2 - 38*z - 4. Let v be y(5). Suppose -v*d + 109 = -419. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 929.555kg in grams?\nAnswer: 929555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (54\/(-15))\/(172\/20 - 9) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 5*i**2 + 5*i - 6. Let h(w) = 11*w**2 + 55*w - 92. Let q(u) = 5*u**2 + 29*u - 49. Let b(s) = -6*h(s) + 11*q(s). Calculate -4*b(r) - 9*j(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 230 divided by -3083\nAnswer: -230\/3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 326, 739, 1318, 2063, 2974?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42048)\/8176)\/((-3)\/(-7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -s**5\/60 + 37*s**4\/24 - 51*s**3\/2 + 36*s**2 - 5. Let t be g(5). Solve -p + t = -2*l, 3*p - 16 = -4*l + 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 27*b - 3. Is d(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(66) - (-1*sqrt(66) - sqrt(66))*-2 - (sqrt(66) - (sqrt(66) - 1*sqrt(66)) - sqrt(66))*2))\/(1*2*sqrt(600)*-3).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -183\/82403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 1. Let m be s(4). Let t(i) = 5*i + 2. Let g(r) = -2*r - 1. Let o(q) = -9*g(q) - 4*t(q). Give o(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -353*p**2 - 580*p - 6. Let f(o) = 352*o**2 + 580*o + 8. Let d(r) = 4*c(r) + 3*f(r). Find the second derivative of d(y) wrt y.\nAnswer: -712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 6*h**2 + 4*h. Let m be f(6). Let l = m - 24. Round l to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u**3 + 3*u**3 + 8*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 369 + 219. Is a a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -3. Let f = r - 1.99999876. What is f rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15ad1a08 + 2?\nAnswer: 15ad1a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 234 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 146906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -76 or -77?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*i - 134 + 702 = -1028 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -3*g - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/9*(-4)\/8. Let w = -391\/77 + 59\/11. What is the nearest to 11 in t, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r. Let q(d) = 4*d + 2. Determine -6*j(g) + q(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 6*a**2 - 2*a + 1. Let r be c(3). Suppose 0 = -r*j + 23*j - 7. Suppose 3*i - j*i = -100. Calculate the highest common divisor of i and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 90, 96, 80, 36, -42, -160, -324?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 6:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-158326)\/(-4) + 20\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10991\/9 - 1217. Find the common denominator of (170 - 1\/1)\/(-30) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -95*x - 395. Suppose -4468 = 64*k - 4212. Determine m(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((0 + sqrt(2736) - sqrt(2736) - sqrt(2736)) + sqrt(2736))*-5 + -3)**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*((-2)\/3)\/((-22)\/(-3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 285\/(-304)*92\/(-115)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 5 = 388*a - 393*a, 0 = a - 3*v - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 302599713 to the nearest integer?\nAnswer: 17395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-9))\/(((-22)\/(-24))\/((-99)\/792))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by -19.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 1\/7, 2\/63, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 663 a factor of 42724101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/(-30))\/(2\/18310). Let k = b - 1987. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*w - 2572990 + 508796. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 964086, 3856480, 8677130, 15426030, 24103174, 34708556?\n\"Answer: -n**3 + 964134*n**2 - n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 83 = 107. Let t(q) = -116. Let f(v) = -41. Let a(n) = p*t(n) + 17*f(n). Let i(j) = -2*j - 6. Give -6*a(m) + i(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -1, -0.2, -70, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 24015527 + 0?\nAnswer: 24015527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-1\/5))**(-33))**(-27)*((d*d**(-8)\/d)\/d**(2\/13))**(-9) assuming d is positive.\nAnswer: d**(74268\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (49\/25 - 3)\/(84\/60). Is 0 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 4*o - 3 = 0. What is the remainder when 83 is divided by 78\/65*(o - -16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*(294\/(-63) - -6). Let u be ((-9)\/2 + 2)*-2. Let l(h) = -2*h**2 - 19*h + 7. Let y(r) = -3*r**2 - 29*r + 10. Let a(o) = u*y(o) - 8*l(o). Give a(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5651, 45307, 152945, 362555, 708127?\n\"Answer: 5665*y**3 + y**2 - 2*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3*z + 489 = -o, 3*o + 3*z = 1443. Let v = o + -153. Find g such that g**3 + v - 330 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -23*k - 157. Let z be x(-8). Solve -5*f = 4*v + 31, -3*v = 3*f + z - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 8*o = -8. Let c be 3\/o - (-10)\/4. Determine v so that -v + c - v**2 - 1 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**5\/30 - x**3\/3 + 2*x**2 + x. Let z(m) be the first derivative of n(m). Factor z(c).\nAnswer: 2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 - (7 - 3 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) + 4*(sqrt(84) - 1*sqrt(84) - sqrt(84)))\/(-1*sqrt(192)) - (3 + 5*(2 + sqrt(448)))**2.\nAnswer: -11369 - 4157*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*c = -3*h + 72, h = -3*c + 33. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 3*y = 5*x - 35, 0 = -x + 4*y + 20. Let a be (-176)\/(-3)*(-6)\/(-4). Suppose -2*b - x = -a. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -6*k**2 - 11*k + 3. Let z(x) = 11*x**2 + 21*x - 6. Determine -7*o(p) - 4*z(p).\nAnswer: -2*p**2 - 7*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28 and 115028158.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2667551933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13321, -26643, -39965, -53287, -66609?\nAnswer: -79931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 129 + -69. Let h be z\/(1 - (3 - 3)). Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.5 times 1129?\nAnswer: 3951.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -374 - 519 + 8211*p**6 + 9*p**2 - 4*p**2 - 8102*p**6 - 2*p**4 - p**3 wrt p?\nAnswer: 13080*p**3 - 48*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*p + 4*i, 5*p - 5*i + 7 = 32. Suppose 5*g - p*h + h = -64999985, g - 3*h = -12999985. What is g rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-36)\/66 - (-11769100)\/44. Let x = -81313689\/304 + g. Find the common denominator of 14\/5 and x.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6216 divided by 74?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 5\/32*c**4 - 1\/320*c**6 - 33*c**2 - 2 + 0*c**3 + 0*c - 9\/160*c**5. Find j such that l(j) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 16*z - 43. Calculate h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 140685975 divided by -46895325\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 102*j + 667. What is the tens digit of z(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -117950, -235744, -353532, -471314, -589090, -706860, -824624?\n\"Answer: 3*a**2 - 117803*a - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 5*b**2\/2 + 6*b + 33. Is 12 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z**12))\/z*z)\/z**(-17))**(2\/193) assuming z is positive.\nAnswer: z**(10\/193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 * 867077.\nAnswer: 6936616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 55*j - 4*j + 44*j - 570. Calculate the smallest common multiple of 78 and j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9903.722us?\nAnswer: 0.009903722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -140 - -721?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567698406.\nAnswer: 2, 3, 11, 8601491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2 + -1*sqrt(475))*3)**2.\nAnswer: -6480*sqrt(19) + 155196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 66*p**3 + 35*p**2 - 2*p + 83726 wrt p.\nAnswer: 198*p**2 + 70*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.1 + 2. Let y = h + -0.9. Let i = 71\/2 + -36. What is the closest to y in -3, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 - (-13 + 12)) + -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-two fifteenths of a century in months?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, u: 2, z: 2, m: 1, c: 1}. Give prob of sequence zuz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41855 is divided by 809?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4*g = 10. What is the least common multiple of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 + 0*l - l - 3*l + 2 as i*l + j and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 7 = -9. Let b be h\/((-9)\/3 + 4). Let o(t) = 16*t**2 - t + 2. Let p be o(b). What is the greatest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.11 + -2.89. Let n = 0 + -0.5. What is the smallest value in s, n, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19963686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1342268 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263099 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 820254965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*m - 4*h, -2*h = 2*m - 62 + 64. Find o such that 0*o**4 + 4\/9*o**m + 2\/9*o**5 + 0*o - 2\/3*o**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2600)\/(-90))\/(-13)*(-54)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t + 2*t + 20*t**3 + (2*t + t**2 - 2*t)*(5*t - 4*t - 3*t) + 0*t**3 - 5*t**3 + 3*t**3 + (-t + 3*t - 4*t)*(t**2 - t**2 + t**2).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hlpp when four letters picked without replacement from llhllhlphllphlhlh?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/120 and -39\/460?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 1:12 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 8:10 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 < 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 5.8. Let z = 0.3 - c. Let d = 1069\/9 + -119. What is the second biggest value in d, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23541.8ng to kilograms.\nAnswer: 0.0000000235418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1913 + -869. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c**3 - 3*c**3 + 0*c**3)*(74 + 9*c - 74)*(2 - 7 + 3) as v*c**4 + u*c**2 + z*c**3 + y + o*c and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 6*v**2 - 4*v + 28. Let l be q(6). Suppose -4*m = -9*m + l*t, -5*m - 5*t = 0. Which is bigger: 4\/7 or m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)*1*-1)\/(sqrt(15)\/sqrt(5)*-5 + sqrt(243) + sqrt(243)*-2).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 3*g**2 + 6*g + 4. Let i be b(-4). Let p = -4\/13 + 21\/26. What is the third smallest value in i, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3295400 rounded to the nearest 10000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in -1.1, -2, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -252 (base 12) to base 2\nAnswer: -101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**3 - 389*w + w**3 - 912*w.\nAnswer: w**3 - 1301*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*q**3 + 4 - 2*q + 8 + 0.\nAnswer: -10*q**3 - 2*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (204\/(-272))\/((-1)\/7044).\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2*j + 3 = 0. Solve -2*x - 1 = -j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 252878.\nAnswer: 505756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.3725  (b) -1.5  (c) 1\/10  (d) -0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65026248 divided by -121772.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2 - 219*d + 1688.\nAnswer: (d - 211)*(d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*n = -27*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of -t**4\/4 + 26*t**3\/3 - 15*t**2. Let i(y) = 3*y - 26. Let n(v) = -5*i(v) - 2*j(v). What is the units digit of n(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1537 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-28))\/((-6)\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - n + 0 + (2*n - 2*n - 3*n)*(1 + 1 + 1) + (-3*n + 5*n - n)*(-1 + 3 + 0) in the form m + q*n and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 339.612 * 1.9\nAnswer: 645.2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.06842 - 0.067. Round d to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 6 - 6 = 6. Let b(p) = p**2 - 3*p - 40. Give b(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((1*sqrt(396) - sqrt(396))\/sqrt(12))\/sqrt(11) + (sqrt(2541) - (sqrt(2541) - (sqrt(2541) - 1*sqrt(2541))))\/sqrt(7)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 8 = 0, 13*o + 5*d = 10*o + 28. Let m(w) = o - 4*w**2 + 5*w**2 + w - 10*w. Give m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d**2 - 18*d - 5. Let b be q(-5). Solve -a + b = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 8*i + 92. What is the lowest common multiple of 132 and g(-10)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -11\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 42 + 7*v**3 - 3*v**3 + 2*v**3 + 18*v**3 wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h**2 - h - 5. Let s be ((-15)\/(-17) + 18\/153)*5. Let m(l) be the first derivative of -7*l**3\/3 + l**2\/2 + 11*l + 26. Determine s*x(f) + 2*m(f).\nAnswer: f**2 - 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-185)\/(((-9)\/3)\/6). Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 523\/5*q**3 + 1321\/5*q**2 + 43\/5*q**4 + 80 + 248*q + 1\/5*q**5.\nAnswer: (q + 1)**3*(q + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 43?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 53*p**2 - 115*p + 27. Let g(o) = 160*o**2 - 348*o + 80. Let d(i) = -3*g(i) + 8*t(i). Factor d(r).\nAnswer: -4*(r - 2)*(14*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from weewweewew.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3536 - 3506. Let r be -1 - -6*(-14)\/(-4). Calculate the highest common divisor of r and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30 + 1544*j**2 - 1548*j**2 - 56*j**3 + 28*j**3 + (0*j + 0*j - j**2)*(3*j - j + 0*j) to the form n*j**2 + a*j + r + k*j**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 4*l + 21 = 0, 4*l - 2*l = v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4251\/(-1417) + 2 + 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3565888439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2\/5551 + -11140\/105469. Which is the nearest to 1?  (a) 16  (b) 0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**4*a)\/(a\/(a*a*a**(2\/19)))*(a**(3\/2)\/a)\/(a**(-3\/4)\/a))\/(((a**(3\/7)\/a)\/(a\/a**(-1\/3)))\/(a*a**0)**(-14\/13)) assuming a is positive.\nAnswer: a**(211279\/20748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -b - h - h, 3*b = -h + 5. Let i = b + -11. Let w(p) = -p - 17. Let d be w(i). Let t(a) = a + 5. Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) -2\/5  (c) 238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 3:01 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/55 and (20\/22)\/(2 - 4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 585 and 30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide (-146)\/((-6 - -4)*(-5)\/(-220))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1578a70 (base 11) to base 10.\nAnswer: -2691238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 238*s - 620 - 1998 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 261 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -t + 155. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*q + 2*p, -4*q - 13 = 4*p + 7. Let s = 79 - 42. Which is the fourth biggest value?  (a) -1\/3  (b) s  (c) 0.5  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1762831*k**3 + 6*k - 22356 wrt k.\nAnswer: 10576986*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.17, 0.2, -3, -1336.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47772197 is divided by 175?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 250436, 246588, 242738, 238886, 235032, 231176, 227318?\nAnswer: 223458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 116244 and 3501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 s when four letters picked without replacement from {p: 4, s: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-8\/7)*i**(-1\/15) assuming i is positive.\nAnswer: i**(-127\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 458633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3277, 6350, 9213, 11866, 14309?\nAnswer: 16542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**4 - 7*s**4 + s**4)*((-7 + 2 + 4)*(-5*s + 5*s - 2*s) + 0*s - 2*s + 3*s).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/4 - 19*o**2\/4 + o\/4 + 19\/4.\nAnswer: -(o - 1)*(o + 1)*(o + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*o = -2*d + 21, 4*d = -o - 3. Let x be (3\/1 + -3)\/d. Let 2\/5*a**2 - 4\/5*a + x = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.65 + -8.45. Let m = -0.2 + c. Let o = -9 - m. Sort o, 2, -4.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51763232 and 4896?\nAnswer: 465869088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 461430.953 to the nearest ten.\nAnswer: 461430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39\/43 + -818\/473. Find the common denominator of (-1346)\/60 + 4\/(-10) and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*x + 2772*x - 1300*x)*(-1 + 3 - 1) in the form g*x + h and give g.\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 59 + -119 + 24 + 1 + 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**5\/7 + 23104*t**4\/7 + 3792359*t**3\/7 + 3769254*t**2\/7 = 0?\nAnswer: -162, -1, 0, 23267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 2*y + 1. Let w be m(5). Let z = -11 + w. Suppose -i = 4*b + z, b + b - 22 = -4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19649199 rounded to the nearest one hundred thousand?\nAnswer: -19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = 1222*g - 1204*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 + 49*d**2 + 100*d + 111. Let r be g(51). Put -3, r, -21 in decreasing order.\nAnswer: r, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -10. Suppose 0 = 2*f + 2*l - 10, 0*f = -2*f + i*l - 14. Let o = 60\/11 + -62\/11. Is f equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*k + 18 - 30, -2*u = 2*k - 2. Sort -66, 3, k in descending order.\nAnswer: 3, k, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 156, 6, -5, 2 in descending order.\nAnswer: 156, 6, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(-15) - (1 + 0\/3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 76574432 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 335609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(5\/3))\/(v*v\/v**5)*v**(-9\/2)\/((v\/(v*v*v**11))\/v) assuming v is positive.\nAnswer: v**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*u + 54 = 0, 4*s - 3*u - 74 = -s. Let f = s - -2. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-328 - (-544 + 211)) + (-1 + 2 - (1 - 4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7206 + -7204. Let k(o) be the first derivative of 23\/2*o**b - 25 + 0*o. Let y(i) = i. Determine y(k(t)).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (3 + (sqrt(200) + -2)**2 - ((sqrt(200) - sqrt(200)*2) + sqrt(200))*-3 - ((sqrt(200) - 1*(sqrt(200) + 4*sqrt(200))) + -3)).\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4*(sqrt(200) + sqrt(200)*-2*-3 + sqrt(200) - (3 + sqrt(200) + 1 + sqrt(200)))*-6*6)**2.\nAnswer: -9918720*sqrt(2) + 149628676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35 + -22 - -30) + -6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x + 2*x + 6*x + (-1 - 4 + 3)*(-1 + 1 - 2*x) + (-4 + 5 - 3 + (8 - 4 + 3)*(2 - 2 + 3))*(-2*x - 2 + 2) as r*x + v and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 3*c**2 + 5*c + 7. Let h be j(-3). Let u = 4 + h. List the prime factors of 238 - (-1 + 0\/u).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 5:37 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5*t + 87. Calculate d(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -24, 3\/2, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/5330 and 49\/30?\nAnswer: 15990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -7*i**2 + 6*i + 11. Let v(f) = -3*f**2 + 3*f + 5. Let d(s) = 6*o(s) - 13*v(s). Suppose 7*x = -35 + 14. Calculate d(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18640.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 271264837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 0 - 0 - 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 3*w - 3. Let u be x(4). Suppose 3*k - 60 = -17*k. Calculate the remainder when k is divided by (u - 0 - -1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -103 - -108.48. What is v rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of a**3\/3 - 9*a. Let h(g) = g. Calculate h(m(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*h - 4*a + 3*a, 2*a - 30 = -2*h. Suppose 0 = -4*n + h + 35. Let z(v) = 2*v**2 - v. Calculate the lowest common multiple of n and z(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 4*s = 2*s + 15 - 25, -4*s = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 61\/2 of a microsecond?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17042 - 16278. Which is smaller: 766 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241931 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4536705 and 4740?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*(209\/(-22) + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/28 + 1*1\/(-2). What is the fourth biggest value in -4\/9, -0.04, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240) - (sqrt(240) + -3*sqrt(240)))*-3)\/(sqrt(24)\/(sqrt(24)\/(sqrt(36)\/sqrt(3)))) + 1.\nAnswer: -18*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Divide 12069 by 12069.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48873?\nAnswer: 3, 11, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 8*j**2 - 7*j - 32. Let y be a(-5). Let z = 304 - y. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4949337201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47552 - 47549. Factor -1\/2*u**2 + 0 + 0*u - 1\/4*u**z.\nAnswer: -u**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -10*f**2 + 42*f + 13. Let s(v) = -11*v**2 + 41*v + 9. What is 2*a(p) - 3*s(p)?\nAnswer: 13*p**2 - 39*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002357520365 rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -3*q**5\/40 - 45*q**4\/32 - 61*q**3\/8 - 63*q**2\/16 + 147*q\/4 + 85. Determine o so that d(o) = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, h: 3, c: 4, m: 4, b: 1, z: 2}. What is prob of sequence zhm?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 5*o - 55, 3*f - 24*o = -26*o - 13 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 326\/1237995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.547 + 142.547. Put -1\/5, 3, r in decreasing order.\nAnswer: r, 3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25538042 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 117  (b) -8  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39 - 42. Is 4 - (-1382 - -2) - u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -290 - -296. Solve 3*s - 3 = v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2300077*o**4 - 1792*o**2 - 2*o + 1 wrt o.\nAnswer: 55201848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**2 + 176*l + 4604. Calculate c(-50).\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -313*p - 4 + 2 - 1 + 314*p + 2. Let c(o) be the first derivative of 4*o**2 - 8*o - 1. Let y = -4 - -3. Calculate y*c(h) + 10*l(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 929 is divided by 192?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(1\/(2*5\/(-260))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -43895854\nAnswer: 3\/43895854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 68676 times -0.185?\nAnswer: -12705.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 15326152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 3*a - 5*a - 51. Solve -a = 19*d + 116 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1295, 1\/2, -0.5, 1\/3 in ascending order.\nAnswer: -1295, -0.5, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/24 + (8 - (-66)\/(-8)). Let o = -2.6 + 3. What is the closest to g in 3, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5807 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/993761 and -47\/5962566?\nAnswer: 5962566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 785376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 30. Let y be (-6 - -5)\/(x\/5). Solve 0 = -4*c - w - 20, c - y*w = -0*w + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 554 minutes after 2:35 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 21918007.\nAnswer: 43836014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 7*a - 6. Let y(g) = -g - 11. Let i be y(-5). Let b be d(i). Suppose 230*f = 225*f + 20. Put f, 5, b in decreasing order.\nAnswer: 5, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1125)\/250 + 2*10\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from rjcdt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.036 and -0.0318?\nAnswer: 0.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*x**5 + 13*x**4 - 114*x**2 - 16*x**4 - 4*x**5 - 10*x**4 wrt x.\nAnswer: 120*x**2 - 312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 247004 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 0.193.\nAnswer: 0.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 3636?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -v + 56 - 18, -2*a - 3*v + 14 = 0. Suppose 4*u - 110 = -u. Calculate the least common multiple of u and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23 and 64150473.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -29*a**2 + 2*a + 256. Give v(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of 0*i**4 - 6 + 0*i**3 + 0*i**5 + 9\/2*i**2 + 0*i - 1\/2*i**6. What is the second derivative of d(v) wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-3) + 1)*-6. Suppose -2*l = w*p + 46, -l = -3*p + 2*p + 13. Is -17 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/3*((-16)\/4)\/(-8). Let c be 2\/(-11)*1\/2. What is the third smallest value in i, c, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tcctabc. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1315406 (base 7) to base 4.\nAnswer: 222011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -104*o + 2. Let h(v) be the third derivative of v**4\/24 - 43*v**2. What is w(h(t))?\nAnswer: -104*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, z: 1, s: 1, j: 1}. What is prob of picking 1 j and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**2 - 18*w - 6. Let d be l(10). Suppose -15*h + d*h = -3. Let u be h + (-3)\/(-6)*4. Solve 3 - 13 = -u*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 6:08 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 462855035 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 5*s + 13 = 18, 5*k - 15 = 10*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**2 + 17*y + 9. What is x(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + r**2 + 2)*(12 - 9 + 19) + r**2 + 3*r - 3*r)*(3 - 5 + 0) as d*r + z*r**2 + p and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 292 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/(-4)*(-1614)\/(-25555))\/((-1)\/(-2) + -3)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2b70 (base 12) to base 15\nAnswer: -17b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 36 = 2*t - 30, m + t - 18 = 0. Let v be 3*25\/m + -3. Solve 0 = 5*d - 2*b + 7*b - 40, -2*b = -v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1044267 and 25809.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -16539361 and -16539361 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/12 - 3\/9. Suppose 2*l + 0*l - 142 = p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 311*h + h**2 - 159*h - 152*h + 8842 - h**3.\nAnswer: -h**3 + h**2 + 8842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*m - 72 = 0. Let f = -13 + m. Solve 3 = -f*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**3 + 297397*i**2 - 379634*i.\nAnswer: 12*i + 594794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -44611 (base 9) to base 15\nAnswer: -8bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/10 and 93\/2847184.\nAnswer: 14235920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 - 118 + 7*i**3 + i + 3*i**3 - 2 - 4*i**3.\nAnswer: 6*i**3 + i - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 76b + 35?\nAnswer: 7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(3328)*1*-3)\/((-6*sqrt(64)*-1 + sqrt(64))*4))**2.\nAnswer: 468\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pqowwqpgpoqppqpqq. What is prob of picking 1 q and 1 p?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d - 15. Let u be k(19). Let b(m) = 13*m**2 - 17*m + 7. Let h(z) = 6*z**2 - 8*z + 3. Let i(r) = -3*b(r) + 7*h(r). Give i(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 10*d**2 - 26*d - 9. Let p be k(-6). Suppose p*i - 12*c + 12 = -14*c, 0 = -3*c - 9. Let j(f) = 3*f**2 + 2*f - 2. Calculate j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.058 * -802\nAnswer: -46.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -10, 33, 3, -35 in decreasing order.\nAnswer: 33, 3, 0, -5, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -31*w. Let b(d) be the first derivative of -d**5\/120 - d**3\/3 - 1. Let x(h) be the third derivative of b(h). Calculate x(o(l)).\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 1:59 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 580 and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24.2 + 19.4. Let c = k - -5.2. What is the nearest to -1\/3 in c, 1\/4, -26\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22785 is divided by 2522?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -2. Let w be 3\/(-1 - k - -1). Solve w*g - 3*x = 3, -2*x = g + g + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n\/n**(-2\/33)))\/(n*(n*n\/(n**(-8\/5)\/n)*n)\/n*n*n))\/((n\/(n*(n\/n**11)\/n*n))\/(n*n**(-12))))**(-8\/7) assuming n is positive.\nAnswer: n**(39152\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -176551, -702984, -1580365, -2808688, -4387947, -6318136?\n\"Answer: c**3 - 175480*c**2 - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v - 47. Let b be m(-23). Suppose -9 = -5*c - 4*z + 14, 0 = -4*c - 5*z + b. Solve -8 + 2 = c*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (12 - (-6 + 14))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 807817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6122612 (base 7) to base 9.\nAnswer: -1330265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -2801204 and -2801202 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/2379 and -28\/9.\nAnswer: 7137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = -n + 4*n - s, -n - 4*s = -51. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - 12*h + 249. Give t(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -7*g**3 + 26*g**2 - 5*g - 118. Let l(k) = 4*k**3 - 13*k**2 + 3*k + 59. Let h(x) = 5*l(x) + 3*n(x). What is the first derivative of h(z) wrt z?\nAnswer: -3*z**2 + 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*b**4 - 5*b**4 + 26318*b**3 - 7*b**2 - 3*b + 2 + 2*b - 26320*b**3 in the form j*b + h + d*b**3 + w*b**4 + o*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, -0.4, -3374?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4765619*p*y**2 + 5947*p*y - 43*p wrt y.\nAnswer: 9531238*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 526 + -4738\/9. Suppose 0 = 4*k + 4*m - 28, -k + 1 = -3*m + 14. Which is the biggest value?  (a) p  (b) 4.9  (c) 2\/5  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2*l + 26 = 0, -l = -1 + 2. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 702.000391 - 702. What is h rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/3)\/((-14)\/63). Let h(r) = -3*r - 4. Let z be h(c). Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*y - m, y - 5*m + 3*m = 4. Let h(l) = 2*l - 9. Let w(p) = p - 2. Let o(n) = -h(n) + 5*w(n). What is o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -1\/2, -220, 2, 0.4, 132\/5, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -849*h + 910*h - 1525 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(17) + (sqrt(17) - (3 + sqrt(17)*1)) + sqrt(17) + sqrt(85)\/(sqrt(5) - sqrt(45)))**2 + -1.\nAnswer: -9*sqrt(17) + 189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1159 or -1167?\nAnswer: -1167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**2 + 2. Let u be c(2). Is u > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -b**4\/4 - b**3\/6 - 3*b**2. Let t = -3 - 0. What is the remainder when 33 is divided by o(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -682225, -682181, -682063, -681835, -681461, -680905?\nAnswer: -680131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -5*s + 28690, 5*s = -2*o - 0*o + 11479. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 959 + -957. Solve 3*q - 2 = -d*i, 3*i + q = -2*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k + 11*k + 5*k + 5*k - 7*k + 0*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + s**2 + 7. Let p be w(0). Let q = -5 + p. Suppose 0 = -y + q*x + 7, -5*x = -1 + 11. Solve g = 3*u, 5*u - y = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4862 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -130032 + -421?\nAnswer: -130453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbvbbbcbc. What is prob of picking 1 c and 1 v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 2 - 12 - (-24 - (13 + -1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*y = 42*y + 12930. Suppose -y = -3*f + 5*g, 4*g = 5*f - 2514 + 359. What is the remainder when f is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7529 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -107?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1162 and 996?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -126963 take away 139?\nAnswer: -127102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -150757?  (a) 4  (b) -4  (c) 3  (d) -0.9  (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 6*o - 2. Let p be w(-2). Let u = 27 + p. Let m = -22 + 60. Calculate the remainder when m is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*m - 18410 = -16856 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 3 - (156\/(-15))\/(14\/(-35)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -13*s + 1414. Give v(106).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = -m - 2*s, -5*s = -2*m - 208 - 1. Let t = m + 94. Let c be 4\/14*(3 - t). Does c = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = n, f + 220*n - 33 = 216*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4550 (base 16) in base 8?\nAnswer: -42520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 252 (base 16) to base 11.\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19762.62912 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3360322643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 95*y + 20315. Let a be m(-213). Suppose -2*x + 1 = 5*b - 5, -2*b + 12 = 4*x. Sort x, 4, a in ascending order.\nAnswer: x, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 240949421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 911807975*s**2 - 131477802*s wrt s?\nAnswer: 1823615950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 75*y**2 - y - 7 + 3*y - 38*y**2 - 34*y**2. Let q be a(-3). Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12651, 12649, 12647, 12645?\n\"Answer: -2*z + 12653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 - -86. Calculate the remainder when x is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 27*y + 680. Let r be x(-25). Solve 3*o - 5 = r*j, 1 - 3 = 2*j + 5*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 8 + 12 + 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-2 - -3)) + -10 + (-36)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 6*m + 5. Let z = 3 + -7. Let k(u) = 11 + 500*u - 241*u - 246*u. Determine z*k(l) + 9*t(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(152))\/sqrt(8) + (1*sqrt(209))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -14883*t**3 + 2789*t + 3. Let g(u) = -2*u**3 + u - 1. Let c(b) = 3*g(b) + y(b). What is the second derivative of c(a) wrt a?\nAnswer: -89334*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6011 - 245*z - 2933 - 3077.\nAnswer: -245*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-64166)\/6)\/(14\/(-42)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 + 15*j**2 - j + 19. Let m be d(15). Solve -3*r = t + m, -3*r - 1 = -t - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6827, 6826, 6825?\n\"Answer: -w + 6828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -120 divided by 113\nAnswer: -120\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -18+-78953148339\nAnswer: -78953148357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 262.373 millennia?\nAnswer: 3148476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 44 + -26 + 14 - (0 + -6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20902947?\nAnswer: 3, 13, 535973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 70.2668 decades?\nAnswer: 0.702668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 4011.\nAnswer: 120330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2 - 4*d - 6. Let u be a(6). Suppose 23 = -j - 28. Let x = j + 79. What is the greatest common factor of x and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**2. Suppose 3*s - 2*k = 18, 10 = 4*s + 3*k - k. Let g(b) = b - 3*b - s*b + 5*b. Calculate r(g(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(72))\/(-6*sqrt(18)\/sqrt(2)) - (-1 + -1*((sqrt(216)\/(sqrt(24)\/sqrt(2)))\/sqrt(9))**2).\nAnswer: -4*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from popooppoppoopopp. What is prob of sequence oppo?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2. Let r(m) = 6301*m. Calculate w(r(p)).\nAnswer: -79405202*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -5 + sqrt(300)*-2)**2 + -4.\nAnswer: 360*sqrt(3) + 1277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2372406 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27322.11 rounded to the nearest 100?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/41274 and 63\/9896.\nAnswer: 204223752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20993 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -194711, -6\/13, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -16*b - 19 + b + 17. Let m(q) be the first derivative of -q**2\/2 + 42. What is m(y(p))?\nAnswer: 15*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 961082, -0.5, 22.5?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 6 + (32 - 31) + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -549816 by -1.\nAnswer: 549816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6204 = -49*c + 79791. List the prime factors of c.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3802*w**4 + 18926*w**3 + 8396*w**2 + 8748.\nAnswer: -91248*w + 113556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*t**4 - 7*t**4 - 17*t**2 + 31*t**2)*(-8 - 51 - 14).\nAnswer: -73*t**4 - 1022*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -403 - -409. Suppose 0 = 4*p - 5*x + 4, -j*p + 3*x - 5 = -p. Let u(z) = -24*z. Calculate u(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -15*r + 18. What is d(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -3, -5018104, -1, 3 in descending order.\nAnswer: 3, -1, -3, -9, -5018104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2 - 0. Let z be (-648)\/(-6)*(-1)\/f. What is the greatest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 21*b**5\/8 + 1767*b**4\/4 + 11445*b**3\/8 + 1239*b**2 + 495*b\/2 = 0.\nAnswer: -165, -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*-2 + -4 - (1 + -2*sqrt(171)))*-6)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34109.\nAnswer: 23, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/28 + 4\/14. Let k = 9.6 + -6.7. Let y = -3 + k. What is the closest to -1\/2 in 3\/7, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -0 - 4. Find f such that f**2 - f**d + 15*f**3 - 6*f**2 + f**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 93 + -102. What is the least common multiple of 39 and ((-45)\/((-15)\/3))\/(y\/(-3))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 10100 = d - 5*a, 4*a = 2*d - 4064. Solve 6*o - d = -2000 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -82 + 90. Solve 1 = -3*h - f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.3 - -4.9. Let l be 5\/1*(-6)\/15. What is the nearest to -0.1 in l, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -87376, -87392, -87408, -87424, -87440, -87456?\n\"Answer: -16*l - 87360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49408634 divided by 4491694.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 635 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 59 - 59*d + 65\/2*d**2. Find the first derivative of x(j) wrt j.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 11, h: 3}. What is prob of sequence qqh?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**4\/2 + 4248*y**3 + 16970*y**2 - 118872*y + 135872 = 0 for y.\nAnswer: -8492, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = -0*g - 12*g. Suppose -g*b + 3*b = -6376. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + x + 653457, 2*y + 4*x = 450200 + 856738. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 704590.8 minutes?\nAnswer: 42275448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 2*d + 3*m = 5, -5*d - 15 = -m. What is the remainder when (0 + -1)*d*10 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17 and 492643?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 79*d**2 - 14*d - 55. Is c(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*t + 5 - 5)*(-134 + 92 - 121)*(2 - 2 - 2) as g*t + x and give g.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - i)*((-3 + 1 + 0)*(-5*i + 3*i + 3*i) - 483*i - 244*i - 261*i) to f*i + w*i**2 + l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1685\/11 - -153. Let s = 2487 - 17407\/7. Sort f, s, -4 in increasing order.\nAnswer: -4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23769 (base 12) to base 4.\nAnswer: -23222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -434323 smaller than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((84030\/(-25))\/(-3))\/((-2)\/10). Let x be 0 + a - (2 - 4). Let k = -2619 - x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 10*v + 7. Determine o(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*j + 0 - 2\/7*j**2 - 4\/7*j**4 + 6\/7*j**3.\nAnswer: -2*j**2*(j - 1)*(2*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 170491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from ikiiiik.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-1 + sqrt(1053) + 4)**2 - (sqrt(1053) + -1*(-1 + sqrt(1053)))).\nAnswer: -6366 - 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 14. Suppose 6*n - 78 = j*n. Suppose -16 = -2*q - 2*i, 6*q - 4*q + 4*i = n. Calculate the lowest common multiple of 5 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0927 + 1.9073. What is the nearest to -4\/5 in 4\/7, y, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -81685444*c**2\/5 - 26625948*c\/5 - 2169729\/5.\nAnswer: -(9038*c + 1473)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*a**3*u**2 - 3*a**3*u - 2*a**3 + 3*a**2*u - 2383632*a*u**2 + 4*a*u - 2*u + 329 wrt u.\nAnswer: 32*a**3 - 4767264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {d: 2, u: 4, n: 1, a: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l. Let j(d) = 746*d**2 - 17*d. Determine j(i(g)).\nAnswer: 746*g**2 - 17*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2273.39 to the nearest 10.\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2. Let p(o) be the first derivative of -20*o**2 + 29. Determine q(p(g)).\nAnswer: 3200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 874*h**2 + 904*h**2 + 176 - 1779*h**2 - h**3. Let b = 1 - 1. Does 26 divide n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + i = 5*q + 2648, 3*q = 4*i + 7979. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12212 (base 4) to base 7\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**2 - 11*t - 27. Let v be b(-2). Calculate the highest common divisor of 96 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iwiwii. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011010010011111100111 (base 2) to base 10.\nAnswer: 2959335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1054395465 is divided by 6146.\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2 + 0*w**2 - 6*w + 8*w + w**2. What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 648.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33321 (base 4) in base 16?\nAnswer: 3f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l + 15. Let r be v(5). Is r < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 15) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (5 + 28) - -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/2247 and -35\/781.\nAnswer: 1754907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 42 + -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 1356  (b) 0.2  (c) 0  (d) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g + 1. Let c(w) = 5*w + 9. Suppose -17*m = -80*m - 63. Calculate m*c(t) + 4*i(t).\nAnswer: -t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.7 + 0. Let m = 0.28 + 0.32. Let s = g - m. Which is the closest to 4?  (a) 0.5  (b) 4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(117) + 2.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*y**2 - y**2 - 39*y**2)*(-9*y - 7*y + 3*y) + 2*y**2 - y**3 - 2*y**2.\nAnswer: 766*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(((n*n*n**(8\/7))\/n)\/n*n)\/n*n*n*n**(-19)\/n)\/(n*n\/(n\/((n*n**35)\/n))*n*(n\/(n\/(n*n**(-41))))\/n) assuming n is positive.\nAnswer: n**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*h**2 - 8*h**2 + 22*h - 11 - 20*h in the form n*h + j + k*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -217.9689 + -0.0311. Let g = -147.2 - w. Let a = g + -71. Put 0.3, 2\/5, 1\/2, a in decreasing order.\nAnswer: 1\/2, 2\/5, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*u + 292 - 292)*(-4*u - 14*u + 2*u).\nAnswer: -416*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) -3\/7  (b) 0.01  (c) -3\/4  (d) 4  (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1669263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.34 and 440.\nAnswer: 149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -1052*q - 789. Let f(k) = k + 1. Calculate -789*f(s) - m(s).\nAnswer: 263*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.4, -124, -0.5, 485, -0.1, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (2 + -2)) + 4 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 4, -2 in increasing order.\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -494422 or -494433?\nAnswer: -494422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -587612\/799 or -736?\nAnswer: -736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7675528 to the power of 1\/2, to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 6:01 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -8127.1 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22\/(-99)*3*1)\/((7 + -6)\/54).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2507485, 2507486, 2507487, 2507488?\n\"Answer: n + 2507484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 152\/10*75\/6*-1. Calculate the remainder when 96 is divided by 2 + w\/(-4) - 1\/2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -2*u**9\/63 + 11*u**5\/60 + 13*u**2. Find the third derivative of j(z) wrt z.\nAnswer: -1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhhyhyyyyyhh. Give prob of picking 1 y and 1 h.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4123.\nAnswer: 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(76) + 0 + sqrt(228)\/(2*sqrt(12)) - ((sqrt(76)\/sqrt(4) + -5)**2 + sqrt(304)*1)).\nAnswer: -49 + 17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1785 divided by 51?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 + 18 + (-137 - -129) - 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3205 divided by -110?\nAnswer: 641\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -6, 1704, -2, 0 in decreasing order.\nAnswer: 1704, 0, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 67772016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 2*i + 12077, -5*i - 7251 = 2*x + 804. Find the common denominator of (3\/(-60)*2)\/(84\/x) and 103\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2. Let r(i) be the first derivative of i**3\/3 + 43*i - 425. Give r(j(q)).\nAnswer: 4*q**4 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 2*z - 16 - 22, -2*k + 2*z = -16. Suppose k - 19 = -2*q. Solve 0 = 3*x + l + 4*l - 25, -q*x - 3*l + 31 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -6*u**3 - 72*u**2 - 29*u - 20. Is m(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - 7 - (-154 - -117)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 71*b**2 - 43*b - 247. What is the thousands digit of c(-71)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 707  (b) 0  (c) -942\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3127.363ml in litres?\nAnswer: 3.127363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-66)\/60)\/11)\/1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -r + 5*r - 2, r - 4*h = -10. Which is the second biggest value?  (a) r  (b) 0  (c) 2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -939 = r + 2*r. Let o = r + 440. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (0 + (0 + sqrt(68)*-2)**2 - (sqrt(68) + 3 + 3 + 2)**2).\nAnswer: -32*sqrt(17) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (1 - -2) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of 0*s + 0 - 7\/135*s**5 + 0*s**3 - 13\/540*s**6 - 1\/108*s**4 - 69*s**2. Factor m(c).\nAnswer: -2*c*(c + 1)*(13*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 104780211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1318*2*(-7)\/28. Let k = 681 + l. Solve 0 = 8*u + k + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1614 times 1697?\nAnswer: 2738958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-1\/11)\/c)\/(c*c\/(((c\/((c*c\/c**(-5)*c)\/c))\/c*c)\/c))*(c**(-4)\/c)**(3\/13))**(-2\/5) assuming c is positive.\nAnswer: c**(586\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - 3*z + z)*(-4*z + z + z) + 2*z**2 + 2 - 2 - 43*z**2 + 14*z**2 - 12*z**2 as y*z + d*z**2 + g and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**6\/12 + o**5\/2 - 3*o**4\/8 - 3*o**3\/2 + 235. Factor r(u).\nAnswer: -u**2*(u - 3)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -197 and -197 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-6)*-228117 - 8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100111010 + -1100111100110101010?\nAnswer: -1101000000011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t**2. Let g(m) = -14*m**2 + 6*m. Let j(f) = 27*f**2 - 10*f. Let l(y) = 5*g(y) + 3*j(y). What is q(l(p))?\nAnswer: 242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3 + 66*f**2 - 2396*f + 10080.\nAnswer: 2*(f - 18)*(f - 5)*(f + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.1, 0.3, -28364?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 23*s + 18. Let q be j(-20). Let t be 8\/(-28) + (-138)\/q. Solve 2*h + 4*g = 16, -5*h + t*g = -3 + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + 1 + (sqrt(17) + -1)**2.\nAnswer: -2*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -14\/5, -11, 1\/2 in descending order.\nAnswer: 1\/2, 0.1, -14\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 0*s**2 + 0*s**3 - 1\/10*s**5 + 0 - 1\/12*s**4 + 3*s. Find the third derivative of l(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-1\/4))**(-3\/38))**(6\/7)\/((z**6*z*z**3\/z)\/(z*z*z\/(z**(-3\/4)*z*z)*z**1*z)) assuming z is positive.\nAnswer: z**(-1419\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 637051\/209 + 2 + 138\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -14, 0, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -34*r + 28*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j*n*y + 171*j*o*y - 3*j*y + 3*j + 2*n*o*y + 5*n*o - 237*n*y + 2*o wrt j.\nAnswer: n*y + 171*o*y - 3*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -1. Let a = 0 + d. Let r = -13\/5 + 2. What is the second smallest value in r, a, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of q**5\/60 - q**4\/12 - q**3\/2 + 5*q**2. Let f be z(2). Is (-204)\/f + 1 + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1 + (-2 - 2 + 5)*(-1 - 4 + 4) - 1 + 1 + 3)*(6*v**2 - 22*v**2 + 12*v**2) + 2*v - 2*v + 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2580*d - 3268*d - 461*d - 1469*d + 285*d.\nAnswer: -7493*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + 0.24. Let g = k + -4.04. Let x = -3 + 3. Is x less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/20)\/(-1)*-1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3, 1\/59, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.272 + -0.55. Let t = u - 0.322. Which is the fourth smallest value?  (a) 0.5  (b) t  (c) -2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*a + 1 + 46*a + 50*a - 131*a + 30*a.\nAnswer: 35*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -14. Let v = o + 1. Suppose -2 - 24 = -4*j + 5*c, 2*j - v*c - 18 = 0. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -8, -3, 569, -7 in decreasing order.\nAnswer: 569, 87, -3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiri when four letters picked without replacement from irrririiririir.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 + 32*s - 63\/2.\nAnswer: -(s - 63)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4823.\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -113260 (base 7) to base 8.\nAnswer: -47631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9448, -18901, -28346, -37777, -47188?\n\"Answer: g**3 - 2*g**2 - 9454*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*w + 3*w = -7*w - 340 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2259\/71 - 2213417\/66740. Let t = -24\/235 + v. Calculate the common denominator of -49\/2 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + -1 + (-3)\/(-1). Sort z, 5, 10 in decreasing order.\nAnswer: 10, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*k**2 - 6*k**2 - 7*k**2 - 7*k + 7*k.\nAnswer: 38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1141536737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 187850 and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-4)*(-70)\/15. Suppose -3*j + o = 1. Let s = j - -5. What is the remainder when 11 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*f - 0*f. Let x be 13\/(-6) + (-4)\/f. Let n = x + 9\/4. Is n bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.2611 and -0.3.\nAnswer: -1.5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -44*n - 21. Let o be g(4). Let m = 257 + o. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5, -0.07, 0.11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -167 - -179. Calculate the remainder when 117 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -25349, -25357, -25369, -25385, -25405, -25429?\n\"Answer: -2*m**2 - 2*m - 25345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 1001011111101101001000010?\nAnswer: 1001011111101101001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -0.5, -3, -0.73, 2\/11, -71, -130?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 32 = d. Suppose -c + d = -0*c. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6069 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 1469 and -296468.\nAnswer: -294999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0816 + -1.3864. Let b = q + 1.82. Round b to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 2089\/2 - 3083\/3. Find the common denominator of (12\/102 + 2157\/306)\/2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of g**4\/12 - 2*g**3\/3 + g**2\/2 - 3*g + 6. Let d(l) = l - 1. Give -4*d(r) - s(r).\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llllllplllll. Give prob of sequence lll.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 4:54 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00824046639 rounded to seven dps?\nAnswer: -0.0082405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3159)\/(-324)*12\/(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2148205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2064  (b) -1\/49  (c) -2\/21  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1003, -1022, -1037, -1048?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 555 = -2*z - 742, 3*z = -5*w + 2149. Let x = 434 - w. Suppose 3\/5*o**x + 33\/5*o - 21\/5*o**2 - 3 = 0. What is o?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - z = -4*t + 196, 5*z = 5*t - 245. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1663 + -4991\/3. Suppose -200 = -5*o - 4*x + 8*x, 3*x = 0. What is the third smallest value in -0.4, 2\/11, b, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6019746 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a second in milliseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/168 and -95\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -q - 5 + 3*q + 13 in the form y + h*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14046, 52818, 117434, 207894, 324198, 466346?\n\"Answer: 12922*d**2 + 6*d + 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 971 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 6*h + 6*h - 5*h - 2*h. Let v be (-2 + 7)*(1 - 2). Let t(u) = u + 1. Let d(j) = -3*j - 5. Let g(c) = v*t(c) - d(c). Give w(g(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - x**2 + x**2 + 2*x**2 + (619*x + 202*x - 69*x)*(2*x - 4 + 4) to i*x**2 + w + p*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -36866, -73733, -110600, -147467?\n\"Answer: -36867*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60.1 + -8.52.\nAnswer: 51.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 14 = -4*w + 3*o, 2*o + 13 = 5*w. Is 2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17685101420 + -0.5\nAnswer: 17685101419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -582, -592, -576, -522, -418, -252?\n\"Answer: 2*s**3 + s**2 - 27*s - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/10, -112, -20\/33?\nAnswer: -20\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 118, -12798 in increasing order.\nAnswer: -12798, -2, -1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 98165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 8. Let s = -10 + 14. Let f = s + -4. Solve f = p*o + 2*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 15*j + 38. Suppose -5*w = -w - 24. Let d be v(w). What is the units digit of d\/3*90\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i**3 - 14940*i**2 - 370896*i + 385840 = 0. What is i?\nAnswer: -3710, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m. Suppose 0*j - 2*j + 67 = 3*f, 36 = j + f. Suppose 2*c - 37 + j = 0. Let u be (c\/((-16)\/(-2)))\/((-8)\/32). Determine a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 251465.5 kilograms?\nAnswer: 251465500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 28 = 3*c - 37, 12 = 3*c. Sort -5, 2, 4, q.\nAnswer: -5, 2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.09523173773 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**3 - 119*k**2 + 39*k + 243. Give x(-30).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 2*j - 5*j. Suppose -21*w + 16 = -17*w. Calculate the lowest common multiple of w and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4*r = 20, -3*j + 8 = -j + r. Let c(l) = -l - 8. Let d(a) = -14. Let p = -115 + 120. Let f(z) = p*c(z) - 3*d(z). Determine f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 8482, 9698, 10910, 12118, 13322, 14522, 15718?\n\"Answer: -2*f**2 + 1222*f + 7262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.2 + 2. Let f = m + 0.1. Let g = 199\/7 + -28. Which is the second smallest value?  (a) -1  (b) g  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j + 79. Let y be t(24). Let q(f) = 2*f**2 + 0*f - f**2 - 2*f + 4*f**2 - 7. What is the units digit of q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 344 and 72.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 74926625611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 153 = -150, -2*l = -z - 5. Let t be (-45)\/12 + (-2)\/8. Which is the second biggest value?  (a) l  (b) t  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/57 and -121\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*q + 50*q = -78*q + 2250 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (198 + 1539*s + 132 - 1538*s)*(3*s + 3*s - 5*s + (s + 4 - 4)*(-3 - 2 + 6)).\nAnswer: 2*s**2 + 660*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 140 in -6, 4, -2\/13, -14, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/992 and 99\/11780?\nAnswer: 94240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 times 46?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8*3\/6*3\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 914.1 + -982. Let w = k + 74. Let f = w - 6. Which is the second biggest value?  (a) 0.4  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 18*a**2 - 10*a + 80. Let y(s) = 10*s**2 - 5*s + 44. Determine 4*q(j) - 7*y(j).\nAnswer: 2*j**2 - 5*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -372 + 555. List the prime factors of b.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 25*s - 234. Let h be z(9). Let k be 3\/(h\/(-27)*(2 - 1)). Solve -3*i = 4*c + 15, 0 = -2*i + 3*c - k - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**8*y)**(-1\/27)\/((y**(-2\/5)\/y)\/y)**(5\/6) assuming y is positive.\nAnswer: y**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2 - (-119)\/(-2). Let o = -33 - s. Let x be 18\/(-6)*13\/(-1). What is the highest common divisor of o and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/55 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10538 + -10540. What is the smallest value in 1678, w, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**5\/10 + 1135*t**2 - 1. Let r(m) = 98*m. What is r(j(o))?\nAnswer: 588*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19909050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-10)\/(q\/(((((q\/(q\/q**(2\/19)))\/q*q)\/q)\/q)\/q))*((q\/(q*q**5*q))\/q)\/q*q*q**(-2\/15)*q assuming q is positive.\nAnswer: q**(-5708\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011011 (base 2) to base 7.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 7 = m, 3*m - 2*c = -6*c + 19. Let n = 19 - 12. What is the remainder when m is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**3 + 24*q**3 - 8*q**3 - 8*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9818163*o**4 - 8942468*o?\nAnswer: 117817956*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yggyyyygyyyyyyggyyyy. Give prob of picking 3 y and 1 g.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-17)\/((-51)\/2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -2\/9  (c) 1\/194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggngggggggnggggngg. What is prob of sequence ng?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 7*l**2 + 2 - 72396*l**3 - 5*l + 72397*l**3 + 3. Let m(t) = -t**3 - 6*t**2 + 4*t - 4. Give 5*m(h) + 4*s(h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3 - 1, -4*q + 3*c + 398 = 0. Suppose 201 = 3*f + 5*z - 91, -f + q = 2*z. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in -11, -4, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 - 3*n**2 + 3*n**2)*(5*n**2 - 3*n**2 - 3*n**2)*(14 - 525 + 166).\nAnswer: -345*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 0*g + 15*g**2 + g - g**3 + 0*g - 16. Let l be n(15). Let m(h) = 4099999*h - 1. Let i be m(l). What is i rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-392368)\/2148*6\/(-8) - 38?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*r + 121*r - 3*q - 8177 = 0, -4*r = 2*q - 6546. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 + 739*w + 3716. Let n be y(-5). Put -6, n, -1, 0.5 in increasing order.\nAnswer: -6, n, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 38\/4 + (-12)\/8. Suppose -v*u + 32 = -7*u. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (82*18\/(-48))\/(9\/(-24)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 765 + -764.999389. Round m to five decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c + 11. Let f be q(-10). What is the tens digit of (3 - 2)\/f*25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**5\/10 + t**4\/24 + t**3\/3 + 1075*t**2 - 1. Calculate v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**3 - 115*r**2 + 168*r + 39. Let x be n(56). Solve -49*j = -x*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from auvuaoy. Give prob of picking 1 o and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 3 = 9. Is 8 a factor of 4*(s + 7)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 72569.754 to the nearest 10.\nAnswer: 72570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -234516 - -13?\nAnswer: -234503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 623 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -c**4\/12 + c**3\/6 + 77*c**2\/2 + 12*c. Is i(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 2:55 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 PM and 8:18 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i + 65 = -15. Let p be (-1258)\/i + 8\/(-5) + 2. What is the highest common divisor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**3 - 2*h**3 - h**3)*(-7*h + 5 + 7*h + 2*h**2).\nAnswer: 2*h**5 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (-5 - 5) + -10 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 300348093, 300348089, 300348083, 300348075, 300348065?\n\"Answer: -d**2 - d + 300348095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10906 is divided by 234.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uduudddd. What is prob of sequence du?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 4  (b) -3\/2  (c) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/27 + (-185)\/225)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 195 and 13434915?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 85\/12*m**4 + 735\/2*m**2 + 1\/4*m**5 + 455\/6*m**3 + 5 + 24*m. Factor r(c).\nAnswer: 5*(c + 3)*(c + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.046 less than -39227.03397?\nAnswer: -39226.98797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -167 (base 11) to base 13\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -3489, 248 in ascending order.\nAnswer: -3489, 18, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*i + 73209 = 0, 0 = -5*t + 17*i - 16*i + 365961. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.309 - 0.209. Let l be ((-2)\/(-4))\/((-8)\/(2016\/(-98))). Which is the biggest value?  (a) x  (b) 4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - 31*a**2 - a - 67. Let v be n(31). Let q = v + 70. Is -28 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppoppopppp. Give prob of sequence op.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7211527?\nAnswer: 7211527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2368, 0.4, 2, 0.0519?\nAnswer: 2368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*k**2 + 275*k**2 - 72*k**2 - 39*k**2 - 73*k**2.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 - l**2 + 3*l + 1. What is a(-3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) + 0 + sqrt(343) - sqrt(343) - sqrt(343)) + sqrt(343) + sqrt(343) + -4 + 4.\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2045419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 9*w - 16. Let i be n(-7). Let u be (i\/(-4))\/((-9)\/(-2556)). What is the second derivative of -14*l**4 - 143*l - u*l + 287*l wrt l?\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -73, -76, -79?\n\"Answer: -3*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*u + 39*u = 228. Let z(r) = -9*r - 177. Determine z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 531477466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 7:35 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*b**2 + 4*b**2 + 12*b**2 + 46*b**2 + b + 68*b**2 to t*b + u*b**2 + n and give u.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*l + 0*l - 5*l)*(l + 2*l - 4*l) + (-2*l**2 + 4*l**2 - 4*l**2)*(-13 - 3 + 3) in the form o*l + y + p*l**2 and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -122 - -132. Is (114 - (-5 + c)) + -1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 - (-5 + 1) - (-38 + 19 - -20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5489609.\nAnswer: 89, 61681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11014 + 11012. What is the nearest to b in -0.2, 3, 0, 30?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 32, 0, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1888 - 1885. What is the highest common factor of 501 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0013201 rounded to 5 dps?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - x + 3 = 0, -2*x = -2*n + 5 + 1. Let g(t) = 3*t - 3*t**n + 4*t**2 + 1 + 3*t**2. Calculate the lowest common multiple of g(-2) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*k**2*q*x**2 + 11*k**2*q*x + 42*k**2 - 3*k*x**2 + q*x**2 - q*x wrt k.\nAnswer: 4*q*x**2 + 22*q*x + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xpr when three letters picked without replacement from pxxrrrxxpxpzxp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 100764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -9*u - 2. Let p(a) = -17*a - 4. What is -13*o(v) + 6*p(v)?\nAnswer: 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-205*i + 7*i - 782*i)*(-5 + 2 + 2)*(2 + 3*i**2 - 2).\nAnswer: 2940*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 177*k - 175*k = -0*d + 116, -2*d + 46 = -2*k for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 - -25. Let p = 19 + w. Solve 0 = -3*k + 2*k + p*c - 11, 4*c = -2*k + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = 5*w + 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(539) + sqrt(539) + 0 + (sqrt(539) - (-2 + sqrt(539))).\nAnswer: 2 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of -g**7\/70 - 11*g**6\/360 - 6*g**3 + 41. Let h(d) be the third derivative of b(d). Find the third derivative of h(f) wrt f.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -k - 20, 4*k - 13 = 3*o - 48 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8966 is divided by 1767.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -13\/3*p**3 + 0 - 13*p**2 - 1\/12*p**4 - 26*p. What are the prime factors of w(-12)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 41 = 3*u, 0 = 2*u - 5*r + 3*r + 24. Let d = u + 9. Suppose -4*z = -4*l, 0 = z + l + l. Solve z = w + d*n + n + 10, 5*n + 14 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -13*p**2 + 2*p - 2. Let d(n) = -39*n**2 + 7*n - 10. What is 2*d(b) - 7*s(b)?\nAnswer: 13*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -u - 2*u. Let l = 12 - 6. Let k = 8 - l. Calculate the highest common divisor of u and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168170071.\nAnswer: 31, 131, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65 (base 14) to base 7.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v + 2. Let i be s(-3). Is ((-58)\/4)\/(i\/98) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 185 and 3256?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -86.05268 rounded to two decimal places?\nAnswer: -86.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 21  (b) 1  (c) 0.4  (d) 4.62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m - 2. Suppose -2*b + 7 = -3. Let z be o(b). Calculate the greatest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 2*x + 6, 4*x - a + 18 = 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 4*t + 5*t. Suppose 4 = 2*g - t. What is the remainder when 86 is divided by 15*8\/12 + (-4)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-5*(sqrt(605) + 1 + sqrt(605)) - sqrt(605))**2)*4.\nAnswer: 4840*sqrt(5) + 292928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -6\/7, -1\/3, 4, 1, 1\/109 in increasing order.\nAnswer: -6\/7, -1\/3, 1\/109, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + sqrt(75) + sqrt(75) + 0 + sqrt(75) + 3)*-3 + -4)**2*-4 + -4.\nAnswer: -43880 - 6240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(15)\/(sqrt(15)\/sqrt(3)) + 1) - (sqrt(36)\/(sqrt(18)\/sqrt(3)))\/(-3*sqrt(6)\/sqrt(3)).\nAnswer: 2 + 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, -2, 15\/14, 0.5 in decreasing order.\nAnswer: 15\/14, 0.5, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-24))\/((-1)\/8). Let m = 0 + 1. Let g = 0.11 - 5.11. Which is the third biggest value?  (a) m  (b) g  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*d**4 - 3*d**2*r + 3746*d**2 + 14*d*r - 4*d - 166*r wrt d?\nAnswer: 36*d**2 - 6*r + 7492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -3. Let t be (-2)\/f*2 - 0. Let n = t - 13\/11. Put -4\/3, -0.1, n in descending order.\nAnswer: -0.1, n, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1137 divide 19163622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.254 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65 - -289. What are the prime factors of i?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - 6\/(-6))\/(3\/(-1223)). Is d + -9*(-1)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1239*l**2 + 2570*l - 1255*l**2 - 1272*l - 1297*l.\nAnswer: -2494*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 946 divide 10462760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/2887 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -951, -2348, -4197, -6504, -9275, -12516, -16233?\nAnswer: -20432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(18\/33)*-4. Let u = g - -49. Suppose 5*l = f + 121, 0*l - 4*f = -2*l + 34. Calculate the greatest common factor of u and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4386822.8 rounded to the nearest ten thousand?\nAnswer: -4390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 27, 78, 165, 294, 471, 702?\n\"Answer: g**3 + 12*g**2 + 8*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*r - 26 + 17, 3*r + f - 14 = 0. Suppose 3*p - 5 = 63*h - 68*h, 5 = -r*p + 5*h. Solve m - 5*q - 14 = 0, -4*m - 2*q + q + 14 = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27a (base 14) to base 16.\nAnswer: 1f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/32)\/((-3)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -6. Suppose h*t = 10*t + 3. Let z be t\/10*270\/36. Does z = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1728)\/(-252))\/12)\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3953687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -2521\nAnswer: -3\/2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 27*s**2 - 19*s + 18. Calculate the remainder when q(1) is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(2\/21))*a)\/a*a)\/a*a**(2\/13)*(a**(-4))**(1\/46) assuming a is positive.\nAnswer: a**(1018\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 + 144*c.\nAnswer: c*(c + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence um when two letters picked without replacement from {k: 1, f: 1, m: 1, h: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 62*d**2 + 7*d + 148. What is i(-6)?\nAnswer: 2338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -67406*y**2 + 134945*y**2 - 67435*y**2. Let h(w) = -21*w. Calculate h(d(l)).\nAnswer: -2184*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/7*i**3 + 0*i - 1\/7*i**5 + 5\/7*i**4 + 4\/7*i**2 + 0.\nAnswer: -i**2*(i - 2)**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = w - 2*c, -w - 2*c - 62 = -4*w. Suppose 5*t - w = 7. Let g(s) = -8*s**2 + 7. Let n(r) = r**2 - 1. Determine t*n(o) + g(o).\nAnswer: -3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 786948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 2790976?\nAnswer: 2790976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 616871, 616652, 616437, 616232, 616043, 615876?\n\"Answer: s**3 - 4*s**2 - 214*s + 617088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3376 and 1264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1072786, -2145558, -3218312, -4291048, -5363766?\nAnswer: -6436466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-6)*(-4)\/5. Let j be (-63)\/(-120) + (-4)\/10. Which is the biggest value?  (a) j  (b) g  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2322 = i + 34691, 0 = -p + 2*i + 18511. What are the prime factors of p?\nAnswer: 5, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 502, 1841, 4166, 7555, 12086, 17837?\n\"Answer: 13*g**3 + 415*g**2 + 3*g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 23272\nAnswer: 116360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 44 = -5*x + b, 0 = -3*x - b + 20. Let w be ((-44)\/(-3))\/(2\/12). Calculate the highest common factor of w and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 42 - 0. Let x = 4808 + -4783. Let t = x - m. What is the highest common divisor of 99 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b + 2. Suppose -45 + 17 = -4*m. Let x(d) = -1 - 2*d - 2 + 5. Calculate m*g(f) - 6*x(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 58537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 + -6 - (244 - 262)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70\/40*(2\/28)\/(2\/3).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jomjxmjfjxjumxfjfj. Give prob of sequence mjo.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -315 in 2.33, -135, -1\/7, 0.2?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/16 and (-22230)\/(-23460) - 4\/(-34).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m + 22. Let k = 43 + -43. Let y be n(k). What is the third derivative of y*o**2 - o**3 - 5*o**3 - 5*o**3 wrt o?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-15)*(-486)\/6237.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*c + 72*c + 3*z = 26, 2*z - 9 = -c. Let w(j) = -2*j**3 - j**2 - 3*j - 2. Let y(k) = 3*k**3 + 2*k + 3. Let b(f) = -4*w(f) - 3*y(f). Determine b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 11*d - 9. Let s be n(10). Which is bigger: s or -2\/41?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 49*x + 8 - 5.\nAnswer: 49*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 59240095729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 1346946 - 3333054. Round r to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2248 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*r**5\/9 - 1922*r**4\/3 - 3442*r**3\/3 - 3434*r**2\/9 + 382*r\/3 = 0. What is r?\nAnswer: -573\/2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99676010.\nAnswer: 2, 5, 7, 1423943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 1. Let r(b) = -b**3 + 9*b**2 + 36*b + 4. Let p be r(12). What is the closest to v in p, -5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 566407, 1132814, 1699221, 2265628, 2832035, 3398442?\n\"Answer: 566407*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 24.24316 and -0.3.\nAnswer: -7.272948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 58801102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 39*k + 169. Give p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, q: 10}. What is prob of sequence gq?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 9*r**2 - 21*r + 16. Let w(u) = -2*u**2 + 4*u - 3. Determine 11*w(g) + 2*x(g).\nAnswer: -4*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.15 + -33.65. Let j = y - -33. Which is the fourth smallest value?  (a) -4  (b) 1.2  (c) j  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 11*v**3\/3 - 5*v**2\/2 - 2*v. Suppose 9 = 3*t, 3*u - t = -u + 13. Is s(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-337 + 338 - (5 + 0 + -5)) + 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 68924 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {r: 4, i: 1, v: 7, p: 3, j: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 + -1278.\nAnswer: -1277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55613287?\nAnswer: 23, 31, 77999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 18\/285109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/5  (b) 0.09  (c) -4  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 865650048 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) 1\/6  (c) 8\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 47 - 131 - 51*n + 54 - 93 + 3*n. What are the prime factors of t(-11)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99 + 1 + 11 + 0 + -3 + (396 - 404)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 401824349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10723, 10733, 10739, 10741, 10739, 10733?\nAnswer: 10723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -246*r + 244*r + 8, -4*r + 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 1:38 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 3106197\/467 and 6651 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3\/7 + 33*c**2\/7 - 146*c\/7 + 24.\nAnswer: -(c - 28)*(c - 3)*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 (base 13) in base 4?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*3 - sqrt(117))*-2)\/(-2*sqrt(54)\/sqrt(6)) - (((sqrt(104) - 3*sqrt(104)*-6) + sqrt(104) - sqrt(104)) + sqrt(104))\/(sqrt(800)*3 + sqrt(8)).\nAnswer: 42*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*l = -47*l - 89300. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*g + 44*g - 3*u = 282, -2*g - 2*u = -612. What is the highest common factor of 195 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.23 + 9.77. Let f = t - 9.9. Let l = -2.97 - 0.03. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 24*n - 1110. What is t(46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d + d - d)*(-1 + d + 1)*(-2 + 4 + 1)*(5 + 2 - 4).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f - 9 = -0. Let n be (-4 - f) + 611\/195. Which is the closest to 0?  (a) 2\/3  (b) 8  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(19)*-2 - (sqrt(19) + 0 + 1)) + -2 - -4*(sqrt(19) + 2*(sqrt(171) + sqrt(19))**2)*-3.\nAnswer: -7299 - 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -209348362, -209348364, -209348368, -209348374?\n\"Answer: -w**2 + w - 209348362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*t + 5487 = 51*t + 41*t. What is the remainder when 121 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001211210 + -21002002?\nAnswer: -1022220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*q**4*u + 9078*q**4 + q**2*u + 69764*u wrt q?\nAnswer: 20*q**3*u + 36312*q**3 + 2*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2208*k = -1875*k - 33300 for k.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 151327*w**4 - 45380 wrt w.\nAnswer: 605308*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 879 = 127*h, 4*h = -4*r + 3419 - 3371 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*w**3 + 22*w**3 - 31*w**2 - 9*w**3)*(-4*w**2 - 9 + 9) + w**3 - w**4 - w**3 + w**5.\nAnswer: -3*w**5 + 123*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -3*m**5\/5 - 3*m**4 - 3*m**3 - m**2 - 50. What is the third derivative of d(j) wrt j?\nAnswer: -72*j - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of 0*h**2 + 1\/2*h**3 + 0 + 3*h. Let m(y) = y**2. Give m(q(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -3*p - 1, -2*g + p + p = -6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 30\/80 - 2\/((-32)\/90). Is 42381\/a - (-3)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 31*h + 22. What is n(30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8406777 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -76 in -2\/15, -2, 5, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1349\/53 - 5\/106. Calculate the common denominator of 41\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 6*q**2 + 2*q - 1. Give o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1706 a factor of 293676562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -108806, -108805, -108804, -108803, -108802, -108801?\n\"Answer: h - 108807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 + -28. Suppose 75 = -6*j + m*j. Solve -3*h + 8*h - j = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 2*y + 4*q + 9, -2*y - 3*q + 29 = 0. Suppose 3*r = -y + 22. Let n(j) = 3 + 5*j + 0 - 4. Let h(v) = -4*v. What is r*n(k) + 4*h(k)?\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*c, 3*c - 246 = -4*w + c. Suppose -64 = -2*y - 3*s, -3*s + w = 2*y + s. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i**3 + 17*i**2 + 12*i - 14. Determine k(10).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - 9 + 9)*(-20 + 8 - 131) to the form f + t*a and give t.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - q = 8. Suppose 3*v = -3*x + 15, -q*x + 5 = -3*x - 4*v. Suppose -53 = -x*g - 3. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - d + 3*d**2)*(-2*d + d + 4*d) + (-3 + 3 - d)*(0*d**2 + 0*d**2 + d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*a**2 + 2*a**2 + 3*a + 60*a**2 + 5*a**2 - a - 2*a**2.\nAnswer: -38*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 plus -8111073?\nAnswer: -8111072.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 + 696*o**2 - 30276*o.\nAnswer: -4*o*(o - 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 5*t - 45. Let q be 18\/10 + (-3)\/t. Let b = -152 - -153. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 10 = 4*b, 0 = -s + 5*b - 8 - 15. Let q = s - 0. What is the units digit of (3 - 0) + (0 - q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/13 + 18632*g**2\/13 - 1615360*g + 430809600.\nAnswer: 2*(g - 520)**2*(g + 10356)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 4 + (2 + sqrt(11))*-5.\nAnswer: -5*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*z - 131 = -339 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 7*i**3 - 5*i + 1. Let n be x(1). Let j(z) = 34*z - 3. Let k(p) = 1938*p - 170. Calculate n*k(f) - 170*j(f).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58217, -232953, -524179, -931895?\nAnswer: -1456101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3082\/(-268)*1\/(-46)*(-10)\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (3 + (-25 - -10) + 9)*(1 - 12) and (6*2)\/((-10)\/(-25))?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.29 + -1.6. Let s = w - -0.01. Let m = -0.1 + -0.9. Which is the third biggest value?  (a) s  (b) m  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2402817\/43100 + -2\/10775. Is -57 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, 3, 1\/28 in decreasing order.\nAnswer: 3, 1\/28, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -39 + 92b91?\nAnswer: 92b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-60)*10)\/((-2)\/((-72)\/20))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.075 in -57, -3\/2, -1\/3, 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 616 is divided by 4\/(-40) - (-36)\/(-40) - (1 - 31).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3728 divided by 47?\nAnswer: 3728\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -516 plus -13672170?\nAnswer: -13672686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 138289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 8:58 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddduuddddddd. What is prob of sequence duud?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2076, 4161, 6244, 8313, 10356, 12361?\n\"Answer: -2*f**3 + 11*f**2 + 2066*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 0, -1\/58, 5, 1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000588447 to 7 decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 474 and 71258.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58 - 58. Let l be (4 + -5)*n\/(-1 + 3). Solve u + u = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*x + x. Let c(d) = -3*d**2 + 4*d**x - 3*d**2. Let s(z) be the first derivative of -z**2 + 4. Calculate s(c(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 289891239 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000171253732 rounded to 6 decimal places?\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 6:58 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.2  (b) 3\/2  (c) -0.2  (d) -1  (e) 5  (f) 321\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v**(-15)*v*v)\/v*v)**(-2\/9) assuming v is positive.\nAnswer: v**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2092\/7*f**3 - 876\/7*f + 648\/7 - 3656\/7*f**2 + 40\/7*f**4 = 0. What is f?\nAnswer: -1, 3\/10, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8286 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212 = -28*f - 96. Put 0, 21, f in decreasing order.\nAnswer: 21, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19\/3 in 9.4, 0.3, 177.4?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*w + 1423 = 3003 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hr when two letters picked without replacement from rrhphhh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 7*s - 6. Let o be -9 - (-3 + -3)\/2. Let h be f(o). Solve -3*r + 3*p - 30 = h, -2*r - 16 - 14 = -4*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*f + 20, -4*y + 4*f - 5 = -37. Let i(v) = v**3 - 6*v**2 + 9*v - 54. Let d be i(y). Solve q - 5*q - 4*l - 4 = d, -1 = 5*q + 3*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 729 is divided by 228.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 417*m - 256. What is the remainder when b(1) is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 21586?\nAnswer: 237446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-117 + 6)*175\/(-75) is divided by 252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/216 and -35\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 22120 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1218417749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -275267877 divided by -2\nAnswer: 275267877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**3 - u**3 + u**3 + (25*u**3 - 2*u**3 + 12*u**3)*(6 - 14 + 6) + 3*u - u**3 - 3*u.\nAnswer: -73*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**4 - 1557424*n**3 + 303196189454*n**2 + 14016816*n - 2728765705248 = 0.\nAnswer: -3, 3, 389356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223 + 2?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2001?\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16914985.021099258 + 16914985. Let i = 0.0211 + y. Round i to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 - -0.36. Let g = 0.14 + w. Put 1\/7, g, 3\/5 in increasing order.\nAnswer: 1\/7, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -123*(6 + ((-996)\/54 - -13))*(-6)\/(-5)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h + 10. Let p(z) = 6*z - 85. Suppose 0 = x + 4*w - 25, -x = 4*x + w - 68. Let y be p(x). Calculate v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*y - 3*y - y)*(-1 + 2 - 2 - 2 - 1 + 0 - 2 + 5 - 1 + (0 - 2 + 1)*(2 + 1 - 5) - 97 + 172 - 175) to the form a + m*y and give m.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 2866016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2599454 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: Is 43097262 smaller than 43097261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 1\/4, 30, 336, 0.5, 0.09, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of -31*k**8\/21 + k**5\/15 - 95*k**3\/3 - 1422*k**2. What is the third derivative of w(x) wrt x?\nAnswer: -29760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*t + 81 + t**2 - t**2 + 3*t - 19*t**3.\nAnswer: -19*t**3 - 36*t + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -4*u**4 - 395732*u**3 + 22569952*u**2 + 22965680*u = 0.\nAnswer: -98990, -1, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.8103 less than 1579102?\nAnswer: 1579022.1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -4*m**7\/7 - 2*m**6\/3 + 8*m**3\/3 - 37*m**2\/2 - 2838. What is the third derivative of q(h) wrt h?\nAnswer: -480*h**3 - 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, i: 3, l: 10, w: 2}. Give prob of picking 1 w and 1 l.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-81)\/(-18) + (4 - (-6 - -14)). What is the third smallest value in -1859, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-1) - (4752\/192 + -26)\/((-3)\/24)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - f + f - 3*f**2 - 221 - 6*f**2 + 144.\nAnswer: -9*f**2 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**2. Suppose -1 + 25 = 3*w. Let r(x) = 4 + 5*x + 4 - w. Give r(t(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 518081  (b) 4  (c) 0  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1820954296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 446 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**2\/2 + 4004739*s\/2 + 28033467 = 0. Calculate s.\nAnswer: -14, 1334927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/3))**(-1\/2)*d**7\/(d**(-5)*d) assuming d is positive.\nAnswer: d**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -3. Which is smaller: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/((sqrt(66) + sqrt(66) + sqrt(66)*2 + sqrt(66))\/sqrt(6) - sqrt(11)) + 4)**2.\nAnswer: 2*sqrt(7) + 263\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -43, 0, -1\/4 in increasing order.\nAnswer: -43, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -927518 (base 10) to base 12\nAnswer: -388912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**2 - 3*h**4 - 4*h**2 + (-2*h + 4*h - h)*(-3*h**3 + 0*h**3 + 4*h**3))*(-2 + 8 - 2).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 4*a**2 + 1. Let f(l) = 22*l**2 - 2*l - 56. What is -f(d) + 5*k(d)?\nAnswer: -2*d**2 + 2*d + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -22*a - 4700. Calculate q(-205).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2855315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.1 + -2.3. Let m = n - 3.8. Let z be (-33)\/(-9) + (-2 - 1). Which is the second smallest value?  (a) m  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 224 = -222 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.39 - -0.07.\nAnswer: 5.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/2 - 12841*n**2\/2 + 20614620*n - 20608200.\nAnswer: (n - 6420)**2*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1623*c - 1388 = 1621*c. List the prime factors of c.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**3 + 36. Let s(j) = 41*j. Determine s(i(q)).\nAnswer: -123*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s**2. Let a(k) be the first derivative of k**3 + 5*k - 152. What is v(a(z))?\nAnswer: -63*z**4 - 210*z**2 - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 7*y. Let k(g) be the first derivative of 25 - 27*g + 1\/2*g**3 + 0*g**2. Let u(l) be the first derivative of k(l). Calculate b(u(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.18449796 to 3 decimal places.\nAnswer: -2.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4\/4 + 46*o**3 - 329660*o**2.\nAnswer: o**2*(o - 1060)*(o + 1244)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2462 and -15.\nAnswer: 36930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzizziizzizzi. Give prob of picking 2 z.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = y. Suppose y = 3*a + a - 76. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 201140421101 + -30170672156071\/150. Let i = v - 2606550. Let l = i + -4294\/25. Find the common denominator of l and -41\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/34030 and 5\/2952.\nAnswer: 1225080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) -1.323  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14609, -14891, -15187, -15497?\nAnswer: -15821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d - 9*d - d + 6*d + 11*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2220?  (a) -0.2  (b) -5  (c) -0.3  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 + 36. Factor 5*o**4 - 5 + y*o**4 - 10*o + 8*o**3 + 2*o**3 - 4*o**4.\nAnswer: 5*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and 1245.25?\nAnswer: 1245.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, v: 1, w: 1, m: 5, r: 2}. What is prob of picking 3 m and 1 r?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 2*v**2 - 4*v + 6. Let c be u(3). Solve -c*j = 2*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3995422880.\nAnswer: 2, 5, 4093, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -15499978 divided by -13?\nAnswer: 1192306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 339*l**2 + 9*l - 15. Let d be a(5). Suppose -9*b = 26*b - d. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -3\/5, -0.048, 5, 17?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/4*(-1 - 3). Let v = l - -8. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -663 - -665. Suppose f*c = 84 + 22850. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.16 + 4.84. Let m = d + -5.3. Let l = -0.3 - m. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 1 - 1 = 0. Suppose 55 = u*g + 3*f, 5*g - 172 = 6*f - 2*f. Suppose 4*i = 56 + g. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2320012 + -2?\nAnswer: -2320014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**2 - 4*f**2 - 2*f**2 + (4295*f - 113*f + 1692*f)*(7 - 7 - 6*f) in the form g*f + h + u*f**2 and give u.\nAnswer: -35247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277262.\nAnswer: 2, 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1422203, -1422201, -1422199, -1422197?\nAnswer: -1422195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**3 - 38*j**2 + 49*j - 259. Let c be w(18). Sort c, 4, 0 in decreasing order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 6 = -4*s + 2*w, 5*s = w - 7. Let g = 109 - 108.8. What is the closest to s in g, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-112)*2541\/(-1210)*(-5)\/(-3).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.85 minus 0.14730523?\nAnswer: 16.70269477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/3276 and 25\/4368?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 - 9*k**2 - 16*k - 26. Calculate f(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h - 4*p = -2, -11*h = -12*h - 5*p + 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*u**2 + 3*u**3 + 9*u**2 - 4*u**2 wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, l: 2, j: 1, r: 1, w: 2, b: 1}. What is prob of sequence rb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**3 + 35*d + d**3 + 54*d - 89*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 403171399?\nAnswer: 31, 107, 121547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3247357, -6494710, -9742063?\n\"Answer: -3247353*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -88252.\nAnswer: 176504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p - 3. Suppose -10 = -4*u + 6. Let i(c) = -c - 4. Let x(j) = u*w(j) - 3*i(j). Let t(b) = -b. What is t(a) + x(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 109, 0, 3, 15, -1 in ascending order.\nAnswer: -1, 0, 3, 15, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -700.9103 - -700.6. Round b to two dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*-2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 4:39 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.26 + -1.3. Let z = -0.14 - y. Sort -2, z, -1.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007015 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*k**4*s*t*y**2 + 14*k**3*t*y**2 + 6*k**2*s*t*y - 4*k**2*s*y + 2*k*s*t*y**2 - 2*s*t*y wrt k?\nAnswer: -120*k*s*t*y**2 + 84*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - -29 - -5 - 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 4, 13, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -2. Let t(r) = r**3 - 5*r**2 - 7*r + 4. Suppose -y - 2*y = -18. Let w be t(y). Sort w, m, 0 in descending order.\nAnswer: 0, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 8 = -2*k - 3*o, 5*k + 3*o - 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 4, -2*p = -3*a + a - 120. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.078 + -52.022. Let o = q + 1.1. Let w = o + 76.3. What is w rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/p**1*p*p))**29\/(p\/p**(2\/3)*p**3))**(-50) assuming p is positive.\nAnswer: p**(4850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2*x + x. Suppose x = -2*h + 4*h + 8. Let g be (3\/4)\/(3\/(-12)). Sort 0, g, h in decreasing order.\nAnswer: 0, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-18) + 16\/3. Suppose -2*p = -f*x + 13, 2*x + 32 = 2*p + 6*x. Suppose -p*w + w - 2*y + 825 = 0, -4*w = -y - 647. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -113?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/5931433?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11343324 (base 5) to base 16.\nAnswer: 19e69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.4 in -2\/5, -0.3, 2, -8.97, 4, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 588056298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 735 + 799. Does 59 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -9 - 3. Suppose 2*j - 4 = j, 82 = -2*k + 4*j. Let i be (-6)\/k - (-4)\/(-22). Sort i, y, 2 in ascending order.\nAnswer: i, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 12:37 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 10*d**3 - 15*d**2 - 2*d - 6. Let q(v) = 11*v**3 - 14*v**2 - 2*v - 6. Let s(u) = 2*q(u) - 3*w(u). What is the second derivative of s(y) wrt y?\nAnswer: -48*y + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - h**2 + h. Let y be o(-2). Suppose -k - y*k + 18 = 0. Let v be 213\/12 + 4\/16. Calculate the highest common divisor of k and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -23*c**4 + 5*c**3 + 26*c**2. Let w(i) = -34*i**4 + 7*i**3 + 39*i**2. Let a(y) = 7*s(y) - 5*w(y). Find the third derivative of a(u) wrt u.\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y + 4*y - 6*y)*(2 - 3 + 2) + (2*y + 3*y - y)*(-3 + 0 + 0) + 4*y - 8*y - 5*y + 5*y - 4*y + 2*y to the form o + d*y and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r. Let o be z(4). Let y be (-1 - -3)*1 - o. What is the lowest common multiple of 1 and (y\/(-4))\/(2\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 3874998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, m: 1, h: 1, u: 2, t: 1, s: 2}. Give prob of sequence tmu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 4:29 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133742*s = -133808*s - 726 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -281652930 by 6.\nAnswer: -46942155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 73 - 62 + 133. Give g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.9 + -1.1. Let w = -1.99884 - h. Round w to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**2. Suppose 0*v - 3*v - 2*n + 7 = 0, 4*n + 13 = 3*v. Let d(c) = 3*c - 4*c + v*c. What is b(d(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {z: 1, q: 5, n: 1, f: 1, a: 6}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*sqrt(156) - sqrt(156))\/sqrt(12) + (sqrt(39)\/sqrt(3)*-5 + 1*sqrt(832))**2.\nAnswer: 15*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8 + 1\/(-1)*1. Suppose -5*o + 30 = -5*w - 0*o, -3*w - 13 = -2*o. Let x be 2 + -2 - w*1. Solve -b = -3*q - x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20942 by -2.\nAnswer: -10471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 5*d - 377, -4*d = -a - 430 + 125. Calculate the remainder when d is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 887, -3, 1\/8, -4, -116.\nAnswer: -116, -4, -3, 1\/8, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(504)\/(sqrt(45)\/sqrt(5)))\/(-1*sqrt(200)) + 4)**2*2.\nAnswer: 4*sqrt(7)\/5 + 64\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w + 4. Calculate l(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -53464 times -0.08\nAnswer: 4277.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -204*d**2. Let u be g(1). Let z = 317 + u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v - 13. Let f(i) = -7*i - 247. Determine f(k) + 6*s(k).\nAnswer: -k - 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1216 + 56. What is h rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.5 + 0.1. Let h = 6.3 - 6. Which is the third smallest value?  (a) 3  (b) n  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(600)\/((sqrt(12) - (1*sqrt(108) - sqrt(108) - sqrt(108))\/sqrt(9)) + sqrt(12))*-3 + -5 + sqrt(6)\/(sqrt(147)*1) + 2.\nAnswer: -34*sqrt(2)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(605) + -1)*1 - (-2 + sqrt(605))*1) + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1392 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 1)*(-2*q**5 + 1 - 1) + 0 + 0 + q**5 + 4*q**4 - q**5 - 4*q**4 + (-5*q + q + 3*q)*(-1 - q**4 + 1) + 2*q**5 - 3*q**5 + 3*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 25. Let a(j) be the second derivative of -3\/2*j**2 + h*j**3 + 3*j - 1\/20*j**5 - 5\/12*j**4 + 0. What is a(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence byp when three letters picked without replacement from ogpbppeyepbppyybp.\nAnswer: 21\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + 4. Let t = -14 + u. What is the units digit of (t + 3)*(-36)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*l**5 + 90*l**4 - 1746*l**3 + 5*l - 25375989?\nAnswer: 60*l**3 + 1080*l**2 - 10476*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f**2 - 4*f + 11 = 0. What is f?\nAnswer: -11\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 91145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.591 - -0.2.\nAnswer: -3.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -m**7\/210 - 1357*m**6\/120 - 1127*m**4\/24 + m**3\/3 + 3*m**2 - 173. What is the second derivative of o(a) wrt a?\nAnswer: -12*a**2 - 8142*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**5 - 742*h**4 - 13334*h**3 + 14822*h**2 + 13336*h - 14080 = 0. Calculate h.\nAnswer: -352, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -5*u - 395, -33*u + 28*u + 515 = 4*v. Suppose -63265 = -2*z - s, -z + 127*s + 31630 = v*s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 - (-13)\/2. Let m = -4 - -7. Suppose 3 = v, 2*k + v = 2*v + m. Solve -g - 3*y - r = k, -g = -4*y - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 - n + n + 2*n**2 + 1 - 1 + (7*n**2 - 3*n**2 - 2*n**2)*(1 + 1 - 1) + (7 - 15 - 18)*(0 + 1 + 1)*(n**2 + 0 + 0) - 508*n + 110*n**2 + 508*n.\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*q**2 + 24755*q - 13*q**2 + 40*q**2.\nAnswer: 2*q**2 + 24755*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2552022)\/44 + 2\/4. What is c rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(-1)\/d))**(1\/7)*d**(1\/6)*d*d\/(d\/(d*d**(1\/3)*d))*d assuming d is positive.\nAnswer: d**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 48 = 20*c. Suppose -c*f - 5*f - 720000 = 0. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102100 (base 3) in base 5?\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3188306462?\nAnswer: 2, 11, 109, 1329569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3 - 15. Suppose -r - 28 = -5*g, 3*r = 2*g + h*r - 1. Suppose -g*n + 10 = -4*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32 and 11.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u - 18. Let z be a(8). Let j be ((-8)\/3)\/(z\/15). Solve j*d + 6 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-1))**(-2\/51))**(1\/74))**(-1\/42) assuming j is positive.\nAnswer: j**(-1\/79254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 993, 989, 983, 975, 965, 953?\n\"Answer: -k**2 - k + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71821.44ml to litres.\nAnswer: 71.82144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 11. Suppose -452 = -10*r + p*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -213 + 223. Factor -573*c**2 - 572*c**2 - 4 + 1137*c**2 - i*c - 2*c**3.\nAnswer: -2*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 0.0360264.\nAnswer: 0.0720528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -2*z + 633492 - 9493, -1248023 = -4*z + 3*u. Let i = 181 - 179. Suppose 3*n + z = 4*t - 2*t, 0 = i*t - 2. Round n to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 249 + -247. Let y be l\/((-4)\/6)*92\/2070. Put 0.1, y, -22 in decreasing order.\nAnswer: 0.1, y, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 11:51 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 - -11.8. Let m = 1 + x. Let w = 0.8 - m. Which is the second smallest value?  (a) -1\/5  (b) w  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/14 + 1\/(-2). Let k(p) = -4*p - 1. Let o be k(z). Suppose 0 = -o*g - 0*g + 333. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98478 divided by 9\nAnswer: -10942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 454, 455, 456, 457, 458?\n\"Answer: l + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22971 divided by 1.\nAnswer: 22971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2090*a**6 + 1331*a**2.\nAnswer: -250800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 10. Let s = -12 - v. Is 30*(3 - 6 - s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900)*-1)**2 + 5 + -1 + (sqrt(1900)*-3 - (sqrt(19) + sqrt(1900) + -1 + sqrt(1900)))**2.\nAnswer: -102*sqrt(19) + 51324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -865425*f**2*m**2*u + f**2*m**2 - f**2*m - 627*f**2 + 2*f*m**2 + m with respect to u.\nAnswer: -865425*f**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439 is divided by 91.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 4*t + 12 = 0, -7*i = -3*i - t - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3619912 is divided by 5944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10941 by -15.\nAnswer: 3647\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1749 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -211489000 to the nearest one million.\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156677 is divided by 241.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v*v**1)*v*v**(-4\/7)*v*(v*v**0)**(-10))**20 assuming v is positive.\nAnswer: v**(-1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -5*i - 1\/2*i**3 - 177\/20*i**5 + 0 - i**2 - 1\/12*i**4. Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107773 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (53 + 75 + 30)*(-199*g + 4 + 97*g + 98*g) to the form c + q*g and give q.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1932\/(-10 - 230\/(-20)).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -14404362?\nAnswer: 5\/14404362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 51563\/12 - 4304. Find the common denominator of p and -101\/1742.\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrdq. Give prob of picking 1 r, 1 q, and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 2 + (14 - 8) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*c = -74, 2*q + 6*c = c + 33. What is the lowest common multiple of q and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3020*u**4 - 7*u**2 + 1511*u**4 + 1513*u**4 to t*u + m*u**3 + y + p*u**2 + l*u**4 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000628 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 262 divided by -2725.\nAnswer: -262\/2725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 106105981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1344657?\nAnswer: 3, 439, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.8, -2, 57, -12 in descending order.\nAnswer: 57, -0.8, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9679, 6, 1, -2, 25, 0 in descending order.\nAnswer: 25, 6, 1, 0, -2, -9679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 9) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*t - 95*t + g = 7, 5*t - 22 = 4*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 11) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14520 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 108 - 111. Which is the nearest to -0.2?  (a) 3  (b) 4  (c) x  (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 152, 0.2, -0.14, -1, 18, 3\/4 in decreasing order.\nAnswer: 152, 18, 3\/4, 0.2, -0.14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 4*z + 5. Let j be c(5). Differentiate 4 + j*q - q + q + 3*q**2 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -17 - 640057?\nAnswer: -640076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20801, -41580, -62357, -83132?\nAnswer: -103905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*b + 32276 = 8588. Suppose t = -658 + b. Solve 3*y + t*y = 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 92468462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 228401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 22. Let d be v(-15). Suppose d*r + 20 = 11*r. Suppose -3*i + 2*c + 5 = 3, -2*i - 6 = -5*c. Calculate the lowest common multiple of r and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 4*u + 19, -2 = -d + u - 3. Suppose 0*r - 3*v = 2*r - 30, 20 = 5*v. What is the least common multiple of r and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1923666.\nAnswer: 2, 3, 320611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that y**5\/7 + 34*y**4\/7 - 2061*y**3\/7 + 23594*y**2\/7 - 8128*y + 35328\/7 = 0.\nAnswer: -69, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2410 divided by 127971\nAnswer: -10\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5005?\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a23 (base 12) to base 13.\nAnswer: -88b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001824128699 to 6 decimal places.\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.18  (b) 0.061  (c) -2\/141  (d) 2\/5  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j**2 + 2 - 2 + j**4 - 2*j)*(7 - 4 - 7 + (0 - 1 + 3)*(-1 - 1 - 1))*(9*j - 41 + 41).\nAnswer: -90*j**5 - 360*j**3 + 180*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2495 divided by 6.\nAnswer: 2495\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llbl when four letters picked without replacement from {k: 1, h: 3, l: 4, n: 1, b: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/3192 and -61\/72?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 318 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 3 - 3)*(5 + 0 + 7 + (-4 - 3 + 5)*(0 + 2 - 4))*(-4 - 8 - 2).\nAnswer: -448*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c + 31 = -59 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44.86294 millilitres to litres.\nAnswer: 0.04486294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from mxeemewwuem.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 3573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1223874732.\nAnswer: 2, 3, 101989561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5263.2579 + 5263. Round r to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4 + 31 = 2*i, 3*i = -2*n + 23. Suppose -4*z - 6 = -n*z. Let u(w) = 8*w. Calculate u(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(5) + 5 + sqrt(55)\/(sqrt(11) - sqrt(99)))**2.\nAnswer: 4*sqrt(5) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14370362, -14370360, -14370358, -14370356?\nAnswer: -14370354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 8*v**2 - 4*v - 6. Suppose -2*n = -5*n - 18. Let z(i) = 1 + i + 3*i - i**2 - 3*i. Determine n*z(j) - y(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*z + 4*d, 4*z + 5*d - 5 = 6. Let f be -1 + 10\/2 + z. Let p = f - 4. Put 0, -3, p in descending order.\nAnswer: 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -59.4 and -1993.36.\nAnswer: 118405.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 4*l - 3 = 0. Suppose -l*n - 19 = 38. Let w = n + 27. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -65*m + 318. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fmmfmeeeeemmmmm. What is prob of picking 2 f?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288*b + 283*b = 30 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.9879 - -8.9. Round j to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -28245, -28291, -28343, -28401, -28465, -28535?\n\"Answer: -3*i**2 - 37*i - 28205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 248.1 + -250.1. Which is the smallest value?  (a) 5\/2  (b) 5\/101  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6127 + -6127. Let b(u) = 3*u. Let k be b(1). Suppose 0 = 3*d - 4*q - 12, -5*q = -d - 4*q + k. Solve s = -d*y - 2*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 4*n - 24. Factor -12*z**3 + n*z**4 + 0*z**2 - 2*z + 8*z**2 + 2*z**5 - 4*z**5.\nAnswer: -2*z*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*c**3 - 11*c**3 + c - c**4 + 6*c**3 in the form q + l*c**4 + h*c + t*c**2 + d*c**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2012 (base 4) to base 13.\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4 + (-11 - (11 - 7501\/364)) and ((-6)\/(-4))\/(6\/17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3244263 divided by -63613.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2236165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 36, 84, 142, 210, 288, 376?\n\"Answer: 5*y**2 + 33*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 396.803nm?\nAnswer: 0.000396803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9165 divided by -3055?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 237111 divided by 97\nAnswer: 237111\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -3)*(-12)\/198. Which is smaller: v or 17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 3*z - 10. Let c(d) be the second derivative of -d**4\/4 + 7*d**3\/6 - 21*d**2\/2 - 15202*d. What is -2*c(j) + 5*o(j)?\nAnswer: j**2 + j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.003744 - -0.003770899. What is o rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*352.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 0 - 12\/5*j - 114\/5*j**2 = 0.\nAnswer: -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/2 in -0.4, -1, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6986 = -39*b + 9998 + 18516. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 7:02 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -10. Suppose -3*j - 16 = p*j. Let y(g) = 3*g**2 + 4*g - 2. Let v be y(j). Solve 0*m - v = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 469 = -6*j. Is 66 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -841317*j**4 - 10*j - 12589 wrt j?\nAnswer: -10095804*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 30 + 2881*n - 2890*n + 17. Calculate the smallest common multiple of 56 and v(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -847 take away 1?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 969994.3 kilograms?\nAnswer: 969994300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -135*h + 19*h - 378*h + 17. Let p be u(-7). Suppose p = 5*g - 4*i, -3*g + 2*i - 6*i + 2117 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.3  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000135479027 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15227 - 14447 = -802*y for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 11:58 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1936, 1901, 1884, 1885, 1904?\n\"Answer: 9*h**2 - 62*h + 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3102 - -3111. Which is the nearest to -0.1?  (a) 2\/83  (b) -0.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54860 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 4\/3  (b) 1\/5  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(187) - 2*sqrt(187)) + sqrt(187))*-1 - (sqrt(187) + sqrt(187)*4)*-1)\/(-1*sqrt(11)*5 + sqrt(220)\/sqrt(5)))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 1267 - 1227 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 9 - 63*a**2 - 3*a + 64*a**2 + 2*a + 8*a. Let x be g(-7). Suppose -4*l + x*l - 3925 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121.0286 + -121. Round t to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -10. Suppose -4*h + 9 = -19. Suppose 5*m = 12 - h. What is the highest common divisor of m and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*u + 2*x, 3*u - 12 = 2*x - 3*x. Let n(k) be the first derivative of 0*k**3 - 1\/10*k**5 + 0*k - 1 + 0*k**2 - 1\/8*k**u. Factor n(g).\nAnswer: -g**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 3*w = 6. Let r(l) be the second derivative of 0 + 0*l**w + 1\/4*l**4 - 1\/3*l**3 + l - 1\/20*l**5. Factor r(p).\nAnswer: -p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 843 + -759. What is the greatest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 - 69*t - 1062. Let p be g(-46). Put 20, 28, p, -3 in ascending order.\nAnswer: p, -3, 20, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3 - 5 = 0. Suppose -t - 2*u = -4*u, -2*u + 30 = z*t. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60256\/(-6456)*(-2)\/(-4)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20767 - 8829. What are the prime factors of u?\nAnswer: 2, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18019 greater than -18020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -304 - -4?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 82215839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*y = 954 + 102 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 - 17936729.\nAnswer: -17936695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/((-56)\/16) - 1329\/126 and 25\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 at least as big as 2303647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 14*c + 32. Let w = -21 + 37. Let m be g(w). Let k be (-159)\/(-6) - (-2)\/(-4). Solve 3*j + k = -0*j - 5*u, m = -4*j + 4*u + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -212*a**2 - 8*a. Let s(h) = -71*h**2 - 3*h. Determine -3*q(u) + 8*s(u).\nAnswer: 68*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 4. Let g be (s\/(-2))\/((-2)\/(-8)). Let x be 11*g\/18 - -1. Which is the smallest value?  (a) 3  (b) x  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007880285 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 j, and 1 a when three letters picked without replacement from xxjawxxjkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 332612681 and 9625.76?\nAnswer: 332603055.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 3. Let n be (1\/(-3))\/((-33)\/(-198)). Let s be ((n\/3)\/1)\/((-2)\/(-6)). Is s smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {a: 3, v: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = f - 6, -32*a = f - 36*a - 24. What is the remainder when 191 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.9 times -0.5?\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 466111491 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -13*y**2. Let v = 47 - 46. Let q(t) = -v - 1 - 3 + 4. Let m(l) = -f(l) - 13*q(l). What is the derivative of m(k) wrt k?\nAnswer: 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1782 bigger than -1782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y + 8*y - 14*y + 28*y.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -32, 90, 1, 0, 2 in descending order.\nAnswer: 90, 2, 1, 0, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002601 to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 2599, -0.24, 0.06 in increasing order.\nAnswer: -0.24, 0.06, 2, 2599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2560 or 3?\nAnswer: -2560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 7. Suppose -4 = -6*b + 5*y, -b - 4*y + 3*y = -8. Calculate the remainder when (b\/f)\/((-40)\/4020) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - (-1 - 1)\/2. Let z = a + -8. Let n = 5 + z. Solve n*m + 4 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4797, -4795, -4793, -4791, -4789?\n\"Answer: 2*x - 4799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.2100264 rounded to 3 decimal places?\nAnswer: -17.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1049265?\nAnswer: 3, 5, 7, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*l**3 - 60*l**3 - 4*l - 49*l**3 - 2 wrt l.\nAnswer: -498*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + 8. Suppose -a + f = 3*a. What is the third derivative of 9*u**4 - 10*u**a + u**2 - 3*u**2 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uhzcqqhu. What is prob of sequence cuuq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 32\/143 + -894\/2717. Sort -133, a, 1\/2 in decreasing order.\nAnswer: 1\/2, a, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 + 0.1. Let p = 547 - 189. Let q = 2863\/8 - p. Which is the biggest value?  (a) 4  (b) q  (c) o  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tvueeugs. What is prob of picking 1 g, 2 u, and 1 v?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b4 - -20860?\nAnswer: 2078a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -89728.2 take away 2?\nAnswer: -89730.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 4*x + 64 = -52, -4*x = 4. Let o be (-20)\/30*1*-6. Calculate the highest common divisor of o and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3248, -6506, -9790, -13112, -16484, -19918, -23426?\n\"Answer: -2*v**3 - v**2 - 3241*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p + 13. Let i be m(-10). Let d = 82 - i. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28 by -150584.\nAnswer: -1\/5378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 171 - 167.5. Let i = -4.5 + x. Which is the nearest to i?  (a) -1\/8  (b) 3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177147*m**5 - 295245*m**4 + 69984*m**3 + 82620*m**2 - 36288*m + 3840 = 0. Calculate m.\nAnswer: -5\/9, 2\/9, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -12, 61, 152, 267, 412, 593, 816, 1087?\n\"Answer: a**3 + 3*a**2 + 57*a - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 58*o**3 - 5*o**2 - 5*o + 6. Let n(b) = -59*b**3 + 6*b**2 + 6*b - 8. Determine 5*n(v) + 6*x(v).\nAnswer: 53*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -4 + 12 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7909*t = -7830*t - 8611 for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 417*q**2 + 421*q**2 - 2018*q**2 + 353*q**2 + 414*q**2 + 419*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 v when three letters picked without replacement from {g: 5, z: 3, v: 11}.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2616 and 430986?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -166014853.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-16))\/((-1)\/(-2))*34. Suppose -3*d + s*d - 294 = 0. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-103 - -104)\/(1 + 62\/(-63)). Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.13018 years in millennia?\nAnswer: 0.06113018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -327 or -460?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75071756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**5 - 2*w**5 - w**5)*(-14 + 4 + 7).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/1840511 and 47\/774952?\nAnswer: 14724088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*i**3 + 1)*(13*i - 8*i + 5*i) - 2*i**4 + i**4 + 3*i**4 + (-6*i**3 + 2*i**3 + 2*i**3)*(6 - i - 6).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, d: 1, f: 1}. What is prob of sequence fs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 v when four letters picked without replacement from tfvclclv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 11*j**2 - 26*j - 21. Determine m(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.06 + 0.36. Let i = -799 + 799.2178. Let x = 0.1478 - i. What is the nearest to -0.1 in x, -0.4, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - b**2 - 3)*(153 - 3029*b - 333 + 181).\nAnswer: 3029*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, b: 5, h: 2, z: 9}. Give prob of picking 2 q and 1 z.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 11:53 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(((c*(c\/(c*c**(-1))*c)\/c)\/c*c*c)\/c))**(-45)*((c\/(c*c\/c**(-1\/3)))\/c*c)**(2\/57))**4 assuming c is positive.\nAnswer: c**(30748\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26884 and 3799950.\nAnswer: 98798700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33238 - 19265. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42122.1 + 73760226\nAnswer: 73802348.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-4\/7)*s\/s**3*(s**(-2)\/s)**(-18\/13)*s**(-1\/8)\/(s*s**(-7))*(s*s**(-7))\/s*(s*(s*s*s**0)\/s)\/s assuming s is positive.\nAnswer: s**(1061\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 2*b - 2*y - 17, -5*b + 4*y = 11. Let p be (2*8)\/2 + -1. Let w = p + -11. Sort 5, b, w in decreasing order.\nAnswer: 5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 919*m + 20422. Give t(-22).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -7*o**3 + 2*o**2 - 7*o + 4. Let c(s) = -9*s**3 + 3*s**2 - 8*s + 4. Determine -5*a(u) + 4*c(u).\nAnswer: -u**3 + 2*u**2 + 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 159 and 354464.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.3?  (a) 503  (b) -130  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23593919*h + 13323510.\nAnswer: 23593919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 664998 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u - 10. Let y(b) be the first derivative of b - 2. Suppose 3*h - 15 = -2*h. Let m be -4 + 2 + h\/3. Calculate m*r(l) - 10*y(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-6\/11)*k)\/(k*k\/k**(-1\/4)))\/(k\/k**(24\/7)*k*k**(-1\/39)) assuming k is positive.\nAnswer: k**(21017\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-2 + sqrt(612) + sqrt(612) + sqrt(612)) + (-4*(sqrt(119) + (sqrt(119) + sqrt(119)*5 - sqrt(119)) + sqrt(119)) - sqrt(119))\/sqrt(7))**2.\nAnswer: -688*sqrt(17) + 31497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.5018803 to 2 dps.\nAnswer: 37.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1988 - -1799. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11 + 45*u - 13 + 2 + (5 - 1 - 2)*(-3*u - 2*u + 2*u).\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4010 - 2?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4155*q**2 + 557362*q**2 + 286661*q**2 - 72694*q**2.\nAnswer: 767174*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c**3 + 8*c - 4 - 7*c + 4*c - 2*c**2 to y*c + b*c**3 + a + s*c**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21188175 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b - 9*d - 2 = -8*b - 10*d, 0 = -5*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 - 14. Let a = 0 - z. Sort -0.5, 3\/8, a in ascending order.\nAnswer: a, -0.5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.11 - 6.89. Let f = g + 4. What is the closest to f in 1, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -14*x + 1. Suppose 175*p - 135 = 220*p. Let m(s) = -15*s + 1. Determine p*q(a) + 2*m(a).\nAnswer: 12*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 726.1133t?\nAnswer: 726113300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23896.00040708 + -23896. Round q to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 349946*i**2 - i. Let c be l(1). Let q = 182945 - c. Round q to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (84\/(-6))\/(791\/(-678)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w. Let g(l) = -222*l - 222*l - 228*l + 675*l - 32 - 4. Calculate q(g(n)).\nAnswer: 3*n - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u - 3*u + 8410 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2 + 16632*p + 33276 = 0. Calculate p.\nAnswer: -2, 5546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*(a*a**1*a*a*a)\/a))**(-27)\/(a*a**(-20))**(1\/24) assuming a is positive.\nAnswer: a**(2611\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 8:48 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4, -5, -6?\n\"Answer: -m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -335*w + 19875 = 460*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 1 + (-16 - ((-5 - -9) + -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 431100 (base 5) to base 12.\nAnswer: 84a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -35.4104*-229\nAnswer: 8108.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bwawpaawpwwp. What is prob of picking 1 p and 1 w?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - (1 + -8 + 5)) + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v + 1 - 1)*(25*v - 11*v + 18*v) - v**2 + 3 - 3 + (-v + 4*v - v)*(-2*v + 1 - 1) + 4*v**2 - 5*v**2 + 0*v**2 + v**2 - 2*v**2 + 3*v**2.\nAnswer: -68*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 97, 81, -4?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + 3*m + 6. Let b = 889 + -892. What is f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 4*i = -41, 4*b - 40 = 2*i - 7*i. Suppose -b*s + 41 = 3*t - 40, -s = -4*t + 108. Calculate the greatest common factor of t and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -r*u**2 + 58*r*u - 258*r + 2*u**2 - 2*u - 3 wrt u?\nAnswer: -2*r*u + 58*r + 4*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (50\/180*-3)\/((-5)\/274)*-3\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102059 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 14) + 24 - (2 - -18 - 5) - -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60396.62ml to litres.\nAnswer: 60.39662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -491 - -491. Let w(z) be the second derivative of z**4\/12 - z**3\/2 + 7*z**2\/2 - 223*z. Calculate w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**3 + 24*y**2 - 18*y - 392. Give n(-10).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1391451831.\nAnswer: 3, 7, 11, 669289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h**2 + 3*h - 1. Let r be -35*(-9)\/45 + 6. Let w(o) = 22*o**2 - 12*o**2 + o - r*o**2 + 3*o. Give -4*c(d) + 3*w(d).\nAnswer: -d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(12\/11)*y**(2\/43)*y**(6\/19)*y**(-2\/35))**(-2\/3) assuming y is positive.\nAnswer: y**(-878252\/943635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*p**4 + 7123013*p**2 - p + 33680684.\nAnswer: -8*p**3 + 14246026*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 0*k - 162 + 2\/3*k**6 - 48*k**3 + 0*k**4 + 0*k**2 - 9\/5*k**5. What is the third derivative of h(w) wrt w?\nAnswer: 240*w**2 - 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*q + 19 = n + 68*q, -2*n - 7 = -5*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2494461 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5*x + 363 + 147 = 0, 5*u = -3*x + 2484. Let f = u - 490. What is the lowest common multiple of 1129 and f?\nAnswer: 5645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2665, 2685, 2733, 2821, 2961, 3165, 3445, 3813?\nAnswer: 4281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 42331*w + 126997. Determine t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - x**2 + x - 357. Let o be s(0). Let q = o - -357. Suppose -6 = 5*p - 3*p, 4*n + 5*p + 15 = 0. Solve n = 3*c - 12 - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 23 = -j - 0*j, -3*y - 13 = -j. Let x(t) = -t + 8. Calculate the remainder when x(y) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/16 in 4, -0.5, -1\/5, 18\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 4*r - 3. Let y be t(6). Let a(q) = -4*q**2 + 7. Let x(u) be the first derivative of u**3\/3 - 2*u - 1. Calculate y*x(v) + 6*a(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 - 442*a**2 - 2161*a - 211. Determine d(-216).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-13 + 14)\/(-3))\/((-2)\/44358) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3579834871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-78)\/7)\/((-4)\/56). Suppose -c = n + 3*h, 5*h - 273 - 209 = 3*n. List the prime factors of (26\/39)\/((-2)\/n).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*c)*(231 + 115 + 147).\nAnswer: 986*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2609 is divided by 96?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54328, -54322, -54312, -54298, -54280, -54258, -54232?\nAnswer: -54202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k**2 + 4. Let p(a) = 2*a + 490. What is p(y(t))?\nAnswer: 8*t**2 + 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16 - 16 + 6*c**3 + (-c**2 - c**2 + c**2)*(11 - 11 - c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.6, -0.4, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 33*f**2 + 70*f - 192. Calculate the smallest common multiple of 441 and n(31).\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 9*y**2 + 43*y - 529. Let v be g(10). Which is bigger: v or 12\/461?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -75 + 117. Let t = d + -29. Calculate the remainder when 37 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - o**3 - 30 + 30 + 16*o**3 - o**2 + o**2 - o**3 + (-o + 2*o**2 + o)*(-2*o + 9*o + 5*o).\nAnswer: 38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 53742599 - -395.\nAnswer: 53742994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*x - 18*x - 24345 = 429*x - 11*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 318 = -5*d. List the prime factors of d.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16630, 16686, 16778, 16906, 17070?\nAnswer: 17270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1061*x + 317*x + 15624 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -190*i**2. Let r(x) = 161413 - 322827 + 161414 - 41*x. Determine r(b(y)).\nAnswer: 7790*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**3 + 29*k**2 - k**4 - 29*k**2)*(-1 - 2 + 5)*(-2 + 2 + 2).\nAnswer: -4*k**4 - 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15885499 is divided by 408.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00046408464 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-10 - -15 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -a**7\/42 + a**4\/4 - 7*a. What is the third derivative of f(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 787210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -961053 divided by -4?\nAnswer: 961053\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + -14 + -3 + -8 + 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**10)\/p)\/p*p)\/(p*p*p*p**11)*(p\/((p*((p*p*(p**4\/p)\/p)\/p)\/p)\/p))\/p*((p**(-1\/21)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-610\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3987471 times -5\nAnswer: -19937355","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 657491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - h - 1. Let q(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/12 - k**3\/3 + 5*k**2 - k. Let r be q(3). Give w(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a be (78\/(-4))\/3*-2. Suppose -17*l + a*l + 236 = 0. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 10. Suppose -s + 245 + 69 = z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 267339683, 534679358, 802019035, 1069358714?\n\"Answer: m**2 + 267339672*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.77 in -6, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2182547\/112 in 0, -0.2, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4084 * 0.8.\nAnswer: 0.32672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n**17*n*n**(-28)*n)\/(n**(-7\/2))**(2\/105) assuming n is positive.\nAnswer: n**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 2, 13, -434 in decreasing order.\nAnswer: 13, 2, -10, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 PM and 4:53 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -3001?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 551343366 divided by -3?\nAnswer: -183781122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = s - 14. Let r(o) be the second derivative of 0*o**3 + 0 + 7\/2*o**2 + 9*o - 7\/12*o**4 + 1\/20*o**5. What is r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/((2\/(-6) - -1) + 0). Suppose -4*y = -6*y + 2*x - 2, 2*y = 3*x - p. Solve -3*d = 2 + 4, 2*c + 5*d + 4 = y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -5*a. Let d(w) = -768*w. Calculate h(d(z)).\nAnswer: 3840*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 18 + 6*k**2)*(-9 - 3*k + 9) + (k**2 - 5*k**2 + 6*k**2)*(-5*k - 4 + 4) - k**3 - 2*k**2 + 2*k**2.\nAnswer: -29*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 26\/(-78) + 62\/150. Let s(j) be the first derivative of -2\/15*j**3 - 5 + i*j**5 - 2\/5*j**2 + 0*j + 1\/5*j**4. Factor s(k).\nAnswer: 2*k*(k - 1)*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h**3 + 2*h + 6. Let g(v) = -3*v**3 - 2*v - 5. What is -5*g(k) - 4*y(k)?\nAnswer: 3*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10110011011010000110 (base 2) to base 7.\nAnswer: 6150301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of -c**4\/12 + 2*c**3\/3 + c**2\/2 - 7*c. Let u be q(3). Is 15 a factor of (u\/6)\/((-6)\/(-747))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6111 and 776?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 + 4*v**2 - 2*v. Let q be s(3). Suppose q*c - 2 = -2*z - 5, 4 = -z - 2*c. 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(z) = z - 9. Let u(r) = -3*r - 2. Let n be u(-6). Let h be f(n). Suppose -6*l - 5*b - h = -4*l, 5*l = 2*b + 26. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47026, 47062, 47098, 47134?\nAnswer: 47170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 + 2. Let n(y) be the third derivative of 13*y**5\/20 + y**4 - 4*y**3 - 4*y**2. Let z(j) = -8*j**2 - 5*j + 5. What is o*z(h) - 5*n(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k + 105 = 3*k. Let w(n) = -n - 10. Let i be w(k). Factor 3\/5*a**i + 6\/5*a**2 + 3\/5*a - 6\/5*a**3 - 3\/5*a**4 - 3\/5.\nAnswer: 3*(a - 1)**3*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -67700*v - 1353991. Give a(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 divided by 65?\nAnswer: 79\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**3 - 7729975*r**2 - 1190505085*r - 45835587105.\nAnswer: 5*(r - 1546149)*(r + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (0 - 2) - (-34 + 46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-6))\/(q\/(q**(1\/16)*q)))\/(q*q**12*(q*q*(q\/q**(-2\/37))\/q)\/q))**9 assuming q is positive.\nAnswer: q**(-101187\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -129*v + 779*v - 2665 + 25301 + 18964 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8865, -8570, -8297, -8058, -7865, -7730?\n\"Answer: -2*a**3 + a**2 + 306*a - 9170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -6. Suppose 5*k + 8 = 3*s, -4*s = r*k - 3*k - 5. Let i be (-2 - -1)*(k + 5). Which is the biggest value?  (a) 0.3  (b) i  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*d**3 - 104*d**2\/3 - 46*d\/3 + 4\/3 = 0. Calculate d.\nAnswer: -1, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.6494 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1092*x - 1107*x + 0 + 0.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2112 = 4*f, 0*c + 3*c + 3*f = 1578. Let x = 1352 - c. Suppose -5*k = -x - 260. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 13 + 2*l**2 + 41632166*l**3 - 41632165*l**3 + l**4 + 19*l as r + w*l + k*l**2 + c*l**4 + g*l**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -66 and -20906878741.\nAnswer: -20906878807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 26\/(-36) - (-4)\/18. Let z = 0.1 - 0.1. Let k = -99 + 1091\/11. Sort z, j, k in descending order.\nAnswer: k, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 49673306 to the nearest integer?\nAnswer: 7048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*414.\nAnswer: 4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19939*l**2*q**3 - 110735*l**2 - 405*l*q**4 + 4*l*q - 2*l wrt q.\nAnswer: -119634*l**2*q - 4860*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*z = 6*z + 6, -3*o + 4*z + 17 = 0. Let c(w) = w**2 - w. Let s(v) = 8*v**2 - 7*v - 2. What is o*s(k) + 6*c(k)?\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 22\/(1*-1*(-5 - -3)). Suppose 7*z - o*z + 188 = 0. Let n = z - 47. Which is bigger: 1\/15 or n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -6. Let p(m) = 7*m - 1. Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2051*n - 1253*n - 1973*n.\nAnswer: -5277*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f + 12. Let r be j(-17). Suppose -r*y + 9218 = -7*y. List the prime factors of y.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*l = -2*z - 83*l + 73, -4*l - 2 = -13*z - 4 + 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 981913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -9*m**2 - 6*m. Let z(o) = 5*o + 97. Let u be z(-20). Let w(r) = 5*r**2 + 3*r. Calculate u*g(d) - 5*w(d).\nAnswer: 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4811*-0.2\nAnswer: -962.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 5*c**2 - 4*c - 23. Let q be v(-5). Let n = 5 - 1. Is q at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30126 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: What is the common denominator of 23\/36 and -17\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7433 - -10055. Does 38 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -155823, -311662, -467515, -623382, -779263, -935158?\nAnswer: -1091067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + b**2 - 3*b - 4. Let u be h(-2). Let v be u\/6 - 14\/(-21). Suppose 0*q = -2*q + c + 35, 2*q = v*c + 29. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n + 2*n + 0*n. Suppose 1 = -z + 3. Let r(i) = -6*i**2 + 0*i**2 + z*i**2 + 2*i**2. What is c(r(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 2*y + 30. Let r be o(5). Let m(j) = -j**2 - 3*j + 1. Calculate m(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 21. Let f be ((-12)\/(-28))\/(v\/4). Let w = -96.5 - -97.5. Which is the nearest to -1?  (a) f  (b) 6  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 5*u + 120. Is u less than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 5. Let p = g - -5. Suppose -20 = -p*b - 0*b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of 1\/42*a**4 + 0*a**2 - a + 0*a**3 + 3. Let s(t) be the first derivative of c(t). Let s(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + -28. What is the first derivative of 2 + 12*s - c + 2 + 14 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 - -79. Let v = 40 - s. Sort 2, -0.3, v in decreasing order.\nAnswer: v, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-5 + sqrt(28)\/sqrt(4) + -1*sqrt(63)) - (sqrt(7)*-1 + 4 + (sqrt(448) - (sqrt(448) + -2 + sqrt(448) + sqrt(448))) + sqrt(448)))*2.\nAnswer: -52 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 8:57 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 14 + 4. Let f = 0.731 - 0.029. Let g = -0.298 - f. Which is the closest to 0.9?  (a) g  (b) z  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -3, -733, 101 in descending order.\nAnswer: 101, 5, -3, -5, -733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j - 6*j - 4*j)*(-1 - j**2 - 23*j - 8*j**2 - 25*j).\nAnswer: 45*j**3 + 240*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5*226*(-4)\/(-40)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 2 + 0)*(-2*u + 3*u - 2*u) + 4*u - u + 2*u + 2*u - 3 + 3)*(3 - 4 + 2)*(-12 + 50 + 79).\nAnswer: 1053*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 367 a factor of 7287084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -482*223063.\nAnswer: -107516366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*1*((sqrt(5) - (5 + sqrt(80))) + sqrt(80)*-2 - sqrt(50)\/((sqrt(30)\/sqrt(3) - sqrt(10) - sqrt(10))*5)).\nAnswer: -108*sqrt(5)\/5 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 437 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 25, 4*h - 3*b = 3*h + 146. Let y be 19\/38 - h\/(-2). Are y and 68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 170 + 31.3\nAnswer: 201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*c**3 - 4*c**3 + c**3)*(-c**2 + 6*c**2 - 3*c**2) - 3*c**5 + 5*c**5 - 3*c**5.\nAnswer: 9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 155 - 6?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/2*96\/15. Which is bigger: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*x + 0*x**2 + 1\/4*x**3 + 0*x**4 - 1\/4*x**5 + 0 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/38)*((o*o\/o**10)\/o*o)\/o*o assuming o is positive.\nAnswer: o**(-303\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 37831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -173*t**3 - 132*t**2 - 31*t - 2. Let l(m) = 174*m**3 + 132*m**2 + 31*m + 2. Let s(q) = -3*j(q) - 2*l(q). Suppose s(h) = 0. Calculate h.\nAnswer: -1\/3, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k + 36. Determine j(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -224275, -5, -1, -2\/15, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11444 = 682*n + 770*n - 8884 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2. Let s = -9 + 4. Let n(r) = 6*r + 5. Let m(q) = 7*q + 6. Let p(z) = s*m(z) + 6*n(z). Give p(b(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 53056b (base 12) to base 9\nAnswer: 2412082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 0*z = z - 15, 5*z = -25. Suppose 5*u + 852 = i*j, 2*j - 3*j + u = -212. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7415 - 7410. Suppose -3*w + 12 = -5*k, -5*k - 6*w + 12 = -3*w. Let n = k + 5. Solve n*i = 4*t - 41, 0*t + 9 = -b*i - 4*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-200)\/(-60)*(-2 + (-5)\/(-1)). Suppose n = -5*a - 5*r, -a + r - 7 = 3*r. Solve h = -v + 5*v, a*h + 14 = -2*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r**3 + 6*r**2 - 21*r - 8. Let g(l) = -6*l**3 + 20*l**2 - 62*l - 23. Give -10*b(j) + 3*g(j).\nAnswer: 2*j**3 + 24*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 9:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/15)*c**44 assuming c is positive.\nAnswer: c**(661\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r. Let d = 495 - 474. Let k(n) = 4*n + 22 + d + 16 + 13 - 68. Give k(i(p)).\nAnswer: 16*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*x**4 + 21*x**3 - 15*x**2 - 12*x.\nAnswer: 3*x*(x - 1)*(x + 4)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/((-1*sqrt(10))\/sqrt(5) - sqrt(2)) + (-2 + sqrt(99) - (sqrt(1100) + sqrt(11))))**2.\nAnswer: 34*sqrt(11) + 3195\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316509 = -41*m - 28812. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -860, -3479, -10576, -24389, -47156, -81115, -128504, -191561?\n\"Answer: -373*d**3 - d**2 - 5*d - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 7. Let g be q(-3). What is the third derivative of -5*x**g - 4*x**4 - 2*x**4 - 12*x**2 + 2*x**4 wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 0.074?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 2*d + 9 - 1, 0 = -3*k - 3*d. Let a(g) = -4*g + 0*g + k*g + g. Let v(z) = 3*z. Give a(v(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -60578\/15 - -4037. Let t = -4\/3 - p. Let j = 0.045 + 4.955. Which is the closest to 0?  (a) 3\/2  (b) t  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 - 6*u - 102. What is j(0)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = f - 59 - 17, 0 = -5*n + 15. What is the second biggest value in 2, 0.2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(160)*1*-3)\/sqrt(8) - ((sqrt(60) - sqrt(60)*-2)\/sqrt(3) + sqrt(60)\/(sqrt(3)*1))) + -3)**2.\nAnswer: 252*sqrt(5) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.015828kg in nanograms?\nAnswer: 5015828000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/2, -12, 4, 12862, -2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -5 - 0 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g - 4. Let i be v(-7). What is the third derivative of 4*c**3 - c**i - 6*c**2 + 4*c**2 wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2622*d - 1309*d - l = 1314*d - 4, 0 = 4*d - 31*l + 264 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -16. Let m = k + 12.00000016. Round m to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1958 - 1290 - 3339 - n to the form f*n + h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13940 and 1025.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -9*s**3 - 6358470*s**2 + 8477972*s - 2825992 = 0.\nAnswer: -706498, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(200) + sqrt(98) + sqrt(98) + 3)**2 + 2.\nAnswer: 288*sqrt(2) + 1190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 - 9 = -6*c. What is the remainder when 56 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 3\/4, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/2*g + 0*g**3 - 3*g**4 + 3\/2*g**5 + 3*g**2.\nAnswer: 3*g*(g - 1)**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.26 + -0.56. Which is the nearest to -6\/5?  (a) -5  (b) l  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - u - 4, 4*i = 7*u - 3*u. Solve 0 = -i*t - 12*t + 70 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3) + 1)*-5)**2 + sqrt(3) - sqrt(3)) + (sqrt(3) - (-1*sqrt(3) - sqrt(3))*4).\nAnswer: 100 + 59*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*r = 31, 3*r = 4*s + 6*r - 7. Let g be (-190)\/80 + s + -2. Let k = g + -1\/8. Is -1\/5 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**4 + 2*n**4 - 9*n**4 + (17*n**2 - 38*n**2 - 59*n**2)*(3*n**2 + 2*n**2 - 3*n**2).\nAnswer: -166*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -155 + 159 - (1 - -28) - -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -i - f, 27*i - 24*i = -4*f + 57. Is i != 42\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3314945783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 0*l + 0 + 0*l**4 + 1\/6*l**3 - 1\/12*l**5 + 8*l**2. Let a(o) = 6*o**2 - 2. Calculate -3*a(n) - 4*m(n).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29 + 11 + 938*o**2 - 942*o**2 wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/238144 and 131\/89304.\nAnswer: 714432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 32*i**6*q - 4*i**4*q - 482*i**4 + 28*i**2*q - 104*i - 11*q + 2 wrt i?\nAnswer: 3840*i**3*q - 96*i*q - 11568*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 5*a + 3*b, -a - 3*b = -2*b - 11. Solve -15*l = -a*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.78 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u, 1 h, and 1 c when four letters picked without replacement from {p: 7, u: 3, g: 1, c: 4, h: 2}.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -5*u + 149. Let z(y) = -5*y - u*y**2 + 2*y + 3*y. Give z(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15 or 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k*k**(-2\/113)*k)*k))\/(k**(11\/7)\/k*k))**(15\/2) assuming k is positive.\nAnswer: k**(-3495\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.035 - 1.035. Let q = -2 + m. What is the second biggest value in 0.2, q, 0.4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 2 - 2 - -5) + -77 + 50.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(-1\/6)\/b)*(b\/(b*b\/b**(1\/3)))\/b)\/((b\/(b**4\/b*b))\/b)**(-6))**(1\/96) assuming b is positive.\nAnswer: b**(-49\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from ooojjjmomo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 54831368 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -15. Which is smaller: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (15\/2)\/5*4. Let g be ((-1)\/3)\/((-1)\/12). Let i(n) = -3*n**2 - g*n**2 + 6*n**2 - 3 + 7*n - 2. What is i(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjkjjjjjjkjk. Give prob of sequence jj.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 309947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/5))**28\/((h**(-1\/4)\/h)\/(((h*h**(-2\/41))\/h*h)\/h*h*h)) assuming h is positive.\nAnswer: h**(-6559\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2662 divided by -121?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/((-10)\/(-54) + (-2)\/9). Suppose -5*t - 57 - 128 = 0. Let w = b - t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47298404 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 82, 124, 200, 322, 502, 752, 1084?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -5*(sqrt(68) + sqrt(17)) + 3)*-1)**2.\nAnswer: -150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3264704 (base 8) to base 6\nAnswer: -30501352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 248*t - 17*t - 51*t**3 - 55*t**3 wrt t?\nAnswer: -636*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m**3 - 214*m**2 - 889*m - 21. What is a(-4)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 138463930, 1, 2, 5 in decreasing order.\nAnswer: 138463930, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 39949416 a multiple of 1041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 618*o - 104 + 16091 - 180*o.\nAnswer: 3*(o + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 2:21 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5560 and 100311296.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3034466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4*w**2 + 2*w. Let m(d) = 6*d**2 + 31*d + 4. What is m(b) - 3*o(b)?\nAnswer: -6*b**2 + 25*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 152\/(-20) - (-4)\/(-10). Let x(v) = -2*v + 9. Let y(z) = -9*z + 37. Let m(r) = -26*x(r) + 6*y(r). What is the units digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 71*3 - (0 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58866 is divided by 58549?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 - 19*z - 984. What are the prime factors of v(45)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 16) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3026*d**2 + 238 + 1791*d**2 - 471 + 233 + (2 - 3 + 0)*(d - 2*d**2 - d))*(1 + d**2 - 1).\nAnswer: 4819*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 1 = -2*c. Let t = -3.2 - -2.4. Let h = t - -0.5. Sort 2\/3, h, c.\nAnswer: c, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*t = 2112, 22*t - 2796 = -4*v + 26*t. What is the highest common factor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 0*h**4 + 0*h**3 + 1\/3*h**6 + 0*h**5 + 3\/2*h**2 - 1 + 0*h. Find the second derivative of t(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 12 = 0, -15*w = -10*w - 0*w - 497*p + 135 + 1256 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23 + 10 + 11 + 18*h**4 wrt h.\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 42 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2296 divided by -1\nAnswer: -2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 5*j**2 - 10*j - 86. Let g be n(-6). Solve -5 + g = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -3. Find the second derivative of -o*k**2 + 0*k**2 - 9*k + 6*k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7333 != -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of m**5\/10 + 155*m**4\/6 + 166*m. Let n(r) = 0. Calculate r.\nAnswer: -155, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 - 6*i - 30. Let u be (-2 - (-2 + 1))*21*6\/9. What is g(u)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 5915*m + 5917*m - 14 = 0, 0 = 5*h + 2*m + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3894566298.\nAnswer: 2, 3, 7, 347, 267227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -347*x**2 + 386*x**2 - x + 2 + 3*x**3 + x**3 in the form z*x**2 + i + n*x**3 + q*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -12, -72171 in increasing order.\nAnswer: -72171, -12, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 362851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4820 + -5412. Is i > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 790  (c) 3\/2  (d) -5\/6  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -32*g**2 - 291*g + 1625. Calculate x(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4*-3*(-7)\/(-630)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 10 = s - 4*n, -s = -2*n + 11. Let b be (s\/5)\/(2\/(-20)). Suppose 3*p = b*p - 201. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.53, -1\/13, 0.2?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -10. What is the third biggest value in -5, x, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iijiijijii. Give prob of sequence iii.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 734 is divided by 366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -35.726863 to zero dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccncccccccic. What is prob of sequence cii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*i + 189 = -192*i - 391 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -4*j - 2*n, -6*n = 5*j - n - 45. Calculate the highest common factor of j and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11486 - 11481. Which is the fifth smallest value?  (a) -550  (b) -1\/3  (c) -4  (d) r  (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3154)\/(-6384) + ((-1)\/(-21) - (-2)\/(-6)). Let i(h) be the third derivative of -h**3 + 12*h**2 - 1\/60*h**5 + 0 + 0*h + j*h**4. Determine i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 24*t. Let m(g) = 2*g - 2*g + g**2 - 2*g**2. What is o(m(a))?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 + 3 + 5)*(-12*d**2 - 2*d**5 + 12*d**2).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 174*v**2 + 5234*v + 4081. What is y(135)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-3 - 0) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a factor of 6302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 1252254421?\nAnswer: 1252254423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 5*p**2 + 2*p. Suppose 19*l + 7*l - 52 = 0. Give u(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -87*v - 4*v**2 + 87*v. Let w(m) = 3*m. Calculate s(w(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 902\/(-70) + (472 - 458) + 4\/(-10).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*y - 0. Suppose c = -c - 8, 0 = 2*a + y*c - 58. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*l = 78 + 124 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + (sqrt(30) + sqrt(60)\/sqrt(2))\/sqrt(6) + (sqrt(140)*6)\/(sqrt(28)*-2))**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - m + 6, 0*m = 2*m - 10. Let z be h + 5 - (-2 + 3). Solve 0*f = -z*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/4*(-22)\/(-33). Suppose -3*t + 4*v + k = 2*v, -4*t = -3*v. Let h(a) = a**3 - 2*a**2 - a + 4. List the prime factors of h(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32*-23568005\nAnswer: 754176160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 2*l + 11 = 0, -i - 2*l = -l + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-10)\/((28\/8)\/(-7)) and (-1 - 3)*-12 - 2.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 6. Let t = w + -5.3. Let i = 152\/91 - 1\/273. What is the second smallest value in -5, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*i = -360*i + 151*i + 4576 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1033 divided by -5118\nAnswer: -1033\/5118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 22*s**2 - 4*s. Let r(t) = -20*t**2 + 3*t - 1. Let o(f) = -4*a(f) - 5*r(f). Let b be o(-1). Solve -2*d - 4*p - b = 0, p = -d - 4*d + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 916332.\nAnswer: 2, 3, 19, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13235*b - 61*b**2 + 13235*b to c + l*b + q*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2\/7, 16, -0.76, 1\/2, 2\/7 in decreasing order.\nAnswer: 16, 1\/2, 0.4, 2\/7, -2\/7, -0.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*l**3*y**2 + 930686*l**3 + 437683*l*y**2 - 2*y**2 + 6 wrt l?\nAnswer: 42*l*y**2 + 5584116*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137698 is divided by 937.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.08 + -1.92. Let c be (16\/(-264))\/(2\/3). What is the second smallest value in 2\/3, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3313926*v**4 - 11*v - 108813146 wrt v.\nAnswer: -13255704*v**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*h + 2105814 = -646530. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 91 - 71. Let h(g) = -g**2 - 4*g - 1. Let u be h(-3). Let n be (8\/t)\/(u\/70). What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -4 - (1044\/(-63))\/4.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 3*v - 12*w - 70 = 0, 4*w + 26 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1511, 1505, 1497, 1487?\n\"Answer: -l**2 - 3*l + 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 90569191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -1 + 6. Let w = 12 - 59\/5. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-2)\/8*2). Suppose -k*u - 4 = 6. Let z be (u\/4)\/((-1)\/(-4)). Put 1, 5, z in decreasing order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 16 = 4*i - 5*q, 2*i + 5*q = 17. What are the prime factors of -19 + 274 + (i - -1)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4298\/107?  (a) 1\/8  (b) 0.27  (c) -5  (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**3\/6 + 7*z**2\/2 - 61*z. Calculate the remainder when b(-8) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41\/2 - -23. Let k be (-26)\/(-6) - 9\/3. Sort l, k, -0.1.\nAnswer: -0.1, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*q + 8. What are the prime factors of ((-5)\/((-5)\/(-7)) + q)*-51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by (-1 - (-27)\/4) + (-3)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*m**2 - 127*m**2 + 24*m**2 + 35*m**2 + 29*m**2 + 28*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2023 + 12?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.5152957 + 1.395295. Let l = j + 0.12. What is l rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -61 + a0b?\nAnswer: 98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/174020 and 19\/3164.\nAnswer: 174020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1475*r = -594*r + 206 + 6590 + 3549. Let b = 0.06 - 0.1. Put -2\/43, b, r in descending order.\nAnswer: r, b, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 880\/34 - (-30)\/255. Solve -4*y - q + u = q, 15 = 3*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/551?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 2 = 3*x + 3, -19 = c - 3*x. Sort c, 1, 0.\nAnswer: c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2 + 7017718*u + 7017716.\nAnswer: 2*(u + 1)*(u + 3508858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -293 - -210. Let w = 86 + y. Let n = -3.5 + 3. Sort w, n, 0.4 in descending order.\nAnswer: w, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.00529338 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u + 8898 - 4423 = 4447 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 8*q**2 + 568*q - 181. Calculate s(28).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 264 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 3*l**2 - 2*l - 2. Let o = -4 + 1. What is the units digit of c(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 9:34 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-18)\/(-24) + (-130)\/(-8). Let z(h) = -h + 26. Let n be z(v). What is the first derivative of 5*i + 2*i - 21*i + n + 4*i wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -14, 3, 5 in ascending order.\nAnswer: -14, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**3*x**3 + 920*b**3*x - 3*b**3 + 65*b**2*x**3 + 130*b**2*x**2 - 2*x**2 wrt b.\nAnswer: 6*x**3 + 5520*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + -5)\/((-5)\/(-40)). Let p = y - -415. 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 hundred millions digit of 2487566453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8058 and 4865136.\nAnswer: 82707312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m**2 + 2*m. Let c be 15\/10*(-8)\/(-6). Let r(x) = c*x + x - 5*x + x. Let t(a) = j(a) + 6*r(a). Find the second derivative of t(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.05871623 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 15) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that y**5\/3 - 1969*y**4\/3 - 426126*y**3 - 183955928*y**2\/3 - 542948704*y\/3 - 120089728 = 0.\nAnswer: -268, -2, -1, 2508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 509, 1603, 2695, 3785, 4873, 5959, 7043?\nAnswer: 8125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 s when four letters picked without replacement from sdsedesee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137, -275, -413, -551?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = -4*z, 0 = n - 5*z - 24. Suppose 5*q + 4 = n. Suppose 13 = 2*d + 2*x + 5, 5*x + 15 = q*d. Calculate the greatest common factor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 18, 34, 72, 144, 262?\n\"Answer: 2*s**3 - s**2 + 5*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q**2*x**2 + 98084*q**2*x + 1320801*q**2 + 14*x with respect to x.\nAnswer: -2*q**2*x + 98084*q**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 5, 30, 613 in descending order.\nAnswer: 613, 30, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2286 = -5*z, p - 1104 = 15*z - 19*z. What is the highest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (48\/(-21) - -2)\/(20\/(-18674180)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 3*r**2 - 4*r - 14. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -168851\/10 + 16884. Suppose -5*d - 23 = -v, -4*v + d - 3 = -0. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 2*s**2 - 2*s + 1. Suppose -38 = -8*q - 22. Let o be n(q). Sort -5, -4, -2, o in descending order.\nAnswer: -2, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 a factor of 1583835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**3 + 25*r**2\/4 - 3*r\/2 = 0. What is r?\nAnswer: 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101100100001001100 (base 2) to base 15.\nAnswer: 39068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in -0.52, 0.4, -0.018?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/18 and 1941\/(-180) + 1\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**2 + 5*i + 11 - 5*i + 31*i**3 - 29*i**3 to the form h*i**2 + q*i**3 + c + m*i and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*v = 1419 - 2101. What is the nearest to v in -0.2, 0, 5.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**5 - 4*d**5 + 0*d**5 + (1 - 3 + 3)*(d**5 - 2*d**5 + 2*d**5) + d**5 + 2*d**5 - d**5.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddfdfdffdfddd. Give prob of picking 2 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 11:48 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrdrrrrrrdr. Give prob of sequence drr.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n - 29. Let j be q(-18). Let u(x) = 14 - 2*x + j*x + 0*x - 3*x. What is the units digit of u(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*u - c - 14589, 15 = 3*c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, -154, -235, -318, -403?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -401212203 - -10?\nAnswer: -401212143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2839*p**4 - 5000758*p**2 wrt p.\nAnswer: 68136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 854648372?\nAnswer: 2, 173, 1235041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 8627*m - 190210. Determine t(22).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyxx when four letters picked without replacement from {f: 4, y: 5, x: 10}.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**3\/5 - 182*i**2 + 15777*i\/5 + 16686\/5 = 0.\nAnswer: -927, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*c + 3, -8 = -3*c + 7*c. Let l be 3\/a - (-7)\/3. Suppose 0 = l*w + 4*k, -w + 5*k + 9 = -19. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 2*y - 2216, t + 152*y - 157*y - 543 = 0. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -296, -897, -2026, -3851?\nAnswer: -6540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 1544 - 555 = -5*n, 4*n - 1672 = 4*z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of 1\/4*b**4 + 0*b**2 - 2 - 4*b + b**3. Let i(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/4*(6 + -4). Let k = o + 8. Suppose 7 = d - k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*k + 8 = 101*k. Let w(l) be the first derivative of -4\/5*l**5 - 3 + 1\/3*l**6 + 4\/3*l**3 + 0*l - l**k + 0*l**4. Suppose w(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2121 - 14596 + q - 2020 as z*q + n and give n.\nAnswer: -14495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1559*o + 6 = -3*c - 1555*o, -3*c = 5*o + 33 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*i - 4. Suppose 7*n - 20 = i*n. Calculate the remainder when 14 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -4.2. What is the smallest value in 1\/2, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-464)\/(-76) - (0 + 6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2710\/77 - -384\/11. Which is the closest to 0?  (a) -1\/7  (b) p  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30267711 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*g - 1 = 0. Let n = -2.526 - -2.326. What is the second biggest value in -1, n, g, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 28*x**2 + 29*x - 26. Calculate o(-27).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -2 + 3 + 11 + -7 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-x**2 - 3 + 3)*(6*x - 2*x - 3*x) - 2*x**3 + 4*x**3 - 4*x**3)*(14*x**2 - 375*x**2 + 195*x**2).\nAnswer: 498*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -96*l + 185. Give d(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*k - 43*k + 5*z = -77, -173 = -3*k - 4*z. Let f = -47 + k. Solve -m = 2*o, 4*o + 0*m + 24 = f*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127\/366 - 11\/61. Suppose 280 = -2*x - 3*x. Let z = 223\/4 + x. Sort 5, f, z in decreasing order.\nAnswer: 5, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 2*c + 21, 4*c - 1 - 16 = -3*u. Put 2, -2, 3, 153, u in decreasing order.\nAnswer: 153, 3, 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 9, 0.01, 1, -11, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, t: 1, h: 3, x: 5, v: 1}. Give prob of picking 1 v and 1 t.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 11:58 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 + 50*f + 41. What is t(26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (36\/18)\/((-112)\/(-21))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.3  (b) 16823  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/3)\/((-7)\/(28\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(931) - sqrt(931))*-6 + (sqrt(931) + 2 - sqrt(931)) + -3)*-4 + 4 + -4)**2 + 0 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (11 - -2 - (-7 - 0 - 3)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - 7. Let d(m) = m**3 + 9*m**2 + m + 13. Let j be d(t). Suppose j*r - 2*r - 4 = 0. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 21 = 91. Which is smaller: 13 or k?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-4)*r))\/(r\/(r*r**4))*(r\/(r**(-3\/7)*r)*r*r)\/(r\/r**(-3\/4)*r) assuming r is positive.\nAnswer: r**(215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/15)\/(56\/(-140))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 180, 96 in decreasing order.\nAnswer: 180, 96, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11065 + -200?\nAnswer: 10665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8804 is divided by 677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -17*m + 68. Find r, given that 20*r**2 + 32 - 34*r + m*r**2 - 26*r**2 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 5:38 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - z + 29, 0 = 4*z - 12 - 8. Solve -4 = -5*v + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5\/2 + 31\/12. Let v = -1\/24 - x. Let s = -0.9 - 0.1. What is the closest to s in 2\/15, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*w = -3*w - 5115. Which is smaller: 90 or w?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11665 + 41?\nAnswer: -11624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39286 + -21638. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {e: 7, n: 12}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -66930757*o**6 - 36101772*o**2 wrt o?\nAnswer: -8031690840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 9:03 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 5. Let v(a) = -1 + 2 - 4*a + 3*a. Let b(q) be the first derivative of 3*q**2\/2 - 6*q + 1. What is g*b(t) + 5*v(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -3, 2, -4, -0.966 in descending order.\nAnswer: 2, -0.966, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 183 * 33\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-224)\/(-56) + 0\/(2 - 1). Let b be (20\/15)\/(q\/150). Is -6 + b\/8 + (-254)\/(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 3*d**3 + 44639667*d**2 - 12*d - 178558668 = 0?\nAnswer: -14879889, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 21*w**3 - w**2 + 4*w + 1. Is d(2) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5235 - -5233. Is 61 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1287)\/(-6) - 6\/(-4). Suppose 19*j = 13*j + a. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5 = -9*l. Let x(i) = -1. Let w(k) be the second derivative of k**5\/10 - k**3\/6 + k**2 + 8*k. Let j = 50 - 48. What is j*x(r) + l*w(r)?\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 82 = -44. Put k, 4\/5, 0.1 in descending order.\nAnswer: 4\/5, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -39*g**2 - g**2 - 559*g - 15*g**3 + 539*g = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 214\/147 + -6\/49. Suppose h + 12 = 4*h + 3*g, -2*h + 16 = 4*g. Find c such that 2\/3*c**3 - 2\/3*c - 4\/3*c**4 + z*c**2 + h = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -427.7 + 295.8. Let w = 124 + q. Round w to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j**2 - j + 1. Let y(z) = z**2 - 2*z. Let o be y(4). Suppose m = -m + o. Suppose 2*w + 9 + 4 = 5*x, 5*x - 19 = -m*w. Give h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5562*u - 77 = 5555*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4189031310 rounded to the nearest one hundred thousand?\nAnswer: -4189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 3\/5, 0.2, 66\/1049, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -77*i**3 + 2*i + 1. Let m be b(-1). Let s = -914\/5 - -5609\/30. What is the common denominator of s and m\/6*9\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 127.84, -1\/12, -1\/3, 5, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c. Let o(g) = 36*g**2. Give m(o(b)).\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 4*x - 5, 2*x = -3*b - 0 + 13. Solve 14*t - 13*t = -b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1 + 0 + ((-285)\/544)\/((-3762)\/7068) and 4\/33?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 12 - 3. Let r(w) = w**3 - 2*w**2 - 3*w + 1. Calculate r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**3 + m**2. Let k be 34\/(-3)*3*(-1 - 0). Let x = k - 16. Let s = x + -17. Calculate q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p + 9 = 5*t, -p - 3 = 3*t. Let s = 6 + p. Suppose s*z - 20 = 10. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eu when two letters picked without replacement from hyyuuyyeeheepeueeyh?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(75) - -2*sqrt(75)*-2) - (0 + 2 + sqrt(75) + -1)) + -5)**2.\nAnswer: 280*sqrt(3) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2622207, 2622206, 2622203, 2622198, 2622191, 2622182?\nAnswer: 2622171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 3*sqrt(171)*3 + sqrt(171))\/(sqrt(54)\/sqrt(6)*-1).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + y = 2*y + 45, 0 = -4*y + 20. What is the remainder when 34 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36630777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1125 + 32*d - 1139 - 36*d - 96*d to the form w*d + a and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6949625 + 23865012671\/3434. Let r = n + -1\/202. Which is bigger: 0.04 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4331 - -5185. Is y a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of j**2 - 10*j + 18. Calculate q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -1 - 8*l**3 - 5*l**3 - 3*l + 3 + 16*l**3. Let r be y(1). Suppose -16 = -3*q - q. Solve v + q*p = 3, -3*p = -5*v - r*p + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 10*o - 66290 = 0. Factor o + 2*m**2 - 283*m - 25*m - 2936 + 5324.\nAnswer: 2*(m - 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1704 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 605 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2 + 3 - 7 + c + 1. Let w be j(5). What is the nearest to w in 1, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -46*k + 504. What is i(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 + -1441?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 22 = 3*f, 110*o - 112*o - 2*f = 22 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 84 by -42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -6 + 1 - (-9 + (5 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 4 + 2 + 52*f**2.\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 341 and 310?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 9*r**2 + 11*r + 9. Let m be n(-10). Are 1\/18 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -222 + 218. Suppose -2 = -2*q - 0. Sort 2, q, -8, s in descending order.\nAnswer: 2, q, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22898*i**2*m*r + 8*i**2*m*t - 2*i**2*m - i*m*r*t + 80*i*m*r - 5*i*t - 17*m*r*t + t wrt i.\nAnswer: -45796*m*r + 16*m*t - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/64 + -75\/704. Let b be (-7)\/28 - 126\/(-24). Let l(j) = j**3 - 3*j**2 - 8*j - 13. Let c be l(b). What is the fourth smallest value in -2, z, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -372, -14, -4, 10, 8 in ascending order.\nAnswer: -372, -14, -4, -1, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/1888 or -1?\nAnswer: 9\/1888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 0 - 4. Put y, -4, -6, 0 in ascending order.\nAnswer: -6, -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by (-7 - 245)\/(-3) + 2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*o - 10*o + 18 + 5 - 1 as x*o + w and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 55\/(-15) + 6\/9 + -1. Let u(i) = -35*i + 55. Let g(a) = 18*a - 27. Let x(o) = b*u(o) - 9*g(o). What is the first derivative of x(r) wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1626723943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 - 6*v + 5. Let o be l(-5). Calculate the highest common factor of o and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) -4.82  (b) 1  (c) -3  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, n: 5, y: 11, a: 1}. What is prob of picking 3 y and 1 x?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 3. Suppose v = p + 2, -5*v - 30 = -5*p - 8*v. Let h be ((-34)\/3)\/(6\/(-9)). Solve p*m = -a - g, 4*a - 2*m - 1 = -h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*g - 436 + 364 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(7) + sqrt(7) + 4) + -3.\nAnswer: -11 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**5\/3 - 8*k**4\/3 + 8*k**2\/3 + 4*k\/3.\nAnswer: -4*k*(k - 1)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -337, -345, -353, -361?\n\"Answer: -8*q - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3478249070.\nAnswer: 2, 5, 347824907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -99*o*x**2 - 563*o*x + 28*o - 3424*x**4 wrt x?\nAnswer: -198*o - 41088*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10193 + 3481 = 748*u - 7671 - 7079 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -54*k + 56*k - 34, -29 = 2*k + 5*n. Let v = 8 + -16. Let u be (-2)\/10*5\/v. Which is the closest to k?  (a) -4  (b) u  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-7)*q)\/(q\/(q\/((q\/q**7*q)\/q)))*(q*q*q**(-2)*q*q)**(-5\/6))**43 assuming q is positive.\nAnswer: q**(-215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3. Let y = -4 - -5. Let v(j) = -6*j**2 + j. Let q be v(y). Let p(u) = u - 7. Suppose -5*i - 2*i = 14. Give i*p(h) + q*l(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 12*s + 105. Let o be k(-5). Calculate the greatest common factor of 603 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10136*r = 9768*r + 8096 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3826 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of 3*t**4\/4 + 4*t**3\/3 + t**2\/2 + 125. Let q(s) = -5*s**3 - 7*s**2 - s. What is 4*q(m) + 7*w(m)?\nAnswer: m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -4010313 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*q = -7*h - 24, 5*q = 10. What is the smallest common multiple of (3 + 10\/h)\/(1\/6) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -75, -79, -85, -93, -103, -115, -129?\n\"Answer: -m**2 - m - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 17377994 (base 10) to base 11\nAnswer: 989a387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 7*l + 12. Let q be c(-5). Let f(y) = 13*y**2 - 55*y**2 + q - 2 - 2*y. Let r(o) = -2*o**2. What is f(r(v))?\nAnswer: -168*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13912*x + 33*x**2 - 496 + 5*x**3 + 14240*x - 104*x**2.\nAnswer: (x - 4)**2*(5*x - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -69.\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**3 - 2*p**2 - 2*p - 1. Let q be (-8)\/(-12) - (-1046)\/6. Let f = -121 + q. What is the remainder when f is divided by i(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -82.9\nAnswer: -82.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -113.1.\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + -2. Let c(t) = 2*t**2 - 2*t + 2. Let v be c(2). Suppose v + 6 = 4*g. Sort f, g, 0.\nAnswer: f, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 18247 + 46763 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001444936 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4.7, 4, 0.1, -4, 8\/7, 9 in ascending order.\nAnswer: -4.7, -4, 0.1, 8\/7, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000210011120 (base 3) in base 12?\nAnswer: 224589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 4*w = -0*n + 24, 2*n + 4 = 4*w. Suppose -2*u = -0*u - 4. Solve -u*z = -3*a + 1, 8*a = 4*z + n*a + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 4)*(-510 - 408*s + 2134*s + 510 - 22438*s).\nAnswer: -82848*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 568*u**3 - 4*u**2 - 3*u + 6. Let y be l(2). Let f = y - 2069. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((129\/2795)\/(1\/(-5)*1))\/(-3)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -651457, -1302910, -1954363, -2605816, -3257269?\nAnswer: -3908722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**2 - 10*w - 7. Let h(v) = -4*v**2 - 12*v - 8. Let p(k) = -5*b(k) + 4*h(k). Calculate p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3895 - 55712172292.\nAnswer: -55712172291.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + 0. Let m(a) = a - 3. Let r be m(i). Let y(n) = -r + 2*n + 4 - 3*n. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (-124)\/(-93)*19*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-15)\/6 - 1464\/(-192). Is q at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 167 = -4*y. Let a = -108 + y. Let m = -95 - a. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4280965 (base 12) to base 16.\nAnswer: -c0655d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/52 - (-7695)\/25090 and 57\/2.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 10*u + 8*u - 2, -5*v + 5*u + 10 = 0. Let q(i) = -i - 4*i + 9*i**2 + 4*i - 2. Calculate the remainder when q(v) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o - 6 = 2*l - 31*o + 24*o, 0 = -5*o - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -3. Suppose -n + 0 = k + 3, -4*n = k + 12. Suppose -2*s - y*s = k. Solve 2*b = -2*b - 12, s = 4*u - 5*b - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/((-49)\/14)*18\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 44, 74, 94, 98, 80?\n\"Answer: -v**3 + v**2 + 34*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of p**4\/3 - 10*p**3\/3 + 12*p**2 + 749*p. What is x in k(x) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5*t - 6*t + 0*t. Let u(l) = 3*l - 3*l + 3*l**2. What is j(u(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 320 = 3*n, 5*r - 3*n - 480 - 302 = 0. Find the second derivative of -37*p**3 + r - 3*p**3 - 17*p**3 - 2*p - 171 wrt p.\nAnswer: -342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8909 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/90*-5*2943\/218?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11161 by 1862.\nAnswer: 11161\/1862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - 16) + (-4 - (-9 + -9))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (161 - 38591\/298) + 15\/2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.09745l to millilitres.\nAnswer: 59097.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -3496082.\nAnswer: 1\/1748041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 36 = -5*m, -4*w + 2 = -5*w. Find the second derivative of -11*f**3 - 68*f**4 + f - 4*f + 63*f**4 - m*f - 2*f wrt f.\nAnswer: -60*f**2 - 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*n = v + 8, 5*n = -5*v - 25. Which is the biggest value?  (a) 0.6  (b) -2  (c) 18  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -12*c - 3*c - 54 + 21*c. What is the units digit of d(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + -4 - -4 - -7) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -7*r**2 + 53*r. Let p(h) = -1289*h**2. Give u(p(z)).\nAnswer: -11630647*z**4 - 68317*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.8098104 - 4612.2201096. Let t = -4641.0299217 - g. Let u = t + 26. What is u rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (73 - 46 - (9 + -7)) + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/12, 2, 0.3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mjejememmejmm. What is prob of picking 1 e and 2 m?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 237.4319796 rounded to one dp?\nAnswer: 237.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 179 = -43. Let z(j) = -j**2 - j + 7. Let i(k) = 3*k**2 + 3*k - 20. Determine o*z(a) - 6*i(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.783 - -0.8798. Let y = 0.09681402 - g. What is y rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4287 divided by 3\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -587 + 589.83. Let p = -2.830113 + d. Round p to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12*((-2)\/(-18))\/(27\/(-1674))*(-15)\/(-20)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 3:58 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*j = 16495 + 3109. List the prime factors of j.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 964*p**2 + p. Let z(x) = 9*x**2. Calculate m(z(h)).\nAnswer: 78084*h**4 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) + 3*sqrt(65)*4)*-1)\/(sqrt(180) + sqrt(5) - sqrt(20)\/sqrt(4)*1) + 0.\nAnswer: -13*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*g**2 + 93*g + 783 wrt g?\nAnswer: -30*g + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.03, 0, 189, 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = l - 190, 126 = -4*r - 4*l - 230. Let o = r + 89. Let m be (2\/o)\/(5\/(-960)). Calculate the greatest common factor of m and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-20))\/(3\/4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*x = 4*x. Let v(z) = z**2 + 2 - 2 - z + z**3. What is v(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1483076?\nAnswer: 2, 7, 52967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 PM and 12:45 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42 - -18) + -69 + -3 + 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -310*r**2 - 4 + 235*r**2 + 302*r**2 as p*r + h + m*r**2 and give m.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1324 + 4086. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.07 - -0.28. Let v = x - 6.21. Let t = -777 + 776.8. Which is the second smallest value?  (a) 5  (b) t  (c) 2  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -109.977 to the nearest integer.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -71*g - 26*g**2 - 700 + 701 + 0*g**2 + 14*g**2 to the form s*g + u*g**2 + p and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 333767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -177*p**2 + 24597*p + 838. Calculate r(139).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 4)*(3*j - j + 0*j) to the form m*j + o and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(4\/19))\/(c*((c**(-7)\/c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(167\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -14*g + 1079. Let h be j(75). Let c(m) = m**2 - 22*m - 195. Give c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 1 - 3*g**2 - 5*g**3 + 4*g**2 + g**2 - 2*g. Suppose s - 4*l - 17 = 0, -3*s = -2*l + 7*l + 17. Give d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.2, -29, -5 in descending order.\nAnswer: 1, 0.2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 10*a - 4. Let m = 622 - 620. Suppose -7 = 3*j + 55*y - 60*y, m*j + 38 = -5*y. Calculate o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 30*j**3 + 11*j**2 + 14*j - 26. Let f be o(1). Solve -42*r + 26 = -f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x**15\/x)))\/x**28*x**22*x*x*((x**(-19)\/x)\/x)\/x assuming x is positive.\nAnswer: x**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - 21\/7)*0. Let f(p) = 15 - 1 - 2*p + 46. Is f(z) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2*m + 24 = 8, 0 = -t + 3*m + 2. Let n = t + 3. Which is bigger: n or -7\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -4574\nAnswer: 4\/2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35*p**5 + 120*p**4 + 22383*p - 2.\nAnswer: 700*p**3 + 1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166140 is divided by 53643?\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 3730, 9.\nAnswer: -1, 4, 9, 3730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 7. Let z = -3 + w. Let i = -3 + 5. Solve n + 0*u - 2*u = -7, 0 = z*n + 2*u + i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1535176 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 3541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 6*j + 9. Let t(f) = f**2 - 10*f + 7. Let p be t(10). Let u be c(p). Solve 2*g + u*l + 4 = -g, -2 = -2*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 124461\nAnswer: -124462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -f**5 + 1086*f**4 - 295841*f**3 + 22669904*f**2 + 226265520*f + 203298688 = 0?\nAnswer: -8, -1, 188, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 2:20 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**2*o)**32)**(3\/29)\/(o**(-1\/3)*o**(-2\/9)*(o**0)**(1\/2)) assuming o is positive.\nAnswer: o**(2737\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -54, -112, -170, -228, -286?\n\"Answer: -58*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 - 91*t + 544. Let u be g(7). Let s = 3.8 - 4. Which is the closest to 0.1?  (a) u  (b) s  (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -24*u + 259. What is the remainder when 159 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 103, 1\/4, 132 in decreasing order.\nAnswer: 132, 103, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -4\/4912427?\nAnswer: -4\/4912427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + 0*j**3 + 3*j**3 + (2*j - 2*j + j)*(-2*j**2 + 0*j**2 + j**2))*(-2*j + 3*j - 6*j).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 14*j**2 + j + 1. Let n be p(-1). Suppose 0 = -v + 9 + n. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11183 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add -12.9 and -2140.5.\nAnswer: -2153.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, n: 2, b: 6, e: 6, d: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 t, and 1 k when three letters picked without replacement from htktt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -260*s**2 - 330*s**2 + 572*s**2. Let k(a) = -13*a - 1. Calculate g(k(f)).\nAnswer: -3042*f**2 - 468*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 141841751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.027 * 10.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 706595 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 4:08 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -11*o + 30. Suppose 0 = -10*p + o*p + 2132. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4612 a factor of 725023194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/8 of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-58 - -70) + (2 + -22 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 199 + 31 = 5*i, -188 = -4*i + 3*v. Solve -18*u - i = -8*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1396, -5596, -12598, -22402?\n\"Answer: -1401*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 62, 46, 28, 8, -14?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22\/10 + 5\/(-25). Suppose h*t - 4 = -4*p, 0 = 4*t - 2*t - 3*p - 11. Suppose 3 + 69 = t*q. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.5  (b) 2489.2  (c) 3  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 10:27 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*o + 0*o + 2*o + 0*o + 2*o - 4*o + (-3 + 2 + 3)*(1 - 1 - 2*o) + 3 - 2*o - 3 - 3 + 3*o + 6 - 4.\nAnswer: -7*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -12. Let i = d + 2. Let c = i + 6. Solve c - 9 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113718 - 56862 - 56856 - 12431*z.\nAnswer: -12431*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(28)\/sqrt(4) + 3 + (sqrt(847)*-1 + -3 - sqrt(847))**2 + (((sqrt(196)\/sqrt(7))\/sqrt(4))**2 - (sqrt(7) + sqrt(35)\/(sqrt(5) + sqrt(180)))) + 3.\nAnswer: 923*sqrt(7)\/7 + 3414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -14068, -28079, -42066, -56017, -69920, -83763?\n\"Answer: 2*s**3 - 14025*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 6. Let s be l(8). Let b = 7 + s. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8812.697468 + -8854.69746713. Let t = -43.042 + 1.042. Let f = k - t. What is f rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01115 rounded to four dps?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228147 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*t = -45467464 + 45453309 for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -84, -159, -260, -393, -564, -779?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2957724 + -149.\nAnswer: 2957575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7, 10, 13, 16, 19, 22?\n\"Answer: 3*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 6) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3012235 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and -601.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y - 2*y**4 - 39 + 39 + 47*y**2 to the form w*y**4 + c*y**2 + t*y**3 + q + m*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -372*d + 29256 - 14376 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.3 + -1.1. Let s = 4 + m. Let h = -2 + s. Is h > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -12*d**5 - 3088*d**4 - 182252*d**3 - 48072*d**2 + 729200*d + 241696 = 0.\nAnswer: -166, -91, -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8 + ((-3130)\/(-350) - 17). What is the nearest to 1 in 0.005, i, -3?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35877.5159 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4157*j = 27382 - 210290 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 5*y + 240340 = 0, t - 3*y + 6*y - 48068 = 0. Let q = -6729479\/140 + t. Let z = q - -3\/28. Which is the nearest to 2\/5?  (a) z  (b) 4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45055849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7288 and 2355.\nAnswer: -17163240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*d + 2 = 0. Suppose 4*k + 15 = -3*l, 10*l + 25 = 5*k + 5*l. Let b be 264\/(-308)*(-1)\/((-6)\/(-28)). Sort b, d, k in ascending order.\nAnswer: d, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1032179, -2064356, -3096533?\n\"Answer: -1032177*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205\/7 + 6\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -3. Let s = 3.6 - 4. What is the nearest to v in 4\/7, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 1\/6, 43\/5, -2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in -3, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 417934.2 minutes in milliseconds?\nAnswer: 25076052000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 11*r - 9. Suppose 0 = -4*z - 4 + 28. What is the tens digit of x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 450 is divided by 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 1344?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 2:29 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -113, -177, -223, -245, -237?\n\"Answer: s**3 + 3*s**2 - 80*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2073 + 1215 = 78*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4398 - 5191. Is -0.2 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -2*u + 10, -58*v - 4*u - 3 = -59*v + 1 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -27*u + 11. Let b be (2*3\/(-6))\/((-7)\/(-63)). Is c(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 18*t + 89. Let l(w) = -w**3 - 6*w**2 - 9*w - 37. Let s be l(-6). What are the prime factors of m(s)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14150 by 50.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 8*y**2 + 2*y - 9. Let k be a(8). Suppose -n - 13 = -k. Let f = 9 + n. What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109311.94 minus -8647?\nAnswer: 117958.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -16. Suppose i*b + 120 = 714. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -113 * 291.\nAnswer: -32883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 1 - 3. Let q = -507.1 + 507.4. Put q, c, -8 in ascending order.\nAnswer: -8, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 8*g - 6. Let t(f) = 1 - 4*f + 0*f + 3*f. Calculate r(b) + 6*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)*1)\/(sqrt(77)\/(sqrt(66)\/sqrt(6))) + (-2*sqrt(12) - (sqrt(27) + 0)) + (sqrt(363) + sqrt(363) + -1 - (sqrt(3) - sqrt(12)\/sqrt(4))*3).\nAnswer: -1 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 384182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 4:13 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2531293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.03 + 4. Let o = j + -0.37. Let i = 2.6 - o. Do -1\/2 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-12)\/9*(-765)\/(-102)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -1, 33, 1142 in ascending order.\nAnswer: -14, -1, 33, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**3*x + k**3 - 2249*k**2*x + 72*k**2 - 5*k*x + x + 708690 wrt k?\nAnswer: 12*k*x + 6*k - 4498*x + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 370 = 2*g, w + 5*g - 21 = 337. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 0.6  (b) -2\/7  (c) -2  (d) 19737  (e) 0  (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002155988 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 less than 51.486193384999?\nAnswer: 56.486193384999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 65 = 3*u, -u = -3*i + 4 + 11. Which is greater: -20 or u?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14 - 170556455?\nAnswer: -170556470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12.09?  (a) -0.3  (b) -2  (c) -0.01  (d) -3  (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5448526372.\nAnswer: 2, 10979, 124067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5) + 0 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -15.9999554. What is m rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 2. Let y be 14\/4 + t\/(-6). Suppose -4*r + y*r - 4*f - 294 = 0, r = -f - 306. Round r to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 706 - 3639. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 6*o**2 - o - 1. Let m be i(5). Let w be 1\/(-4*(-1)\/64). Suppose 0 = v - m - w. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a = 22 + 53 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3536992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amtmmmmmtmavmmmmmmta. Give prob of sequence ta.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -17 + -4204?\nAnswer: -4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108043 is divided by 1384.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-13) - -1*93\/13. Solve 23 - d = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, a: 3, u: 1, r: 4, s: 2}. What is prob of picking 2 a and 1 i?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from huuhjuy. What is prob of sequence hhu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {d: 1, k: 2, v: 2, h: 1, u: 2, r: 5}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 8, 3.4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, -1.7, 3\/2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -1 + 5, m + 13 = 4*h. Let i(z) be the third derivative of -h*z**2 + 0*z + 1\/24*z**4 + 5\/6*z**3 + 0. Calculate i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**3 - 2175*f**2 + 393129*f + 395307 = 0. What is f?\nAnswer: -1, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84349?\nAnswer: 84349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 784\/(-1212)*(-1 + 4). Let j = -34471176\/7 - -62668517321\/12726. Let l = g + j. Find the common denominator of -11\/14 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -18*h**2. Let o(c) = -4*c**2 - 3*c. Let v(a) = 11*a**2 + 8*a. Let l(n) = -8*o(n) - 3*v(n). Calculate u(l(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 10 = 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.36  (b) -66  (c) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*(sqrt(192)*6 + -1 - ((sqrt(192) + sqrt(192) + 3 - sqrt(192)) + 2 - sqrt(192) - sqrt(192)))**2.\nAnswer: -8064*sqrt(3) + 113328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 2*b. What is the third smallest value in 3, 2\/3, b, 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hkh when three letters picked without replacement from {z: 1, y: 5, k: 1, v: 7, h: 2}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*1*-5)\/(1*sqrt(512)) + 0.\nAnswer: -5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 9, 0, -8\/7, -1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 253101542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*-1)\/sqrt(11)*-3.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0047039536 rounded to 5 decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 22. Suppose 0 = 4*q - d - 10, 0 = u*q - 0*q - 5*d - 2. Factor 4\/3*a + 0 + 4\/3*a**2 + 1\/3*a**q.\nAnswer: a*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4928 and 1568.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (8 - ((11 - -2) + -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36, -143, -322, -573?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i - 6. Let d(l) = 5 - 58*l**2 + 2*l**3 + 3 - 66 - l + 3*l. Let v be d(29). What is c(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*r - 43*r + 155*r - 46*r - 35*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/30 and -137\/936.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 46287626 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 6*t + 14. Let u be c(8). Suppose -u*a + 60*a = 10. Sort 3, -4, a.\nAnswer: a, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/144*(-9)\/(-12)*(-16)\/22.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of 29*f**8\/20160 + f**6\/240 - 2*f**5\/15 - 4*f**2. Let h(y) be the third derivative of j(y). Is h(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 5*l + 185, -120 = -2*y - l - 3*l. Suppose -g + y = -2*g. Let s = -50 - g. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 180 + -179.6. Which is the nearest to 0?  (a) -1\/2  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0 = 5. Let u be 60\/(-21) + 3 + (-6)\/42. Suppose u = 13*p - 3*p + 40. Put l, p, 2, -1 in descending order.\nAnswer: 2, l, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372331 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {d: 1, x: 1, m: 2, t: 5, w: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 35\/20856294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3513223 (base 7) to base 14\nAnswer: b6783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 210.13 - 210.071963. Let v = 0.011 - 0.069. Let l = s + v. What is l rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 22, 36, 62, 106, 174?\n\"Answer: l**3 + 7*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 550 - -0.4\nAnswer: 550.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 20 = 2*v, -5*m + 9 = -4*v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 862840054?\nAnswer: 2, 79, 1117, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 7 = -k, -5*o - 5 = k - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/11, 2, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from bbxbzxbxnzbbxb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-162)\/261)\/(85\/(-2465))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*t + 0*t + 0*t)*(3*t**2 - 3*t**2 - t**3).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 36 = -5*f, 86*x - 3*f = 82*x + 16. Solve -4*n = -13*g + 8*g + 24, -x*g = 2*n - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67558?\nAnswer: 2, 17, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -676*q - 122963. Calculate v(-184).\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1 + 6*y - 1.\nAnswer: 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 302, -3, -0.3, -34 in descending order.\nAnswer: 302, -0.3, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1104)\/10)\/((-332)\/10790). What is r rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, u: 5}. Give prob of sequence utu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -36647.\nAnswer: -7329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14163292517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -131*w - 5. Let f be l(-1). Let d be 10\/(-5) - -2*2. Suppose 0*o - d*y - f = -3*o, 5*o - 197 = -y. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 28, 57, 98, 151, 216?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.02, 3\/4, -0.1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 2 - (-34)\/2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (99\/9 + 2)*(-2 + 159)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(2736)*-1 - (3 + 5*(1 + sqrt(19))**2 + sqrt(19)).\nAnswer: -35*sqrt(19) - 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2608.253 weeks?\nAnswer: 18257.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -373 (base 8) to base 4.\nAnswer: -3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*80313\nAnswer: -32125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 4*o**2 + o + 1. Let a(h) = h**3 - 38*h**2 + 74*h - 68. Let k be a(36). Give d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 1066102?\nAnswer: -1066105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/4 in 3, 2, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4664 - -7577?\nAnswer: 13352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062449594 bigger than 1062449593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (14246\/(-408) + 35)\/(4\/(-18))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 5, -1\/11, -16.9631?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 347436 divided by 38604.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*d, d = 2*h + 3*d - 24. Let x(g) = g**3 - 8*g**2 + 5*g + 10. Calculate x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5459 is divided by 1109?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19 * -144.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + h - 48 + 11, -h - 3 = 0. Let j be 120\/36*(12\/(-5))\/1. Let b = o - j. Are -1\/2 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 - x**2 - x. Let c(i) = 3*i**3 - 5*i. Let o(q) = -q - 2. Let n be o(-7). Let f(g) = n*t(g) - c(g). Find the third derivative of f(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -28*a**3 + 1595*a**2 + 226*a - 9641. Give y(57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sbsbsb. Give prob of sequence sbb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31509 and 827403?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/6)\/(40\/30*28\/42).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1226 is divided by 407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 759 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 52*y**3\/3 + y**2 - 28*y - 92. Find the second derivative of n(u) wrt u.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(15\/4))\/r)\/r**(-1\/10)*((r*r\/r**(-28)*r*r)\/r)**(-1\/39) assuming r is positive.\nAnswer: r**(-3467\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004317085 to 6 dps.\nAnswer: 0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 336*i + 370. Determine r(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5073021103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5823354 + -0.2.\nAnswer: 5823353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/81, -0.05939, 0.5, 3 in increasing order.\nAnswer: -0.05939, -2\/81, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-1\/7)*s**(-17\/6))\/(s*s\/(s*s*s**10)*s*s**(-42)))**41 assuming s is positive.\nAnswer: s**(84419\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - 3*z - 3*z)*(-2 - 2 + 2).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 82*s - 2. Let p be c(3). Suppose 9*u - 4*x - 176 = 6*u, -3*x = -4*u + p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19379, -37466, -55557, -73652, -91751?\nAnswer: -109854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3049 - 6*t - 12*t - 3054)*(-571*t + 571*t - 19*t**2).\nAnswer: 342*t**3 + 95*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10055321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tr when two letters picked without replacement from trrrrtrr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 933*y**2 + 96435*y - 95499.\nAnswer: -3*(y - 81)*(y - 1)*(y + 393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 215314 - 1076462\/5. Factor a*y + 4\/5*y**2 + 0.\nAnswer: 4*y*(y + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 10\/3*s**2 - 1\/3*s - 3*s**3.\nAnswer: -s*(s - 1)*(9*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 11:50 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**3\/5 + b**2\/5 - 2*b\/5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 5*a = 80, 428*t + 4*a = -442*t + 875*t - 76 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(91) + sqrt(91))*2 + (sqrt(91) - ((sqrt(91) + (sqrt(91) - (sqrt(91)*1 + sqrt(91))))*-6 + sqrt(91))))\/((3*sqrt(2016))\/sqrt(8)))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1487.757 to the nearest 10.\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -473275\/38 - -12452. Find the common denominator of (-66)\/(-704)*(-166)\/(-3) and w.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11647?\nAnswer: 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/(-5) + 11 + -4. Let h(q) = 38*q + 28*q - 67*q + z. Suppose -3*d = 6 - 15. Calculate h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 2072  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -202193613963*o**2\/4 + 36605151*o\/2 - 6627\/4 = 0.\nAnswer: 47\/259611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2*t - 2 + (-1 - 2 + 0)*(45 - 45 - 6*t) - 6*t - 2 + 4*t + 0*t.\nAnswer: 14*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = u + 3*c, 6*u + c + 18 = u. Let g be 0 - 2\/(u\/6). Suppose -g = -4*h + 9. Solve -4*p - 19 = 3*d, -21 = 5*d + h*p + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49441 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 3*j**2 - j - 2. Let u be f(-3). Suppose 4*x - 13 = -u. Calculate the remainder when x is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 270081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3232, 3224, 3212, 3196, 3176, 3152, 3124?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - ((-21)\/14 - (-3)\/6). Suppose 3*i = -5*l, -4*l = -5*i - c*l. Let o(x) = -x**3 + x**2 - x + 1. Give o(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -24*h + 1180. Give w(37).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -883804 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 647 = 3*g + 2*g + 3*y, 0 = 2*g - 3*y - 242. What is the second derivative of 127 + 17*q**2 + 11*q - g wrt q?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00865 rounded to 4 decimal places?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -21b (base 14) in base 13?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)*1*3 + sqrt(10))\/sqrt(5).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u**(2\/7)\/u))\/u**(-7))\/(u\/(u\/(u\/(u**(-2\/7)\/u)))*u*u**(-5\/2)\/u))\/(u**(-2\/13)*u\/(u*u**4*u))**(-24\/5) assuming u is positive.\nAnswer: u**(-15297\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 3*r + 6*r)*(-r + r + 2*r) + (-4*r + 5*r + 2*r)*(-4*r - r - 20*r).\nAnswer: -73*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 5.04. Let i = 10207\/13 + -785. Which is the closest to v?  (a) 3\/2  (b) 5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 2*p**5\/5 + 7*p**4\/3 - 20*p. What is the third derivative of v(q) wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -337*i**3*o**3 + 2*i**2*o**2 + 33*o**3 wrt i?\nAnswer: -2022*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 44*q**2 - 3*q + 3. Let l(r) = r**3 + r**2 - r + 1. Suppose -10*d + 208 = -98*d - 56. What is d*l(p) + b(p)?\nAnswer: -2*p**3 + 41*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 500450.2 nanometers to centimeters.\nAnswer: 0.05004502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -11952, 1036 in descending order.\nAnswer: 1036, 0, -11952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -143 in 0.5, -6, -0.25, 3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = -2*z + 10*c - 8*c, 0 = 2*z - 5*c + 100. Let i = z - -715. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**4 + 15 + 5*w - w**3 - 2*w**2 - 2*w + 0*w - 14 in the form x*w + j + p*w**3 + t*w**4 + l*w**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2226 - -2226.1. Let a = -743 - -745. Let c be (-2)\/5 + 4\/10. What is the closest to c in -4, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31781424.1 and 0.4.\nAnswer: 12712569.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-10)*(-10)\/4)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17618494, 17618495, 17618496, 17618497, 17618498?\nAnswer: 17618499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = k - 6*w + 13, 2*k - 5*w = -1. Let s(r) = -2*r**3 - 4*r**2 - 2*r - 3. Calculate the remainder when s(-3) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 414558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2. Let s(t) = 231*t**2 - 3*t + 129. Give s(g(v)).\nAnswer: 231*v**4 + 3*v**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m + 11. Suppose -3*w - 2*b + 4*b = -20, -5 = 5*b. Let q be t(w). What is the second derivative of -15*j + 35*j**5 + q*j**5 - 73*j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 + 7*b - 5. Let s be d(-8). Solve -s*w + 2 = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1214974 at most -1214974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 5)*(u**4 + 2*u**4 - 5*u**4) + 0*u - u**4 + 0*u + 4*u**3 - 4*u**3 - u**4 + 4589*u**4 - 1461066*u**3 - u + 1461066*u**3 + u.\nAnswer: 4591*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bkb when three letters picked without replacement from hbbkbkkhbkkkhkkkbhk?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 22 + 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159610 + 4*j + 478859 - 159622 - 159627.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1879 + 685 = -398*d. Solve -3*o = -d*r - 21, 3*r + 11 = -9*o + 10*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, c: 4, j: 7, d: 3}. What is prob of sequence ccdd?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*v + 11*v**3 + 11*v + 11*v + 14*v**3 wrt v.\nAnswer: 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.609 + -5.8847. What is y rounded to one dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 455 and 216762?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - 0.1. Let a = -13 + 8. Let h = 6 - 3. Put r, h, a in increasing order.\nAnswer: a, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 84*u - 1541 + 386 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5 = 5*q, 6*q - 3*l - 15 = 3*q. Suppose 0*h = 2*h + 3*c + 2, 0 = 5*h + c - 8. Solve -2*i + z - 33 = -4*z, -h*z - 2 = q*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*z - 3*z + 4*z)*(0*z**3 + 0*z**3 + z**3).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l + 5. Let u be m(-3). Does 21 divide ((-116)\/u - 1)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14990000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 11:49 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 3*v + 30, 5*v - 120 = -18*u + 14*u. What is the second derivative of -152*o - 52*o + 89*o**4 + u*o**4 wrt o?\nAnswer: 1428*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -210, 29, 16, 1, 4, -1 in decreasing order.\nAnswer: 29, 16, 4, 1, -1, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 709944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -27348, -27335, -27322, -27309, -27296?\n\"Answer: 13*o - 27361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) - (sqrt(288) - (sqrt(288) - (-4*sqrt(288) - sqrt(288)) - sqrt(288)))))*2 + sqrt(288))\/sqrt(12))\/(sqrt(588) + sqrt(588)*-2*6).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1735210 (base 9) to base 11.\nAnswer: 601538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -4*i**3 + 4*i**2 - 4*i + 4. Let y be o(3). Let l = -58 + 269\/4. Calculate the common denominator of l and 1\/5 + 391\/y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -35 + 1 - 73 + 25 - 3*s - 4*s**3 wrt s.\nAnswer: -12*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4 = 2*d, 0*d - d = 2*b - 3. Suppose -o = 4*z - 6*o + 4, b*z + 3*o = 20. What is the third derivative of 6*f**z + 5*f**2 - 2*f**2 - 4*f**4 wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -11*g**2 - 2*g. Let x(q) be the second derivative of q**3\/6 - 13*q. What is j(x(k))?\nAnswer: -11*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*u + u**4 + 25*u - 20*u**2 - 3*u**4 + 1 in the form c*u**4 + q*u**3 + d*u + s*u**2 + l and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 - 5*b + 2. Let n be k(5). Suppose -n - 18 = -4*d. Calculate the remainder when (2 + -7)*68\/(-20) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 * 6009\nAnswer: -84126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**4 + o**3 + o**2 - 1. Let x(f) = 31*f**4 + 2*f**4 + 8*f**2 - 24 - 9*f**2 - f**3. Let y(i) = p(i) + x(i). What is the derivative of y(c) wrt c?\nAnswer: 136*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 - 32 - 355*q + 20)*(22 + 6 - 9) to z + w*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, 263, 1026, 2509, 4946, 8571, 13618?\nAnswer: 20321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 238233 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 71*t - 3. Let s(r) = r - 3. Give 3*s(p) - u(p).\nAnswer: -68*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-2 + (-5)\/((-20)\/16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**2 + 4*g - 2. Let m(w) = -4*w**2 - 8*w + 4. Let y(i) = -6*m(i) - 11*r(i). What is the units digit of y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 5*n + 12 = 0, -2*x + 6 = -16*n + 20*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/2010 and 63\/80?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 583 and 2028999.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 4*x**2 - 4*x + 2. Let t be h(-4). Let q = 18 + t. Calculate the remainder when q is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1400904462 divided by 6?\nAnswer: -233484077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 - 4893\/(-231) - (-193235)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -3*k**3 - 2*k**2 - 3*k - 2. Let i be b(-1). Let w = 0.9 + 0.1. Are i and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - 5*x - 1. What is the smallest common multiple of 2*(-9)\/6*-1 and y(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 5*b**4\/4 - 15508*b. Let l(d) be the first derivative of d**2 - 4. Determine l(c(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*l*o**2 + 118*l*s - 2*l + o**2*s with respect to s.\nAnswer: 118*l + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 40*c - 1. Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 698454.7g to micrograms.\nAnswer: 698454700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -7. Let u(c) = c**2 - 4*c + 2. Let b be u(4). Solve b + v = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2647940.\nAnswer: 2, 5, 43, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -642 divided by 3.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c - 2. Let r(i) = -i**2 - 6*i + 5. Let b = -80 + 75. Calculate b*h(m) - 2*r(m).\nAnswer: 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 482*s - 507 = 981*s - 494*s - 4*k, -6 = -2*k for s.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 292981 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (576*b + 677*b + 417*b)*(-3*b**2 + b**2 + 0*b**2) as a + s*b + g*b**2 + l*b**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -5*j - 1. Let l(a) = 5*a. Let v(k) = -3*l(k) - 2*y(k). Let o(u) = 5*u - 1. Suppose 250 = -117*p - 101. Give p*v(d) - 4*o(d).\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -14082 + -7?\nAnswer: -14089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -6. Suppose -5*f = -0*f - 15. Suppose f*b - 4 = 5. What is the third smallest value in b, 0.2, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = 14*i + 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4 + 0. Let q = 362470 - 362470.399994. Let x = b - q. Round x to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -7*w**2 - 4*w. Let h(s) = -8*s**2 - 5*s. Let n = 21 - 16. Calculate n*g(m) - 4*h(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 7:35 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 4*a - 16 = 0, -5 = -14*i + 13*i + 2*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 9*v**2 - 18*v + 20. Let j be a(-10). Suppose 0 = -64*t + 61*t + j. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 636, 1147, 1646, 2127, 2584, 3011, 3402, 3751?\nAnswer: 4052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 4*b + 6059992, 6 = 3*b - 0*b. What is r rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 3*g + 4*g)*(g - 2*g**3 - g) + 3*g**4 - 3*g**3 + 3*g**3 + 3*g**4 + 0*g**4 + 0*g**4.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h + 3. Let t(s) = -6 + 3 - 5*s + 2*s. Let v(x) = -32*x**2 + 99*x - 12. Let l be v(3). What is l*t(p) - 4*z(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/3*-1*6\/(-12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3216 - 1916. List the prime factors of c.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -b**7\/1260 + b**5\/60 - b**4\/18 - 2*b**3\/3 - 2. Let h(s) be the third derivative of n(s). What is w in h(w) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15677 + 15651.8. Put -1\/2, -3, -3\/7, -2\/3, x in ascending order.\nAnswer: x, -3, -2\/3, -1\/2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-18) + (-15)\/((-945)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(136)*2)\/(sqrt(32)\/(sqrt(20)\/sqrt(5) + sqrt(4))) + (sqrt(17) - sqrt(187)\/sqrt(396)) + sqrt(1377) + sqrt(1377) + 2 + -2)**2.\nAnswer: 1122833\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 100 - 59. Suppose -38*p = -n*p + 33. Let s = -12 + 21. What is the least common multiple of p and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 894219 times -100?\nAnswer: -89421900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 108108379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) 1\/2  (c) 0  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 100100100 (base 3) to base 9\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uwwwwuwwwu. What is prob of picking 2 w and 1 u?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -6\/54901079  (c) -1  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 924 and 2438051.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 + -134 + -9 + 18 + 18?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49995 and 8766901.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -4*b**3 + 6*b**2 - 4*b - 1. Let x(d) = d**2 - 1. Let f be x(2). Let s(m) = -5*m**3 + 6*m**2 - 4*m - 1. Let t(i) = f*s(i) - 4*r(i). Give t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.97*7.67\nAnswer: -7.4399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 704004975 and 27?\nAnswer: 704004948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 329*p - 39 = -663*p + 347*p, 4*p + 12 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43955.\nAnswer: 5, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 856 bigger than 858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 7*t**2 - 2*t + 11. Let n(i) = -29*i**2 + 7*i - 43. Let y(f) = 2*n(f) + 9*s(f). Let w(j) = 2*j**2 - 2*j + 6. Determine -13*w(c) + 6*y(c).\nAnswer: 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 29 = -39 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(18\/99 - (-52)\/(-44))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.2 + -11. Which is the third smallest value?  (a) 1  (b) v  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148274196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9262 divided by 248\nAnswer: 4631\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*((h*h*h**(-2\/19))\/h)\/h*((h\/(h**5\/h))\/h)\/h*h*h**6*h*h**(18\/11))**(-45) assuming h is positive.\nAnswer: h**(-61425\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 37*r**2 + r - 3. Suppose 0 = -242*f + 196 + 288. Give n(f).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 - 2 - 4)*(3*m - 2*m + 2*m) + 2*m - 2*m - m + 158*m - 1647*m + 214*m - 1)*(-2*m + 2 - 2) to the form h*m**2 + t + v*m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + (2 + sqrt(17))**2 + 3) + -1.\nAnswer: -67 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*o - 7 - 71, t + o = 20. Suppose -4*j = -8*j + 232. Let s = -38 + j. Calculate the least common multiple of s and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9404 and 2388550172.\nAnswer: 9404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70706102?\nAnswer: 2, 31, 1140421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20469 is divided by 295.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 718 a factor of 2495777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -938 - -930. Which is greater: g or -67?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 68.5 - 69. Let k = -2.3 + 0.3. What is the nearest to -1 in d, k, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(2299))*1 + (sqrt(2299) - -2*(-4 + sqrt(2299))))**2 + -5.\nAnswer: -528*sqrt(19) + 36815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 s when three letters picked without replacement from {a: 4, f: 1, t: 2, s: 2, m: 1, o: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-120))\/(45\/189)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -95, 28, 672, 3 in descending order.\nAnswer: 672, 28, 4, 3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 7) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 2*r - 4*r**2)*(-4 + 3 + 3) + 2*r**2 + 0*r**2 - r**2 + (0*r**2 + 2*r**2 - 3*r**2)*(-4 + 4 - 2) + r**2 + 4*r**2 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 28*s**2 - 31*s + 111. Let i be l(27). Which is the closest to 1?  (a) 3\/10  (b) 2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 193 - 1314464165.\nAnswer: -1314463972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/28 + (-69)\/21. Let b(l) = -4*l**2. Let y(j) = 3*j**2 + 6*j**2 + 2*j - j - 10*j**2. Calculate t*y(x) + b(x).\nAnswer: -x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 26943622 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/44*(-4)\/(-3). Let r = 6 - 2. Sort r, -2, w.\nAnswer: -2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.137 and 25.5.\nAnswer: 25.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9 + -2 + (1 - 3) - -41. What is the greatest common divisor of c and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 equal to 3163346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -281920 + 103220 = -100*m. List the prime factors of m.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131341386 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -44*f - 2 + 1 + 42*f + (-4*f + 0*f + 2*f)*(-2 - 1 + 0).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-42)\/68 + 2\/4. Let g = 13 - 8. Let v = 8 + -4. Which is the smallest value?  (a) g  (b) d  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-5) - (-104)\/40\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/27392 and 1\/704.\nAnswer: 301312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 71\/4. Sort 3\/2, 4, w, -4 in increasing order.\nAnswer: -4, w, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, a: 1, j: 11, y: 5}. Give prob of sequence aj.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 147779 - 0.363932.\nAnswer: 147778.636068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.834?  (a) -0.3  (b) -17\/6  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3395.\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18708 + 11550 = 9*w. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 0 + (-2 + 2 - 2)*(4 + 0 - 5) - 1 + 4 - 1)*(-29 - 1706*o + 4534*o + 30).\nAnswer: 14140*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 22.91.\nAnswer: -4.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3040 = -139*p + 44*p. Calculate the remainder when 1407 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 100, 370, 806, 1414, 2200, 3170, 4330?\nAnswer: 5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2700 and 534?\nAnswer: -1441800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -21112*l**3 - 3*l**2 + 92*l + 95. What are the prime factors of o(-1)?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**2 + 21504*s - 38535168 = 0.\nAnswer: 3584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(1792) + sqrt(1792)*1 - sqrt(1792)) + sqrt(1792) + (-1 + sqrt(1792))*2)**2.\nAnswer: 128*sqrt(7) + 28673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/18 and (-3 - (-185)\/20)*18\/(-85).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*b**5*f**2 + 2*b**5*f + 146*b**2 + b*f**2 wrt b?\nAnswer: 480*b**2*f**2 + 120*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 - 10*h - 2. Let s(a) = 2*a**2 + 21*a + 3. Let t(k) = 7*q(k) + 3*s(k). Let r be t(-6). Let f be 0 - -2 - 0\/r. Solve -y + 2*y + f = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 175220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 5, l: 2, j: 1, k: 1, p: 1, y: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 69 = 69. Suppose s = -36*j + 2677 + 2039. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 74 and 18944?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 239873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 12:26 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4 + 2 = 0. Suppose a + 3*h = w*h + 75, 0 = -3*a + 2*h + 225. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*b + 2*b + 114 = 0, b = 2*z + 58. Let v = 53\/2 + z. Let o = 0 - 2. Are v and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 2*w + 6. Which is the biggest value?  (a) 2\/9  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**4 + 1512*u**3 + 12612*u**2 - 100360*u = 0.\nAnswer: -13, 0, 5, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/((-4)\/(-2))*(-39636)\/6606.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*-1*sqrt(90) - sqrt(90))*-2)\/(-2*sqrt(180)*1)*-5 + 3.\nAnswer: -10*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 468077708?\nAnswer: 2, 7, 3541, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 3*h + 1 = -30, 2*x + 4*h - 28 = 0. Solve 17 = t + x*g, 0*g = 3*t - 2*g + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1183 and -29\/1145482.\nAnswer: 8018374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 3889.9538 to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9146.1 and 0.043174.\nAnswer: -9146.056826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g**3 - 65*g**2 + 16*g + 74. What is the tens digit of d(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-180\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 138333250 and 13750?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -284 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*k + 58*k - 10*k**2 - k**3 - 114*k - 2*k**4 + 1 as g + t*k + s*k**4 + l*k**2 + d*k**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 24*v**2 - 30*v + 127. Let r be c(25). Factor 18*l**r - 108\/5*l + 24\/5 + 15*l**3.\nAnswer: 3*(l + 2)*(5*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*(-8)\/40)\/(1\/((-6)\/27))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -t**4\/6 - t. Let v(f) = 4*f**2 - 2*f. Let l(z) = -2*z**2 + 3*z. Let p(g) = -2*l(g) - 3*v(g). What is w(p(b))?\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 13*k = 5*k. Suppose -148*c + 149*c - 5 = k. Find w such that -205 + 5*w**5 + c*w**3 + 100 + 105 - 10*w**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -3.88. Let b = 131.38 + -126. Let n = v + b. What is n rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -431, -1\/3, 5.\nAnswer: -431, -5, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 8\/9, -426, -2\/3 in decreasing order.\nAnswer: 8\/9, 0.3, -2\/3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 289 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1623\/13 + 125. Which is the nearest to 1\/3?  (a) n  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 84*c**5\/5 + 355780*c**4 + 117705748*c**3\/5 - 193963796*c**2\/5 + 85963448*c\/5 - 11484384\/5 = 0.\nAnswer: -21111, -68, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4*v - 2)*(4 - 2 + 2)*(-17*v**2 + 2*v - 2*v).\nAnswer: 272*v**3 - 68*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -8*o**2 + 10*o - 8. Let p(g) = 15*g**2 - 20*g + 15. Let m = 411 - 414. Let j(w) = m*p(w) - 5*d(w). Factor j(c).\nAnswer: -5*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 23. Let q(i) = -i**3 + 6*i**2 + 9*i - 8. Let o be q(s). Let j(d) = -d**3 + 6*d**2 + d - 3. Calculate j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-56)\/12 - -4)\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001183228 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, u: 5}. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o. Let g be u(5). Let r be (-1)\/g + (-86)\/(-5). Solve -5*j + 8 = 3*x - r, 2*j = -2*x + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of b**6\/720 - b**4\/8 + 7*b**2. Let u(t) be the second derivative of r(t). Let c(w) = -8*w**2. Calculate c(u(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*m - 25*m - 187*m + 0*m - 152*m)*(-4*m**3 + 2*m**3 + 3*m**3).\nAnswer: -357*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1647776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3722420?\nAnswer: 2, 5, 13, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 12:55 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -30411990 to the nearest one thousand.\nAnswer: -30412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -5, -2\/7, 17, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7*(0\/1 - 198\/231). Suppose 5*w - 17 = -6*r + 4*r, -w = -3*r. Suppose q - w = p. Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(85) + sqrt(85) + 2*sqrt(85)))\/(sqrt(180)*1) + (-1*(sqrt(2057) + -1))**2*-5.\nAnswer: -10290 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/6 - (-35925)\/18. Let o = 1988 - k. Let c = -48 + 241\/5. Find the common denominator of c and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*n**5 - 604400*n**4 - 13294765*n**3 - 46530790*n**2 - 55594860*n - 21754440 = 0. Calculate n.\nAnswer: -120858, -18, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6225 and 5966040?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 12:54 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3522 = 4*c, 85*c = 81*c + 12. Does 65 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-8\/9)*s*s**(2\/5))**(-15) assuming s is positive.\nAnswer: s**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l. Let k be o(2). Suppose 2*a - 4*d = 28, -5*a = -d + k*d - 55. Solve -i + a = 4*u, u - 4*i = 10 + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 986 + 990 + 1455*f**2 + 2*f - 2964 + 988 to the form s*f + a + t*f**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.045 - 0.045. Which is the nearest to w?  (a) -3  (b) -3\/5  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 365460*c - 365460*c - 2*c**2. Let d(n) = -1211*n. Determine d(b(m)).\nAnswer: 2422*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-253*c**3 + 99*c**2 - 99*c**2)*(7*c**2 - 14*c**2 - 29*c**2) + (-5*c**2 + 2*c**2 + 2*c**2)*(c**3 + 4*c**3 - 3*c**3).\nAnswer: 9106*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29296 + 29296.1. Suppose 5*q - 6 = -21. Which is the closest to -0.1?  (a) -3\/7  (b) q  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**2 - 4*o - 11. Let m be t(8). Let l = m - -543. Suppose -3*u + 3*q - 100 = -5*u, 5*q = 4*u - l. Calculate the highest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1015 (base 7) to base 10.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -732784 divided by 13\nAnswer: -56368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 323854 by -1.\nAnswer: -323854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 + 0)*(q + q - 6*q) + 0*q - q - q - 3*q + 1 + 2*q + 3*q as d + f*q and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3319.\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/9, -2, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1263904140.\nAnswer: 2, 3, 5, 61, 345329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 14356 = 3*r, 3*r - 14360 = 6*k - 7*k. List the prime factors of r.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*r - 7. Let f be r\/(((-8)\/4)\/2). Is (-2 + 0 - f) + 17 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24945 - -41182. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1\/2, -333.86 in ascending order.\nAnswer: -333.86, -6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.8 + 0.2. What is the closest to d in 2\/11, -0.4, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/2384 and 33\/14?\nAnswer: 16688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -74 divided by -6\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 28. What is the remainder when 131 is divided by u(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than -98.1403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.952 - 0.182. Let f = 39 + -42.1. Let i = o + f. What is i rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139435 is divided by 797?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**5\/20 + 9*h**2\/2 + 3*h. Let k(v) = 13*v. Let s be k(-2). Let n = s - -26. Calculate u(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 103*v - 501. Let d be t(6). Do 1\/6 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 161852*r**5 - 11267*r**2.\nAnswer: 9711120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + h + 4. Suppose 17*o - o - 16 = 0. Which is the third smallest value?  (a) o  (b) h  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + m**2 - m + 5. Let k be b(0). Let c = k + -37. Let i = c + 159\/5. Put 2\/11, i, 2\/5 in descending order.\nAnswer: 2\/5, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-3))\/(10\/90). Find the second derivative of -33*d**5 - 23*d**3 + 23*d**g + 4*d - 28*d wrt d.\nAnswer: -660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -324 (base 5) to base 2.\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c + 5*t = 13*c + 27, 0 = 2*c - 5*t + 21. Let x(a) = c - 3 - 14*a + 8*a + 14*a - 9*a. Calculate x(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 399536 and 49942.\nAnswer: 399536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -305 at most 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20608573627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -305*o = -292*o - 481. Suppose 1243 = o*d - 2753. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from yaafomoymomdoao.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 223412 and 99540?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5130781 (base 9) in base 4?\nAnswer: 22130013001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 2, 5*q - 3*q - 2 = -3*k. Suppose -o = -0*o - k. Let p be 2\/((-1)\/(-5)*-2). Put o, -3, p in decreasing order.\nAnswer: o, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j\/(j\/(j*j\/(j\/((j\/j**3)\/j)))))\/j)\/j)\/(j*j**(-9)))**(8\/9) assuming j is positive.\nAnswer: j**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -17 - 4. Suppose -126 = -3*j + 3*m, -5*m - 42 - 84 = -h*j. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(4*(-230)\/276).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppg when three letters picked without replacement from {d: 10, b: 1, p: 2, g: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) - (1 + sqrt(175))) + sqrt(252)*-2 + sqrt(252).\nAnswer: -6*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34125?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in -2\/7, 6\/11, 5, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 186 at least 3.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, -0.5, 1\/5, -1174, -1\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 0.5  (c) -2\/7  (d) -4\/7  (e) 0.0405  (f) 4\/5  (g) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-198)\/(-54) + (3 - 8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-3)*(5 - 33\/(-6)). Suppose w - a = -3*d, -3*d + 2*w = -0 + 1. Suppose -5*i - 345 = -5*m, -d*m - 2*i = 2*m - 352. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 24*j + 6. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33223.8mm to meters.\nAnswer: 33.2238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*b = -4*b + 77, 217 = 3*u - 4*b. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -209.6961 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -15*y - 3. Let i(r) = -10*r - 2. Determine -7*i(c) + 5*j(c).\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1243525?\nAnswer: 5, 49741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/39  (b) 3  (c) 1.3  (d) -1509\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 18. Suppose -f*c = -0*c - 425. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 41566059 and 3663?\nAnswer: 457226649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 303559351 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -76792, -808, 4 in decreasing order.\nAnswer: 4, -808, -76792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -26 - 37*j + 0*j**2 + 40\/3*j**3. What is the derivative of k(v) wrt v?\nAnswer: 80*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*v + 21*v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4162859447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7 - 32\/56*1043. Is j != -597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 + -650801372456.\nAnswer: -650801372454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - c)*(2203*c - 73*c - 477*c).\nAnswer: -1653*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 779 - 211. Let d = t - 336. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -61*u**3 + 4*u**2 - 45*u + 38. What is j(1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3086, -12228, -27418, -48662, -75966, -109336, -148778, -194298?\nAnswer: -245902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + 17 + -42 - (2 - -20) - -10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 15, -2\/21, 9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -43*t + 47*t. Let p(c) = -t*c + 0 + 3 + 12*c + 0. Let r(i) = -5*i - 2. Determine -4*p(h) - 5*r(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 391.7455 decades in centuries?\nAnswer: 39.17455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3 - 12 = 0. Is -8 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-18)*(2 - -1))\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-720)\/(-30))\/(-408)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, t: 1, c: 2, r: 1, q: 3, o: 1}. Give prob of picking 1 q, 1 k, and 2 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.13 and -1.227.\nAnswer: -0.15951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2720 and (-260)\/(-3)*(1\/(-8) + 273\/168)?\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + w = 10. Let g be (-85)\/(-1)*11\/w. Calculate the highest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8 + 1 + 9099\/(-1348). Determine y, given that -3\/8*y**3 + a - 3\/8*y**4 + 21\/8*y**2 + 39\/8*y = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 7:59 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -4\/5, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4852332 and 24849?\nAnswer: 53375652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-2*(sqrt(20)\/sqrt(4) + -4) + sqrt(2205)\/sqrt(9) + sqrt(25)\/sqrt(5) + 0 + -2)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -739.352 + -0.505.\nAnswer: -739.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 3\/4  (b) 7  (c) 4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 times -18.41135\nAnswer: 3.314043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 18*y**2 + 39*y - 56. What is the remainder when 7\/(-35) - 1692\/(-10) is divided by s(-15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 104 = 3*g, -103 = -9*z + 4*z - 3*g. Suppose -6*y + 2*y + 28 = 0. Let t = z + y. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-11)\/2*(-1 + 3). Let a(o) = -o**2 - 10*o - 26. Let x be a(-7). Sort x, v, 4.\nAnswer: v, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9971917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -52. Let j(n) = n**2 - 8*n + 15. Let a be j(5). Suppose a = 2*d - 5 - 355. What is the greatest common divisor of c and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, j: 1, r: 13}. What is prob of picking 3 s and 1 j?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (-4056)\/(-2054) + 7?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**3 + 202011*t**2 + 10199181240*t - 295946171600 = 0. What is t?\nAnswer: -101020, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-1)*3\/(75\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 at least as big as 227634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 17*b**2 + 2*b + 466. Give g(17).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 4672575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((k\/k**(-6))\/k*k)\/k)\/k)\/k)\/k*k*(k*(k*k**(-3\/4))\/k)\/k*(k**(-2\/9)*k)**(1\/23) assuming k is positive.\nAnswer: k**(2719\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + 68 + (-169 - -93) + 61\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 3*h + 1331 = 1318, -3*i + 3 = h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + 39. Let z = -526 - -529. Suppose z*u - b = u. Calculate the remainder when 41 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((-10)\/(-70) - 9)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 176 and 288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -107 + 533\/5. Let v(q) = 4*q**2 - 3*q - 3. Let f be v(2). Let s(c) = 2*c**2 - 12*c - 17. Let h be s(f). Put 2, h, 3, d in descending order.\nAnswer: 3, 2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 11) in base 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 + 19*u + 84. Let r be j(-13). Suppose 3*y = -2*y - r*y. Solve 2*x - x - 5*v = -19, y = -4*x + 5*v - 31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 797 = 4*x, 0 = 4*a + 12*x - 13*x - 1088. Suppose -28 = -2*i - 18, -2*t = 5*i - a. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68741023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -99\/83198 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g**3 - 2*g**2 + 1. Let s be p(-1). Suppose -5*z - s - 13 = 0. Which is the nearest to -2\/5?  (a) 4\/7  (b) -0.2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-45)\/(-50))*(-20)\/(-47400)*18?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 27\/4 - 3\/4. Suppose -v - 115 = -b*v. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25815\/619 or -42?\nAnswer: -25815\/619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 201 - 181. Calculate the smallest common multiple of w and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -64 + -3?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-3) - (-2)\/6. Let n(r) = 2*r**2 + 14*r. Let m be n(-6). Is -395*(a - m\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - 67. Let a = 274 + s. What are the prime factors of a?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2)*10\/(3 - -117). Let v(u) be the third derivative of -1\/10*u**5 - j*u**4 + 0*u**3 + 0 + 0*u - 6*u**2. Find the second derivative of v(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 102640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 7) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 - 126*c**2\/5 + 29*c - 24\/5.\nAnswer: (c - 24)*(c - 1)*(5*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/6 in -3, 5, 108, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, 1\/3, -52\/27, 4, 3\/8?\nAnswer: -52\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-3))\/(n*n\/n**(-2\/7))*(n*n**(1\/2)\/n)**(-1\/14))\/(((n\/((n*n*n*n**1*n)\/n*n))\/n)**(1\/30)*(((n*n**1)\/n)\/n)**(1\/8)) assuming n is positive.\nAnswer: n**(-349\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y + 5. Calculate o(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25158, -25254, -25350, -25446, -25542?\nAnswer: -25638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 4:17 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114707.\nAnswer: 251, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -11*n**3 - 2*n + 2. Let f(h) = -h**3 + 6*h + 4. Let g(k) = -2*k**3 + 7*k + 5. Let j(b) = 6*f(b) - 5*g(b). What is -8*j(r) - 3*t(r)?\nAnswer: r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-13 + (-6069)\/147)\/((-2)\/217)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*m**2 + 17*m**2 - 3*m**2 to k*m + j + p*m**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 8\/2105, 0.5, 6.\nAnswer: 8\/2105, 1\/5, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -210.4 plus -113890?\nAnswer: -114100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-9)\/y**(-6\/11))\/(y*y*y**(-3\/4)*y*y*y*y**1*y) assuming y is positive.\nAnswer: y**(-647\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39103\/324 + -71\/162. Let d = q + -120. Put -10, -4, d, 3 in descending order.\nAnswer: 3, d, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 7*g**2 - 6*g + 1. Suppose -4*r - 2 = -s, 3*r + r = 3*s + 10. Let z(u) = -8*u**2 + 7*u - 1. Calculate s*m(o) - 5*z(o).\nAnswer: -2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(3\/2))**38 assuming l is positive.\nAnswer: l**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 6:56 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (1 + sqrt(125)))*1 - (-2*sqrt(125) + 5 + sqrt(125)))**2 + 2.\nAnswer: -60*sqrt(5) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - 9, 639 - 666 = 5*q + 4*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 26 in -0.2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/5  (b) -1\/5  (c) -2\/5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3259, -4743, -6227, -7711, -9195?\n\"Answer: -1484*u - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104941521?\nAnswer: 3, 3886723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 664230 - 11404?\nAnswer: 652523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/i**(-6\/7))*i)\/i**(-2) assuming i is positive.\nAnswer: i**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8223, -18022, -34355, -57222, -86623, -122558?\nAnswer: -165027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11398\/29 - -393. Let t be 4*4\/32*50. Let h = -25 + t. Is c <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 242\/847*(-14)\/20\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.011, 0.3, -13, 8\/11 in descending order.\nAnswer: 8\/11, 0.3, -0.011, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-4))\/((-14)\/(-71 - -43)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6131118578 to the nearest integer?\nAnswer: 78301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1016830 is divided by 568.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/24203425 and -53\/3872548.\nAnswer: 96813700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38559 + -21790. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from srhwhjsqwwjs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1077.7247464 + -0.7\nAnswer: -1078.4247464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2. Let k(f) = 28*f**2 - 20*f - 144. Let d(u) = k(u) - 12*s(u). Let d(i) = 0. What is i?\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.8 - -10. Which is the second smallest value?  (a) -7  (b) w  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 66*z + 11. Is k(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6 + ((-6)\/(-9))\/(-2). Let h be 5\/7 + z + 23\/7. Solve h*u = 3*n + 6*u, 5*n = 2*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -727741, -1455508, -2183271, -2911030, -3638785, -4366536, -5094283?\nAnswer: -5822026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 3*q**2 + 4*q + 1. Let b = 1759 + -1763. Determine z(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4)\/l**(-1)*((l**(-4)\/l)\/l*l)\/l**4)**6 assuming l is positive.\nAnswer: l**(-93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - p - 1. Let l(r) = -r**3 + 4*r**2 - r + 4. Suppose -4*c - 12 + 0 = 0. Let q(f) = c*m(f) - l(f). Give q(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 - -234013?\nAnswer: 234000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12281\/4 - -3070. Which is the biggest value?  (a) 0.3  (b) t  (c) -0.102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 602\/172*22\/7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-805)\/(-150))\/(-23)*8\/(-14). Let i(p) be the first derivative of -3\/5*p**2 + 8\/5*p - 6 - o*p**3. Solve i(r) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -5*k**2 + 274*k + 628. Give f(57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/244 and 97\/10.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -206*a**3 + 196*a + 108533 wrt a.\nAnswer: -618*a**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 250 + -5. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -16 + 19. Suppose -5*q = 5, -p*q - 5 + 2 = t. Suppose -5*c - 19 + 4 = t. Which is bigger: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of 123*c**4\/4 + c**3\/6 - 104*c**2 - 2*c + 573. Differentiate l(o) wrt o.\nAnswer: 738*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - 7*g**2 - 8*g - 7. Suppose 66 = -39*w + 45*w. Suppose 14*b - w*b = 3*q - 6, b - 2*q = 2. Give j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 + 69. Suppose g = -2*b + 27. Suppose -5*n + 4*w + 5011 = 0, 4*n + b*w - 4010 = 4*w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/12*((-17)\/(-510)*24)\/((-12)\/(-510))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/5 + 9024201*m\/5.\nAnswer: -3*m*(m - 3008067)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*a + 358 = 0, 164 + 0 = 2*s + 4*a. Calculate the remainder when s is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -4. Let i be s\/(-10) + (-1)\/(-2). Suppose 5*n = -3*t + 43, -3*t + 0*t - 12 = i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2836.12*-2\nAnswer: -5672.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 42314.2 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 10:25 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -50*c**2 + 4*c + 10. Let b(n) = 52*n**2 - 5*n - 6. Calculate 2*a(t) + 3*b(t).\nAnswer: 56*t**2 - 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 3*z**2 - 22*z**2 + 16*z**2. Let y(w) = -7*w**2 - 6. Let t(n) = 14*n**2 + 11. Let g(b) = -6*t(b) - 11*y(b). What is j(g(m))?\nAnswer: -147*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100612689?\nAnswer: 3, 3271, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1.51  (b) 2\/43  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x + 60 = 3*x. Let w = -13 - x. Let r(j) = -7*j**2 - 2*j + 2. Let v(s) = -7*s**2 - 2*s + 1. Let n(t) = -2*r(t) + 3*v(t). Calculate n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**3 - 12*j**2 + 12. Let m(l) = l**3 - 6*l**2 + 5. Let g(i) = 5*m(i) - 2*z(i). Determine g(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8, -0.31, 5.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - o + 378171 = 0, 2*o = 7*w + w - 605106. List the prime factors of w.\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 8 = 2*y, 0*q - 16 = -4*y + 5*q. Suppose -11 = 3*g + 2*g + y*a, 3*a + 12 = 0. Suppose 2*j = -5*o + 58, o + 23 - g = j. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 256 - 201. Suppose 5*v + 2*n = l, -7*v + 3*v - 2*n = -46. Calculate the remainder when 33 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6 and 2187 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/3)\/((-56)\/288 - 1\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(637) + sqrt(637)*-1 - sqrt(637)) - ((-1 + sqrt(637))*-3 + sqrt(637)))**2.\nAnswer: -42*sqrt(13) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2530 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 82*k + 2634. Calculate a(-98).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 406 - 590. Let t = 335 + p. Let l(w) = -w**2 + 3*w - 5. Calculate l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006811 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178*l + 441 = 1331 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 634 (base 14) to base 12\nAnswer: 85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -493914 less than 1?\nAnswer: 493915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i - 9. Let h be k(6). Solve 0 = h*f - 3*y + 3, 0 = -2*f - 3*y + 40 - 27 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -244684 and -669?\nAnswer: 244015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 69*s**4 + 15*s**3 - 7*s**5 - 7*s**3 - 155*s - 69*s**4 wrt s?\nAnswer: -140*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1966, 5, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n**2. Suppose 51*t - c - 5 = 56*t, 3*t = 4*c + 20. Let l(m) be the second derivative of 0 + 25*m + t*m**2 + 1\/6*m**3. Determine l(r(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9172, 14713, 20268, 25843, 31444, 37077, 42748?\nAnswer: 48463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112177?\nAnswer: 13, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.293  (b) 54  (c) -1.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1734 + 5701. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*y = 432, 4*k - 1623 = y + 105. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b807c + -15?\nAnswer: b8067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o + 2*o + 6*o**4 - 9*o**3 - 380*o**5 + 383*o**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 1:11 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 360980, 721912, 1082844, 1443776?\nAnswer: 1804708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13.3 - 16. Round o to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 701194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220583.\nAnswer: 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 187508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -188 - -198. Solve y = 3*i - 5*z, 0 = -2*z - 0*z - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -350.77 - -8194889\nAnswer: 8194538.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-114)\/19*4*(-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = z + 5*o, 2*z + 1 + 249 = -5*o. Is z < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 22*t**3 + 505*t**2 - 26*t - 67. Let w be j(-23). Find k, given that 10\/3*k**2 - 4\/3 - 2\/3*k**3 - w*k**4 + 2\/3*k = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 22\/143 - (-9658)\/(-78). Let t = 126 + l. Is t equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1652 and 13048?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 184\/5  (b) -3  (c) -2\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/576 and 65\/2.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7260 - 2879. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: 8 + -7 + (3 - 4 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/1 - 238\/20 and 49\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6465 - -6470. Which is the nearest to 3\/4?  (a) v  (b) -3  (c) 0.0736\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - 1399616*z.\nAnswer: -z*(z + 1399616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 968383133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 39. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-203)\/((-82824)\/(-612)))\/((-30)\/(-136))\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -4*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.014 - 3.714. Let x = v + 3.6999908. Round x to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l + 2. Let z be s(-5). Let w be z*2\/(-7)*3. Let y be (15\/w)\/1*-2. Solve -5*u = y*h + 25, 0*u = h + 5*u + 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 500335 and 3025?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-2*(-2*-2*(sqrt(304) + 0) - ((-1 + sqrt(304) + -3)*-6)**2).\nAnswer: -11680*sqrt(19) + 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 3 + -4 + (1 + (sqrt(539)*5 + sqrt(539))*-3 + sqrt(539) + -1)*5)**2.\nAnswer: -4760*sqrt(11) + 3894291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (976971 - 976971 + 6216*p)*(p - 2*p + 0*p)*(-3 - 2 + 4).\nAnswer: 6216*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a*a**(-4)*a*a*(a**7\/a)\/a*a**11\/a*a**(-6\/11)\/a assuming a is positive.\nAnswer: a**(148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -196691, -196170, -195651, -195134?\n\"Answer: -x**2 + 524*x - 197214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -16. Put 4, o, -5 in decreasing order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**4 - 39*n**3 + 54*n**2 + 480*n + 384 = 0 for n.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -58?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26\/7 in 5, 3\/7, -11\/14?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18 - 23 + 5)*(-1 + 1 + 2*o) to the form s + v*o and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6587857 - 0.0517?\nAnswer: -0.7104857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -586, -1273, -1962, -2653, -3346?\nAnswer: -4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -2*y**2 + 60*y + 16. What is the tens digit of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2949*n + 26543. What is u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21947 is divided by 954.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -122033 (base 4) to base 8\nAnswer: -3217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21\/68 - 1\/17. Suppose 4*w = 3*y + 4, 0*w + 3*w - 3 = 5*y. Factor -x*l**5 + 0 + y*l**2 - 1\/4*l**4 + 0*l + 1\/2*l**3.\nAnswer: -l**3*(l - 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-182)\/1183 + (-236)\/(-13)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1302*m**3 + 3677*m**2 + 3215*m**2 - 6435*m**2 wrt m.\nAnswer: -7812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 11, v: 4, e: 3}. What is prob of sequence veve?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((-750)\/(-21))\/10\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**2 - 11*j - 9. Let d be h(-7). Let w = 42 + d. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*v - 4*k + 17, v - 2*k = 0. Suppose 7*p = v*p + 20. Let a = p + -8. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6863 - -8114. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 4*n**2 + 4. What is the remainder when 24 is divided by k(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (-6 + 4 + -5). Solve 0 = -y*t - 6*t + 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6 - 3)*(56 + 9*k - 31 - 30)*(-6 - 39 + 92).\nAnswer: 846*k - 470","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 18\/7 and -76\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -9505 divided by 24\nAnswer: -9505\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/(-3))\/(-1 + 0). Let y = 6 - q. What is the second derivative of 0*x**2 - x - x + 3*x**2 + y*x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -234*l**3 + 9*l**2 - 59*l - 961357?\nAnswer: -702*l**2 + 18*l - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38 - -56. Let u = -18.0004 + g. What is u rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1315762000 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -44 + 50.2. Let d = n + -2.2. What is the closest to -0.3 in 2\/15, 1\/7, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.593 * -0.2087\nAnswer: 0.1237591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (6*sqrt(6)*1)\/((sqrt(2)*2 - sqrt(2))*1) + -3.\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-2)*(-9 - 12\/(-4)). Let h = 31 - f. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 4:25 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 961*f**2 - 1911*f**2 + 953*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/3*(2 - -1). Let c = 3 + r. Let x be (c\/(-2))\/(2\/4). Solve 0*t + 3 = -3*t, 0 = 3*j + x*t - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -31, 1, 71, 191, 373?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.1 - -7.9. Let c = 4996.028 - 5005. Let l = c + x. Round l to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 - 6*o**2 + 3 - 7*o**2 - 25*o**2.\nAnswer: -41*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 138138.\nAnswer: 414414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -491 - -516.3. Let t = a - 8.3. What is the third smallest value in t, 5, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/42 - (-26)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.306763 - 0.7067726. Let s = 0.4 + m. Round s to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + k**2 - k + 55. Suppose 2*m + 7 = 5*s + 6*m, -s + 7 = -2*m. Suppose t = s*t. Is u(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 19)\/((-62)\/(-279) + (-20)\/9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 7:02 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 4*k + 24, 4*k = 4*a - 0*k - 16. Let x(d) = 2*d + 5. Let h be x(a). What is the units digit of (-1)\/5 + 348\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*w**4 - 2*w + w**4 + 11*w**4 - w**2 - 2*w**3 + 2 to the form t*w**3 + m*w + v*w**2 + q*w**4 + k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2547053 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 6 = 5*l, -l - 5 = -5*i + 13. Let g(c) = -2*c + 22. Let p be g(8). Suppose 18 - p = 6*b. Solve i*u + b - 14 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from tfftfttftf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-3080)\/(-48))\/77*(-1584)\/(-2420)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -822?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of 809*l**5\/20 + 31*l**4\/2 + 112*l - 1. Find the third derivative of b(z) wrt z.\nAnswer: 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 PM and 1:57 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + (5*sqrt(108)*-2 - sqrt(108))) - sqrt(108) - sqrt(108)) + (-2 + sqrt(108))*5 + -1.\nAnswer: -11 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10\/21, -2\/105, -1.\nAnswer: -1, -10\/21, -2\/105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1670309 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -r - r. Suppose 4862 = 2*k + 4*d, r*k = -k - 2*d + 7305. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmxmsrr. What is prob of picking 2 r and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 197*v**2 - 164*v**2 - 7 + 6 + 0 + v**2 + 0 - 3*v + 3*v - v**2 + (v - 4*v + v)*(1 - 1 + 2*v).\nAnswer: 29*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3*l + 177 = -0*l, -3*p + 3*l = 159. Let w = p - -93. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 34 - 8 = 2*m, -36 = 3*m - 5*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 272 and 2177456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (160998\/(-12))\/((4 + -9)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x**3 - 39*x**2 - 7*x - 6. Let s(d) = -5*d**3 - 39*d**2 - 8*d - 7. Calculate -7*h(r) + 6*s(r).\nAnswer: -2*r**3 + 39*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - q + 116 - 2, -5*q - 152 = -4*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*sqrt(121) - sqrt(121))\/((sqrt(88)*2)\/sqrt(8)).\nAnswer: -13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**2 + 22*l**2 - 3*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 298716.\nAnswer: 2, 3, 11, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18810 + -18330. What is the greatest common divisor of 4720 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 6 - 16682*x - 3.\nAnswer: -16682*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 24 + -1 + -5 - 5 - 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-13)\/(390\/72))\/((-6)\/20). Calculate the greatest common factor of 88 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 81*r**2 + 12 - 5*r + 8*r - 80*r**2 + 4*r. Let y be t(-5). Suppose y*d - 37 = -x + 35, 2*d - 312 = -4*x. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 43 + -43. Solve c*p = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 6*t**2 + 2*t - 3. Let n be b(-6). Let g = 14 + n. List the prime factors of -2 + 30 + (2 - g).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*a**3*n**2 + 156*a**3*n + a**3 + 3*a**2*n - 49*a*n**4 wrt n?\nAnswer: -30*a**3 - 588*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6348185 take away 2?\nAnswer: -6348187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/9)\/h)\/(h\/h**(-7\/5)))**(1\/31)*((h*h**(-1\/8))\/h**(-2\/5))**(17\/3) assuming h is positive.\nAnswer: h**(79367\/11160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 - 1. Let m(f) be the third derivative of 1\/24*f**4 - 3*f**2 + 5\/6*f**3 + 0*f + 0 + 1\/10*f**5. Let x = 24 + -13. What is x*w(p) + 2*m(p)?\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 6*c - 6. Let n be c\/((-6)\/(-9)) + -1. Let l = 2\/111 + -76\/111. What is the biggest value in -4, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34241 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3046642?\nAnswer: 2, 59, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8550313 and 0.009?\nAnswer: 76952.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*i + 120 = -17*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -11*z**4 + 3*z**2 - 3*z + 1. Let c(d) = 6*d - 2*d + 1 + 2*d - 5*d - d**2. Let n(r) = -3*c(r) - m(r). Differentiate n(g) wrt g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -30*w**2 + 1. Let d(g) = -29*g**2 + g + 2. Give 2*d(z) - 3*i(z).\nAnswer: 32*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -7  (b) -0.4  (c) -2\/7  (d) 5  (e) 3.702\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*g**3 - 6*g**2 + 1075 with respect to g.\nAnswer: -24*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 393984 by -54.\nAnswer: -7296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 4*t + 13*w + 45, 22*t - 15*w + 50 = 18*t - w for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(2\/27)*(t*t\/(t*t\/(t\/t**(-15)))*t)\/t)\/(t**(-2\/71)\/t*t)**10 assuming t is positive.\nAnswer: t**(32987\/1917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 984 and 30864?\nAnswer: 1265424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -359 divided by -2468.\nAnswer: 359\/2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**5\/20 - l**4\/6 - l**3\/6 + l**2 + 7*l. Suppose 0 = t - 21 - 10. What is the remainder when t is divided by u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26 and 538.\nAnswer: 6994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -378226 divided by -6\nAnswer: 189113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -d**8\/151200 - d**7\/18900 - d**6\/5400 + 7*d**5\/30 - 15*d**2. Let l(n) be the third derivative of j(n). Solve l(z) = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, f: 1, y: 1, t: 1, q: 1}. Give prob of sequence rft.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13487677 or 13487680?\nAnswer: 13487677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 157*l**3 + 2*l**2 - 45*l - 52. Let m be y(8). Round m to the nearest 1000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 6*m**2 + 7. Suppose -6*h + 32*h + 156 = 0. What is g(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-84)\/(-777) - 38532\/481?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/13)*l)\/((((l\/((l\/(l*l\/((l*l\/(l\/(l**(2\/5)\/l)))\/l)))\/l))\/l)\/l)\/l*l))\/((l*l**(-1\/8))\/(l**0\/l)) assuming l is positive.\nAnswer: l**(-1247\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 311 - 190. Let x = 127 - c. Let l = 3.5 + -3. Sort l, -1, x.\nAnswer: -1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c + 3*c + 20*c. Let w(x) = 4*x**2 + 1 - 22*x + 19*x - 3*x**2 - 10. Let g be w(5). Calculate j(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 15*q - 605. Give t(37).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254942112 is divided by 254942102?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*q**4 - 8916*q**3 + 1270395*q**2 + 148805748*q + 845158860 = 0. Calculate q.\nAnswer: -70, -6, 819\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 0, -11 in descending order.\nAnswer: 4, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m + 8. Let u be y(5). What are the prime factors of 189\/28*8\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 3*h + 7 = 8*y + 5*h, -8 = 7*h + h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2200434553.\nAnswer: 2200434553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 13 = -2*k, 0 = -126*k + 124*k - 2*m - 10. Which is the closest to -6\/7?  (a) -0.604  (b) k  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -14. Let t = n + 2. Let o = t + -3.9987. What is o rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45304 and 3277259.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -98 + 139. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14488462 by -2.\nAnswer: 7244231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -e28?\nAnswer: e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56\/53 + -6337\/530. Let w = -41\/3 + 437\/12. Find the common denominator of w and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of 5*w**3\/6 - 27*w**2\/2 + 34*w. Let k be b(6). Suppose -8*f - k = -19. Solve 0*a - 20 = -5*m + 3*a, -7 = -f*m + a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 37  (b) -1  (c) 1  (d) 40\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9aca0e (base 15) to base 13.\nAnswer: -16b6890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*j - 19*j + 24*j = 413 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**0*q**(1\/7))\/(q**(2\/5))**(-21))\/(((q**(1\/2)*q)\/q)**44\/((q*q\/((q*q\/q**(-6\/11))\/q))\/q*((q*q\/q**(2\/13)*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-60843\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 38*w**2 + 40*w + 111. Let f be k(-37). Sort -2, f, -34, -5.\nAnswer: -34, -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 PM and 8:13 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/1171 and 35\/63702.\nAnswer: 74595042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-8)*(-60)\/(-225)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 99\/(-1)*(2 - 3). Is 18\/g + (-5122)\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 4:09 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 284 a factor of 117274108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -4*x**2 + 105*x + 4420. Determine z(-24).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -285 - -866. Suppose -5152 = 565*f - y*f. List the prime factors of f.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75 + -84 + 27 + -2 + -7 - (7 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, m: 2, z: 4}. Give prob of sequence xzz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 346054, 346044, 346034, 346024, 346014?\n\"Answer: -10*g + 346064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 656 + -690 + -1 + 18\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from sfhsfdoffh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -2*b - 304. What is the highest common factor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, b: 1, m: 1, d: 2}. What is prob of picking 1 d and 2 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -b**6\/60 + b**4\/12 + b**2\/2 + 3. Let u(p) be the second derivative of l(p). Factor u(j).\nAnswer: -2*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 PM and 2:25 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2326.504 centuries in months?\nAnswer: 2791804.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -101, -173, -279, -431, -641, -921, -1283?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 8*i - 1. Let l be j(7). Let f = -5510 - -5514. Solve -f*p - l - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20661.885ms in hours?\nAnswer: 0.0057394125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -229059 + 358040. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 divided by -6?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -949*o = -24528 + 3650 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.3, -193, -2\/29, 4, -4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 10:18 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7755*y + 2*y**2 + 7755*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*f**3*p - 31*f**2*p - p wrt f?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73096 + 27805 = -2185*d + 11*d - 287*d for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + -3 + sqrt(1100) + sqrt(1100))**2 + -2.\nAnswer: -240*sqrt(11) + 4434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14160 - 14160 + 8*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 4 = -12*m, 5*m = 2*z - 32. Let x be 10\/z - (-3)\/27*12. Solve -x = 3*n - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/35)\/(152\/190))\/(1\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2401 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**3*f**5 + 2*d**3 - 4367*d*f**6 - 2384*d*f**2 wrt f.\nAnswer: -120*d**3*f**2 - 524040*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + -7 - -5) + 2 + 7 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.1  (b) -908  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 4*g + 8. Let n(j) = 2*j**2 + 7*j - 14. Let o(d) = -7*a(d) - 4*n(d). Suppose 2*y = -2*y. Let t(q) = q + y*q + 0*q. Determine o(t(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54960797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-30)\/(-10) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 78 = 86. Which is the smallest value?  (a) -1  (b) -0.4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -222*v + 61. Suppose 0 = 7*z - 3 + 45. Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03627 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -6135*z**3 + 27*z**2 - 27*z. Let v(l) = 472*l**3 - 2*l**2 + 2*l. Give 4*d(u) + 54*v(u).\nAnswer: 948*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*o - 4*o + 3*o)*(-1294*o + 99*o - 1053*o + 537*o) to t*o + a + y*o**2 and give y.\nAnswer: 5133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1683.5 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -805552 and 134.9.\nAnswer: -805417.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*j + 1032 - 1312 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a + 26. Let j be q(11). Let n = j + -4. Let c(v) = -2*v**3 - 5*v**2 + 10*v + 5. Let l be c(-4). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {o: 2, m: 1, r: 6, h: 1, b: 4, z: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 48746880 divided by -576?\nAnswer: -84630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1524625656 to three decimal places.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*p**3 + 257*p**2 + 2661*p - 4 wrt p.\nAnswer: -42*p + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -77, 1016 in decreasing order.\nAnswer: 1016, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {e: 4, i: 6, m: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of q**6\/42 - 9*q**5\/35 + 6*q**4\/7 - 20*q**3\/21 + 649. Suppose n(r) = 0. Calculate r.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*t = -2379 + 1899 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 374148214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 680030805 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-540)\/30*(-1)\/(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 4*i + 5*q, 2*q = 4*i - i - 16. Let r = -696 + 700. Let g = -5 - -2. What is the biggest value in g, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -r - 2*i, -7*r = -3*r - 2*i - 12. Let y be 4\/(-5)*(-15)\/7. Is y greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 17530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 4. Let d = 217 - 333. What is the remainder when 1\/3 + d\/x is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1, -2\/665, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5371\/14280 + -2\/1785. Which is greater: t or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-10))\/(f**4\/f)*f**(-6\/17)*f*(f*f**(-1\/13))\/f*f)**(-4\/11) assuming f is positive.\nAnswer: f**(9220\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3568*k**4 - 25*k**3 + 7*k**2 - 4*k - 1265 wrt k.\nAnswer: -85632*k - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -5103*f**2 + 8*f + 15. Let k be n(-5). What is k rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*z - 60 = 0. Let c = 15 - z. Let m be (-24)\/(-9) - 2 - (-20)\/6. Sort m, 5, c in increasing order.\nAnswer: c, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 5 = -2*w, 0*w + 3*s - 35 = -2*w. Let c(x) = -181*x + 55. Let j be c(w). Let a = 3512 + j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 197267744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*s = 16*s - 74*s + 3363 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 11. Let u(h) = 4*h. Let c(n) = -1 - n + 1. Let v be 508\/28 + (-1)\/7. Determine f*u(r) + v*c(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -149, -148, -147?\n\"Answer: r - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1, 0.5, 24, -3\/4, 2\/9, -0.48, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**7\/120 - x**6\/120 - 7*x**3\/3 - 8. Let h(u) be the third derivative of a(u). Find the third derivative of h(q) wrt q.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/38 and 7\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + 42*u**2 + 403*u - 30. Determine y(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1820)\/80 + 19)*2932\/(-3)?\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -20*z + 6. Let m(b) = 7*b - 2. Let q(l) = 16*l - 2. Let h be q(1). Let x(d) = -d**2 - d + 5. Let k be x(0). Give h*m(i) + k*c(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(945\/36*(-108)\/810).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/((2\/(-3))\/2). Suppose -3*d + j - 3 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8463 and 6258.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -474504.4112 to the nearest one thousand.\nAnswer: -475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 3*u + 6. Let y be o(-2). Solve -3 + y = 3*j + 5*f, 0 = -2*f - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2077?  (a) -2\/3  (b) 21  (c) 2\/15  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 39*p**2. Let s(o) = 31*o - 6. Let w(k) = 14*k - 3. Let l(x) = 4*s(x) - 9*w(x). Let n(q) = 16*q - 18. Let f(u) = 6*l(u) + n(u). Calculate f(g(z)).\nAnswer: 156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -9. Let m = -40 - -40.3. What is the third smallest value in m, k, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-3\/7)*d*d\/(((d**(2\/11)\/d)\/d)\/d)*d*(d\/(d*d\/(d*d**(6\/7))))**(-34) assuming d is positive.\nAnswer: d**(-1829\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - n = -3*n - 32, 5*q - n - 31 = 0. Let h(y) = -y**3 + 4*y**2 + 9*y - 8. Let j be h(q). Let s = j + 47. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87.92787 millennia to centuries.\nAnswer: 879.2787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2854444 is divided by 356803?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2*b + 75. Let l = b - 14. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 2:53 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + (3 + -18)\/(-3). What is the highest common divisor of 22 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 51\/2 of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 15606*j - 78039. Let k be c(5). Suppose 47 = 3*t + 8. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*v**5 + 76*v - 4*v**2 + 0*v**2 - 74*v - 4*v**2 + 2*v**6 wrt v.\nAnswer: 240*v**3 + 1380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 7)*(-l + 2*l + 0*l)*(-7 + 3 - 6).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 2480 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -22609553.\nAnswer: 67828659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 0*n**2 + 2*n**2 - 5*n - 3*n**2 + 0*n**2 + 3. Let j be o(-5). Suppose 2*v = j*v. Solve -q - q = v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 4*p + 14. Determine o(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**5\/20 - 2*y**4\/3 + 4*y**3\/3 - 5*y**2\/2 - 26. Let w(s) be the second derivative of h(s). List the prime factors of w(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63173?\nAnswer: 11, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-17 + (7 - (1 + 5)) + 7) - 95?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 49*y - 1187. Let f be r(74). Let l be (-2 - 0) + (-24)\/(-2). Suppose 23*u = l*u + f. What is the remainder when 151 is divided by u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 23 - 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/(-4)*(-9)\/18*1*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 3*h**3 - 14*h**2 + 19*h + 15. Suppose 3*w = p + 154, -5*w - 17 = p - 271. What is the remainder when w is divided by c(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -66.9676 + 0.0676. Let h = z - -67.2. Which is the second smallest value?  (a) -5  (b) h  (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 17, -2, 5, 4\/5, -3, 4\/15, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-1 - 1) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -5*b + 36. Let g be n(8). Let p = -19 - -10. Let m = g - p. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 2)\/((-24)\/(-5) - 5). Let w = d + 95. Suppose -451 = -4*q + o, -q + 2*q + 4*o - w = 0. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j. Let s(t) be the second derivative of t**5\/60 - t**2\/2 - 3*t. Let n(g) be the first derivative of s(g). Calculate m(n(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -648432 divided by 162108?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kumfmmmbmcucf. Give prob of sequence ff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -5*s. Let h(q) be the first derivative of -19*q**3\/3 + 27. Determine x(h(o)).\nAnswer: 95*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 + 1139. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36861 - 72534 - 3*w + 36706 to the form t*w + y and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -4. Let x(i) = 2*i - 3*i - 5*i + i**2 + t. Let m(v) = -17*v + v**2 - 32 - 37 + 2*v**2 + 75. What is -6*m(k) + 17*x(k)?\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 10:42 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9 + (8 - -6) - (10 + -10). Suppose -4\/5*o**3 + 2\/5 - 2\/5*o**d - 6\/5*o**4 + 4\/5*o**2 + 6\/5*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2124223404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 0*v = q - 3, 5*v + q = 35. Suppose -5*d + 21 = -2*d. Is d not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7464 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19752060.\nAnswer: 2, 3, 5, 329201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from lkrkklk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**2 + 5*r + 2. Let l be a(-3). Suppose h - l*f = 2, 3*h - 6 = 2*f - f. Let n be (-22)\/(-1) - 4\/h. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*v**(1\/7)*v)\/v**(-1\/10))\/(v*v**0)**(1\/22) assuming v is positive.\nAnswer: v**(1616\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 1 = -n. Suppose 0 = -12*v + 8*v + 136. Calculate the remainder when v is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/101673 and -64\/39105.\nAnswer: 508365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (327*h + 549*h + 592*h)*(8*h - 3*h + 0*h).\nAnswer: 7340*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 5*z + 11*z)*(0 + 3 - 2)*(-233*z**2 + 93*z**3 + 233*z**2).\nAnswer: 651*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-2)\/5) + 264\/(-56)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -3167584926.\nAnswer: -3167584926.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q + 112. Let c(x) = -13983*x + 13983*x - x**2. What is c(b(k))?\nAnswer: -4*k**2 - 448*k - 12544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 1052 = -5*h, -40*p + 36*p = 2*h - 410. Calculate the remainder when 633 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -8*t - 724. Give v(-24).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 33 = -0*u + 4*u, -2*u = -4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*m + 19481 + 12429 = 0, -3*m = 3*a - 23919. Calculate the highest common factor of a and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-12)\/8 - ((-16)\/(-76) - 45890\/(-4940)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 22 = -v, -v - 14 = 5*p - 4*v. Let o be (p\/6)\/((-2)\/(-6)). Suppose -15 = -2*n - 3*n. Sort n, -1, o.\nAnswer: o, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/146349696 and -51\/704.\nAnswer: 1609846656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -959382, -1918885, -2878388, -3837891, -4797394, -5756897?\n\"Answer: -959503*h + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 2*i + 30 = 0. Let r be 1\/2 - i\/6. Find the second derivative of 6*c - r*c**2 - 3*c + c**2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x\/(x**(-15)*x)))**(-11)*(x**(-2\/3)*x)**20)**(-2\/61) assuming x is positive.\nAnswer: x**(-898\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/2606928?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -58708*m + 58711*m + 30 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**1*f**5*f)\/((f*f**0)\/(f*f**(1\/9)))*(f**5\/(f\/(f**(2\/13)*f)))\/(f**(-2\/3)\/(f*f**(-1\/4)\/f*f*f)) assuming f is positive.\nAnswer: f**(6403\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/((c**2\/c)\/c)*c*c**(1\/3)*c**(10\/3)\/(c**9*c) assuming c is positive.\nAnswer: c**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4107492339 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**5\/8 - 82017*l**4 + 9*l**3\/2 + 984198*l**2 - 1312272*l = 0. What is l?\nAnswer: -218712, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(22) - (sqrt(22) + 3*sqrt(22))*-2) + -1*sqrt(22)*-1)\/(-2*5*sqrt(8)*5))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 476 divide 346215268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 263 = -129. Which is smaller: m or -398\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 231010?\nAnswer: -231008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 609 + 1181 = 5*h. Suppose h = 3*y - 308. Suppose m + 1 = 0, -4*f - 3*m + y = -119. What is the highest common divisor of f and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -217*c**4 - c**3 + 136*c**2 + c wrt c.\nAnswer: -5208*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5939*s**2 + 4014*s**2 - 4*s + 8*s - 4*s.\nAnswer: 9953*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -64*v**3 - 20838*v**2.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -5*d - 2, -4*d + 16097*w - 16095*w + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (133\/35 - 7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 5:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4805, 38571, 130225, 308711, 602973, 1041955?\nAnswer: 1654601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3289\/6 - 548. Let z(b) be the second derivative of 0*b**3 + 5*b + 0*b**2 - 7\/30*b**6 + 0 + 0*b**5 - f*b**4. What is the third derivative of z(u) wrt u?\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 1490*a + 401. Is o(39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 6.5  (c) 38  (d) -0.1613  (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does -380943 = -380946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-12))\/(-1 - 2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -5*w**3 - 10*w**2 + 10*w - 4. Let o(k) = -3*k**3 - 7*k**2 + 7*k - 3. Let c(z) = -5*m(z) + 8*o(z). Let n = -10 - -17. Is c(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39ccd (base 16) to base 6.\nAnswer: -5024021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 take away -136815?\nAnswer: 136814.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -66163 and 1.6723?\nAnswer: 66164.6723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -q + 49, -5*z = -3*q + 84 + 19. Let g = -21 + q. Calculate the remainder when 54 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 5, 2, 3, 15 in increasing order.\nAnswer: -21, 2, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -384779 by -4.\nAnswer: 384779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of 9*y**2 - 1\/6*y**3 + 0 - 71\/24*y**4 + 0*y. Is 10 a factor of b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -16 + q - 15\/2*q**2. Let f(y) = 2*y**2. What is f(c(s))?\nAnswer: 450*s**2 - 60*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 9. Let m = 4 - i. Let j = m + -2.9. Put j, -0.2, 2\/3 in increasing order.\nAnswer: -0.2, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 0.0486148575643.\nAnswer: 2.0486148575643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16.64767 + 1.50173. Let r = i - 18.2. What is r rounded to three decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 12  (b) 0.5  (c) -1  (d) 6  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-48))\/((-1)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18880 and 113385728.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -2*y - 1024, -3 = -4*y + 5. Let w(f) = -f**2 + 8*f + 3. Let k be w(-10). Let l = k - j. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 58936645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/18 and -69\/266.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/6)\/((-3)\/(-30)) + -1. Let s be (n + 326)*(-3)\/(-2). Calculate the highest common factor of 45 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56+-50.925035221\nAnswer: -106.925035221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35559, -5, -18, 4.\nAnswer: -18, -5, 4, 35559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351126326?\nAnswer: 2, 23, 7633181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r - 49. Suppose 0 = -4*u - 12, 4*g - 2*u + 0*u + 26 = 0. Let t be f(g). What is the remainder when ((-84)\/t)\/(3\/(9\/2)) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/((r*r*r\/(r\/(r**(-2\/3)\/r*r))*r)\/r))\/(r**11\/r*r)*r**(2\/9)\/(r\/(r*r**(-1\/10)*r)*r))**(-49) assuming r is positive.\nAnswer: r**(45031\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6352252, 6352253, 6352256, 6352261, 6352268, 6352277, 6352288?\nAnswer: 6352301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -15. Sort 7, b, -2\/11.\nAnswer: -2\/11, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1469, -1473, -1489, -1517, -1557, -1609, -1673?\n\"Answer: -6*f**2 + 14*f - 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 2*x - 6 = -2*c, 3*x = 3*c - 9. Solve -n + 3*h - 7 = 2*h, -c*h + 11 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578692227 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {a: 3, u: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -9*k**2. Let g(v) = -v - 18. Let y be g(-11). Let w(a) = 13*a + 7. Let i(b) = 6*b + 3. Let h(j) = y*i(j) + 3*w(j). Determine h(s(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48530.9t to milligrams.\nAnswer: 48530900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from diiiaddiadkiikdii. Give prob of picking 1 a and 1 d.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*y - 12 = 0, -3*i - 12 = -3*y - 0*y. Suppose -2*a + s + 76 = 0, 5*a + i*s = -2*s + 190. What is the remainder when a is divided by 20\/2*(-4 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -15*q + 19*q + t, 0 = 2*q - 3*t. Let h(b) = -b**3 - b**2 + 4*b - 1. Calculate h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most 78\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + -1)*3\/(-2). Suppose 9 + s = 3*f. Find the second derivative of f*q**4 + 8*q - 4 + 4 wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 4 = t, 0 = k + 4*t - 5 + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + 12*o**2 + 8*o - 3. Suppose 11*t = 5*t - 66. Let c be d(t). What is the greatest common factor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(9\/4)\/(w**(3\/4)*w)*(w\/w**12)\/(w*w**(8\/5)) assuming w is positive.\nAnswer: w**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u - 4. Suppose 2*i + 2*i + 12 = 0. What is j(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 10*r**3 - 3*r**2 - 74*r + 41. Let s(a) = 7*a**3 - 4*a**2 - 53*a + 42. Let h(v) = 2*c(v) - 3*s(v). Determine h(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65809238, 131618477, 197427716, 263236955, 329046194, 394855433?\nAnswer: 460664672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 1\/826, -0.068?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**7\/105 - 13*h**6\/30 + 37*h**5\/10 - 21*h**4\/2 - 10274*h**2. Factor b(u).\nAnswer: 2*u*(u - 21)*(u - 3)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 * -1851.\nAnswer: -18510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**2 - 6*h. Let c(j) = 6*j + 2*j - j + 2*j**2. Suppose 3*b + 0*b + 9 = -4*k, -4*b - 10 = 5*k. Give k*f(g) - 5*c(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -s**7\/105 - 2*s**6\/3 + 85*s**4 + 255*s**2 + 2*s. What is the second derivative of x(q) wrt q?\nAnswer: -24*q**2 - 480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*k**3*t**2 + 229*k**3*t + 380*k**3 - 10*k**2 + 341*k + 444*t**2 wrt k?\nAnswer: 60*t**2 + 1374*t + 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**2\/7 + 18969*t\/7 + 2068596\/7 = 0. What is t?\nAnswer: -6212, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 319 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 7*d + 9*d + (3*d + 0*d - 2*d)*(0 - 3 + 4))*(-1 + 3 - 1)*(3 - 1 - 1)*((0 + 3 - 5)*(-8 - 12 - 3) + 3 + 0 - 10).\nAnswer: 117*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**3 + 24*h**3 - 6*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2976.2 - -2976. Let v = 9 + -7. What is the closest to v in 1, -1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38111559049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -54*o**3 - 141*o**3 + 5*o**3 + (-3*o + 3*o + 2*o)*(0*o + 0*o + o**2) - 6*o**3 + 0*o + 0*o.\nAnswer: -194*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 8:51 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5055\/4 + 16211\/12. Which is the smallest value?  (a) 0  (b) g  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 9*x + 35. Suppose 3*z = 2*z + x. Let d(n) = 2*n + 3. List the prime factors of d(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 + -98. Let y = -52.0074 - m. Round y to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 8*u - 2. Let i be n(7). Suppose 3*f - x + i*x = 4504, 4*f = -3*x + 6003. What is f rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 172 - 5?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3378?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**5\/5 + 4*g**4 - 56*g**3\/5 + 4*g**2 + 58*g\/5 - 8 = 0. What is g?\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37771 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 6\/(-9) + ((-3400)\/(-6))\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2030121210 - 2?\nAnswer: 2030121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b - b - b + 0*b + 0*b - b + (-1 + 5 - 2)*(4 + 2*b - 4) + 0 + 3*b + 0)*(-4*b + 10*b - 7*b) in the form f*b + l + h*b**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5 + 2 + 17\/5. Let v = 1.94 + -5.94. Which is the nearest to o?  (a) 31  (b) v  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -649244.52 rounded to the nearest ten thousand?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4280923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + 2.9. Let l = 161.2 - 163. Let o = 1.6 + l. Put 5, i, o, -5 in decreasing order.\nAnswer: 5, i, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/10)\/(-7)*(-30)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 5 + (-81)\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104444 (base 5) in base 16?\nAnswer: -ea5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 8:33 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 5565 + 5556 = d, -2*s + 27 = -3*d + 7*s for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**5\/7 + 794*j**4\/7 - 3202*j**3\/7 + 2406*j**2\/7 = 0?\nAnswer: -401, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -354*x**2 - 6*x - 2. Let t(n) = 1770*n**2 + 32*n + 11. Determine 11*m(p) + 2*t(p).\nAnswer: -354*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13809282 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/660 and 169\/1312800.\nAnswer: 14440800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -b**5\/120 - b**4\/6 + b**3 - 3*b. Let d(s) be the second derivative of n(s). Let z(p) = -p + 2. Let w be z(5). What is d(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11950277 < 11950277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -4*f**2 - 3*f + 4. Let l(j) = 5*j**2 + 4*j - 5. Let c(a) = 3*l(a) + 4*m(a). Let h be c(-11). Let u = 12 - h. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + w)*(3*w**2 - 4*w**2 + 0*w**2 + 4*w**2 + 2*w**2 - 4*w**2 + (0 - 2 + 11)*(2 - w**2 - 2)).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*y**3\/7 + 22*y**2 - 122*y\/7 - 40\/7 = 0. Calculate y.\nAnswer: -20, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rpnf when four letters picked without replacement from gffppfpnbpnprfp?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 169618708 by -4.\nAnswer: -42404677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/40*-5*3*8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 446348 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1556 - 1027. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*a - 191*a + 3197 = -77*a - 10719 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 56 = 35. Suppose 90 = -x*o - 27. Let w(k) = k + 1. Determine w(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o - 26*o - 434 = 0. Suppose 4*u - 23 = -g, 2*u - o = -4*g + u. Solve g*z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3407.81 and 0.024.\nAnswer: 81.78744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**2 + 11*x + 3. Calculate i(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-15)\/170*4\/3. What is the biggest value in u, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*l + 12 = 134*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82524507 is divided by 2404?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1\/4)\/(25\/(-150))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11235789 and 7490526.\nAnswer: 22471578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -h + 9, 4*q - 3 = -11. Solve -26 = -2*z - h*b, -2*b + 21 = 3*z + b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2099 minus -0.26?\nAnswer: -2098.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -23, 0.06, 2\/9, 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/((-7)\/(-11))*21\/21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 14*x - 7. Let w be c(-8). Suppose -5*r - w = -4*n, 4*n - 26 = -0*n + 2*r. Solve 3*f = -5*t + 22, -n*f + 1 = 5*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 1:17 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*k + 53*k - 161*k + 54*k + 12*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 194381.\nAnswer: 11, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 31*c**2 + 14*c + 519. Calculate the remainder when 40 is divided by o(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363*z + 108 = -354*z. What is the remainder when 2926 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 2*y = -5*p + 23, 3*y - 28 = -5*p. Let x(l) = -2*l - 1. Let n(o) = -3*o - 1. What is p*x(j) - 4*n(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 822*t + 3286. Let r be x(-4). Which is the nearest to 1\/2?  (a) 1  (b) 1.1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -4*y**2. Let q be p(-1). Let v be (1\/q)\/(3\/(-12)). Which is the nearest to -0.3?  (a) v  (b) 2\/9  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r - 9. Let o be l(-7). Let z = -2 - o. Suppose z = y - 6*y + 25. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*j**3 - 3546*j**2 - 183128*j + 8289960 = 0. What is j?\nAnswer: -278, -105, 142\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-252)\/49)\/(-9)*(-112)\/8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4264 and 3731.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 259 and 210?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {n: 2, d: 2, v: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 12:17 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*m - 73 + 279 = -235 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04 - 5.04. Let q = -4 - p. Let g = -7 - -2. Which is the smallest value?  (a) -1\/7  (b) q  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 3:07 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -378, 5, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -2)\/((-2)\/(-200)). Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501315334 (base 6) in base 13?\nAnswer: 19a7694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -529 + 6282*a**2 - 732*a**4 - 6282*a**2 - 1305 - 527 wrt a.\nAnswer: -2928*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - 3*r + 2*r)*(3*r**3 - 7*r**2 - 2*r**3 - 5*r**3).\nAnswer: -8*r**4 - 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68)*-2*-2)\/sqrt(2)*-2)\/((-1*sqrt(14)*-6)\/(sqrt(7) - (sqrt(567) - 1*sqrt(567) - sqrt(7)))).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of 0 - 1\/6*l**4 + 0*l**2 + l + 0*l**3. Let n(j) be the second derivative of j**4\/12 + 3*j. Determine n(c(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhqebjhejqeh. What is prob of sequence ebj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 607*c - 1609 - 1605 - 626*c + 3214.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-4)*-2 - 3. Let q be 38\/(-30) - l\/6. Let y be (1 - 0)\/(8\/((-120)\/(-9))). Which is the closest to 0.2?  (a) 5  (b) y  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**3 + 27 - 3*q**3 - 27.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119596243?\nAnswer: 13, 9199711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.05 + -2.1. Let l = 1.95 - v. Let p = 3.7 + -4. Which is the biggest value?  (a) l  (b) -2\/17  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1555 - -6528?\nAnswer: 8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 710 divided by -8\nAnswer: -355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 196.98, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11676 or -11675?\nAnswer: -11676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2466, 0.04, 1\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3*r**3 + 3*r**2 + 44*r + 1. Let t(f) = -f**3 + f. Calculate 5*t(n) - x(n).\nAnswer: -2*n**3 - 3*n**2 - 39*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y + 6. Let c(l) = 19*l - 1. Let h be c(-3). Let x = h + 71. Suppose 12*q = x*q - 4. Give j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 41*w = -44*w - 2048, 0 = -5*f + 2*w + 2560. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/(-4))\/((-2)\/48 - 0). Suppose s - 43 = -z. Let n be z\/((21\/(-9))\/(-7)). What is the greatest common factor of 105 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**2 + 7*r**2 + 0*r**2 + (-r + r + r)*(-4 + 4 + 3)*(1278 + 13*r - 1278) in the form s*r + t*r**2 + j and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 1. Let d(n) be the first derivative of 1\/2*n**2 + 1\/3*n**3 - 8*n + 1. Calculate d(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -212 divided by 106.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18994?\nAnswer: 2, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.83632mm in kilometers?\nAnswer: 0.00005183632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 8\/6)*57. Suppose 0 = -3*h + y + 14. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*c - 30 + 30)*(-5*c**4 - 10*c**4 + c**4).\nAnswer: 126*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12150323 (base 6) in base 15?\nAnswer: 79cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*r**2 - 1234\/5*r - 2\/5*r**3 - 616\/5 = 0.\nAnswer: -308, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -96.3 + 13.3. Let i = 82.624 + o. Let t = -0.024 + i. Put t, -7, -1 in descending order.\nAnswer: t, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14562.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97081615 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 - 24. Sort z, 8, 96 in ascending order.\nAnswer: z, 8, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235214231.\nAnswer: 7, 61, 149, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/(-126) - (-158)\/315 - (10 + -10))*5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -19*t**7\/840 - 19*t**6\/360 - t**3 - 25. Let g(l) be the third derivative of n(l). Find the third derivative of g(h) wrt h.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 6*y = -10*y - 572, u - 125 = -5*y. Let d = u - 135. Solve -2*o - 5*w = o - 20, -5*o - d*w + 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-24) + (-6 + 3 - 152\/(-32)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1441 + -6078?\nAnswer: -7530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((450\/(-40))\/(-9))\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of b**8\/60480 - b**7\/15120 - b**5\/15 - 4*b**2. Let i(x) be the third derivative of j(x). Find o such that i(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110110 (base 2) to base 6.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*x - h - 2, 8 = -3*x + 5*h. Suppose 0 = 3*c + x*k + 14, -c = -3*c + 5*k + 29. Suppose 8 = 6*u - c*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 176122502 and 799749.\nAnswer: 1585102518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*d + 14*d**2 - 12*d**2 + 12 + 10*d - 10 in the form o + t*d + s*d**2 and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/35)\/(1\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1737293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -5*a**5\/3 + 50*a**4\/3 + 70*a**3 - 140*a**2\/3 - 685*a\/3 - 130 = 0.\nAnswer: -3, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -350*d**3 + 2*d**2 - 2*d - 37. Is j(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/17, 41, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/15 + 33496*b\/5 + 803776\/15.\nAnswer: 2*(b + 8)*(b + 50236)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -1.9, 29\/3, -3\/61, 1\/2?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j - 6. Let y be b(5). Let r be 4 + (0 - -2 - 2). Let x(c) = -c**3 + 7*c**2 - 5*c + 10. Let t be x(6). Solve r = -y*g + t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*d - 2*d - 34*d - 35669*d**2 + 35642*d**2 + d to n*d**2 + s + c*d and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -424 - -423. Let p(i) be the third derivative of 7*i**5\/60 + i**4\/3 - i**3\/3 - i**2. Let n(s) = -s**2 - s. Give x*p(y) - 6*n(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -781*r + 781*r + 21*r**2 - 31*r**3 wrt r.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 6 + (-2)\/2. Let f = -7 + 15. Let k = f - b. Solve 0 = -2*m + m + k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is bae + -18ec?\nAnswer: -c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 574841767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20706578 is divided by 190?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1453 (base 7) in base 2?\nAnswer: 1001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23303124 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-1*sqrt(216) + sqrt(216))*-5)\/(-1*((sqrt(432) + (-1*sqrt(432) - sqrt(432)) - sqrt(432)) + sqrt(432)) - -4*1*sqrt(432)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(363) - (2 + sqrt(363))) + (-2 + sqrt(147))*-4)**2.\nAnswer: -112*sqrt(3) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 826041 is divided by 9718.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 2*v**5\/5 - 254*v**4\/5 + 5994*v**3\/5 + 19526*v**2\/5 + 20044*v\/5 + 6768\/5 = 0.\nAnswer: -1, 36, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12917957 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a = 79 + 389. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 7:50 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 6*g + 7*g + 145, -2*n = -12*g - 108. What is the remainder when 3071 is divided by n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6069 + 62. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - -4)*(-3030)\/(-5). Let r = 28957\/12 - u. Let i = 12751\/2316 + 15\/193. Calculate the common denominator of r and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 8:14 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x**2 + 7. Let m(c) = c**2 + 2. Let t(o) = 14*m(o) - 4*z(o). Let a(u) = -u**2 + 8. Let j(q) = -3. Let n(s) = 3*a(s) + 8*j(s). Calculate n(t(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -4.47271 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*y**2 - 25*y**2 - 143*y + 136*y to i*y**2 + a + l*y and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 2)*(2*r**4 - 2*r**4 + 2*r**4) + 0*r**3 + 2*r**4 + 0*r**3 + (-2*r**3 - 3 + 3)*(-2*r + 4*r + 0*r) - 453*r**4 - 684*r**4 - 1037*r**4.\nAnswer: -2180*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35 + 14. Let c = o - -35. List the prime factors of 35\/c*(2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 298 and 2791013317.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f + 1. Let x be c(-1). Suppose -x*u = -3*u - 54. Suppose -r + 5*r - a = u, -3*a + 31 = 4*r. Calculate the least common multiple of 4 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*u + 57*u = 149*u - 671424. Is u a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**1*z)**14*(z**(-2\/3)*z)**8)\/((z**2)**(1\/49))**(2\/81) assuming z is positive.\nAnswer: z**(177278\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 4*y**5\/9 - 104*y**4\/3 + 3352*y**3\/9 - 1376*y**2 + 15940*y\/9 - 2200\/3 = 0.\nAnswer: 1, 5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/((-21)\/(-6)) - -7. Suppose l*g = 4*g + 335. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -508*s - 24 = -512*s + 3*r, 30 = 5*s + 5*r for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 197*n - 200*n + 4*o, 4*n - o = 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p - 8 + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -127417*-1.07\nAnswer: 136336.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -510*f. Let y(h) = 15*h**2 + 1840*h. What is y(u(s))?\nAnswer: 3901500*s**2 - 938400*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/84*6*3\/(-21)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -43499, -44735, -45971, -47207, -48443, -49679?\n\"Answer: -1236*x - 42263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 785600085*y**3 + 427611020*y wrt y.\nAnswer: 4713600510*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 50*5\/(75\/(-6)). Let w = 23 + o. Suppose 5*n = w*n. Solve n = -h - 2*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u + 6. What is the remainder when 28 is divided by a(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 5. List the prime factors of f + 3\/3 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -135333015242 + 5?\nAnswer: -135333015233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4221.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 4*a**2)*(2*a - 2 - 6*a + 2*a).\nAnswer: -8*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -9, -17, -43, -99, -197, -349?\n\"Answer: -2*w**3 + 3*w**2 - 3*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 132\/9*18\/12. Suppose h = -3*v + f, 2*v - 4*v = 5*h - 6. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - ((-4914)\/(-77))\/(-13)) + 6\/(-6)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11052*-3389.\nAnswer: -37455228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 259223031.\nAnswer: 3, 9600853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2179 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 10*v + 11. Let n be r(2). Suppose -5*s - 17 - 3 = 0, -5*b + 4*s = -n. Suppose -938680 = -b*z - 17138680. What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 249 = -11*u + 12*u, 3*y = 0. Let i = -214 - u. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-9)*v\/(v*v\/((v*v**(-2))\/v*v))*v assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3 = -0, 2*o = -4*x + 34. Let w be (18\/(-8))\/((-1)\/4). Suppose i - w = o. Solve 4*r + i = r + 4*c, -5*r - 2*c + 10 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -387.73 - 9.27. Let p = o + 392. What is the biggest value in 3, p, 1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.059 + 118.059. Let m = 267920433.3 + -267920315.2999849. Let x = m - z. Round x to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30744301?\nAnswer: 7, 41, 107123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -58539135.55 to the nearest 1000000.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**6\/120 + 11*o**5\/60 - o**4\/2 + 2*o**3\/3 - 19*o**2 + 2. What is the remainder when 55 is divided by z(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5289 divided by 129\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 43608 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 8 = m. Let j = 14 - 10. Suppose -j*a = m - 22. What is the smallest common multiple of 11 and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 18 = m + 2, 4*r + 56 = -4*m. What is the closest to -2 in -3, m, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 PM and 12:31 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -389715, -32, -4 in increasing order.\nAnswer: -389715, -32, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15164 and 36.\nAnswer: 136476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -74550326 (base 8) in base 9?\nAnswer: -32843684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*i + 3 = h - 213*i, -30*h = -5*i + 35 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 + -28. Suppose 0*a - 4*a - 5*n = -249, -5*a + 324 = q*n. What is the remainder when 2\/(-11) + 342\/a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2256242 + 1?\nAnswer: -2256241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -4*o**3 - 6*o**2 + 9*o + 6. Let c(k) = -5*k**3 - 7*k**2 + 10*k + 7. Suppose 0 = -4*a + 58 - 42. Let m(j) = a*s(j) - 3*c(j). Give m(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 13\/(-3) - (-2)\/6. Let z = 0 - r. Suppose 15 = z*v - 33. Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3040 times -8710?\nAnswer: -26478400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32.7102666871 - -2.\nAnswer: -30.7102666871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64 and 87918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 11*n**2 - 5*n - 2. Let g(b) = -b. Let w(m) = 5*g(m) - y(m). Let f(v) = 2*v. Give f(w(z)).\nAnswer: -22*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19713*i - 59349 = -18900*i for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3)*(0*n**2 - 9*n**2 + n**2) - 6*n**2 + 46*n**2 - 11*n**2.\nAnswer: 53*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + -1 - (0 + 1). Let m(c) = 7*c**3 + 12*c**2 - 7*c. Let x(l) = l**3 + 2*l**2 - l. Let a be 4*(-12)\/(-20)*5\/2. Let f(w) = a*x(w) - m(w). Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 5*p + 10. Does 6 divide r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72302815?\nAnswer: 5, 13, 1112351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110 (base 2) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4 + 787302*y**3 - 154962684397*y**2 + 619841289996*y - 619838140804.\nAnswer: -(y - 393649)**2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 3 - 11 = 0. Let t = -5 + g. Let j be (-1 - 2) + 6 - t. Solve 0 = j*k - 4 + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 91*s - 13*s - 77*s. Suppose 18 - 6 = -3*j. Let d(u) = -3*u**2 + 4*u - 1. Calculate j*z(v) + d(v).\nAnswer: -3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/17)*c)\/c)**39*(c\/(c**(-4)\/c))**(-1\/11) assuming c is positive.\nAnswer: c**(-960\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/12)*g**(2\/11)\/g)\/(g*((g\/(g**(-9)*g))\/g)\/g*g**(-2\/15)) assuming g is positive.\nAnswer: g**(-5677\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by 42\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 54 + -87.2. Let k = -33 - m. Let o be 6\/(1 - (2 - 3)). Which is the smallest value?  (a) 1  (b) o  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 98 = 4*f, 82 = 2*u + 3*u + 4*f. Suppose 5*w - 2*i - 30 = 3*i, -w + 4*i = -u. Let d = w + 8. Calculate the remainder when 28 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -10*v + 15*v. Suppose 2*u - 57 - 35 = v*i, 0 = 5*u + 2*i - 242. Suppose -h + u = -5*x, -336 = -5*h + 2*x - 73. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10403 = -53*f + 154*f. What is the remainder when 629 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0574317769 rounded to 6 decimal places?\nAnswer: 0.057432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 546 and 28.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171*q = 177*q - 30. Let r(p) = -p**3 - 4*p**2 - 3*p. Let c(z) = z**3 + 3*z**2 + 2*z. Give q*c(l) + 4*r(l).\nAnswer: l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n - 213 - 19*n + 213 + 10*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -2*q - 0*q + 305, 10 = 2*q. Let s = z + -32. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 91 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1314967636.\nAnswer: 2, 328741909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*c**2 + c**2 - 948*c**4 - 857 + 431*c**4 + 470*c**4 wrt c.\nAnswer: -188*c**3 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.037 + -0.086. Let g = 38.951 - s. Let x = -37 + g. Which is the second biggest value?  (a) 3  (b) 1\/12  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.13 times 0.3?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 27 and -1090722.\nAnswer: -1090695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (52528\/(-6272))\/(6\/(-208) + (-44)\/(-286))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 AM and 5:35 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*n**4 + 7*n**3 + 49*n**2 - 1?\nAnswer: -120*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 0) + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w + 2*w - 4*w + (3 + 0 - 1)*(3*w - 2*w - 3*w) - 11*w + 13 - 13 - 2*w - 2*w + 6*w in the form c*w + i and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -7. Let v(u) = 4*u - 4*u + 1 + 3*u. Calculate the remainder when v(3) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006411 rounded to 5 dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (8 - 4 - -2)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.8 + 4. Let g = 0.3 + t. Which is the biggest value?  (a) 1\/4  (b) g  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4802 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-5*(-6*(sqrt(891) - 1*sqrt(891)*-2) + (1*sqrt(891) + sqrt(891))*-4 + -3))**2.\nAnswer: 35100*sqrt(11) + 15058125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 6) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77198651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28369, 28434, 28497, 28558, 28617?\nAnswer: 28674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*v + 9203 = 3*v, 7363 = -4*l - v. Let o be l\/(-28) - 4\/(-14). Are o and 65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 4 + (-2 + sqrt(1331))**2)*-4.\nAnswer: -5364 + 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-4*(4 + sqrt(2156)*1 - sqrt(2156)))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8862 - -8862.5. Sort -3\/2, l, 3, 0.1, 2.\nAnswer: -3\/2, 0.1, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 33*g**2 - 247*g - 72. Calculate a(-20).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*p - 3 = -103*p. Suppose 0*x - 3*h + 844 = 5*x, p*x = -5*h + 500. Suppose 5*d = 5*w + 825, 5*d - 2*w - x - 670 = 0. List the prime factors of d.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.382372 - 68789.\nAnswer: -68788.617628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1276614990, 1276614988, 1276614986, 1276614984, 1276614982, 1276614980?\nAnswer: 1276614978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.19 - -70.19. Let v = 42 - m. Let o = -27.7 - v. Which is the third smallest value?  (a) -8  (b) o  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ikqi when four letters picked without replacement from {e: 4, k: 1, g: 2, q: 1, b: 2, i: 2}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-11) + 1663668\/(-1056). Let f = 3343 + -1770. Let a = f + d. Calculate the common denominator of a and -109\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4047 and 1988.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 29.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 5, 2, -3921, 1\/3 in increasing order.\nAnswer: -3921, -0.3, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**5\/60 - 6*h**2. Let l(x) be the first derivative of -4*x**3\/3 + 17. Give q(l(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of l**5\/240 - 83*l**4\/96 + 41*l**3\/12 - 13*l**2 + 12*l. Factor v(y).\nAnswer: (y - 82)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-36 + 8358243*n - 8358241*n - 13 + 2*n**3)*(-25 - 5*n + 25) in the form h*n**2 + j*n**3 + b*n + r + i*n**4 and give b.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 14 = 8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -82*a**4 + 0*a**3 + 4*a**4 + 5*a**3 - 3*a**3 + 2 as g*a + d + s*a**3 + q*a**2 + k*a**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 108\/5 - 4\/(-10). Suppose -24 = -93*a + 87*a. Suppose 0 = 2*i - a*r - c - 6, -2*i = -2*r - 24. What is the smallest common multiple of 18 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*o = 17*o + 46*o + o + 15853 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131 = -5*q - 3*n, 0 = -5*q - 3*n + 2*n + 127. Suppose -q = -3*m - 2*m - 4*c, 4*c = 4*m - 20. Put -1, m, 1, -4 in increasing order.\nAnswer: -4, -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9512.407 milligrams to kilograms.\nAnswer: 0.009512407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -125, -509, -1143, -2021, -3137, -4485, -6059, -7853?\n\"Answer: r**3 - 131*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212777.55 months to decades.\nAnswer: 1773.14625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.65 + 0.05. Let c = -83.3 + 87. Let k = y + c. Round k to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32442 - -97321\/3. What is the closest to 0 in l, -8, -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/3 - 12\/5. Let d(z) = z**2 + z + 4. Let m be d(0). Suppose m = 3*v + 1. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3238, -3353, -3540, -3793, -4106, -4473, -4888?\n\"Answer: k**3 - 42*k**2 + 4*k - 3201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8, 13, 20, 29?\n\"Answer: t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 11:27 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*o**3 - 4*o**2 + 13*o**2 - 9*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5+1291\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*y + 3. Let s = 4 - y. Let z = s + 6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 889*a - 201*a - 259*a - 202*a - 218*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -615 + 615.0411. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5892.7 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1422435 take away 1?\nAnswer: -1422436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2483.36 - -54.14. What is y rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.9, 0, 5, -0.2 in ascending order.\nAnswer: -0.9, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 73308\/(-27140) - (17 - 13). Let i = -52463 + 142384579\/2714. Let t = i - z. What is the common denominator of t and 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - h = 4, 0 = -3*a - a - 4*h - 4. Solve -a = -z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 5*v + 95, 653*i = 650*i + 5*v - 101 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*y + 46*y - 6 = 0. Let i(x) be the second derivative of 0*x**y + 5\/12*x**4 + 2*x + 0 + 0*x**2. Let b(l) = 2*l**2. What is i(b(k))?\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2218527037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*h - 4576 = 113*h - 272*h. Let n(g) = g**2 + 4*g + 1. Let d be n(4). What is the highest common factor of d and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -7*v + 86. Let a be (-3)\/(-1) - (-10 - -1). Let j be n(a). Solve -c + j*r = 9, 5*c + 20 = -0*c + 5*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 14*a**2 + 13*a + 18. What are the prime factors of m(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g**3 - 5*g**3 - 3*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -z**3\/3 - 2*z**2 - 3*z - 7. Suppose -33*j - 225 = 12*j. Determine g(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + -1)*(10 + -7). Let f be a\/((9\/5)\/3). Solve 0 = 4*s + 5*k - 16, s = -s - f*k + 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 5. Let q be z(8). Let m(g) be the first derivative of 14*g**2 + 0 + 2*g - 2*g**q + 3 - 12*g**2. Suppose m(k) = 0. What is k?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7 + 7 - 2\/4)*-46. Suppose 0 = l*p + 16*p. Solve p*z + 0*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 10*b**2 + 11*b + 21. Let u be h(-9). What is the closest to 2\/13 in u, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63 divided by -493969.\nAnswer: 9\/70567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3834 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-75)\/(-30)*-2*4\/(-70). Let w = 32.5 - 30. Let v = w + -5. What is the closest to v in h, -2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2398 - -974. Is -1425 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(((-39)\/(-6))\/(25\/25)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*m - 8*m - 847 = -22*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**2 + 7*c**3 - 4*c**2 + 198*c**3 + 8*c**2.\nAnswer: 205*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 19, 26, 29, 28, 23?\n\"Answer: -2*q**2 + 13*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 126 + -123. Sort 1, m, -1 in increasing order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -4*a**3 + 3*a**2 + 3*a - 3. Let p(f) = -9*f**3 + 7*f**2 + 7*f - 7. Calculate 3*p(o) - 7*w(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - 2) + 17 + -14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.153021156 and 0.4.\nAnswer: 0.553021156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*i + 175 + 53 = 0. Let f(q) = q**3 - q**2 - q - 3. Let j be f(0). Let d(r) = r**2 + r - 4. Calculate the remainder when i is divided by d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence df when two letters picked without replacement from {g: 1, p: 3, m: 6, d: 2, f: 1, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -28?  (a) 5  (b) -299  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-26)\/(-6) + (-1)\/3. Suppose -j - 5*o = -3*j - 12, l*j + 2*o - 24 = 0. What is the first derivative of 1 + 4*x**4 + x**4 - 3*x**j wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j - 13. Calculate k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ad when two letters picked without replacement from pwwadvvwrdwvddd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -132022 (base 4) in base 5?\nAnswer: -30210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f**4*q - 39*f**3*q**3 - 3*q**3 + 2*q**2 wrt f?\nAnswer: -4*f**3*q - 117*f**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -0.5  (b) -3  (c) 0.5  (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -22  (b) 10  (c) -2  (d) -2\/5  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 1010001011100100100011100?\nAnswer: 1010001011100100100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 13*c + 1845119 - 159375 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 260 + -271.5. Let v = -11.49999743 - o. What is v rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -w**3\/3 + 7*w - 7. Let r(n) be the first derivative of j(n). Let u(b) = 7*b**2. Determine r(u(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 <= 9059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 5*a**2 - 3*a + 15. Let l be (-9)\/(-3*4\/8). Let d be t(l). Suppose -d*z = -29*z - 912. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, a: 1, u: 3, q: 5}. Give prob of sequence aq.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 136771\/14 + -9769. Calculate the common denominator of 53\/42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6889 + -103337\/15. What is the third smallest value in v, -1, -507, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 2)*(-4 + 4). Suppose 12 = 3*g - 5*t - 19, h = 2*g - t - 9. Suppose -3*z - 17 = -4*a + 28, -g*z = a - 25. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13136 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 117 and 318786?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 13965*p**2 - 375*p - 4553. Is g(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - m**2 + m - 1. Let f(t) = -t**3 - t**2 + 4*t - 1. Let u(j) = f(j) - 2*o(j). Let s be u(-1). Is s less than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of v**6\/540 + 44*v**5\/135 - 179*v**4\/108 + 10*v**3\/3 + 3*v**2 - 33*v. Factor w(m).\nAnswer: 2*(m - 1)**2*(m + 90)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 AM and 1:56 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62.4 - 32.8. Let t = 95 + o. Which is the closest to 0?  (a) -2\/29  (b) t  (c) 0.4  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000197 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-1 + -2) - -17) + 88894 + -88946.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -523523 by 47593.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/(-9))\/((-1)\/795) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10022121 (base 3) to base 16\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6 + 405\/10)\/((-3)\/(-8)). Let k = 92 - s. Let m(y) be the second derivative of y**5\/20 - y**3\/6 - y**2\/2 - y. Calculate m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -30717\nAnswer: 2\/10239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 218505 or 2403554\/11?\nAnswer: 218505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08253476 to 3 decimal places.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000137504666 to 7 decimal places.\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -28, -72, -154, -286?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*f - 18. Suppose -2*h - 2*h - 2*r - 56 = 0, 2*r + 24 = -2*h. Let p = -14 - h. Solve -f*c = p*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156 - (-1 + 61 + (805 - 854)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-36))\/(9\/54)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -88, -1, -2, 5 in descending order.\nAnswer: 5, -1, -2, -11, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 52402*p**3 + 52430*p**3 - 104831*p**3.\nAnswer: p**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 2*z + 4 = w, -4*w + 4 = 2*z. Suppose 6 + 9 = 5*p. Let d = p + w. What is the lowest common multiple of d and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 3 + 5*f**2 - 3*f - 4*f**2 + 2*f**2 + 3*f**2. Is w(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2922 + -3152.92. Round l to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -153662 + -3046.85.\nAnswer: -156708.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.12, 4, 23, 0.4, -0.2, -1.3, 3\/7?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 3. Let t(z) = 5*z**2 - 3*z - 3. Calculate the remainder when t(5) is divided by -55*(y + (5 - -1)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -9. Which is the closest to 0.1?  (a) 0  (b) v  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, 5, -1, 1\/2, 0.85?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4ce8 (base 15) to base 3.\nAnswer: 211112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 680 + -482. Let a = p - 43. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -124.331 - -124. What is o rounded to 2 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/11 - (48 - (-1014185)\/(-20999)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/7266 and -83\/217980?\nAnswer: 217980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m - 3*j = -2*j - 26, -2*m - 36 = -4*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h + 22 = -3*f + h, 5*h = -25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -8. Let w be 4\/((-12)\/(-9)) - 7. Let v be 65\/(-91) - w\/(-14). Is v bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z + 1. Let s be q(-2). Let c(a) be the first derivative of a - 3\/5*a**5 + 0*a**4 + 0*a**2 + 0*a**3 - s. What is the first derivative of c(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uctctttxmutt. Give prob of picking 1 t, 1 c, and 2 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(-3) + -39*12\/378 and 6\/16*-38 + -3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 - 4*g**2 - 5*g - 3. Let q(r) = r - 1. Let n(i) = -b(i) - 3*q(i). Let v(f) = 20*f**2. Let x be v(1). Suppose 0*k + 4*k - x = 0. Calculate n(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -78?  (a) -0.03  (b) 5\/867  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f**2 - 3*f + 7. Let y(r) = 7*r**2 - 7*r + 15. Let a(z) = -5*s(z) + 2*y(z). Let x(w) be the first derivative of a(w). Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12862731*k**4 - 4191967 with respect to k.\nAnswer: 51450924*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1750*t - 932*t - 922*t)*((2*t + t - 2*t)*(t - 3 + 3) + 0*t**2 - t**2 + 3*t**2) - 2*t**3 - t + t in the form m*t**3 + v*t + w + r*t**2 and give m.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2175287 (base 9) to base 11\nAnswer: -730392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 i when three letters picked without replacement from {w: 7, y: 1, i: 3, a: 1}?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 8*t**2 - 8*t + 5. Let j be s(7). Let o(x) = -38*x + 1. What is the units digit of o(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43 by 4.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6478719*j**2 + 2393983*j wrt j?\nAnswer: -12957438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b**4 - 12238*b**2 - 2*b + 315049 wrt b?\nAnswer: -8*b**3 - 24476*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3275873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33294*m**6 + 2*m**4 + 246800*m**2 - 4 wrt m.\nAnswer: 3995280*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14476 and 373744?\nAnswer: 4111184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -480 + 8?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**3 - 2*q**2 - q - 6. Let p be n(-2). Suppose -17 = -p*c + o, -2 = -2*c - o - 1. Calculate the least common multiple of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2 + 2. Let c(p) = -5*p**2. What is h(c(d))?\nAnswer: 50*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -747*o - 2*o**4 + 2 + 753*o + 2*o**2 - 12*o**3 + o**4 in the form w*o**4 + g*o**2 + h*o**3 + k*o + y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34.7 - 35. Put -2\/3, o, -0.1, 2\/11 in increasing order.\nAnswer: -2\/3, o, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5412 - 3224?\nAnswer: -8636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -50, -2, 4.\nAnswer: -50, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/25 - 2) + -7 + (-5258)\/(-935).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*87\/(-116)*19\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -61 + 96. Suppose -z + h = -4*x, 4*z - 19 - 1 = x. Which is the closest to 2\/7?  (a) 1  (b) 2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, -27 in descending order.\nAnswer: 5, 3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 101, 4, -0.5 in descending order.\nAnswer: 101, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -x - 2, -5*x + 28 = -2*l + 6*l. Let z = x + -1. Let o be (z\/(-2))\/((-12)\/64). Solve -2*r - o = 3*w - 0*r, 0 = -4*r - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(6\/18*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -250*z**2. Suppose -4*r = -3*r - 2*j + 10, 0 = -2*r - 5*j + 16. Let x = r - -4. Let d be p(x). Round d to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -99  (b) 0.03  (c) 4769\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = -g - g + 2*c, 5*g + 4*c = 357. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1022\/5 and -203 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 8 = 7*t. Suppose -5*m = c + 5, -5*c - 3*m - 1 - t = 0. Factor 0*a**2 + 0*a**4 + 0*a + 1\/2*a**5 + c - 1\/2*a**3.\nAnswer: a**3*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(84)\/sqrt(4) - sqrt(21)))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + 1*-5*sqrt(76) - (-4*sqrt(76)*-2 - sqrt(76)))\/((sqrt(36) - (sqrt(216)*1)\/sqrt(6)) + ((sqrt(432) + 2*sqrt(432))\/sqrt(12) - sqrt(36))).\nAnswer: -11*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -d0 - -2?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 8*h**2 + 11*h + 10. Let f be a(-1). Suppose 0 = f*i - 0 - 0. Put i, -5, 8 in decreasing order.\nAnswer: 8, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 69 - 57 = 0, 1300 = u + 5*b. What is the highest common divisor of 480 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/642 and 43\/2140.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) 1\/3  (c) 234  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93.859 + 10.419. What is s rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*24\/4. Let a(w) = w**2 + 3*w. Let f be a(y). Suppose -2*q - 2 + 6 = f. Solve -q*i = 2*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 137, 7, -1, -10, 9, -54 in increasing order.\nAnswer: -54, -10, -1, 7, 9, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 48603735989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-4) - (-3)\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402.3 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4 - 0. Let s be (4\/24)\/((-1)\/b). Which is bigger: s or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 49 in 8\/17, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*a + 34*a**2 - 12*a + 0*a**2 - a**2 + 4*a**2 + 8 + (a + 0 + 0)*(-4*a + 3*a + 3*a) in the form p + i*a + f*a**2 and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -494 + 1?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 2\/3, 2\/11, 0.5, 401\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34121 and 298?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 59942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**3 + 2*x - 1. Let p be s(1). Let b be 2 + -2 - (-1)\/p. Let m = 2.959 - -0.041. What is the second biggest value in 0.2, b, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*d + 110*d + 70*d)*(3 + 3 - 5)*(-d + d - d)*(-2 + 2 - 1).\nAnswer: 153*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/3 - (-1)\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 182 - 171. Let a = 175 + -163. Is a at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1 + (-1)\/(-14))\/((-17)\/(-51)) and 2\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 31841483 and 31841499 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 12  (b) 0.3  (c) 0.5  (d) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y - 170 - 11*y - 40 + 17*y + 51.\nAnswer: y - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 4396.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 3*s = -8. Suppose s*y = 3*y - 504. Is (y\/54)\/((-2)\/(-6)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4403 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -582*c**2 - 18. Let a(q) = 8*q. Determine a(y(i)).\nAnswer: -4656*i**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34120657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 3*x - 4*x + 0 - x + 0 + (4*x - x - 2*x)*(-2 + 6 - 2) - 3 - x + 3 - 3*x + x + 0*x)*(x + 2*x - 2*x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -3953.\nAnswer: -4\/3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35.419 - -0.181. Let l = p - 36. Let x = 2 - 5. Which is the third smallest value?  (a) x  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1183 - 590 - 41*h**2 - 593.\nAnswer: -41*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 100000010111001101010 (base 2) in base 10?\nAnswer: 1060458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -350 divided by -70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 193918819541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4686860979?\nAnswer: 3, 520762331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of 7*t**3\/6 - 2*t**2 + 4*t. Let o be d(1). Solve 2*y - h + 6 = -3*y, 0 = y + o*h - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14668 is divided by 505?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 46 = -v, 5*v - 68 = 8*b + 188. Calculate the remainder when 381 is divided by v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 148384 (base 9) to base 16\nAnswer: 16534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 6\/175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -258.491681 + -0.2.\nAnswer: -258.691681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 - 22. Let l be (-1 + -4)*(v\/10)\/(-3). Let d(o) = o**3 - 3*o**2 - 3*o + 3. Let p(u) = 4*u**3 - 8*u**2 - 8*u + 8. Determine l*d(m) + 3*p(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -0.599.\nAnswer: -4.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - r + 6*r)*(-2*r + 2*r**2 + 2*r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25009810 and 2870?\nAnswer: 1025402210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01272*2.\nAnswer: 0.02544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.2, -0.2, 1.4, 3\/4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07435 to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/15))\/(h*h**(-1\/23)*h) assuming h is positive.\nAnswer: h**(-353\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 131 divided by -1\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178*g**2 + 2 - 2 + 170*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 2*s - 6, 2 = -2*a - s - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -3*t**3 + 7*t**2 + t - 4. Let k(v) = -5*v**3 + 13*v**2 + v - 8. Let r(a) = -4*k(a) + 7*o(a). Determine r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -19.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9236.185086 less than 32?\nAnswer: -9204.185086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -370, -369, -368?\n\"Answer: z - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**2 + 5*o + 21. Let j be c(5). Calculate the remainder when 11\/j - -2 - (-7950)\/40 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 332.38 and -5177?\nAnswer: -1720731.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182*d + 511*d + 37931 + 26897 = -524*d for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19623 and 120.\nAnswer: 784920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 - -21000?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 186, 869, 2012, 3621, 5702, 8261, 11304, 14837?\n\"Answer: u**3 + 224*u**2 + 4*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74697?\nAnswer: 3, 7, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 12 = s - 1, -10 = 2*s + 5*k. Let u(r) = r**3 + 2*r**2 - 6*r. Let p(j) = -2*j**3 - 4*j**2 + 11*j - 1. Let t(z) = s*u(z) + 3*p(z). What is t(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 3*n + 4, -24*w + 29*w + 20 = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 1 + 1)*(-8 + 1 + 6)*(0*l - 4*l + 5*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 27, 51, 75, 99, 123?\n\"Answer: 24*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 4*w + 4. Let k be z(-3). Let b(v) = v**3 - 3*v**2 - 2. Let o be b(4). What is the highest common factor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -242 - 177. Let r = 43 + g. Is -0.1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 242\/(-7) + 6*(-4 + 770\/196)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3008.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56950*q**3 - 1 - 2 - 56962*q**3.\nAnswer: -12*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3011 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2853 - 2853. Solve h*a + 210 = 35*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 2*n - 0*n. Suppose 2*y + 7*y - n = 0. Solve -m - 2*s + y*s = 2, s - 9 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 81.3 + -81. Let o be 9\/(-42)*56\/(-16). What is the closest to -0.3 in o, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k**2 - 3*k - 8. Let d(a) = -a**2 + a - 1. What is 6*d(p) + x(p)?\nAnswer: -p**2 + 3*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9372 = -0*r - 4*r. Suppose -14*h = -11*h - r. Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than -178006299314980?\nAnswer: -178006299314980.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o + 141 + 3*o - 141 + o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001144484908 to seven dps.\nAnswer: 0.0011445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kzj when three letters picked without replacement from kezzkejzfeef?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 281*j + 1434. What is k(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5186)\/14 + (-4)\/((-84)\/9). Let t = s + 376. Let u(l) = -5*l - 10. Let a be u(-8). Calculate the greatest common divisor of a and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + -4. Let m = 10 + l. Sort -6, -1, m.\nAnswer: -6, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 13 = 7 - 8, 5*o - 56*t - 5 = -61*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13628341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 597662066335917\/85937240230 + -6499818034\/711955. Let d = -46\/60353 - f. Let c = 2177 - d. Calculate the common denominator of 25\/14 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 + 87. Let g = 22 - l. Calculate the smallest common multiple of (-16)\/g*(-75)\/(-30) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*s**3 + 34*s - 33*s - 15*s**3 in the form i + x*s**3 + l*s + k*s**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*q = i - 34*q + 17, -13 = 2*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from nynrnmhrrryryx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 267 + -217. What is the least common multiple of 50 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2008*q - 7895. Let m be k(3). Is -1872 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -189 + 160*r**2 - 2*r - 158*r**2 + 2*r in the form h + v*r**2 + c*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-102)\/68)\/((-45)\/40) - 260\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + -25. Let w(x) = -x**2 - 7*x**2 + 3*x**2 + 4*x**2 - x + 3. Let f be w(2). Sort r, 4, f in descending order.\nAnswer: r, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*q + 2*u + 146, q = -84*u + 80*u - 37 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 23\/(1610\/(-231))*4\/48*8\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1, -5, 5\/4, 5.2, -1.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -309787, -309792, -309799, -309808, -309819, -309832, -309847?\n\"Answer: -h**2 - 2*h - 309784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*l - 91*l - 86*l = -42*l + 2442 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/l**7)\/l**(3\/5))\/(l**3)**(-28))**(-23) assuming l is positive.\nAnswer: l**(-8901\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of f**6\/6 - 27*f**5\/5 + 49*f**4\/2 - 142*f**3\/3 + 93*f**2\/2 - 23*f - 538. What is g in t(g) = 0?\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + 4*(sqrt(99)*-2 - sqrt(99)))**2 + (2*(sqrt(99)*2 + sqrt(99)))**2 + (2*sqrt(99) + 4 + (sqrt(99) + -1)*-2)**2)*2.\nAnswer: 31158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -10) + 43 + -48?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*r**2 + 285408 - 285408.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m**3 + 2*m - 4. Let j(l) = 7*l**3 + 5*l - 9. Suppose 14*v + 1013 = 943. Calculate v*h(x) + 2*j(x).\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20100200110100022 - 0?\nAnswer: -20100200110100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(1584) + -2*(0 + sqrt(1584)))**2 - ((-2 + 1*sqrt(1584))**2 + (6*(sqrt(1584) + 1) - sqrt(1584))))*-4.\nAnswer: -60 + 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/2)*b)**(-6))**(2\/7)\/((b**(1\/2)*b)**47*(b**(-1))**22) assuming b is positive.\nAnswer: b**(-715\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**(-5)*l**8*l**(17\/5)*l*l\/(l**(-21)*l*l*l) assuming l is positive.\nAnswer: l**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 651 - 654. What is the second smallest value in -1\/114, i, -11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 15 = 3*v, -3*v + 2 = -v. Let q be 0 + 87*(-15)\/o. Suppose 8*f + q - 921 = 0. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45.32 times -6\nAnswer: -271.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-2)\/(-4)*-1*(-55)\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8554, 8552, 8552, 8554, 8558?\nAnswer: 8564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -27*s**2 - 4*s + 8. Let v(q) = q**2 + q - 1. What is -l(y) - 6*v(y)?\nAnswer: 21*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1544\/9 - 172. What is the common denominator of r and -67\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 4)*(-4 + 7 + 1)*(2*i - 5*i + 2*i) - 3*i - i + 5*i + (-5 + 2 + 2)*(2 - 2 - 2*i).\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -117456 (base 8) in base 5?\nAnswer: -2301000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 153 + 2 - (-315 + 393)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + 2 - 1) + 38. Let w = 256 - g. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 40*y**3 - 3*y - 73 + 2*y + 145 - 41*y**3 - 73 + 2*y. Let p(x) = x**3 - 3*x + 3. Suppose 0 = 4*c - s - 10, c + 2 - 13 = -4*s. Calculate c*r(u) + p(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 4, -3*q - s = -73 - 1. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.06, -5, 16314, 2\/13.\nAnswer: -5, -0.5, 0.06, 2\/13, 16314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 8*u + 7. Let g be r(7). Suppose -2*k + 3 + 5 = g. Solve n - k*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11779421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 + -11. Let g = q - 1. Suppose 41 = -g*o + 98. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90 is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 5*b. Suppose 8*g + 5 + 3 = b. Which is smaller: g or -4\/27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 4*t + 56. Let d be o(-13). Let k be 1 + -4 + 6 - 13\/d. Which is the closest to 1\/3?  (a) -3\/10  (b) -3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 991\/4677 - 3126884\/15382653. Find the common denominator of -17\/2277 and i.\nAnswer: 29601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8732*k + 3 = 8735*k - u, 6*u - 4*u = -12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.982 * 0.003.\nAnswer: -0.050946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -8. Let f be (-30)\/40*4\/b. Do -1\/2 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-19855)\/(-11913)*(-1)\/670*6\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 303701 < 303696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 3*y**3 + 154*y**2 - 104*y - 2. Let l be i(-52). Put 0, l, -4, 51, 2 in decreasing order.\nAnswer: 51, 2, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126407 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -351084914*q**4 - 16566*q**2 - 6798*q wrt q?\nAnswer: -8426037936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3*w**3 - 4 + 2*w + 1 - 6*w - 2*w**3 + 3*w**2. What is k(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n. Let r(k) = k**2 - 2835*k. Determine r(l(y)).\nAnswer: 9*y**2 + 8505*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v**5\/5 + 6189*v**4 - 20053854*v**3\/5 + 133880253*v**2\/5 + 49775916*v\/5 - 104189148\/5 = 0. What is v?\nAnswer: -1, 3\/4, 7, 1286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24614 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3 + 5. Let g(z) = 162*z**2 - 3*z - 1. Let y be g(i). Suppose 0 = 2*u - y - 102. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 8. Put y, 0.1, -5 in decreasing order.\nAnswer: y, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u**2 - 4. What is v(4)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 166648638 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 3:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -10*u**5\/3 - 1844*u**4\/3 - 2470*u**3\/3 + 5596*u**2 - 2928*u = 0.\nAnswer: -183, -4, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = t + 18, t = 10272*v - 10273*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17 and 4811?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/7 and (1\/7)\/(77\/649)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 114, 148, -376, -1932, -4994, -10036, -17532, -27956?\n\"Answer: -79*y**3 + 195*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37875930 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-9)\/((-45)\/35)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z + 398 = z - 4*i, 26*z - 31*z + 4*i = 180 + 37 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3902 - 3903.7. What is the third smallest value in r, -34\/5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that z**2\/3 - 332918*z\/3 + 24297685\/3 = 0.\nAnswer: 73, 332845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s + 2*s**3 - 3 + 3 - 4 + 7 to the form c + j*s + b*s**3 + x*s**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13619, -25072, -36527, -47984, -59443, -70904, -82367?\nAnswer: -93832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve -41*v + 522 + 655 = 111 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 565 a factor of 25965296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 8 - ((-8 - -11) + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1793, -1786, -1767, -1730, -1669?\n\"Answer: g**3 - 1794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 greater than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-8) - (-100)\/(-80)) + 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 - -2 - (2 + -11). Let d(m) = m**2 - m**3 - j + m + 12 + 5*m. What is the smallest common multiple of 4 and d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jppffjpjpppjpfpj. What is prob of sequence fj?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*(3 + 10\/(-5)). Let w be 4*a\/20*4. Solve -2*o - 4 = -w*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 5267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 258672101?\nAnswer: 157, 337, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - w + 1. Let g(j) = 600*j**2 + 291*j + 2. Let c(a) = -2*g(a) + 4*z(a). Find the second derivative of c(m) wrt m.\nAnswer: -2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 21901 = 10485. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 319, 317, 315, 313, 311?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3060, -13098, -31418, -59322, -98112, -149090?\nAnswer: -213558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 26 = -5*x. Let k be 144\/78 + 2\/x. Suppose 3*l = 3*n + 7*l + k, -2*n + 2 = l. Do 3\/4 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21380748?\nAnswer: 2, 3, 739, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + sqrt(2057)) - (4 + sqrt(17) + sqrt(272) + (sqrt(17) - (-5 + sqrt(17)*-2))).\nAnswer: -9 + 58*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1509 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*o + 7. Suppose 7*t = o*t - 16. Is (-2109)\/(-4) - t\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w + 2. Suppose 2*x - 5*j + 10 = 0, -2*j + 4 = -j. Let l be d(x). Find the third derivative of l*a**4 - a**2 - 3*a**4 + 0*a**4 wrt a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -153*b**3 - 5*b - 6. Give m(-1).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17748281*l**2 + 39281851 wrt l.\nAnswer: -35496562*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26033743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) -3\/8  (c) 2  (d) 3  (e) -2707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58407, -233825, -526185, -935481, -1461707?\nAnswer: -2104857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1586 = -27116*b + 27055*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3.9 times 12\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -14, -251, -0.02 in increasing order.\nAnswer: -251, -14, -0.02, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -16.5. Let r be 3\/5 + (-1 - -1). Let b = 3.44 - -0.56. What is the closest to 0.2 in r, v, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a6d + -ad?\nAnswer: 9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 15138317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1360 - 1358.4945. Let j = -1.5 + d. Round j to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 7*h - 11. Let q(v) = v - 1. Determine -b(i) + 4*q(i).\nAnswer: -3*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-7)\/((-42)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, -2\/9, -47, 3, -82?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*i + 76779 = 63*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from iiiqiiiimbbiqilmqiq?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 6*k - 7*k - 14, -10 = 5*k + 5*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 3:42 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and 1829614232.\nAnswer: 1829614232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 AM and 5:28 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 20 = 5*f, -5*v + v = 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h**2 - 4*h + 415. What is the hundreds digit of w(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110110100111000100110000 (base 2) to base 14.\nAnswer: -1c891cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.9 and 7547195.\nAnswer: 29434060.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -24541462 (base 7) in base 11?\nAnswer: -1280922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 952397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b - 30 = 4*j, 4*b + j = 15. Let l be -1*(6 + -3) + 3. Solve l = -q + b*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 208 - 18333.\nAnswer: -18125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqdqqqdqqq. What is prob of sequence qqq?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 1956*g - 7847. What is i(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r - 1. Let s be x(-1). Let u be ((2 - 0) + s)*-4. Let k = 19771 - 19772. Sort 5, k, -4, u in ascending order.\nAnswer: -4, k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2046 = 4*w, -7*w = -8*w - 4*r + 508. Calculate the greatest common divisor of w and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: What is -0.295102058 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 times -67069\nAnswer: -40241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0516 - 0.0016. Let x = 14 + -14.3. Let y = 3 + -3.1. Which is the nearest to m?  (a) y  (b) -1\/4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/(-112) + 2\/4. Let q = 3 + -3.2. Sort -0.1, q, p in ascending order.\nAnswer: q, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3 and -0.15521.\nAnswer: 0.14479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 10260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12167494*o**3 + 2*o**2 + 1057184*o + 1 wrt o.\nAnswer: -73004964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 570 - -10b9?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -3002240320?\nAnswer: -3002240314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 0*f - 20. Suppose 99 = f*r + 19. Calculate the lowest common multiple of 16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2182 and 1259197?\nAnswer: 1257015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 90\/((-9)\/3)*28\/(-6). Suppose -2*b = -u + 38. What is the greatest common factor of b and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(162\/20))\/((-8)\/36)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 43*r + 45*r = -6, 19*m + 2*r + 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h + 3. Let z be m(0). Suppose -z*a + 456 = a + 4*p, 4*p = 4*a - 480. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 AM and 3:47 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -1\/2  (b) 0.3  (c) -3\/5  (d) -11  (e) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*d + 0*d + 18264 = 0. Let i = 758 + d. Let n(l) = 3*l**2 + 3*l - 4. Give n(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 73\/92941, -5?\nAnswer: 73\/92941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o + 9. Suppose -198 = -14*m + 26. Suppose -5*s + m - 46 = 0. Determine b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -44\/235 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5010, -10015, -15018, -20019, -25018?\n\"Answer: h**2 - 5008*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + 1 - (-2 + -2). What is the hundreds digit of k + 1 - (-688 + 28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 660*k**3 + 680*k**3 - 2*k**2 - 1342*k**3 + 2*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) 340  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*a - 43 = 38*a. Let s = 48 + a. Find the third derivative of -235*v**5 + 13*v**6 + 12*v**2 + 235*v**s wrt v.\nAnswer: 1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 2*y = 5, -5*y = 1 - 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 5. Suppose -4 = -m*c + 4. Suppose 4 = 4*o + 20, -2*o = -c*q + 16. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 7*x - 6*x - 2 + 5*x. Let q(t) = -7*t + 3. Calculate -3*f(a) - 2*q(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 24294 divided by 4049?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/3 + (-110)\/(-15). Solve -u = -4*k - h + 1, -20 = -4*k - 4*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*i = -83*i - 360. Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*r + 5*u, 3*r + 2*u = 49 - 27. Let t = 12 - 4. Let i = 10 - 10. Solve -2*x - 2*h + r = i, -t = 4*x - h + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -8. What is the third derivative of 10*c**2 - 5*c**2 + u*c**2 - 7*c**5 wrt c?\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 3*c**2 + 4. Let y be j(3). Find the third derivative of 0*s**4 - 3*s**4 + y*s**2 - 3*s**2 + s**4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 5*i + 36, 4*a = 4*i + 29 + 3. Solve 0 = a*q + 3*y + 10, y = 5*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.569979 kilograms in micrograms?\nAnswer: 5569979000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 85 = -2*j - 75, 0 = -2*t + 3*j - 15. Suppose -q + 7 - 3 = 0. Solve t = q*f + 2*v - 28, -f + v = 2*v - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 3*g - 3*u, -2*g = -3*g + 4*u + 36. Let s = 26 - g. Let w(m) be the second derivative of m**3\/6 - 2*m**2 - m. Give w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1273 is divided by 629?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - -1. Suppose 2*g - 1 = q. Let m(z) = 2*z**g + 7*z + 3*z**2 + 3*z**3 - 4*z**3 - 2. Give m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24\/11 + 2\/11*n + 2\/11*n**2.\nAnswer: 2*(n - 3)*(n + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7624.5 to the nearest 10.\nAnswer: -7620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704) - (sqrt(704)*1 + sqrt(704)) - (sqrt(44)*-2 + sqrt(11)))**2*-4*1.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u - 7. Let a be x(-5). Suppose -a*t + 2*i + 5 = 0, 1 + 5 = 3*i. Solve -t*d + 1 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*((sqrt(440)*1 - sqrt(440)) + sqrt(440)) + sqrt(440))\/(sqrt(1331)*-2))\/(-5*-5*sqrt(8)*1*4).\nAnswer: sqrt(5)\/1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -21\/37  (b) 0.1  (c) 2\/13  (d) -4  (e) 0.4  (f) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -36*r**3 + 16*r**2 - 274*r - 11. Let f(p) = 23*p**3 - 10*p**2 + 183*p + 7. Give -8*f(j) - 5*v(j).\nAnswer: -4*j**3 - 94*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 1130 - 322 = 0. Let x = k - -607. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from nzunhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 8) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 78*x + 91*x + 88*x + 3 - 244*x. Let d be m(2). Calculate the greatest common factor of d and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1817651 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25294 * -465.\nAnswer: 11761710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**2 - 8*f - 5. Let t be k(5). What are the prime factors of 46 - t\/(10\/6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -292 + 277 + 137 + 134*p**3 with respect to p.\nAnswer: 402*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2814 = 81*m - 79*m. Does 43 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - 42\/(-15))*-10. Let y be (-30)\/k - 2\/(-8). Suppose 31 + 19 = y*f - 2*n, 20 = 2*f + 4*n. Solve -6*m = -3*m + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 144 by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, g: 2, l: 4, j: 1, n: 1}. Give prob of sequence sggj.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -652142*q = -652094*q + 2976 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z + 11. Let f be t(10). Which is the closest to 0?  (a) -3\/8  (b) f  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (153\/68)\/((-1)\/(-20)). Let p = i + -30. What is the remainder when 88 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 6, -l = -4*p - 2*l + 27. Let g(r) = r**2 - 4. Let d be g(p). Suppose 0 = 3*k + 5 - d. Solve k*u - 4*u = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-7)\/(u**(-1\/10)\/u)*u**(-1\/6)\/(u*u**(-6)))**28)**(1\/36) assuming u is positive.\nAnswer: u**(-112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 3 + 2)*(-2 + 3 - 3) + 6 - 7 - 9)*(-4*i**2 + 3*i**2 - i**2).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(273)\/sqrt(343) - (sqrt(2496) + sqrt(39))*4)\/(sqrt(108)*-2*2 + sqrt(108) - sqrt(108) - sqrt(108)*-1*2).\nAnswer: 251*sqrt(13)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -893 or -892?\nAnswer: -893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -93, -211, -377, -591, -853, -1163?\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12035215843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.5453 rounded to one decimal place?\nAnswer: 48.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 8*r - 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32.87 + 340.429161.\nAnswer: 307.559161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -61*x - 1. Let u(i) = -7*i. What is -2*u(k) + z(k)?\nAnswer: -47*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -465 - -252423?\nAnswer: 251625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -171 - -479. Suppose -5*y + g = -p, 2*y - 68 = y - 3*p. What is the remainder when y is divided by (2\/(-5))\/((-2)\/80)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 220 and 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 63459 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: Suppose 4*v - 43 = -4*q + 5, 0 = -2*v + 5*q - 11. Suppose -15 = v*g - 8. Which is the closest to g?  (a) -1\/6  (b) 2\/9  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.042 + 0.9.\nAnswer: 0.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 2*j**2 - 3*j + 2. Calculate the lowest common multiple of 1 and v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13251389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 12*w - 5. Let v be 3 - (1 - (2 + -2)). Suppose 3*l = 9, v*m + 3 = -0*m + 5*l. Is d(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 27. Let q = l + -12.97. Round q to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20271 + 67?\nAnswer: -20204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -26 in descending order.\nAnswer: 5, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 5*w - 55 = -3*z, -15 = -4*z + 5*w. Let a = -3 - -7. What is the highest common factor of z and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*z + 1399 + 1333 - 8*z - 2732.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*m\/m**14)**(-16))**13)**(-3\/4) assuming m is positive.\nAnswer: m**(-1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/5)\/(123\/615)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 0.1  (b) 3\/5  (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1464)\/24 - 29915\/(-193)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96441.97 years to millennia.\nAnswer: 96.44197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*u, 5*r = -0*r - 2*u + 174. Suppose -3*c + r = -2*c. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 115.6696 - 115. Let n = -0.729 + b. Round n to 3 decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*h - 3*n, 20 = 3*h + h + 4*n. Let i = 1\/2 - -1. Which is the second smallest value?  (a) h  (b) -1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -92, -135, -176, -215?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33.33 - 31.387. Let s = 81.057 + -81. Let q = o + s. What is the closest to 0 in -3, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 47.7. Let k = -0.0309 + 1.8309. Let r = f - k. Which is the second smallest value?  (a) 3\/5  (b) r  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**3 + i**2 - 2*i - 4. Let f be u(-2). Let d be 5\/f + 3\/12. Sort 1, -5, d in decreasing order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4315, 4311, 4293, 4255, 4191, 4095?\n\"Answer: -y**3 - y**2 + 6*y + 4311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*-1*sqrt(468) + sqrt(468))\/(sqrt(900) + sqrt(900) + (sqrt(900) - (sqrt(900)*1 + sqrt(900)) - sqrt(900)) - sqrt(900)))\/(5*-3*-6*2*sqrt(4)))**2.\nAnswer: 13\/360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 208 - -1?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/18)\/((-166)\/1992). Let y = -0.13 + -0.07. Put y, w, 70 in ascending order.\nAnswer: y, w, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -401, -398, -395, -392?\n\"Answer: 3*v - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6048*k + 5855*k + 1930 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626534092?\nAnswer: 2, 156633523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5006 + 329.1994. Let h = u + -346. What is h rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 5*o**2. Let m be l(4). Let i = m - 1. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2262513068 to the power of 1\/2, to the nearest integer?\nAnswer: 47566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-10700)\/(-147125)*231\/4\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + 0. Calculate the lowest common multiple of (13 + -2 - s)\/2 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12 + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2829223 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m - 17*m - 2*y + 2 = 0, -24 = 4*m - 4*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/2 + (1 - -11). Suppose -2*d + l = -m - 4*d, m = 2*d + 4. Let t(z) = 5*z. Let r(x) = x. Let y(n) = 7*n. Let q(s) = r(s) - y(s). Give m*t(h) - 3*q(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 + 51. Solve -3*t = -i, q = 3*t - 0*t - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 81786.\nAnswer: 5\/81786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b. Let v(h) = -232*h. Calculate -290*d(t) - v(t).\nAnswer: -58*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23120 (base 4) to base 13.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/3 - 5 - 0. Let c be (3 + l)*-2 + -2. Let o(d) = 2*d**2 - d. Let x be o(-1). Solve c = x*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2160 and 0.01?\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-four fifths of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174694.\nAnswer: 2, 13, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -7*b**4\/12 + b**3\/3 + 11*b - 2. Suppose 81*o = -44*o - 250. Determine a(o).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180 - 5*h**3 + 0*h + 118 + 0*h - 29*h**2 + 2*h**3 + 60.\nAnswer: -3*h**3 - 29*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 504*o - 527*o + 50531 = 0. Sort 1, o, 0 in increasing order.\nAnswer: 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3099.8341584 and -4.\nAnswer: -3103.8341584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -3*p + 75. Let o(v) be the first derivative of -v**4\/2 - 50*v**3\/3 + 9*v - 4. What is the remainder when 28 is divided by o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*(sqrt(66) + sqrt(66) + sqrt(66)*-1))\/(sqrt(384)*4*2) + 4.\nAnswer: 3*sqrt(11)\/16 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7519 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 23*b + 227. Let j(x) be the first derivative of x**3\/3 + 5*x**2\/2 + 3. What is j(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 833372.7 millimeters to nanometers.\nAnswer: 833372700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/16)\/(99\/66) - 407\/1276?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from usstzzhhggzhhhs. What is prob of sequence usht?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 2*c + 2, -1 = -2*c - 5*i + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 337*w + 4825 - 1716 = -5653 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 4*h = -0*h - 11, -5*h + 3*h = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/11*(2\/(-7))\/(3\/21).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m**2 - 10*m - 13. What is c(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -325 + -13200?\nAnswer: -13525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 9654147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -176*i. Let a(l) = -17*l - 2. What is a(k(p))?\nAnswer: 2992*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tustttatttstt. What is prob of sequence ts?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**2 + 240*m + 3013. What is o(-99)?\nAnswer: -1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4422935 bigger than 4422930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 8:10 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -4*n**2 - 176*n + 180 = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18\/13?  (a) -3  (b) -129308  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*f**3 - 27 - 55*f**3 - 32.\nAnswer: -2*f**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(330)\/(sqrt(6) + sqrt(18)\/sqrt(3)) - sqrt(55))\/(-2*-3*sqrt(5))*5.\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11153622.\nAnswer: 2, 3, 1858937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is ac - -8?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -12*c**2 + c - 5. Let x be o(-2). Let t be (-22)\/x*(-2)\/(-4). Factor 0*i + 0 + 0*i**2 - 2\/5*i**3 + t*i**4.\nAnswer: i**3*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1128*k - 432*k - 622*k + 2271*k - 1760*k to the form p*k + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 29053*t**4 + 2686 wrt t?\nAnswer: 116212*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 156 and 4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*l = -37*l - 1265 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 292096 and 2915744?\nAnswer: 163281664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 1468*m**2. Let p(g) = -g. Determine h(p(q)).\nAnswer: 1468*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/90)\/((-2)\/4). Let v = -2.2 - -2. What is the biggest value in a, v, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 37\/7 + 30\/(-105). Suppose 0 = 2*q - 0*q + c*i - 239, 4*q - 5*i - 403 = 0. What is the least common multiple of q and 6?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2379080, 4758079, 7137078, 9516077, 11895076?\nAnswer: 14274075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (-2 + 5)) + (-6 + -34 - 0) - 9.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 7*k - 36. Suppose 0 = 8*l - 43 + 3. Suppose l*y + 50 - 220 = 0. Calculate the remainder when y is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 749 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1791942831.\nAnswer: 3, 7, 3160393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 49 - 12. Let c = -24452.983 + 24416. Let u = c + k. What is u rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 19081270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -137, 0.4, 7, 1, -41, 3?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 49*g + 1442. Let r be l(-29). Solve r*a + a - 110 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2 and 2063.58481?\nAnswer: 2063.38481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -4*x**2 - 4*x - 4. Let u(n) = n**2 + 3*n + 2. Determine f(q) + 2*u(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 953270, 3815144, 8584934, 15262640?\nAnswer: 23848262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of c**5\/100 - 29*c**4\/120 + 3*c**3\/5 + 37*c**2 + 2*c. What is q in d(q) = 0?\nAnswer: 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v**2 + 60*v - 40. Is k(-62) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -3*y**5 - 17466*y**4 - 25069704*y**3 + 1025844882*y**2 - 7392283893*y + 6391526184 = 0.\nAnswer: -2931, 1, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 45 = g, -10*g - 5*z - 51 = -14*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -1632*v**3 - 2*v + 2. Let c be i(1). Let q = 22917\/14 + c. Calculate the common denominator of 139\/12 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 - 23. Solve -n + 4*u + t = -4, -n - 3*u = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 7. Suppose -2 = 2*i + 2*d, 5*i - g*d = -3*d + 7. Suppose 11 - i = 3*o. Solve o*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**2 - 686*r + 134355 = 0. Calculate r.\nAnswer: -845, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62107 + -35328. Is o a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d - 5. Let m be i(-4). Suppose p - 10 = 3*t + m*p, -2*t + 4*p = -4. Let o be (17\/34)\/(2*5\/8). What is the fourth smallest value in 1, o, t, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 139541836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5631, 5656, 5683, 5712?\n\"Answer: j**2 + 22*j + 5608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 52*m**2 - 196*m - 221. Give b(-48).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**4 - 1311*i**3 + 3132*i**2 + 12*i - 24145.\nAnswer: -12*i**2 - 7866*i + 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*m**4 + 31*m - 31*m - 6*m**2 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 664\/22 + 0 - (-12)\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 0.671, -2\/9, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1733129 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x. Let z(u) = -29895322*u. What is z(o(j))?\nAnswer: 119581288*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 129 + -125. Suppose -7*q + 37 = 23. Factor 0 + 2\/13*f**5 + 0*f**q + 0*f**z - 2\/13*f**3 + 0*f.\nAnswer: 2*f**3*(f - 1)*(f + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -70*h**2 + 5*h + 17. Let i(r) = -8*r + 11*r - 31 - 29*r + 350*r**2 - 53. Let n(w) = 3*i(w) + 16*x(w). Find the second derivative of n(f) wrt f.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2370950 is divided by 592736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 54888497.\nAnswer: 439107976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 6, 2*k - 3*k = -3*u + 53. Suppose u*p + 54 = 20*p. Calculate the lowest common multiple of p and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 473?  (a) 0.1  (b) -1\/6  (c) 0.14  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**6 + k**3 - k**2. Let i(a) = a**6 - 4*a**3 + 12*a**2. Let w(p) = -4*h(p) - i(p). Find the third derivative of w(c) wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 m, and 1 d when three letters picked without replacement from ldqmlqlmmhmllmm?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/4*4\/(-10). Let i = -0.07 - 0.05. Let k = -2.12 - i. What is the nearest to h in 2, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*d**3 + 5*d + 5*d**3 + d**3 - 1 to the form u + q*d**3 + a*d + c*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34214 - -2?\nAnswer: -34212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of l**5\/60 + l**4\/24 - l**2 + 2. Let j(d) be the second derivative of v(d). Factor j(m).\nAnswer: m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 x, and 1 r when three letters picked without replacement from fxxxxprpgxgtpfppt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 137 + -2739\/20. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 17*t + 5*k - 21, -1171*t + 1170*t + 4*k = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + n + 1 + (-n + 0*n + 0*n)*(0 + 0 - 1))*(-178*n**2 + 2*n - 14*n**3 + 178*n**2).\nAnswer: -28*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - -174.5354?\nAnswer: 175.0354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a - 2. Let d be w(-2). Let l be d\/(0 + -1 - -2). Let z be (-7 + 13)*(-1)\/(-2). Solve l*i - 12 = z*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 14*l**3 + 10*l**2 - 2*l - 2. Let m(n) = 7*n**3 + 5*n**2 - n - 1. Suppose -10*c - j = -11*c - 11, 0 = 4*c - 8*j + 72. Determine c*i(f) + 7*m(f).\nAnswer: -7*f**3 - 5*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 0.3  (c) 2  (d) 23\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*r = 37*r - 40132. Calculate the remainder when r is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add together -382 and -0.13.\nAnswer: -382.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + 0 + (-1)\/(2\/(-60)). What is the units digit of (-9)\/r + (-902)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1464540 and 1220450?\nAnswer: 7322700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p**2 - 645072*p - 26007367824 = 0.\nAnswer: -80634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39233, -39239, -39247, -39257?\nAnswer: -39269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 150 = 2*i, -4*w = i - 2*w - 90. Suppose 2*m - 19 = -3*x + 20, -4*x + i = 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + -56 + 29 + 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - 1132429.63\nAnswer: -1132430.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80)\/(sqrt(2) - sqrt(2)*-2) - sqrt(160)\/(sqrt(16)\/sqrt(4)))\/(6*(sqrt(160)\/sqrt(5) + sqrt(32) + sqrt(32))).\nAnswer: -sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-5 - 27) - (28 - 40 - (-4 + -7)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 divided by -6?\nAnswer: -235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82013?\nAnswer: 82013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*t + 27 + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4926 * 0.0006.\nAnswer: 0.00029556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.86 - 7. Let k = -1586.5 - -1585.86. Let u = k - y. Which is the third smallest value?  (a) u  (b) 3\/8  (c) 0.2  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 9*g**2 + 2*g + 24. Let q be f(-9). Suppose 0 = m - 2 - 1. Let j(t) = -3*t - m*t + 2*t + q*t. Let d(k) = -3*k**2. Determine j(d(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 29866?\nAnswer: 328526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(2156)*1)\/(sqrt(144)*-1 + (2*sqrt(20))\/sqrt(5)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -361 divided by -4\nAnswer: 361\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 259 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y**2 - 5 + 7 - 3*y - 293*y**3 + 276*y**3 to the form v*y + b + g*y**3 + u*y**2 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -5*u**3 - 11*u**2 + 4*u - 3. Let a(r) be the first derivative of r**4 + 10*r**3\/3 - 3*r**2\/2 + 2*r - 845. What is -3*a(q) - 2*h(q)?\nAnswer: -2*q**3 - 8*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 15*k**2 + 35*k + 19. Suppose -3*h - r = 83 - 28, 4 = -r. Let y be u(h). Solve -j - 4 + y = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66 - 3*a**2 - a**2 - 14*a + 3*a**2 - 184.\nAnswer: -a**2 - 14*a - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 622010 (base 8) in base 16?\nAnswer: 32408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -345105.2840101 - -345105.1. Let g = v + 0.184. What is g rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n + 4. Let c be l(0). Suppose c = -267*s + 268*s. Solve j + 5 = s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*h + 47*h + 320 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 2*j - 2. Let w be x(2). Suppose -3*y - w + 18 = 0. Let o(d) = d**3 - 6*d**2 + 4*d + 3. Let r be o(5). Sort r, y, 5.\nAnswer: r, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**2 + v**2 + 3*v**2. Let m = 2 - 3. Is h(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 190 and 6603730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 3 + sqrt(432) + -1 + 0 - ((-5*sqrt(81)\/sqrt(3))**2 + (sqrt(3) - (1*sqrt(3))**2)*1*6).\nAnswer: -655 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 8*x**2 - 10*x + 20. Let z be q(7). Let v be -14*(-4)\/(-80) + z\/(-2). Which is the nearest to -1?  (a) -4  (b) -0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7175\/(-410))\/(3*(-1071)\/108)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*s = -185. Suppose -m = v - 46 - 7, 5*v + s = 4*m. What is the least common multiple of 15 and m?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -h - h - 3*f, -2*f = -8. Let y be (-17)\/3 + 5 - 28\/(-6). Find the third derivative of -5*b**h - 4*b**5 + 3*b**4 - 3*b**y + 8*b**5 wrt b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -45  (b) 2\/7  (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2118, 2108, 2098?\n\"Answer: -10*b + 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -97 + (-59 - -328) - 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 4, 0, -12 in descending order.\nAnswer: 4, 3, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + j = -2, -8*n - 4*j = -11*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/7  (b) -0.08  (c) -2356\/3  (d) -2\/3  (e) 0  (f) -1\/34  (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**4\/12 + h**3\/6 - 32*h**2 - 4*h. Let k be q(0). Let a = k + 221. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*i - 3 = -5, 0 = 3*u + 3*i - 9. Suppose 2*n - 40 = -u*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**21*f)\/(f*f**(1\/2)\/f*f) assuming f is positive.\nAnswer: f**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 4*b - 0*b. Suppose 2*l - 7*l + h = -109, l - 41 = 5*h. Let v = 1 + l. Calculate the highest common factor of v and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*((y*y*y**(-14)\/y)\/y)\/y*y*y*y*y**(-1\/2)*y)**(2\/5) assuming y is positive.\nAnswer: y**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 13*a**3 + 3\/7*a**7 + 105 - 1\/2*a**4 + 0*a**2 + 0*a**5 + 0*a + 0*a**6. Find the third derivative of f(h) wrt h.\nAnswer: 360*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 317955100 to the nearest 100000.\nAnswer: 318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5*j + 1149 = -1631, -3*d - j + 1676 = 0. Suppose 98 = k + m, -4*m - 314 - 134 = -4*k. Calculate the highest common divisor of k and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 4) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -57dd26 (base 15) to base 16\nAnswer: -400ec6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*p**2 - 6*p**2 + 5*p**2)*(2*p**2 - 2*p**2 + p**2) in the form d*p + x*p**4 + h + g*p**3 + s*p**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31784 = 4546*o - 4778*o for o.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1936 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i**2*x**2 + 2*i**2*x - 7*i*x**2 + 20*i*x - 4*i wrt x?\nAnswer: -2*i**2 - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1599860, -3199665, -4799468, -6399269?\n\"Answer: g**2 - 1599808*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j**5 + 23305*j**4 + 1218285*j**3 + 14279495*j**2 + 3494095*j = 0. Calculate j.\nAnswer: -1111, -37, -17, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of n**5\/12 - n**4\/4 - 2*n**3\/3 - 3*n**2\/2 - 8*n. Let m(g) be the first derivative of s(g). Is 35 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 498 and 8134.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3758998646.\nAnswer: 2, 13, 19, 37, 205657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + r**2 + r - 6. Let x be o(0). Let f(m) be the second derivative of m**4\/12 + 2*m**3\/3 + m**2 + 1049*m. Give f(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2165 is divided by 611.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 20*j**3 - 52*j**2 + 56*j - 16. Let x(k) = 58*k**3 - 156*k**2 + 167*k - 47. Let i(d) = 11*a(d) - 4*x(d). Solve i(y) = 0.\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 700 and -14.6309.\nAnswer: -10241.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*k**2 - 27738*k + 206092 wrt k.\nAnswer: -10*k - 27738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*x**2 - 5564*x + 5564*x)*(2*x - 5*x + x)*(2*x - x - 3*x) to i*x**2 + m*x + a*x**3 + y*x**4 + q and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0.4  (c) -1  (d) 0  (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7548546 divided by 3?\nAnswer: -2516182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1868386707.\nAnswer: 3, 11, 18872593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 - 5*q - 2. Let t be a(-2). Let g be 4 - (-4 + 7 - t). What is the remainder when (-8 + 16)*g*1 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 17 - 11. Which is the second biggest value?  (a) 1  (b) -3  (c) s  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 11, q: 2, y: 6}. Give prob of picking 1 y and 1 q.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 8. Let r be s(-7). Let p(f) = 1. Let c(u) = u**2 + 6*u + 13. Let b(d) = r*c(d) + 4*p(d). Suppose b(w) = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 times -10\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -3*b**2 + 2*b - 1. Let z(d) = -2*d**2 + d - 2. Let l(g) = -3*n(g) + 4*z(g). Calculate the lowest common multiple of l(5) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 divided by -5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -147.98 - -272.11. Let i = -0.87 - f. Let p = 172.4 + i. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 5*q - 6 + 1, 0 = -3*c - 2*q + 2. Let g(t) = t + 3. What is g(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 154*p - 13. Is b(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*k - 10*k**2 - 6*k**2 + 2 + 18*k**2 to v + i*k**2 + q*k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -1  (b) 5  (c) 0.2  (d) -60\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 208424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 0. Let w be (f + 1)*31 + 2. Let t = 1 + w. What is the highest common divisor of 85 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -26*v + 3560. Determine a(136).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 93 = 27. Suppose t + g = 2*t. What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (42638\/5 - 48\/80)*(5 - 4)?\nAnswer: 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1224997*j**6 + 774*j**2 + j + 18?\nAnswer: 146999640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.4575976 rounded to three decimal places?\nAnswer: 16.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + -3 + -4*4*(-3 + (-5 + sqrt(800) - sqrt(800))**2 + sqrt(50))).\nAnswer: -1404 - 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2188*w**2*x**2 + w**2 + 2*x**2 + 2029 wrt x.\nAnswer: -4376*w**2*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from axstc. Give prob of sequence xt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0147023 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1662 + 942 = -7*d. Let m = d - -745. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.036302115 to 5 dps.\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1619582563\/144 - 11247037. Let p = -1123\/16 + o. Calculate the common denominator of -61\/2 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 3*r**5\/8 - 44217*r**4\/8 - 221223*r**3\/8 + 928941*r**2\/8 - 127170*r + 44232 = 0?\nAnswer: -8, 1, 14744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 184566985*n**5 + n**3 - 225562211*n**2.\nAnswer: 11074019100*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 225 = -2*k + 221, 36 = -6*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 220320*q**2 - 1762566*q + 34. Give z(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/((u*u**13)\/u)*u**(1\/6))\/((((u*u**(-9)\/u)\/u)\/u)\/u**(-1\/7)) assuming u is positive.\nAnswer: u**(-41\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 38421868 to the power of 1\/2, to the nearest integer?\nAnswer: 6199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137628238?\nAnswer: 2, 11, 59, 106031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 + 0*h**2 - 5*h**2. Let z = -8 - -10. Let v(y) = 0*y**2 - 2*y**z + y**2. Determine b(v(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*t**2 + 335 + 29*t**2 - 6*t**3 - 335 wrt t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 5 = -5*q, 2*x = 2413*q - 2416*q - 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(2\/(-4)*2). Suppose 2*i + 2 = -3*j, w*i + 3*j + 2*j = 0. Solve p - i = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121.35 * 554\nAnswer: 67227.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eememmmememeemmeeme. Give prob of sequence emm.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 4) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -16  (b) -2\/47  (c) 2588  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132 + 132 - 14*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 7*n**4 + n**3 - 11*n**2. Let t(h) = -3*h**4 + 5*h**2. Let a(p) = 4*k(p) + 10*t(p). Suppose a(w) = 0. Calculate w.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/195 and 77\/3588.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52 divided by -52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + 14*y - 19. Determine l(-13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 6. Let s = -0.035 + 0.435. What is the second smallest value in q, s, -25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3636073110593 less than 0.2?\nAnswer: -3636073110592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/36520 and 81\/18566768.\nAnswer: 92833840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 AM and 11:25 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 5*n**2 + 2*n - 6. Let o(s) = -5*s**2 - s + 5. Let m(x) = 3*h(x) + 4*o(x). Let i(a) = -a**3 - 11*a**2 + 4*a + 5. What is 2*i(r) - 5*m(r)?\nAnswer: -2*r**3 + 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 l when four letters picked without replacement from {m: 4, l: 3, e: 3, j: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -32 + 3*t - 30 + 65 + 0*t. Let j(w) = -w. Let u be j(-2). Let g = -5 + u. Determine x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - o**4 + (-4*o + 2*o + 0*o)*(0*o + 0*o + 2*o**3) + o + 16*o**4 - 6*o**4 + 2*o**3 - 7*o**4.\nAnswer: -2*o**4 + 2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -18.945. Let r = 14.41 + -7.555. Let x = s + r. Round x to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 73*c**3 + 18*c**2 - 148*c - 3217. Let w(g) = -36*g**3 - 9*g**2 + 71*g + 1608. Let z(y) = 12*f(y) + 25*w(y). Differentiate z(t) with respect to t.\nAnswer: -72*t**2 - 18*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4907 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4892 = -4*j, -25 = 4*d - 9. Suppose 0 = 3*y - t - j, -5*t - 1 = -11. Suppose -4*s = 3*h - y, -2*h - 5*s = -3*s - 270. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 9*n**2 + 133*n + 3. Let s(b) = -b**2 - 7*b. Let l(q) = -k(q) - 18*s(q). Let p(r) = 19*r**2 - 15*r - 7. Calculate -13*l(g) + 6*p(g).\nAnswer: -3*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.44925 to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwwwwcccw. Give prob of sequence wcw.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78)\/60*-5*13\/(2366\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 63*b + 177. Determine t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 276270810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 15) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 709\/117 - 46\/117. Let z(a) be the third derivative of 26*a**2 + g*a**3 + 0 - a**4 + 0*a. Differentiate z(t) with respect to t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18*(-185)\/(-10) - 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -30*m**2*w**2 + 9*m**2 + 267*w**2 wrt m?\nAnswer: -60*m*w**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of -2*l**3 + 3*l**2 + 22*l + 3. Let s(z) = 2*z**2 - 2*z - 7. Let c(o) = 5*m(o) + 16*s(o). Is c(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 391820392*z**3 + 3495928*z**2 + 8?\nAnswer: 2350922352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33 + -33. Which is bigger: -5\/9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 743694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -6*b**3 - 5295*b**2 + 7969*b + 11474. Give k(-884).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 2\/3, -0.01, 4\/5, 0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*w - 9. Suppose w*f - 2*f = 2. Suppose -1 = f*i - 7. Solve d = -2, -v + 2*v = -i*d - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2*g - 5, -7*b - g + 8 = -3*b. Solve 2*f = -5*z - 5, 4 = -4*z - 2*f - b*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 338740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 6. Let z be (-26)\/(-6) + 6 + -10. What is the nearest to -0.1 in t, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -262, -283, -310, -343?\n\"Answer: -3*t**2 - 12*t - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -54, -115, -176, -237, -298?\n\"Answer: -61*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000445 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 3*d - 9. Let v be m(3). Calculate the greatest common factor of v and 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -211183868*b**5*g - 103748*b + 15*g + 4 wrt b.\nAnswer: -4223677360*b**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 5*p + 6. Let t be a(-4). Let s be (t + 0)*-1 + 25. Solve l - s = -5*k, -3*k + 10 + 7 = -l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2 = 4. Let s = 23 - 12. Let h = s + w. Solve -4*o + 0 = -h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-14)\/28*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 629943746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c. Let o(x) = -88*x + 2. Let q be o(-8). Let y(b) = -q + 706 + 15*b. What is y(g(u))?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 6:14 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {s: 2, w: 4, a: 1, o: 9}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 4 + (-2 - 1 + 1)*(1 - 1 + 3) - 3 + 3 - 1)*(0*n - n - 3*n)*(-9*n**3 + 126*n**2 - 126*n**2) + (4*n**3 - 6*n**3 + 4*n**3)*(0*n + 0*n - 3*n).\nAnswer: -330*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: (-1 + 1)*(0 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 13*q**3 + 4*q**2 + 3. Let g be p(4). What is the highest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**17)\/c*c**(1\/4))\/(c**(-1\/19)*c*c**(-14)) assuming c is positive.\nAnswer: c**(2303\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*h + 359 - 359 to l + n*h and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010000 + 100000010111?\nAnswer: 11100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 9:38 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 7*h**2 + 12*h + 2. Let n be u(-4). Factor 2*z**2 - 6*z**2 + 7*z**2 + 64*z + z**n.\nAnswer: 4*z*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y = 6*y. Solve 5*a + 1 + 14 = y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 128 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -5*j**3 - 6*j**2 + 11*j + 2. Suppose 0 = 3*q + 5 - 8. Let v(m) = m**3 - m. Let s(i) = q*z(i) + 6*v(i). Calculate s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 16 + 1 + 23*z**2 - 279*z + 289*z - 3*z**3. Is t(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 712 and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126002100 and 4620?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 3*s + 15. Let g(f) = 4*f + 18. Let p(u) = -5*g(u) + 6*v(u). Give p(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*q - 27*q + 960 = 13*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -216, -518, -820, -1122, -1424?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express w + 0 + 1 - 4*w**2 - 2 + (3 - 1 - 1)*(-4 + w**2 + 4) + 3*w**2 + w**2 - 2*w**2 as s*w**2 + q*w + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 - 3*i - 1. Let r be n(-2). Let m(w) = 20*w**2 + w - 1. Is m(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 18*r**2 + 8*r + 1. Let a be t(-19). What is a rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2097*q + 50 = -2092*q. Suppose -4*z + 33 = 3*l + 2, -2*l + 3*z - 2 = 0. Calculate the greatest common divisor of l and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(0 + 4) + 48. Suppose m*o - 48 = 42*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01375148 to four dps.\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27145 - -27156. Let b = -0.19 - -0.09. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -63566 (base 8) to base 7.\nAnswer: -140135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 910 and -1.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 39*y - 38*y. Suppose -183 = -y*l + 477. Solve 31*a - 36*a + l = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290763124 to the power of 1\/3, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1341179133 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11121 + -2002121200?\nAnswer: -2002110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -19203*-9\nAnswer: 172827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 426 divided by 3.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -524388 and 0.0169939236?\nAnswer: 524388.0169939236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1890\/42*9\/((-36)\/(-4))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 11*u**3 + 29*u**2 - 35*u - 5. Let l(s) = 16*s**3 + 43*s**2 - 52*s - 7. Let k(n) = 5*l(n) - 7*y(n). Factor k(i).\nAnswer: 3*i*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of 11*d**7\/210 - 13*d**6\/120 + 27*d**5\/5 + d**4\/12 - 2390*d**2. What is the third derivative of m(a) wrt a?\nAnswer: 264*a - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x + 18 = 33*x. Solve -m + 2*m = j - x, -5 = -j + 5*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 - -60. Suppose 45 + 15 = q*n. Solve 1 = 3*y - n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 14*f**2 - f - 3. Let x be a(-2). Suppose -11*c = -264 + x. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (7 - (-12 + 9 + 86)) + 9 - -4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-6)*(-1 - -370001). Round z to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/6777 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142423?\nAnswer: 73, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooogggogoooggggg. Give prob of sequence gog.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 384\/17, 1, 2\/5?\nAnswer: 384\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13583 is divided by 78.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 55.98 + 0.02. Let i = j - 68. Do i and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**4 + 11*l**3 + 103*l**2 - 5*l. Let u(z) = -z**4 - 5*z**3 - 52*z**2 + 2*z. Let v(g) = 2*h(g) + 5*u(g). Find the third derivative of v(i) wrt i.\nAnswer: -72*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2864 and 343024144?\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 5:42 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4*(-10)\/4)\/(-2). Let d = b - -7. Suppose -o - 21 = -d*o. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8781178, 8781177, 8781176, 8781175, 8781174?\nAnswer: 8781173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 - 4\/(4\/2). Suppose g = 3*t - 19, 4*g - 52 = -7*t + 3*t. Let o(q) = -q**2 + 21*q - 49. Let c be o(18). Solve -c*a = -l*z - 0*z + 30, -4*z = -t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 4*r - 9 - 29, 20 = -o + 3*r. Let m = o - -23. Solve m*j = j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -6*j + 8*j. Suppose j*u = -0 - 5. Round u to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29511 - -34845. What is the remainder when l is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -95, 2\/11, -0.65, 1 in decreasing order.\nAnswer: 3, 1, 2\/11, -0.65, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**3\/3 - 5*f**2 + 2*f + 3. Let b be g(-10). Solve -4*h = 2*w - h + 5, 4*h = -b*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 780823.4nm to millimeters.\nAnswer: 0.7808234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-5))\/((-3)\/15). Suppose 4*l + 8 = -4*u, -5*l - 8 = 2*u + 2. Let v be (-12)\/(-24) - 7\/l. What is the highest common divisor of v and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/(-2) + (-2 - 1). Let r = -0.8 - -0.3. Let o = -1 + 1\/5. Which is the nearest to v?  (a) 1\/3  (b) r  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 8:04 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.19 and 117014696.\nAnswer: 117014695.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 228 - 223. Suppose 5*o = 3*m + 4*o - 377, -5*o = f*m - 635. Calculate the greatest common divisor of 42 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 9, -299, 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((((-16)\/(-36))\/4)\/1)\/(-1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f**3 - f**2 + 4*f - 3. Is s(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (88\/50)\/((-72)\/180)*-5. Calculate the greatest common divisor of 28 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25.4 - 4.5. Let m = 33.612 + k. Let t = -3.7 + m. What is t rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 29, 43, 77, 137, 229?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -579*s**2 - 9*s**4 + 579*s**2 - 3*s + (4*s**3 - 6*s**3 + 3*s**3)*(-s + 4*s - 2*s).\nAnswer: -8*s**4 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 65 - 61. Let m(l) be the second derivative of 0*l**u + 3\/20*l**5 + 0 - 1\/2*l**2 + 0*l**3 + 3*l. Differentiate m(f) with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(7\/3)\/z*z**(-1\/14)\/z assuming z is positive.\nAnswer: z**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 14*u**2 - 37*u - 62. Let j be t(-16). Let r(f) = f**3 - 18*f**2 - 2*f + 13. Give r(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3876 and 39780.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/8 + 22\/8. Let a = 1 + m. Suppose -2*v = a*v - 25. What is the third smallest value in 0.3, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 109, 145, 195, 265, 361, 489?\n\"Answer: a**3 + a**2 + 26*a + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/8 - (172\/80 + -4))*405\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -6*h**3 - 2*h - 1. What is the remainder when c(-1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 3) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 224928521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-544)\/(-288) - (-1)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06192 - 1649.56192. What is o rounded to the nearest 10?\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13 + -250472?\nAnswer: -250505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cek when three letters picked without replacement from {c: 3, x: 5, k: 1, a: 5, e: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 + 17.4. Let q = 3.7 - 4.8. Sort q, i, -1\/3 in descending order.\nAnswer: i, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -2*s, p - 4*s - 2 = -10. Suppose -4 = a - 3*a. Suppose a*c + p = 4*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2 - 15 + 5 + j**2 - 6*j. Let u be h(9). Solve -u = 2*l - 7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/5888442 and 101\/1570?\nAnswer: 29442210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-7)*413\/(-236). Factor -29*t**3 + 0 + 55\/3*t**b + 3*t**4 - 3*t.\nAnswer: t*(t - 9)*(3*t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3950 - -10417. List the prime factors of z.\nAnswer: 3, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.286 and -8385101.\nAnswer: -8385100.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 335760 divided by 3.\nAnswer: 111920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(605)*-2*-3 + sqrt(605)*1*-5 + 4 + -4)**2.\nAnswer: 22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -61760 divided by 64\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1615, -2\/5, 0.3, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 58142 and 90.\nAnswer: 2616390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9, 2\/5, -18, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 38398, 38424, 38450, 38476, 38502?\n\"Answer: 26*m + 38372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 308  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376 divided by -4.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5 + (-264)\/30 + 4. Let z = 28 + -28.07. Let t = z + 0.37. Which is the second smallest value?  (a) 5  (b) x  (c) t  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/14760545 and 22\/1871055.\nAnswer: 132844905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r + 0*r - 42*r**2 + 4 + 46*r**2. What are the prime factors of g(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -5*d**3 - 6*d**2 - 141*d - 37. Is u(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ksviwivg. What is prob of picking 1 i, 2 v, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/3*(5 + 502\/(-104)). Let p*w**2 + 8\/13*w + 2\/13 = 0. Calculate w.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/280)\/(((-10)\/1)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -222, -0.4, 5, 4\/13, -11, 4?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8808658ml to litres.\nAnswer: 0.0008808658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3.85  (b) 0  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 96 - 146 - (-5 - 30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/4 - 33649*w**2\/4 - 16823*w\/2 + 16824.\nAnswer: -(w - 1)*(w + 2)*(w + 33648)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -425, 74, 1443, 4120, 8543?\n\"Answer: 73*s**3 - 3*s**2 - 3*s - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/12 and -52\/14835.\nAnswer: 59340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = 6*s + 896. Let g = s - -127. Solve q - 16 = p - 6, 4*q - p - 25 = g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213638?\nAnswer: 2, 37, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20948, -41901, -62854, -83807?\nAnswer: -104760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n = -2*n + 8565. Let i = n + -99. Let l = i - 210. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*w - 198 = 557*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/52515, -4, -5, -7 in increasing order.\nAnswer: -7, -5, -4, 1\/52515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -245366.\nAnswer: 49073.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11718 is divided by 764.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) + 0 - (sqrt(3) + (-6*sqrt(12))**2) - sqrt(9)\/sqrt(3)*2*-4) + -1 + (sqrt(3) - (2 + sqrt(48))) + -2*(sqrt(3) + 1).\nAnswer: -437 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 559*m + 30 = 553*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*f = 71*f + 122*f - 1932. Solve -9*y = f*y - 92 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 1054178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 479320.\nAnswer: 2, 5, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -28 + -16 - (-12 + (0 - 0)). Let n(d) = -8*d - 254. Give n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 727 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = t - 5*c + 6*c, 2*t + c = -3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wfa when three letters picked without replacement from qfeenaw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 3, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -p**6\/40 - 3*p**5\/5 + 2*p**4 + 96*p**3 - 173*p**2 + 13. Determine k so that i(k) = 0.\nAnswer: -12, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = u + 3*j - 11, -2*u = -5*j. Suppose -3*y = -u*y. Suppose -5*p + 10 = -y*p. Solve g = -p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.01 - 0.39. Let t = -1.7 - q. Let w = -1.3 - t. What is the second biggest value in -1\/2, w, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201500.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1057 divided by -1?\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3873322*f**5 + 3941526*f**2.\nAnswer: -232399320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 1263*j + 6342. Calculate the least common multiple of 6936 and v(-5).\nAnswer: 62424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33143023 (base 6) to base 7.\nAnswer: -11305131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 99 = -41. Suppose -32*x + 86*x - 14541 = -77*x. Calculate the remainder when x is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4524079 rounded to the nearest ten thousand?\nAnswer: -4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 342053363 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -520 divided by 10.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 199\/420 and 22\/1558081.\nAnswer: 93484860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 5747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97959, -98058, -98157, -98256, -98355?\nAnswer: -98454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 1)*(1 - 15 - 16)*(3*p - 4*p + 27*p) in the form f + h*p and give h.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11172 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 209 + -94. Let y(w) = -6*w + 55. Let v be y(-17). Suppose v = 2*n - f. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 6*j**2 - 2*j + 6. Let v be d(6). Let a be ((-4)\/v)\/((-2)\/(-3)). Solve t - a = 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w + 2860 = 10*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1307 is divided by 130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of -2*j**2 - j - 4. Let i(y) = -y + 1. Let a(o) = 3*o - 5. Let z(n) = a(n) + 4*i(n). Give -w(p) + z(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by -1387888\nAnswer: -21\/1387888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 453786 is divided by 21577?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*l**2*v*y**2 - 4*l**2*y**2*z - 46854769*l*v*z - 4*l*v - 90977*v*y - 2*y**2 wrt z?\nAnswer: -4*l**2*y**2 - 46854769*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - (26 + -68)) + -18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 137106139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h + 7*h - 3 - 2. Let w(a) = -15*a + 9. Suppose 6 = -7*y - 29. Let g be 26\/(-169) + (-115)\/13. Calculate g*z(n) + y*w(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*t**4 + t**3 - 1148*t**2 + 3*t**4 + 6*t**3 + t**4 - 2 + 1129*t**2 in the form v*t**2 + a*t**3 + j*t + h*t**4 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 627276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (8\/14)\/((-14)\/(-49))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*g**3 - 88*g**3 + 23*g**3 + 15*g**3 + 25*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 322224795 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58.852 + 0.148. Let p = k + -57. Let q be 6\/(-30)*10\/4. What is the biggest value in q, -1.1, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66.035 - -63.035. Let k = 1834 - 130216\/71. What is the smallest value in k, 4, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3*n + 3 - 2 + 4.\nAnswer: -3*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 13*o**2 - 11*o - 2. Calculate z(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express g**3 - 13 - 4412*g**4 + 16*g**2 + 4409*g**4 - 18*g**2 as v*g**2 + z*g**3 + q + j*g + a*g**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b - a89997a?\nAnswer: -a89996c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1155917523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/2 - (-1 + -2). Let i be 184998\/k - (-2)\/5. What is i rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/35, 2766, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2527346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 789*h - 682*h = -2001 - 1209 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 404 divided by 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_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: Expand (-3 + 3 - d)*(3 + 1 - 6) + 2*d + 4*d - 4*d + 3 - 2 + 2 - 2*d.\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 242327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 5*o - 26 = u, -4*u + 3*o - 11 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -12. Let w = x + -2. Let t be (0 - w\/6)*-3. Put 3, t, -4 in increasing order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, g: 1, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 838 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 11*b**2. Let c(m) = m**3 + 14*m**2 + 12*m - 11. Let w be c(-13). Let o(q) = 4*q**w - 5*q**2 + 0*q**2. What is k(o(n))?\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2287, 4219, 6151, 8083?\nAnswer: 10015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r**3 - r + 1. Let c be y(1). Let z = c - 10. Suppose -5*i + 5 + 6 = 4*t, -z*i + t = -13. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -459, 4, -5.\nAnswer: -459, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*i - 92*i + 40*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1939500*b**3*t**2 + 15843*b**3 + 3*b**2*t**2 - 2*b**2 wrt t?\nAnswer: 3879000*b**3*t + 6*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 5*x - 203980, 4*x = m + x - 50988. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r**3 - r**2 - 3*r. Let m(k) = k**3 - k. Let c(l) = -3*m(l) + t(l). Does 9 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -295  (b) -76605  (c) -3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -1 + 0*u**2 + 17 - u - 13*u + u**2. Let w be b(13). Suppose -11 = -5*d + 4. Solve d*i - 9 = -w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 296629738.\nAnswer: 2, 43, 811, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6965.72 rounded to the nearest ten?\nAnswer: -6970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - -3*6\/(-45). Let q be ((-1)\/(-12))\/(2\/18). Which is the third smallest value?  (a) t  (b) 3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53958134 to the power of 1\/2, to the nearest integer?\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 758179111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-1)\/(-5)*(-12)\/12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27*j**2*y - j**2 + 49*j*y - j - y**2 - 217 wrt y.\nAnswer: -27*j**2 + 49*j - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2*sqrt(425)*-6)**2 - ((-1*sqrt(408) + sqrt(408))\/sqrt(12))\/(sqrt(288) + (sqrt(288)*1 - sqrt(288))).\nAnswer: -244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + 30. Suppose 3*o = -4*u + 16, -i + 7 = 2*o + u. Suppose -4*h = -o*h - 104. Is 27 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 9*c**2 - 9*c + 3. Let f be 36\/5 - (-5)\/(-25). Is y(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 2*z - 8, 5*z = -0*z - 2*u + 44. Let m = 6 - 4. Suppose q + 3*p - 3 = 0, 4 + m = 2*q - 4*p. Calculate the remainder when z is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*l, -b + 4*l = 3*l. Suppose -30*v = -31*v - b. Calculate the remainder when v\/((-75)\/6)*50 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**27*(z*z**26*z)\/z*(z*z**(-23)*z)\/(z*z**(3\/5)*z*z) assuming z is positive.\nAnswer: z**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*k**3 - 2*k**2*w**2 + 152*k**2*w - 3*k**2 + 220*k*w**2 + 2*w**2 wrt k.\nAnswer: 18*k - 4*w**2 + 304*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5315*z**2 - 10628*z**2 + 5312*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48423921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 630 = 16*b - 330. Does 30 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/180)\/(3\/(-1305))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3156 - 444 = 18*l. Is (120\/l)\/(-1 + 1604\/1605) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 + 3*o - 52. Let w be h(6). Suppose -2*c + 9447 = -n, -w*n = -3*c - 5*n + 14148. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 5*g**2 + 2*g - 8. Let j be d(5). Let k(p) = 0*p**j - p**2 + 0*p**2 + 4. Give k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*o + 5*o - 120 = 0, 2*l = 3*o + 33. What is the highest common factor of l and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 662 - 652. Let g(n) be the first derivative of -2\/9*n**3 + 0*n**2 + 0*n + w + 2\/15*n**5 + 0*n**4. Find c such that g(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*l - 3*w, 0 = 5*l - w + 7 + 10. Sort 2, -2, 5, l in descending order.\nAnswer: 5, 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 + 51 + -119 + 38?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3672526?\nAnswer: 2, 11, 13, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 11*j + 11. Let q(u) = 4*u + 4. Let s(w) be the third derivative of 3*w**5\/20 - w**4\/12 + w**3\/6 + 5*w**2. Let p be s(1). Give p*q(b) - 3*v(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.18683 months in millennia?\nAnswer: 0.0030989025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven tenths of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/4 and -57\/40592.\nAnswer: 40592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) - (3*sqrt(192) + 4))**2.\nAnswer: 128*sqrt(3) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**2)\/x*x*x**(-1) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0726797 + 3058.12?\nAnswer: 3058.0473203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*f - 363*f - 2777 = 7363 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.02, -3\/5, 47, 5\/97, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -370821 or -370823?\nAnswer: -370823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11208 and 1920?\nAnswer: 896640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*3*-1).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1650 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) -3\/932  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 92 = -4*z. Let j(o) = 15*o - 18. Let v(h) = h + 6*h + 1 - 10*h + 2*h. Calculate z*v(k) + j(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -86429*n - 6. Let m be b(-14). What is m rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13860846.07 rounded to the nearest one thousand?\nAnswer: 13861000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13713647 divided by 3?\nAnswer: 13713647\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.16869417 + -2192852.21130583. Let f = g - -2192478.379707. Let y = -376 - f. Round y to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*s = -23*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -576 + 50*w**2 + 576.\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 50, 3, -54, -127, -222?\n\"Answer: -o**3 + o**2 - 43*o + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16466 + 4?\nAnswer: 1646a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllxlfll. What is prob of picking 4 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.2  (c) -1  (d) 4\/7  (e) -4  (f) 2.322\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 78\/1897 at most -7107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*y**4 - 664*y**3 - 54135*y**2 + 82296*y - 30996.\nAnswer: (y - 82)*(y + 42)*(4*y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = x - 16, -5*v + 15 = -2*v. Suppose 22 - 2 = 5*i. Suppose 2*c - 1 = -5*h, 0*c + 2*c - 4 = -i*h. Solve -c = -5*l - 3*z, 4*l - x - 7 = -2*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -318 + 4?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + a + 15, -a = -4*a. Let b = 22 - 27. Suppose -6 = -2*q + 4*q. Sort q, b, s, 3 in ascending order.\nAnswer: b, q, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - z**2 - z - 2. Let h be d(2). Suppose h = -5*w + 41 + 34. What is the greatest common factor of w and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(143)*-4)\/(sqrt(11) + ((sqrt(55)*3)\/sqrt(5) - sqrt(11)) + sqrt(11)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 358017 + -36?\nAnswer: 357871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12075 by 25.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 12 = 2*t + 2*t, 40*t + 2*w = 44*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.3?  (a) 23  (b) -1293  (c) 2\/3  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (576\/(-27))\/(-8)*66\/(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h**2 + 3*h - 1. Let u(j) = 0 - 5*j**2 + j - 1 + 0 + 3*j. Suppose -17 + 2 = -3*p. Determine p*u(t) - 6*m(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 1 + 0*d**2 + d**2 + 0. Let t be o(-2). Suppose 3*p = -t*w + 25, -2*w + 2*p + 5 = -w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 21 = -0*h - 2*h, 2*h = -3*u - 31. Let b = 19 + u. Suppose 5*a - 23 = 4*a - s, -2*a = -4*s - 40. What is the lowest common multiple of b and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/4  (b) 0.2  (c) -123.8  (d) -1\/4  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.713741 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9923, 9942, 9961, 9980, 9999, 10018?\nAnswer: 10037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - 5*a - 2. Let m be (20\/15)\/(2\/(-3)). Let b be z(m). Is b\/(-18) + (-1091)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -3*k. Suppose 4*z = t - 14, -2*t + k*z = 3*z + 27. Sort t, 1, -5.\nAnswer: t, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from hhhhhhqhhhhqh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1565*c = 1533*c + 160 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwwowwwwwwwwwww. What is prob of sequence wow?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -11*k**2 - 3*k - 30. Calculate g(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 7 = 31. Let s(v) = v**2 - v + 8. Let n be s(z). Suppose -200 = -5*b - n. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 - -11120220120111?\nAnswer: 11120220120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 78 = -2*r - 0*r, -4*r - v + 138 = 0. Suppose -q + r = 4*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52008037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/25 of a milligram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/4 and -19\/248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + (3 - 0))\/(-2). Let n be 7\/2 - (-1)\/c. Solve 0 = -3*a + j + 4*j + n, 0 = 3*a - 4*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 47\/3 - 32\/48. Solve -3*y = r - 0*y - 11, 3*y = -3*r + i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g - 3092 = -1229. Solve -14*c = 13*c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 216455945 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 367781 is divided by 740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 428*m**2 - 1284*m. Let q(y) = y. Let g(o) = -f(o) - 1284*q(o). Let s(u) = 2*u**2. Give s(g(j)).\nAnswer: 366368*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 12:07 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 996*k + 58770. Calculate d(-59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 143, 684, 1605, 2918, 4635?\n\"Answer: 2*d**3 + 178*d**2 - 7*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 185050 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 24670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (0 + -1 + -2). Suppose 2*q - 8 = 0, -4*q + 22 = f + 4. Solve f = s - j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-5)\/f**(2\/7) assuming f is positive.\nAnswer: f**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -37627 - 2e?\nAnswer: -37656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zopozpopzzpozo. Give prob of picking 3 p and 1 o.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-5))\/(-14) - (-48)\/60\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {o: 1, q: 12, w: 3}?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1843, -5, 1, -4 in increasing order.\nAnswer: -1843, -5, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**3 - 28 - 44 - t**3.\nAnswer: -2*t**3 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 11 = 4*f - 1, -4*f = -5*v - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -250 + 27*k + 253 - 5*k + k**3 to n*k**3 + c*k**2 + i + w*k and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -3*i**3 + 0 + 0*i + 4*i**2 + 29\/24*i**4. What is the first derivative of f(b) wrt b?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7821, -7822, -7823?\n\"Answer: -h - 7820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-55720)\/58506)\/((-5)\/7)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -15*v**2 - 12*v - 6. Let p(r) = -10*r**2 - 8*r - 4. Let f(b) = -8*p(b) + 5*s(b). What is the lowest common multiple of f(-2) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3102211213 + -3?\nAnswer: -3102211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/43))\/(g*g**3))**45 assuming g is positive.\nAnswer: g**(-5715\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) -240  (b) -0.3  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 7:33 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from appzsss. What is prob of picking 1 s, 1 p, and 1 a?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 60270530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-7\/5)*r**(-8\/9))**(2\/9)*(r\/(r\/(r*r**(-7)*r*r))*r**(-6)*r)\/(r**(6\/5)\/r**(-1\/7)) assuming r is positive.\nAnswer: r**(-30764\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -62979664*d*h**2 + 2*d*h - 5*d - 7836*h - 5 wrt h.\nAnswer: -125959328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4\/225 + 10547\/1575. What is the common denominator of c and (-2)\/(-6) - 33*(-2)\/(-30)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1cc9 (base 13) to base 9\nAnswer: 6017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eexmlmxlennxxmxnlmex. What is prob of picking 1 l and 1 m?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwd when three letters picked without replacement from {p: 1, w: 6, d: 3, l: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, o: 9, v: 1}. Give prob of sequence opoo.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/(-10))\/((-3)\/15). Let x = -1 - -4. What is the highest common factor of x and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79\/4 + -20. Let q = 0.5 + 3.3. Let d = -1.2 - q. Which is the closest to -1?  (a) 0.4  (b) o  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 8:28 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s - s**2 - 2*s)*(5*s - 5*s - s**2) + (3*s**3 + 6*s**3 + 17*s**3)*(-3*s + 0*s + 4*s) to q*s**4 + v*s + u*s**2 + b + c*s**3 and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**3*n*t + 3192*d**3*n - 3*d**3*t*z + d**2*n*z + 7*d**2*t*z - d**2*t - 2*d**2 - 23*t wrt n.\nAnswer: -d**3*t + 3192*d**3 + d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -14. Solve 30 = i*f - 2*m, 5*f + 2*m = -2*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllzllllz. What is prob of picking 2 l and 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13\/52*-20 - (153\/(-15) - -6). Which is the closest to -1?  (a) -5\/7  (b) 0  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*w = -176*w + 114 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/26, 0, -28 in descending order.\nAnswer: 0, -1\/26, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 4:58 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5*9\/(-15)*(24\/(-384))\/((-1)\/2)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 177 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*k\/(k\/k**(10\/11)))**(1\/9) assuming k is positive.\nAnswer: k**(32\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -107*r + 10563. Let g be l(98). Which is the closest to -1?  (a) -3  (b) g  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4016)\/158130*(-20)\/(-16).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 2, -18, -2 in increasing order.\nAnswer: -18, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 735689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1542829 - 0?\nAnswer: -0.1542829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 611 is divided by 165?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 12*w**2 - 10*w - 5. What is the tens digit of g(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - 1. Let t = 335.1 - 316.1. What is the third smallest value in q, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -d**2*m**2 - 49*d**2*m - d**2 + d*m**2 - 87*d wrt m?\nAnswer: -2*d**2*m - 49*d**2 + 2*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**0)**0*(t**0)**13 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101 (base 2) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 14*f - 40783 = 0. Suppose 8*c - 21137 = f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 20192.\nAnswer: -1\/10096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20)\/(-6)*(-144)\/(-120). Suppose -2*q - 2*q - 2*k + 3676 = 0, g*q + 3*k - 3678 = 0. Let u = 2719 - q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4539 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) 0.1  (c) 7  (d) 176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 28. Let y(d) = -5*d. Calculate l(y(m)).\nAnswer: 25*m**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56802798?\nAnswer: 2, 3, 13, 242747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -18984576 less than -18984576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 609391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xggs when four letters picked without replacement from xsslsggssgqwl?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29192377.\nAnswer: 151, 193327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/2*-1*-2. Let l = 13 - 17. Put -5, l, j in descending order.\nAnswer: j, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2973879577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l - 11. Suppose 27 = -2*w + 11. Let x be p(w). Suppose 0 = j - 1, x*j - 17000005 = -3*q - 2*q. Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, y: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.15 and 39?\nAnswer: 44.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 447211447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*n - 7*z = -23*n + 11, -4*z - 20 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 - -1 - ((-1 - (-18 + 3)) + -376 + 359).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-120)\/63 - (-8)\/14. Which is the second biggest value?  (a) 2  (b) 6  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -9*h + 1. What is the smallest common multiple of i(-1) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 186.24 in 5, 6\/7, -0.2, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 129124 by -232.\nAnswer: -32281\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 62*y**2 + 75*y - 852. Let d be u(61). Which is the second biggest value?  (a) 0  (b) 15  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 180 = k + 1, 2*b = k - 119. Let w = 64 + b. Let x(y) = y**2 - 4*y. What is x(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -282*x**4 - 143*x**4 + 312*x**4 - 392*x**4 + 366 wrt x?\nAnswer: -2020*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 0*z**3 - 3*z**2 + 9*z**3 + 4*z**2 - 4 - 3*z - 7*z**3. Determine v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, h: 1, a: 1}. Give prob of sequence gagh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5215203 (base 6) to base 12.\nAnswer: 101503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 23684*r + 47391. Determine z(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.38 + -0.14. Let o = g - -0.06. Let s = 0.3 - 0.2. What is the smallest value in o, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -27841 and 0.1?\nAnswer: 27841.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1012105852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 - 5)*(9*d - 9*d - 19*d)*(-d + d - 2*d - 5*d + 2*d + 2*d + 4 - 2*d - 4 + 2*d + 3*d - 3*d + (0*d + 0*d + 2*d)*(-1 + 0 + 2) + 1 - 1 - d).\nAnswer: 76*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5834459757.128 + 0.12\nAnswer: 5834459757.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 299 and 12995?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -847.\nAnswer: 3\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -3, -1\/2, -16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 5:29 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19685 and 3175?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + 160. Let d = 109 - g. What is the tens digit of (1 + d)\/((-2)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 5*m**3 + 17*m**2 + 22*m + 11. Let c(n) = -6*n**3 - 18*n**2 - 23*n - 12. Let b(k) = 6*c(k) + 7*r(k). What are the prime factors of b(12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1340 divide 3890020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*j**2 + 191001384*j - 251187729 wrt j?\nAnswer: -4*j + 191001384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 8, d: 8, t: 2}. What is prob of picking 2 t and 2 q?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(343) + -1)**2*-5.\nAnswer: -70*sqrt(7) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000100 - -1000000111000?\nAnswer: 111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide (-9)\/(108\/40)*126\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 12*x + 10. Let g be i(-13). Let f be -6 + (g\/(-3) - 4). Let p = 11 + f. Calculate the highest common factor of p and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/5?  (a) -0.4  (b) 902  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 8, j: 5, r: 1, q: 5}. What is prob of picking 1 q and 2 j?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*z + 12 + 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (30\/9)\/((-1)\/(-3)). Solve -i = -5*p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 2*t**2 + 48. Let w(y) = -y**2 + 6*y + 7. Let o be w(7). List the prime factors of d(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*(-6 + 279\/54). Solve -s*k - 2*r + 20 = -0*k, 4*r = -k + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 13) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 9:18 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, o: 4, b: 2, r: 6}. Give prob of picking 1 r and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -935633 - 104367 = -4*s. What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -3107556 + 936892. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = c + 4, 10*k + 3*c = 11*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 798 divided by 19?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1204 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -52*n**3 - n**2 - 2*n - 1. Let o be y(-1). Let u(j) = -8*j - 3. Let x be u(-2). Calculate the highest common factor of o and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q + 423403 - 8*q - 423403.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/13881829 and -37\/1067833?\nAnswer: 13881829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6434761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u. Let l(s) = 6*s**2 + 7*s. What is l(v(b))?\nAnswer: 24*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 142 + -480a4?\nAnswer: -47a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 0  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 563 - 428. Calculate the least common multiple of p and 165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62513.858 rounded to zero decimal places?\nAnswer: -62514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b05 (base 12) to base 13\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 344*r**2 + 2*r + 10. Let g be j(-3). What is g rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24675 and 29610?\nAnswer: 148050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -g**6\/15 + 3*g**2\/2 - 3*g - 2. Let x(i) be the first derivative of n(i). Differentiate x(o) wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20618\/(-430050) + (1569\/(-225) - -7)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-4)\/(-15))\/2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/13, 4, 1589?\nAnswer: 1589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -101*p**2 + 47*p**2 - 2 + 2*p + 44*p**2 in the form r*p + t*p**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10*(82\/(-10) - -1). Find the common denominator of -95\/22 and ((-6)\/k)\/((-5)\/297).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + x + 17 = 0, -2*t - 4 + 10 = 5*x. Let q = t + 11. Suppose 37 = 4*w - 5*k, 6*w + 4*k + 5 = w. Solve -3*i + q*d = 14, -2*i + 25 = w*i + 3*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1626*k**5*y**2 + 80*k**2*y**3 - 7*k*y**3 - 124*k*y**2 + 217*y**3 wrt k.\nAnswer: -32520*k**3*y**2 + 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-20)\/(-15))\/((-4)\/(-6)). What is the third derivative of 34*y**2 + y**3 - 46*y**2 + 28*y**m wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**3\/3 + 5*x. Let k(h) be the third derivative of 4*h**2 + 0 + 0*h - 5\/24*h**4 + 0*h**3. Give k(m(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -46*r**2 + 20*r + 5. Let g(z) = 23*z**2 - 9*z - 2. Determine 10*g(l) + 4*m(l).\nAnswer: 46*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 390*p**2 + 317*p**2 - 723*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -454, -4, 0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 125 + -124. Which is bigger: m or 2\/195?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25179 divided by -2.\nAnswer: 25179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.19 minus -26846445?\nAnswer: 26846501.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (15 + -19) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -0*m + 4*m - 48, q - 2*m = -9. What is the common denominator of 6\/q - 214\/(-110) and 25\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 19 = -g, 99989*g + 22 = 99985*g - 2*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 - -29.8. Sort -2\/11, -1\/5, x in decreasing order.\nAnswer: x, -2\/11, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 28*d - 15. Let o be i(-27). Suppose 0 = 4*l - 19 - 5. Calculate the highest common factor of l and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 0*i**2 + 2\/39*i**3 + 10*i + 0 + 1\/78*i**4. Find p, given that j(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 23060006 >= 69180016\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10476 + 10471. Sort 4, 2, 1, t, 9.\nAnswer: t, 1, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1182 and 28959?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -11, -25, -83, -209, -427, -761, -1235, -1873?\n\"Answer: -4*v**3 + 2*v**2 + 8*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12479 + 21420. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -11. Is (q\/3)\/((-6)\/(-108)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10565364 and 1428.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -8*p. Let y(l) = 3 + 2 + 1 - 16*l + 5. Let n(j) = 3*j - 2. Let i(v) = 22*n(v) + 4*y(v). What is f(i(t))?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4235.456 centuries?\nAnswer: 5082547.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1680 and 14.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -32 + 380*c + 2 + 388*c - 771*c. Suppose 4*s + 19 = -5*v, -s - 2*s + 4*v - 53 = 0. Let g be x(s). Solve -2*o - g*o = -a - 12, -12 = -2*o + 4*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 o when four letters picked without replacement from {y: 11, o: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 171 and 284373.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 10 = 5*m. Let s(l) = 2*l - 2. Give s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 158, 163, 170, 179, 190?\n\"Answer: o**2 + 2*o + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81 - 49 - 45 + 0 - 32*n**2 + 175.\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 309*h - 3397. Let j be p(11). Let d(g) be the third derivative of 0 + 1\/24*g**4 - 28*g**j + 0*g**3 + 0*g. Let m(s) = -34*s. What is d(m(v))?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 223719474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 8, y: 3}. What is prob of sequence yj?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46381*n + 126 = 46402*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 10*u**2 + 16*u + 6. Let k(b) be the second derivative of -7*b**4\/12 - 11*b**3\/6 - 2*b**2 + 5*b. Let j(t) = 5*i(t) + 7*k(t). What is j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111877797 is divided by 1263.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -3*q**2 - 73*q + 317. Give c(-34).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -a + 22, 2*j - 54 + 70 = -2*a. Sort -9, -13, 5, j.\nAnswer: -13, -9, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -52*h + 5. Let l(d) = -21*d + 2. Let u(j) = 5*l(j) - 2*v(j). Let g(a) = 7*a**2. Calculate u(g(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 5494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 5*o + o)*(-2 + 2 - 2*o) + (-4 - 2*o + 4)*(3*o - o - o) + 1374*o - 1374*o + 11*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 13152309, 13152307, 13152305, 13152303, 13152301, 13152299?\n\"Answer: -2*c + 13152311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1665840 and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1083 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 107*q - 104*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20200 and 101000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.7, 0, -28, -754?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 7*b**2 + 9*b - 8. Let j(r) = 5*r + 1. Let l be j(1). Let a be w(l). Suppose a = 5*o - 0*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.5, -3, -1\/3, 0.5, 1 in decreasing order.\nAnswer: 1, 0.5, -1\/3, -2.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 1. Let w be u(-2). Differentiate -4 - 2 + 3 - a**w + 7 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 + 16. Find the third derivative of -4*m**4 - 4*m**j + 3*m**4 - 4*m**4 - 3*m**4 wrt m.\nAnswer: -192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28888693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3*u - 17, 4*u - 2*h + 7 = 5*u. Put 6, -2, 1, u in increasing order.\nAnswer: -2, 1, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 6*w**2. Let y(b) = 7*b**2. Let q(a) = 5*s(a) - 6*y(a). Let i(g) = 4*g**2. Give i(q(o)).\nAnswer: 576*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6720 and 630.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 123018 and 23432.\nAnswer: 492072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/19, -3, 2, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)).\nAnswer: 890*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5568 divided by -8.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 83*t**2 + 83*t + 91. Calculate j(84).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 187655*c**3\/3 - 5*c**2\/2 - 10*c + 12. Let f be a(9). What is f rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156476.7us in seconds?\nAnswer: 0.1564767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -56 * -138.21\nAnswer: 7739.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 11*g + 2. What is the tens digit of w(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -266 = -4*r - c, -2*r - 238*c + 138 = -240*c. Solve -r = 2*q + h - 70, q + 5*h = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 916\/9 + -11890\/117. Is w at most as big as -335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-3*-2*sqrt(475).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -20.8+-0.1129346\nAnswer: -20.9129346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.05 - -0.01. What is the closest to 1\/4 in r, 0.04, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v + 19*v - 11*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**4 + 8*x**3\/3 + 26*x**2\/3 + 4*x = 0. Calculate x.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.043 + -21.043. Let d = n + 21.2. Which is the closest to -1?  (a) d  (b) -5  (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -2, 44, 0, 40 in increasing order.\nAnswer: -2, 0, 9, 40, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(1584)*-2 - ((sqrt(1584) - -6*(sqrt(1584) + 1)) + sqrt(1584))) + (sqrt(1584)*-2 + -4 - (1*sqrt(1584) + 5)))**2.\nAnswer: 6840*sqrt(11) + 572049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 5*r**2 - 3*r + 7. Let x be j(5). What is the tens digit of (-24)\/1*4\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2024 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2797 a factor of 262246720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jwx when three letters picked without replacement from wxoyyoxyyjxeeexyo.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0014478207 to six dps.\nAnswer: -0.001448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1084127 bigger than -1084128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 + 7*v + 4. Let t = 6 + -6. Suppose -13 = x + 4*j, t = -3*x + 3*j + 5 + 31. Calculate the smallest common multiple of n(x) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1581\/5 + -327. Let d = r + 11. Let x(m) = m - 3. Let q be x(2). What is the nearest to q in -4, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n. Let m be p(-2). Suppose -28 = -f - 0*f - 3*w, m*w - 28 = -f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -644\/2349?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 624402.\nAnswer: 2, 3, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n + 19. Let v(u) = -u - 21. Suppose 3*w = 5*h + 18, 4*h - 2*h + 32 = -5*w. Let m(q) = h*x(q) - 5*v(q). Give m(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of 0*w**4 - w**2 + 1\/5*w**5 + 0*w - w**3 + 8. Factor q(n).\nAnswer: n*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 186208.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-610)\/244*(-2)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 5.9  (b) 16537  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9364936*j**3 - 280*j**2 + 15007*j?\nAnswer: -56189616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y - 4*y + 51*y)*(6 + 4 + 5) as a + t*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 19 - 109 = 0. Suppose -2*p = 3*p + 30. Let m(n) = -3*n - 7. What is the remainder when b is divided by m(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 0*c + 2*c)*((-c - 2*c + 2*c)*(-3*c - c + 5*c) - 62*c**2 + 18*c**2 + 1 + 46*c**2 - 19*c).\nAnswer: 2*c**3 - 38*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - ((-89 - -9) + 9).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*t - 15 - 7 - 1. Suppose 5*d - 2 + 3 = -2*c, 3*d + 2*c = -3. Let x(m) = -m**3 - m**2 - 1. Let o(k) = 4*k**2 + 1. Give d*o(a) + t*x(a).\nAnswer: -a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 3*n**3 + n - 4. Let v(l) = -3*l**3 - 2*l + 5. Let d be (-23)\/5 + 12\/(-30). Let w(x) = d*c(x) - 4*v(x). Factor w(s).\nAnswer: -3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*2*sqrt(78)*-2*3)\/((sqrt(600) - 2*sqrt(600))*6 + (sqrt(600) - (sqrt(600) - (sqrt(600)*2*-5 - sqrt(600))))) + -1)**2.\nAnswer: -48*sqrt(13)\/85 + 14713\/7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 9*m**3 + 5*m**2 + 17*m. Let f(l) = -14*l**3 - 8*l**2 - 26*l. Let k = 19 - 24. Let t(s) = k*f(s) - 8*z(s). Find the second derivative of t(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tbz. What is prob of sequence tb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3820.941 and -0.09.\nAnswer: 343.88469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-49)\/35 + (530\/(-50) - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3195007 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 174617 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: Let f(m) = -542*m - 4662. Let i be f(-8). Put i, -2\/9, -5, 0.4 in descending order.\nAnswer: 0.4, -2\/9, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*y + 2178 + 2299 - 6436 + 2179 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 375*f + 79 = 378*f, 5*g - 9*g + 25*f = 509 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22464 - 195041 = -5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -2725.8612\nAnswer: -545.17224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25.078 - 11780.078. Let t = -11761.101 - b. What is t rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12124234 - -43?\nAnswer: 12124332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 + 3)*(-2 + 3 + 1) - 2 + 1 + 3 - 1 + 1 + 7)*(-28*t - 466 + 466).\nAnswer: -364*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 212183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2, 23, 74, 163, 302, 503?\n\"Answer: 2*c**3 + c**2 + 8*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 17 - (34 + -22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -x**7\/420 - x**6\/120 - x**5\/30 - x**4\/6 + x**3\/6 + 3*x**2. Let l(z) be the first derivative of p(z). Is 2 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*sqrt(2) + sqrt(686)\/sqrt(7).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -3, 6, -5 in increasing order.\nAnswer: -5, -3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qww when three letters picked without replacement from qdcwwwcwwwwqwddcdww.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -0.16  (c) 3.8  (d) 1\/2  (e) -5\/4  (f) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24169207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2231 - 1022130133?\nAnswer: -1022121302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l\/l**(10\/9))*l*l\/((l*l**(-3))\/l))**(-28)*l\/l**(3\/8)*(l\/(l*l**(-2\/9)))\/l*(l**4\/l)\/((l*l*l**(-4))\/l) assuming l is positive.\nAnswer: l**(-13915\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 35 - 105 = 2*y, -3*y = -5*c - 142 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 12*o + 127. Give p(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 10*a**2 + 2*a + 1. Let s = 9 + -7. Calculate the remainder when 6\/(s + (-13)\/8) is divided by v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24695 + 24698. Let l be 28\/5 - (-4)\/10. Solve -3*c - a = l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 126*b - 41*b**2 - 126*b. Let m(f) = -2*f. Give u(m(i)).\nAnswer: -164*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ejejjjjegjguej. What is prob of sequence ge?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1999318 is divided by 9617?\nAnswer: 8599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -691 - bb1?\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7\/4  (b) -2  (c) 5577\/7  (d) -3\/2  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x. Suppose 297*p - 298*p + 20 = 0. Let h(q) = 6770*q + p*q**2 - 6770*q. Calculate a(h(s)).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 15*h**2 - 9*h + 12. Let u be q(-16). Let b = -61 - u. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -19, -40, -126, -8, 1 in decreasing order.\nAnswer: 1, 0, -3, -8, -19, -40, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1009*k**2 + 2154*k**2 + 2*k - 1054*k**2.\nAnswer: 91*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 73 + -52. Let w(a) = a**2 - 25*a + 150. Let k be w(10). What is the tens digit of n - (-1 + (3 - k))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*y + 0*y - 72*y + 1287 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 1. Let c = 24 - i. Suppose 7*q - 2*q + c = -2*g, -4*q + 4 = -3*g. Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 432*f**5 + 7*f**4 + 6*f**3 + 746*f**2. Let w(s) = -2*s**5 - s**4 - s**3. Let v(y) = g(y) + 6*w(y). What is the third derivative of v(b) wrt b?\nAnswer: 25200*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 13*y**3 - 21*y**2 - 11*y. Let g(h) = 4*h**3 - 7*h**2 - 4*h. Let r(f) = 11*g(f) - 4*x(f). Find the third derivative of r(s) wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 39770?\nAnswer: 79540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3.29, -1, 5, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (13 - 9) + 33 + -110?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 0*c + 4. Let u(b) = -1 - 3*b**2 + 2*b + 6*b**2 - 3*b**2 + 3*b**2. Let n be u(c). Calculate the greatest common divisor of n and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/146286 and -1\/2430?\nAnswer: 731430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10151, 40492, 91005, 161678, 252499, 363456, 494537, 645730?\nAnswer: 817023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 2*n - n)*(-4 - 74 - 666).\nAnswer: 1488*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -0.2  (c) -0.3  (d) -8\/25  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65767 - 34333. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of -p**7\/700 + 2*p**6\/75 - 17*p**5\/100 + p**4\/2 - 73*p**3\/6 + 45*p**2. Let u(q) be the first derivative of s(q). Factor u(m).\nAnswer: -6*(m - 5)*(m - 2)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11\/(44\/144)*11. Let i = a - 171. Suppose 6*p - p = i. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7163567 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 49.6?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2423  (b) -5  (c) -0.3  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a7848 (base 12) to base 7.\nAnswer: 6051152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 930*p**4 - p**3 - 163*p**2 - 107371014*p?\nAnswer: 11160*p**2 - 6*p - 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 875*q + 32832 = 267*q for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3825*i**3 + 3823*i**3 - 4 + 4.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.34*5050.8.\nAnswer: -1717.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86222, 86363, 86492, 86603, 86690?\nAnswer: 86747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31129675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 700691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j + 1. Let o be i(1). Suppose 5*g - 2*g - 15 = o. Factor -2*s**5 - 2*s - 3*s**4 - 3 - s + 6*s**3 + 5*s**5 + 6*s**2 - 6*s**g.\nAnswer: -3*(s - 1)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/24 and 26\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 330 divided by -18.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1.2, 0.4 in increasing order.\nAnswer: 0.4, 1.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22047984 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*v**5 + 2*v**4 + 2*v**2.\nAnswer: -1560*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 59  (b) -1\/251  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -34*i**4 - 22*i**2*w + i*w - 3*i + 5*w + 90 wrt i.\nAnswer: -408*i**2 - 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-5\/2)*i*i\/(i*i**(2\/11))*i)**(-47) assuming i is positive.\nAnswer: i**(705\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 3*a = -7, -13 + 3 = -5*u + 2*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55*s - 50*s + 35 - 24*s + 4 + 2*s**4 to the form o*s**3 + c*s**2 + v + n*s**4 + f*s and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 - 6 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1586*w**3 - 948*w.\nAnswer: -9516*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-4))\/(-3*(-2)\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 789.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25987152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -253 - -2655?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, -855, -2862, -5927, -10050, -15231, -21470?\nAnswer: -28767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k**2 + 42*k + 110 with respect to k.\nAnswer: -2*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -13*d**2. Let u = -112 + 114. Suppose -2 = -u*j - 4*n, -2 = -4*j - 5*n + 8. Let z(g) = -j*g - 5*g + 11*g. Determine z(x(f)).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + 0 + 0 - sqrt(252))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4, 0, -16, -50, -108?\n\"Answer: -t**3 + 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -6*d + 89. Let o(p) = -5*p + 100. Give 5*o(h) - 4*v(h).\nAnswer: -h + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 554 = -4*k, -k = 3*u - 5*k - 586. Suppose 16*n = 14*n + u. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1895956340 to the power of 1\/3, to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11093 + 15635. Is r a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i - 2*i + 2 + 2 - 4*i**2. Let o(j) be the second derivative of j**5\/20 - 5*j**4\/12 - 5*j**3\/6 + 5*j**2\/2 - 274*j. Calculate -5*m(v) + 4*o(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 70*i + 2. Suppose 3*j + 5 = 8*j. Let y be c(j). Let z be (-12)\/y + 62\/12. Solve -z*t - 3*u + 2*u = -28, -t + 14 = 3*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9018 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 227149 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (360\/(-9))\/(365\/219)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -18*(-2)\/72*(-1 - 3). Which is the third smallest value?  (a) 5  (b) 42  (c) s  (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-3)*(-5)\/(1 - -19).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44882048 to the nearest integer?\nAnswer: 6699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -508.553 rounded to the nearest integer?\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (21\/3 + 2)*-1. Let d(t) = -t - 4. Calculate the remainder when 13 is divided by d(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.124 - 0.063. Let h = 0.05 - 0.1. Let x = i + h. Round x to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -3*a**2 + 52*a - 14. Let k be t(17). Solve 0*u - 2*u = -k*m + 15, 5 = m - 2*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 242, 241, 224, 179, 94, -43, -244?\n\"Answer: -2*t**3 + 4*t**2 + t + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1128?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/45)\/(12\/180)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*k + 281 + 419*k - 140*k - 138*k.\nAnswer: -k + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -17*t**3 - t**2 - 7*t - 6. Calculate h(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560 = 108*x + 1424 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(175) + -5*sqrt(175) + 1)**2)*-2.\nAnswer: -5596 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - 5 - (67 + -9*(-3)\/(-3)). Which is smaller: 43 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07559 + -0.076. What is w rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -248 - -2067\/8. What is the common denominator of i and -7\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -52*y**3 + 2*y**2 + 4*y + 1. Let f be l(-1). Suppose 0 = -8*z + 171 - f. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 66632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - v - 1. Determine q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, q: 1, s: 2, m: 9}. What is prob of picking 1 m and 1 x?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 39, 146, -3, 3, -4 in descending order.\nAnswer: 146, 39, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*h**2 + 10*h + 7*h**2 - 12*h)*(-5 - 12 - 6).\nAnswer: -345*h**2 + 46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 0 + sqrt(7))*6.\nAnswer: 6*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -28\/3*t**3 - 103\/12*t**4 + 48*t + 0*t**2 - 1. Find the second derivative of x(v) wrt v.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7206 is divided by 240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -86 - -109. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 38 = -66. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011 (base 2) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4544 - -660?\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1539, -1556, -1587, -1638, -1715?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*i**2 - 16*i**2 + 56*i**2 - 16*i**2 - 10*i**2 - 82*i.\nAnswer: -2*i**2 - 82*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -412*n**2 - 3*n + 268. Let u(q) = 616*q**2 + 5*q - 402. Let f(g) = 5*u(g) + 8*z(g). What is the second derivative of f(t) wrt t?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92748343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/4 + (-9262)\/(-2105)*10\/(-4).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00116272 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0) + 0 + 0 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*y + 40*y - 27*y + 34*y + 4*y + 1 - 18*y**2 to b*y + u + t*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 19*p**3 - 6*p**2 + 21*p - 14. Let d be l(6). Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3718?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lzzj when four letters picked without replacement from {t: 2, j: 1, e: 1, l: 1, z: 2, r: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*a**2*h**2*i - 6*a**2*i - 3*a**2 + 46*a*h**2*i + h*i - 3 with respect to h.\nAnswer: -6*a**2*h*i + 92*a*h*i + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-375)\/275)\/(30\/(-550)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 7:56 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6600 and 2520?\nAnswer: 138600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*-1 + (-752)\/(-2). Calculate the remainder when 48 is divided by (2\/(-4))\/((-11)\/o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/74 or 47.8?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 3  (c) 4\/7  (d) 2\/3  (e) -3.6  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.13832, -781 in descending order.\nAnswer: 0.13832, -4, -781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 2131 - 10125 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 770675*k**2. Let f(n) = -n + 21. What is f(z(v))?\nAnswer: -770675*v**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 222743551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44 and (2\/(-10) + -1)\/((-48)\/720)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*q - 103863 = 49455. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 778891 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000347193 rounded to seven dps?\nAnswer: -0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 7:32 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 847, 4.\nAnswer: 1, 4, 847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**4\/12 + 2*i**3 - 3*i**2\/2 + 63*i + 5. Let w(l) = -l**2 - 25*l + 5. Determine 5*q(p) + 3*w(p).\nAnswer: 2*p**2 - 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v + 4 - 3*v - 6*v + 5*v. Let i = -5 - -9. What is the smallest common multiple of i and q(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 54*f**3 - 4*f + 19. Let y = 126 + -130. Let k(w) = -109*w**3 + 9*w - 38. Let p(g) = y*k(g) - 9*v(g). What is the first derivative of p(n) wrt n?\nAnswer: -150*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2728003.90089 + -2727989. Let f = k - -76.10381. Let l = -91 + f. What is l rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c + 7. Let p be l(-3). Suppose p*g = z + 3*z + 48, -4*g + 60 = -z. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from ccccccccocccc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 s when three letters picked without replacement from {f: 4, y: 2, s: 4, t: 4, d: 4, n: 1}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -79\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 106*p + 9896. What is j(-66)?\nAnswer: 2900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 695495 - 271706. Suppose w = -2*j - 478211. What is j rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {h: 11, c: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-7))\/((w*w**(-3))\/w))\/((w**(3\/2)*w)\/w**(-2\/5))*(w**(-6)\/w**(-2))\/((w**(-2\/7)\/w)\/w)**(-1\/36) assuming w is positive.\nAnswer: w**(2543\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 2:55 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 341, -4, 2, -8.\nAnswer: -8, -4, 2, 20, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + x + 129 = 4*r, 4*r - 144 = 4*x. Let y(l) = 5*l**2 + l - 2. Calculate the remainder when r is divided by y(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**7\/(v*v**(-2\/7))*v*v*v**(-3\/7)*v*v**(3\/8) assuming v is positive.\nAnswer: v**(517\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(78\/(-3965)) - 16. Solve 13*c - 380 = -f for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*h**2 - 194*h**2 + 96*h**2 + (2*h - 3*h - h)*(-h - h + h) + h - h + 4*h**2 to the form q*h + k + a*h**2 and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(2\/11)*r*r*r**(1\/3))\/((r*r**(3\/5)*r)\/(r*r\/(r*(r\/(r**(1\/10)*r))\/r))))**(2\/19) assuming r is positive.\nAnswer: r**(199\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -661ac9 (base 14) in base 10?\nAnswer: -3462321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 5.2  (b) -1  (c) 4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1108347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -107 (base 9) to base 4\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2011151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y**(-20)*y)*(y**(-37)\/y)\/y assuming y is positive.\nAnswer: y**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -13. Suppose -3*d = 2*h - 6, -h + 5*d + z - 24 = 0. Let v(n) = 2*n + 2. Give v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*y**4 - 102 - 10*y**3 + 11*y**3 - y**2 + 9*y**4 + 15 in the form i*y + l*y**2 + p*y**3 + a*y**4 + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 3*i**5 + 531*i**4 - 30294*i**3 + 464778*i**2 - 2029293*i + 2679075 = 0.\nAnswer: -225, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -420778, -421227, -421676?\n\"Answer: -449*z - 420329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iui when three letters picked without replacement from iuii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 0*k - 8 = 0. What are the prime factors of 35 + -2*(-3)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 3*p - 6. Let r be a(5). Suppose 8*j - 33 = -r. Let w be -2 - (0 + 2 + -3). Put 0.4, j, w in descending order.\nAnswer: j, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 32993.1941 to the nearest 10.\nAnswer: 32990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -s**4\/8 - 198*s**2 + s. Let p(l) = 103*l**2. Calculate p(r(j)).\nAnswer: 927*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 6*p**2 - 6*p - 7. Let m be a(7). Suppose 12 = 3*b - m. Suppose 4*o - 3*t - 82 = -o, t = -b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 68 - -b982?\nAnswer: ba2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11, -10, -3, 16, 53, 114, 205?\n\"Answer: g**3 - 3*g**2 + 3*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57886 is divided by 129.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3*b + 30 = 0, -12*b + 17*b + 13 = -4*c. Let s(p) be the first derivative of 4*p**c + 1\/2*p**4 - 5 + 12*p**2 + 16*p. Factor s(k).\nAnswer: 2*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-7)\/z*z\/z**(-2\/17) assuming z is positive.\nAnswer: z**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 654\/109*1\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19062363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(279\/(-775)))\/(-35)*(-24)\/10?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 0*a + 1042. Let p be a\/(3 + 7\/(-2)). Suppose -4*u + p = -3*m, 2*m = -u + 5*m + 521. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from jvjvjrjjorwrjvvwvvvr.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16224\/1827 - 7) + (-1006)\/43761.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-20)\/165*-18\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p**4 - 4 - 5*p - 3 + 4 to the form v*p**2 + g + d*p**4 + q*p + o*p**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -5*t. Let y(l) be the first derivative of -2*l**3\/3 - 7. Determine d(y(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -4  (b) -1  (c) -2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 64080.\nAnswer: 64080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17596\/3 - 5865. Let l = -4.89 - 0.11. Which is the closest to 0?  (a) 4\/7  (b) l  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.418719 - 0.4.\nAnswer: -0.818719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2828 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21733 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*p, -2*p + 17*s - 15*s + 4 = 0. Let c(f) = 5*f + 4. Let n be c(-4). Sort n, p, 4, -1.\nAnswer: n, p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 888289439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 61651*z + 246618. Determine h(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -1, -5, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 32 = -4*b + 2*c, c = b - 7. Suppose b*w - 32 = 25. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9347, 9744, 10405, 11330?\nAnswer: 12519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from vvvvxxffxv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1624)\/30 - ((-96)\/45 + 2). Let s be 20\/24 - 5355\/p. What is the greatest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1586329 is divided by 528694.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 33068247 divided by -1945191?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 0 + 3*a - 1 - a + 6. Let g(l) = -2*l - 4. Calculate 5*g(q) + 4*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 175*u**5 + 2460*u**4 + 12545*u**3 + 27420*u**2 + 21600*u = 0. Calculate u.\nAnswer: -5, -4, -3, -72\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 - 21. Let y = q - -13. Let l be 3\/y*6 - 2. Sort l, -1, -5 in decreasing order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 5:17 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*r - 17*r - 12 - 8*r)*(2*r**3 + 2*r**3 - 2*r**3).\nAnswer: -4*r**4 - 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -9*u**3 + 13*u**2 - 17*u. Let i(l) = 2*l**3 - 3*l**2 + 4*l. Calculate 26*i(r) + 6*n(r).\nAnswer: -2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 4:27 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -273 - -2459\/9. Which is the closest to -1\/2?  (a) 0  (b) m  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k + 10*k = 0, -10*z + 6*z + 5*k + 214 = 13*z - 41 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-6 + 25)*(8 + (-35)\/5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -33*7\/(-1386)*(-12)\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2201030 - 2303?\nAnswer: -2203333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4312*k - 2174 = 2164*k + 2194*k - 472 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*v**2 + 36*v**2 + 0*v + 0*v.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 25*(-9)\/(-36) - 8?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -j + 1. Let h = -0.904 + 0.604. What is the nearest to j in 2, h, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2 + 33 = 5*z, -2*k = -5*z + 21. Suppose -42 = -5*f - k*f. Solve -3*g - 12 = -f*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(8\/(-10)))\/(((-60)\/(-1512))\/(-1)*-3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 100489975*b - 100489975*b + 35208*b**2 to j + z*b + d*b**2 and give d.\nAnswer: 35208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*k = 933 - 3637 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 11:16 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -3 - 28*u - 55*u + 7 + u**2 - 63*u + 145*u - 3. Suppose 5*w + 24 = w. Let o(q) = 9*q**2 - 6*q + 8. Determine w*k(r) + o(r).\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of 23*j**6\/15 - 11*j**4\/3 - 6*j. What is the third derivative of x(p) wrt p?\nAnswer: 1104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15*-1*2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 444582071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 636.476s?\nAnswer: 636476000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/13 - 48*j\/13 - 238\/13.\nAnswer: -2*(j + 7)*(j + 17)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2846.38609 + 2782.3860947. Let s = 160 + -224. Let d = s - t. Round d to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1)*(-2 + 0 + 0)*(-57*s - 16*s**2 + 57*s - 2) + 298*s - 298*s + 25*s**2 + (s**2 - s + s)*(-5 + 1 + 5) + 2*s**2 + 0*s**2 - s**2.\nAnswer: 59*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 81\/1863 + (-1116)\/1863\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of 0 + p**2 + 1\/32*p**4 - 1\/80*p**5 + 0*p**3 + 0*p. Factor u(k).\nAnswer: -3*k*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 94 - 60. Suppose 11*o - 7*o = 0, x - 7*o - 51 = 0. What is the greatest common divisor of v and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, -1402, 2?\nAnswer: -1402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*3*(sqrt(288) + (sqrt(288)*1 + sqrt(288))*-2)*3 + -2)**2.\nAnswer: 3888*sqrt(2) + 1889572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 88 = -98. Solve r*q + 3 = -2*o + 3*q, o = q - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/8 - -1*(-516)\/(-1048). Let k = u + 531\/917. Factor -6\/7 + 2\/7*w**2 + k*w.\nAnswer: 2*(w - 1)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14960866.902 to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 47 = -5*y, -52*d + 26*d = -25*d + 3. Let v(q) = 4 - 2*q + 3*q - 2. Give v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3883)\/1765 - 126\/(-55)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 247 and -24.4087748?\nAnswer: 271.4087748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8885517797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19923 and 340278199.\nAnswer: 6641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/14 + 23\/7. Suppose t*i - 58 = 8. Suppose -59*n + 274*n = -8241 + 22001. What is the remainder when n is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/12355 at least as big as 2275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c**2 - 2560*c + 5124 = 0.\nAnswer: -2562, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2045, -4732, -7431, -10148, -12889, -15660?\n\"Answer: -a**3 - 2680*a + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/9448551 and -16\/1349793.\nAnswer: 9448551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 40*i**2 + 43*i + 93. Let u be r(-41). Solve -u = -8*x - 35 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/44)\/(654\/(-1199)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*p - 17 = 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 3. Let u(j) = 14*j - 2. Calculate the remainder when u(3) is divided by 44\/h + (-14)\/21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1238, 2474, 3710, 4946?\n\"Answer: 1236*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*i**2 + 2*i**3 + 9*i**2 - 7*i**3 + 4*i**3 in the form m + b*i**3 + k*i**2 + o*i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*u**2 + 23*u**2 - 6*u + 6*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4555*f**2 - 4555*f**2 - 20*f**3.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16688 and 6244.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2.5. Suppose 0 = -0*i + 6*i + 24. Let z be ((-1)\/1 - (3 + i))\/4. Which is the closest to z?  (a) w  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n + 3*n + 3*n - n + 5*n + 5. Let r(j) = -20*j - 14. Let z(g) = g**2 - 6*g + 1. Let u be z(5). Determine u*r(p) - 11*f(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - -6 - (7 - 0 - (20 + (-12 - 5))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**2 - 26*m - 24. Determine q(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/114 and 43\/286?\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -5, 3\/101, 3, -57, -1\/2, 31?\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4049, -8108, -12167, -16226, -20285?\n\"Answer: -4059*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in 219, 1\/4, 13, 10, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 4  (b) -1\/3  (c) -2\/43  (d) -13\/3  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -331\/21 + 47\/3. Which is the closest to 0?  (a) -1  (b) 0.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35 and 0.19?\nAnswer: -6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, -72, 1, -512, 9 in increasing order.\nAnswer: -512, -72, 1\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238376.\nAnswer: 2, 83, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i - 2. Give h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 - 260*g + 265.\nAnswer: -5*(g - 1)*(g + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 8*w**2 - 3. Let b be t(-2). Let n(i) = i**2 - 30*i + 28. Let g be n(b). Is 17 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19578244 and 49588.\nAnswer: 215360684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2636 times -0.44772?\nAnswer: 1180.18992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33 - 5. Let t = 28.2 - w. Which is the closest to 2?  (a) -1  (b) t  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 6*c**2 + c + 242. Let z(s) = s**3 - 7*s**2 - s - 241. Let v = 11 - 5. Let j(d) = v*n(d) + 5*z(d). Is j(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 smaller than 17963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 320051 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -13*c**2 - 105*c + 38. Let t(p) = -7*p**2 - 52*p + 21. Determine -4*j(v) + 7*t(v).\nAnswer: 3*v**2 + 56*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/5)\/(2\/(-10)). Let q(c) = -2*c + s*c + c. Let l(i) = -8*i + 6. Let y(j) = 15*j - 10. Let w(v) = 10*l(v) + 6*y(v). Give w(q(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54.2 + -57.39. Let v = c - -3.11. Is 22 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-14)*-2)\/((-151)\/1057) - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 61 - 71 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5445\/385*(-7245)\/(-1265)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2270 + 2278. Solve 4*h - 5*v - 6 = 0, 13*h - 10*h - 2*v = j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 32903510 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 3, -0.6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*l + 105*l = p + 6, -4*p - 5*l = -51 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59153.07 - -59450. Let b = -263.9 + p. What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -120*z**3 + 237. Let b(l) = 2*l. Determine p(b(n)).\nAnswer: -1440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l**3 - 31*l**2 - 9*l + 88. Determine s(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 18\/17, 2, 17 in descending order.\nAnswer: 20, 17, 2, 18\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(325) - sqrt(13))**2 + sqrt(13)*1*-1)*2.\nAnswer: -2*sqrt(13) + 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10110 - 12?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2\/((-4*3)\/2 - (-1244992)\/207494)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.2  (b) -6\/65  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 - -38. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-3 - -1) + (7 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3035 + -0.2.\nAnswer: -0.5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 11:08 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.00919 in -5, -63, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 24 = 9*j. Calculate the remainder when 35 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -898*r**2 + 24242*r\/3 + 12 = 0.\nAnswer: -2\/1347, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*t**2 + 3*t + 6.\nAnswer: -3*(t - 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -6382670 divided by 38\nAnswer: -167965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, m: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/9401782 and -127\/86996.\nAnswer: 131624948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 56460 minus -83753013?\nAnswer: 83809473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(285)\/(2*sqrt(245)))\/(sqrt(48) - ((-2*sqrt(144))\/sqrt(3) + sqrt(48)))*4.\nAnswer: sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*w - w - 7*w)*((-w + 2*w**2 + w)*(-19 + 19 + 8*w**2) + 4*w**4 + w**4 + 0*w**4).\nAnswer: -315*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 - 0)\/(19\/(-152)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 7*o**2. Let s = -1 + 4. Let p = s + 1. Let i(l) = 3*l - p*l - l. Determine i(t(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 5 = -l, 2*j + 2 = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146 divided by 73.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**2 + 47*h - 74*h + 27*h.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*p - 1604 + 620 = 14*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 584 - 343. Which is greater: 243 or d?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1015 - -1189. Calculate the remainder when j is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4907 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 0)*1 - -1084. Suppose v = 2*p - 506. Let t = p + -3151\/4. Find the common denominator of 39\/5 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*t + 5. What is the remainder when t is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 8) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 232, -3\/5, 4, 17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 o, 1 b, and 1 s when four letters picked without replacement from {j: 3, o: 1, b: 4, s: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w**2. Let i(y) = y - 5 + 18*y - 2*y - 2. Let t(u) = 8*u - 3. Let g(f) = -3*i(f) + 7*t(f). Determine d(g(z)).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 7*z = 36. What is the units digit of -7 - (-76)\/12 - 2544\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - -1. Suppose -o - 1 = -3*j, -k*o + 0 + 10 = -5*j. Suppose q + 11 = 4*y, -5 = -3*q - j*q + 5*y. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14221.8224 to the nearest 100.\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fmmfmfzmfebemee. Give prob of sequence me.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 113 + -112. Solve 3 - u = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 3 - (1 + (-3 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51314368 and 8064?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 429 and 9597822.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 32 = -2*u - 3*i, -2*i = -5*u - 12. Which is the second biggest value?  (a) -0.2  (b) u  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 2 + 1)*(7*x**4 + 2*x**4 - 2*x**4) + (x**3 - 2*x**3 - 2*x**3)*(-308 - 12*x + 308))*(x + x - 3*x).\nAnswer: -29*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 100959, 100956, 101037, 101244, 101619, 102204, 103041?\nAnswer: 104172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 AM and 4:59 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 500 and 6509150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 660 + -348. What is the remainder when o\/10 + (-8)\/40 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -792*a**2*f + 42545*a**2 + 20*a*f with respect to f.\nAnswer: -792*a**2 + 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0 + 2 = 0. Let m be (k - 19)*(-6)\/12. Let l(c) = -c**2 + 5*c - 11. Let p(v) = -7*v**2 + 32*v - 76. Let n(d) = 15*l(d) - 2*p(d). What is n(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.118436454 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1118 - 2231 + 1113 + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-3))\/(-4*3\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)\/(sqrt(36)\/sqrt(4)))**2*4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-9) - 4\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**4\/11 + 6*d**3\/11 + 2*d**2\/11 - 6*d\/11 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4062638.03 to the nearest one hundred.\nAnswer: 4062600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 20 = -0*t. Let p(w) = -5*w - 47. Let n be p(t). Solve 3*d - 10 = -d + 2*g, g = -n*d + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 7 = -z, z + 19 = l - 6*l. Let v be (-38)\/z - (-3)\/(-6). Let h be (12\/(-60))\/(3\/(-5)). Is v at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -10, 5, 8, -7, -46, -115, -220, -367?\n\"Answer: -q**3 + 22*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 4:23 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -3. Suppose 0*l + 34 = c*l. Suppose -3*n + 10 = -l. Solve 4*o + u + 21 = 0, -2*o + u = -0*o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + -55. Let g = -515312244 + 515312185.9999922. Let z = g - h. Round z to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 4*a + 28, 0 = 5*a - 10*a - 3*m - 32. Let v be ((-64)\/28)\/((-1)\/a). Let b = 334\/35 + v. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -5*j**4\/4 - 65*j**3\/3 + 450*j**2 - 1980*j + 1440. Find q, given that d(q) = 0.\nAnswer: -22, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4.72 from 0.5.\nAnswer: 5.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6435 - 6448. Let m be 195\/20 + (-2)\/(-8). Let y be 23\/(-5) + (-4)\/m. Which is the biggest value?  (a) y  (b) 1\/4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + -3287\nAnswer: -3286.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - -0.5847.\nAnswer: -13.4153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 595177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, -3, -0.07.\nAnswer: -3, -0.07, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*h**4 + 87*h**3 - 2*h + 4447 wrt h.\nAnswer: -8*h**3 + 261*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**3*p)**(-8\/11)*(p**1*p)**31 assuming p is positive.\nAnswer: p**(690\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32250 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-28392)\/98 - (-4)\/(-14). Calculate the common denominator of (z\/(-42))\/((-330)\/385) and 7\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**3 + 8*m**2 + 5*m + 2. Let y be (67 + -62)\/(8\/12 + 2\/6). Calculate z(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/53 - -49\/106. Let l = 17980.4 + -17980. Which is the nearest to 1?  (a) l  (b) v  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.038304 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.42027315 rounded to four dps?\nAnswer: -3.4203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - ((-4 + 0 - -6) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7*k + 269 = 2*k, 3*m - 261 = -3*k. Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*b - 10*b. Suppose -9*o = -o. Solve -j - b*j + 10 = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 7*q**2. Let m(a) be the third derivative of a**6\/180 + 13*a**3\/2 + 2*a**2 - 38*a. Let d(f) be the first derivative of m(f). Determine d(o(t)).\nAnswer: 98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 58 = -7*i. Let x = -20 + i. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s + 46. Let b be q(-12). List the prime factors of 4\/b - 202059\/(-165).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9810*r + 9849*r - 585 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1300860 and 5346?\nAnswer: 3902580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + -2 - (31 + -9)) + (-261 - -248)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 89877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4982412394 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.8561 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -491 - -63. What are the prime factors of f\/(-28) + 2\/(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i - 43. Determine w(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18504 and 5824512?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 3*v = -14*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -124, -250, -362, -454, -520, -554?\n\"Answer: q**3 + q**2 - 136*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 596295 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 4*z = -4*u + 76, -2*u + 4*u = 3*z + 13. Suppose 3*b = 2*r - u, -2*r + r = -3*b - 10. Solve -n = -r*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 q, 1 b, and 1 a when four letters picked without replacement from {a: 3, z: 3, j: 1, b: 7, w: 1, q: 2}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2504616 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccqqq.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 197, -1\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 2:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 165 = -a, 143 = -5*s - a - 70. Suppose -p + 8*p + 42 = 0. Let z = p - s. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a**2 + 0*a**2 - 3 + 16 + 0*a**2 + 2 + 27.\nAnswer: -3*a**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 593842.\nAnswer: 2, 296921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6780 and 42400740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2608142 millilitres in litres?\nAnswer: 0.0002608142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 11*f - 6*f**2 + 3*f**2 + 4*f - 1 + 2*f**2. Calculate the smallest common multiple of y(11) and 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/1130 and 25\/8.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1944, 3857, 5748, 7629, 9512, 11409, 13332?\nAnswer: 15293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d7e690 + -5?\nAnswer: 1d7e68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + 86. Find the first derivative of -88 + 74 + b*q**3 + 58 wrt q.\nAnswer: 291*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-48)\/(-4)*(-2)\/(-6). Suppose 0 = 5*c - 0*q + 2*q - 988, v*c - 795 = 3*q. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13013968 is divided by 699.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 456960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91766\/35 - -2621. Let x be -1 - (-135)\/153 - 201169\/(-68). Let h = x + -2982. What is the common denominator of s and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -128495\/5409 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) -2  (b) -3\/4  (c) 3\/5  (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -8. Let j(f) = 7*f - 5. Let q = 5 - -12. Let i(b) = 20*b - 14. Determine h*i(l) + q*j(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 1621629 = 12*g. Let r = g + -93281. What is r rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r + 7. Let c(g) = -1447*g + 218. Let v(d) = c(d) + 2*m(d). Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y**2 + y**2 + 0*y**2 + (-2 + 2 - 2*y**2)*(-18 - 22 + 13) in the form l*y + n*y**2 + u and give n.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 + 6*o - 6. Suppose 0 = -2*k + 3*k + 8. Let u be (k\/(-6))\/((-6)\/9). Let v be (-4)\/u + -2 + 5. Give c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 794460 to the nearest 1000.\nAnswer: 794000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/4*-11 + 12\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) 3\/31  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -319 = -14*m - 2041. Let z = 120 + m. Let d(s) = s**3 + 2*s**2 + 2*s - 1. Let l be d(-2). Put l, -29, z, -1 in ascending order.\nAnswer: -29, l, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1445\/4 - 360. Let q = -13.2 - -13. Which is the nearest to q?  (a) v  (b) 0.5  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 + -15. Let z(t) be the first derivative of -t**3\/3 - 7*t**2\/2 + 4*t - 28. What is the lowest common multiple of 1 and z(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/309712 and 19\/1587274.\nAnswer: 12698192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 33\/9*1269\/(-94). What is the biggest value in -3\/5, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + o**2 + o - 24. Give x(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q - 24*q - 286 + 286 - 24*q + 8*q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = 2*y - y. What is the remainder when y is divided by (-5)\/((-2)\/(-12) + (-33)\/90)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -59?  (a) -1  (b) 0  (c) 0.13  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*x = 192, 5*x - 5 = -25. Sort -1\/6, j, 1\/7.\nAnswer: j, -1\/6, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 4)*(28*o - 27*o - 133*o).\nAnswer: -132*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 226, 235, 250, 271, 298, 331, 370?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from viyqnniqr. Give prob of picking 1 q, 1 n, and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 233613251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/3 + 92*y**2\/3 - 26*y - 180.\nAnswer: -2*(y - 45)*(y - 3)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.6 - -3.4. Suppose 4*r = -4*v + 80, 0 = 2*v - 5*r - 0*r - 47. Suppose -3*j = -j - 4*q + 18, -3*j + 4*q = v. What is the biggest value in j, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -s + 5*f, 3*s = -2*s + 4*f + 122. Let x(k) = -k + 17 - 7*k**2 - 34 + s. Let l(d) = 8*d**2 + d - 6. What is -5*l(h) - 6*x(h)?\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33 - -12. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1206779 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -25, -88, -151, -214?\n\"Answer: -63*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-40)\/(-8)*(2 - 1). Calculate the greatest common divisor of 45 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**4\/2 + 2229*m**3 + 342930*m**2 + 1342723*m + 2004045\/2 = 0 for m.\nAnswer: -145, -3, -1, 4607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*u - 8*u - 2*u - 3 + 6*u - 22*u**2 - 64*u**2 wrt u?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*f - 4*f - 9*f)*(0 + 2 - 1)*(-2*f + 2*f**2 + 2*f).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8848 and 997928.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1\/3, -4, 1\/2, -4\/31.\nAnswer: -4, -4\/31, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -65, -3 in decreasing order.\nAnswer: -3, -33, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*h, -4*h + 0*h = -3*i - 20. Let s(w) = -h*w - 2*w + 6*w. Let n(k) = 4*k + 13. Let m(o) = 2*o + 6. Let v(a) = -13*m(a) + 6*n(a). Determine v(s(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -142 at least as big as -27843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25267 is divided by 261?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/504 and -29\/630.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 - -16. Let q = j - -1. Calculate the least common multiple of q and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*y + 13*y - 8*y)*(-4*y + 2*y + 0*y).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.255 + 0.035. Let a = d - -1.21978. Round a to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-27)\/72*(-8)\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**2 + 1. Let w(o) = -5*o**2 - 12*o - 1. Let n(s) = -m(s) - w(s). Factor n(k).\nAnswer: 3*k*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**1)\/z)**(12\/11) assuming z is positive.\nAnswer: z**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 60997, -24 in increasing order.\nAnswer: -24, -2, 60997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z - 21. Suppose 0 = n + n - 28. Suppose 2*i = -4*t + 14, 3*i = i - 3*t + 13. Calculate the remainder when w(n) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -13*g**2 + 889*g - 1775*g + 886*g + 1. What is f(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/3, 61, -35\/3, -2\/17, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (4 - 0) - (1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.174, 0, -1\/8 in decreasing order.\nAnswer: 0, -1\/8, -0.174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 2 - -15 - (-379 - -334 - (-6 + -68)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 540 = m + 4*m, -2*s + m - 207 = 0. Suppose 0 = -27*b + 414 + 639. Let t be 12\/(-21) - b\/s. What is the closest to 1 in 4, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63099294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*139\/(-278))\/(2\/(-8)*(-6)\/(-117)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 7:14 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -p**3\/3 + 5*p**2 - 5*p - 4. What is j(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 3*v - 24, v - 40 = -2*x - v. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 7 = 2*o + 5*t, -4*t = -4. Let v(g) = g**3 + 3*g**2 + 2*g - 1. Calculate v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1))**(-40)*y**(-1\/4)*y**(-20) assuming y is positive.\nAnswer: y**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7377530?\nAnswer: 2, 5, 737753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-100)\/(-80)*(-29)\/580.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4149*k + 66788*k**3 + 4149*k - 66782*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5626, 11251, 16876?\n\"Answer: 5625*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 387.3386 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2224 divided by -5?\nAnswer: -2224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -244949 (base 10) to base 4.\nAnswer: -323303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/46 and 11\/102.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 5*i - 3. Let k be p(3). Suppose -2*z = -4*x - k, -6*x = -4*x + 2. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 31*a**3 - 4*a**2 + 4*a - 2. Let r be s(2). Calculate the common denominator of -9\/4 and -1 + -1 - r\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5*t + 2. Let v(p) = 9*p + 3. Let s(k) = 7*d(k) - 4*v(k). Let l be s(6). Which is the closest to -1?  (a) 1\/3  (b) l  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 11 + 0*d + 10*d + 3*d**2 + 4*d. List the prime factors of k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**5\/6 + 41*n**4\/3 - 1597*n**3\/6 - 574*n**2 - 294*n = 0.\nAnswer: -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -152*d - 7. Let x be b(1). Let w = -94 - x. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w - 59 = -59. Let j = -2\/17 - 11\/51. Let r = -12\/19 - -55\/57. Which is the nearest to j?  (a) r  (b) -0.5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/8245?\nAnswer: -2\/8245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, v: 3, s: 1, t: 6, o: 3}. What is prob of picking 2 t, 1 y, and 1 o?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43627, 67135, 90643, 114151, 137659?\nAnswer: 161167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 11. Let x = d + 22. What is the greatest common divisor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*y + 12, -3*l = -0*l - 3*y. Let q = 16 + -12. Let w be ((-2)\/q)\/(l\/(-2)). Is 1\/3 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -197 times 3136?\nAnswer: -617792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2363*d - 1 + 2*d**4 + 2 + 2364*d + d**4 - 5*d**2 + 23*d**3 to h*d**4 + m*d + x*d**2 + y + c*d**3 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from ciigsgsrkiggsks.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10014815 or 10014816?\nAnswer: 10014816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**5 + 4*x**5 - 4*x**5 + (-x**3 + 2*x**3 - 3*x**3)*((-11*x - 7*x + 6*x)*(-13*x + 6*x - 11*x) + 0*x**2 - 9*x**2 + 7*x**2).\nAnswer: -426*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d - 5*g - 4 = -10*d, d + 56 = 16*g for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -6*w**3 - 3*w**2 - 3. Let y(h) = 11*h**3 + 5*h**2 + 5. Let s = 735 - 730. Determine s*a(t) + 3*y(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 12 = 2*l, 3*f - 24 = -0*l + 4*l. Let y(d) = -6*d**2 + 11*d - 5. Let i(b) = -13*b**2 + 23*b - 11. Let p(w) = 4*i(w) - 9*y(w). Is p(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/7)\/((-610)\/427)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 1:15 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -28*(-18)\/12*4\/((-72)\/(-6))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5221 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/2)*n)**41\/(n**(2\/5))**(-36)*(n*(n**(4\/9)\/n*n)\/n*n\/(n\/(n*n**(-5)*n)))\/(((n**(-3)*n)\/n*n)\/(n\/n**(3\/2))) assuming n is positive.\nAnswer: n**(1523\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 320 - -45. List the prime factors of y.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - d - 342 = 0, 5 - 3 = -d. What is the highest common divisor of 34 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -136, -274, -412?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -6 + 12 - -2 - -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48 - 46.04. Let c = j + 3.78. Round c to 1 dp.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/2  (b) 1.2  (c) 8\/29  (d) -0.3  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -62325?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is b969 (base 15) in base 6?\nAnswer: 501413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 84 in -2, -4\/5, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -3 + (2 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1783 - -153335\/86. Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1989812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 9*t**2 + t + 12. Let l be p(-9). Factor 6*m**5 + 3*m**5 + l*m**3 + 3*m**5 + 2*m**2 - 13*m**5.\nAnswer: -m**2*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -181.578136 - 1.03\nAnswer: -182.608136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 10) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71*l - 166 - 149 - 182 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55*g**2 - 6 - 26*g - 164*g**2 - 5 + 13*g - 13 wrt g?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5.6 from -168359.\nAnswer: -168364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/9 + 46\/3. Suppose -2*v + 7*v = -o. Let a be v*((-30)\/(-63))\/(-5). What is the smallest value in a, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -208 - -494. Find the second derivative of 10800*z**2 + x*z**3 - z + 32 - 10800*z**2 wrt z.\nAnswer: 1716*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 364*l**2 + 91*l - 18. Let i(q) = 181*q**2 + 46*q - 8. Let p(o) = 9*i(o) - 4*s(o). What is the second derivative of p(v) wrt v?\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/20 and 7\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 4:52 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 71020, 71015, 71010, 71005, 71000?\n\"Answer: -5*x + 71025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 1:06 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 43 - (-80 - 38)) + 8?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 19*k**4 - 2*k**2 + k**3 + 53*k**4 + 35*k**4 + 11 to the form m*k**4 + a + t*k + j*k**3 + p*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 774901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (16\/6)\/((-6)\/(-9)). Suppose -4*k = -k - 108. Suppose -5*g - 12 = -b - 3*b, 3*g = -3*b + k. Solve -2*h = -0*h - 2*c - b, -2*c = -r*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {h: 1, d: 2, x: 4, f: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3984132 is divided by 1328043.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*(c*c*c*c**(-2\/9))\/c)*c**(1\/9)\/c)\/(((c*c*c**(-5\/3))\/c)\/(c*c**14*c)) assuming c is positive.\nAnswer: c**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k + k**5 + 0*k)*(-2 + 5 + 0) + 4*k**5 + k**5 - 6*k**5 + (-1 + 4 + 1)*(-k - k**3 + k)*(-2 + 4 - 4)*(-1 - 1 - 1)*(k**2 - 4 + 4).\nAnswer: -22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 3*f - 2*f)*(5 - 4 - 3 + 1 + 2 - 2 + (3 - 4 + 0)*(3 + 3 - 5) + 5 - 4 + 0)*(-120 - 43 + 41).\nAnswer: -732*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*51\/(-4)*((-116)\/87)\/((-8)\/(-4)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*t - 5*t**2 + 25 - 47*t - 25.\nAnswer: -5*t**2 - 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 606*v + 85 = 623*v. Let d be ((-144)\/45 + v)*5\/3. Let a**2 + 0*a**d + 0 - 2\/3*a - 1\/3*a**4 = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 259294461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/32*20\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2914298.9948 and -0.99.\nAnswer: 2914298.0048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 8 = -2*r - 2*y, 5*r + 3*y - 15 = 0. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**3\/3 - 1528*q**2 + 2334784*q - 4787. Find n, given that x(n) = 0.\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4.283  (b) 1  (c) 4  (d) 2  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) - ((sqrt(176) + -1 + -5)**2 - sqrt(176))) + 2 + sqrt(176) + 2.\nAnswer: -208 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3755976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (4 - 9 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 6. Is p < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -2*p**3\/15 - 4*p**2\/5 + 2*p\/15 + 4\/5 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(1\/39)*b**(3\/7) assuming b is positive.\nAnswer: b**(124\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -10. Let y(c) = -11*c - 20. Let i be y(-2). Suppose 0 = i*j - 3*a + 15, -j - 9 = -5*a + 16. Solve v + b = -j*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 0 + (-1 + 0 + 2)*(0 + 4 - 2) + 1 + 4 - 2)*(g + 3*g**5 - g).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/((((o**(-5)\/o)\/o)\/o)\/o*o))\/o*o*o**(-4\/5))\/(o**(1\/8)*(o*o*((o\/(o\/o**(-3)))\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(523\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -185*k**2 - 4*k + 2. Let p be c(1). Let r = 325 + p. List the prime factors of r.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 8 + 14 = -a, a - 2 = -3*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-1 - 2 - -1). Solve 0*y - 6 = 2*y + f*c, -y = -4*c - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*5*(3*sqrt(12) + sqrt(12)))**2 - ((sqrt(60)\/sqrt(4)*5)\/((sqrt(80)\/sqrt(2))\/sqrt(8)))**2.\nAnswer: 172725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from iyilyiiiiivivnilv.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 6:33 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 4*x - 17, 4*j + 2803 = -3*x + 2814 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -52. Let j = 92 - x. List the prime factors of j.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 - -3.4. Let y = z - 4. Which is the smallest value?  (a) 2  (b) -2\/99  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 125 - (31 + 9 - -52)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 380\/114)*((-243)\/(-10))\/(-9).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xyj when three letters picked without replacement from tyxhjjjhjj.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide (10 - 0)*15\/4*38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 29*b**2 - 22*b - 192. Give g(25).\nAnswer: 1758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10931a6 (base 11) to base 8\nAnswer: 7215550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 4) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39.89898m to centimeters.\nAnswer: 3989.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 609*c - 250*c - 257*c - 103*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 0 = -10. Let u(y) = -y**3 - y**2 + y - 4. Let g be u(0). Let m = -0.65 - -0.45. Sort o, m, g in increasing order.\nAnswer: g, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*n + 11, n = 2*n + 3*h - 6. Suppose 0 = 5*t - 15. Differentiate x**t + 2 - n - 3 + 4*x**3 wrt x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 95 + -27. Suppose 0 = 37*r - 3*r - c. Let u(k) = -17*k**2 - 12*k + 13. Let b = 19 + -10. Let w(v) = 4*v**2 + 3*v - 3. Calculate b*w(m) + r*u(m).\nAnswer: 2*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -15*a + 27. Determine k(13).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1603, -2, -7 in descending order.\nAnswer: 5, -2, -7, -1603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.13 - -0.07. Let g = 0 + d. Let m = -0.92 + 0.52. Which is the closest to -1\/3?  (a) g  (b) -5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4179\/14)\/(4\/(-1240000)*-5). Round v to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**2 - 3*v**2 + v**2)*(-211 + 78 + 93 + 5*v).\nAnswer: 5*v**3 - 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 4*k - 8. Suppose -2*r - 1 = 3*i, -2*r = -2*i - 5*r + 6. Let a(j) = j - 2. Let y be a(i). Let l = y + -1. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-12)\/(-16) - ((-165)\/20)\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p\/p**0))**(7\/6)\/(p*p**(4\/9)*p*p**(1\/4)*p))\/((p**(-1\/3)*p)\/p**0)**(-22) assuming p is positive.\nAnswer: p**(437\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9512 is divided by 90?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (88\/(-780))\/(-11)*(26 - 1). Let c = 1\/156 - r. What is the biggest value in c, -3, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43.5 or 0.1?\nAnswer: -43.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (138\/2)\/(0 + 1). Suppose -3*y - 2*n - 2 = -12, -5*y + 2*n = 10. Suppose -c + 30 + p = y. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 11, 0, 14, -15.\nAnswer: -15, -4, 0, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2, -0.1, -39, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 12*v + 17*v**2 - 61*v**2 + 24*v**2 + 16 + 19*v**2. What is s(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -123 - -240. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-3) + (-7)\/(-3). Suppose -2*y = h*y - 55. Calculate the highest common factor of y and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.02 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of -5*o**4\/12 - 184*o. Give q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n - 6*n + 2*k + 14 = 0, 5*n + 5*k + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.12405 and -3?\nAnswer: 3.12405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -115.16854 + -0.26146. What is r rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(112)*1 - (-2 + sqrt(112))*4)*5.\nAnswer: -60*sqrt(7) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119 = -59*o - 176 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -623 + 655. Let m be (4\/(-10))\/((-1)\/80). Find the second derivative of -c + n**2 - 12*n + m wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10304280 and 9208080?\nAnswer: 432779760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -232\/3 - -78. Let q = -1.95 - -1.77. Is y less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of 1847*n**3 + 12906*n - 7398. Find the first derivative of f(w) wrt w.\nAnswer: 11082*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence id when two letters picked without replacement from ododdio?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17353.\nAnswer: 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -3 - -7 - (5 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -70 (base 12) to base 8.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.3, 1\/3, -48\/31?\nAnswer: -48\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45 - 42. Suppose 2*s + 6263 = -b + 19341, d*s - 19635 = 3*b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17 + 168*h - 2780*h**2 + 2933*h**2 - 16 + 21*h**3 + 35.\nAnswer: 3*(h + 1)*(h + 6)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 524 + 414. What is the remainder when 1925 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 48000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 3  (b) -0.3  (c) 3\/2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 305410 (base 9) to base 4.\nAnswer: 230032011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8074230 to the nearest 10000.\nAnswer: 8070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 8f0854?\nAnswer: -8f0852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*a - a. Suppose -83 = -5*v - a*f + f, -4 = -4*f. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*z**3)*(13*z**2 + 18*z - 21*z**2 + 9*z**2).\nAnswer: 2*z**5 + 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*v - 23*v + 322 = 0. Let j(w) be the third derivative of 0*w**3 + 0*w - 12*w**2 + 1\/15*w**5 + 1\/12*w**4 - 2\/105*w**v - 1\/60*w**6 + 0. Factor j(l).\nAnswer: -2*l*(l - 1)*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11222001202 (base 3) to base 6.\nAnswer: -2032245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2*c - 15 = -2*k, 0 = 4*k + c - 9. Suppose k*m - 2*o = 23 - 80, -3*o = -2*m - 38. Let v = m - -54. 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 units digit of -1045*(1 - 2)*(-4)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 900, 2271, 4198, 6687, 9744, 13375, 17586?\nAnswer: 22383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16208034*t**2 - 72*t - 85712 wrt t?\nAnswer: 32416068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 66 = -3*m + 27, -5*u + 7*m + 96 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1628 and 1628?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -26134, -30006, -33880, -37756?\n\"Answer: -l**2 - 3869*l - 22264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 3*w + 3*x - 10, -5*w = -4*x - 1. Let r(c) = -c**3 - c**2 - c. Let z(j) = 2*j**2 - 3. Let f(y) = r(y) - z(y). Let u be f(w). Is 5 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 720 a factor of 528398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 374003, 748008, 1122013, 1496018?\nAnswer: 1870023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 13 - (-7 + 14) - -3) + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/90 - -6*4\/(-108)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 377138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 10339*s - 372210. What is h(36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000122961 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 1\/8, -2, -0.2, 20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 9 + (2 - -2) + -18 + 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-2) + 7194\/1452 + -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101100110101 (base 2) to base 16.\nAnswer: b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/14, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 0, -69 in ascending order.\nAnswer: -69, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 17*f**2 - 5*f + 100. Let n be h(0). Calculate the highest common factor of 270 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 6 - (1 + 8 + -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l - 3. Let c(s) be the third derivative of 5*s**4\/24 - 2*s**3\/3 - 4*s**2. Let z(g) = -3*c(g) + 4*v(g). Let d(b) = -5*b**2. What is d(z(j))?\nAnswer: -125*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 2*n + 4*r - 168, 0 = -3*n - r + 195. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 185238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 308 and 74844.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 10 = -10. Let d be 38\/266 + ((-20)\/(-7) - -1). Let l(m) = 4*m**2 - n*m**2 - 2*m**2 + 5 - d. Give l(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from {b: 9, q: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**2 - 11*d. Suppose 4*i + 28 = 5*h + 9, -4 = 4*h. Let f(v) = v**2 - 6*v. Let l(y) = i*u(y) + 11*f(y). Let o(k) = -3*k - 5 + 5. What is o(l(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -86, -179, -330, -557, -878?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 68 = 56 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 177744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -281*f**2 - 157*f**2 - 65*f**2 to b*f**2 + l*f + w and give b.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - ((sqrt(171) - -1*sqrt(171))*6 + sqrt(171)) - (sqrt(171) - (sqrt(171) + 2*sqrt(171)*-4)))\/(-3*(sqrt(81) + sqrt(9))*-4).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -722961*p**4*z**2 - 2*p**2*z - p**2 + 16*p*z**2 - p*z - 6782*p wrt p?\nAnswer: -8675532*p**2*z**2 - 4*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(500) + -3)**2 + 1 + (sqrt(500) + 2*sqrt(500)*-6 + sqrt(500))**2*3.\nAnswer: 20*sqrt(5) + 150502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 4*z**3 - 8*z**2 - 62*z + 213. Give l(5).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of 67*s**5\/10 + 19*s**4\/12 - s + 20. What is the third derivative of i(p) wrt p?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.23 + 0.23. Which is the third smallest value?  (a) 1.1  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7924\/605 + 4\/605. Let q = -1828\/143 - u. Factor 0*f**2 + 2\/13*f**4 + q*f - 2\/13 - 4\/13*f**3.\nAnswer: 2*(f - 1)**3*(f + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 25*r + 121. Let t be v(-5). Solve 2*f + 17 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 53*u**2 + 242*u + 65. What is the remainder when h(48) is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 10*d**2 - 11*d - 5. What is i(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -9*s**3 - 5*s**2 - 5*s - 12. Let o(t) = 5*t**3 + 3*t**2 + 3*t + 6. Let v(w) = 5*o(w) + 3*z(w). Differentiate v(r) wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from fsssllgfusssgafslf.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 8. Suppose -t = -o*h + 16, 2*h + 3*h - 22 = -3*t. Solve 0 = -4*f + 3 + h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64891?\nAnswer: 64891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 728 divided by -182.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**2\/8 - 1845*c\/2 + 999843\/2 = 0 for c.\nAnswer: 806, 1654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u - 78 = -5*i, 4*u - 47*i + 18*i + 31*i = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**7\/30 + f**5\/20 - 49*f**4\/6 + 9*f**2 + f. What is the second derivative of d(o) wrt o?\nAnswer: 84*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.5  (b) 2\/13  (c) 914  (d) 0.4  (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of -13\/15*i**3 + 13\/50*i**5 + 22\/5*i**2 - 7\/10*i**4 - 1\/75*i**6 + 0 - 16*i. Suppose u(s) = 0. Calculate s.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -412 - -630. Let n(m) = -m**3 - 13*m**2 - 38*m - 135. Let d be n(-8). Let q = d + r. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34022.\nAnswer: 2, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 5, -2\/9, 1.92?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.81 + 5?\nAnswer: 3.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (16\/15048)\/(4\/92*-1) and -71\/171?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56016378 to the power of 1\/2, to the nearest integer?\nAnswer: 7484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 671148 divided by -724.\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3 + (4 - 2 + 4)*(3 - 4 + 2))*(4*f**2 - 2*f**3 - 4*f**2).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 11:48 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-30)\/(-9) + (-2)\/(-3). Let b be -2 + ((-8)\/(-14))\/(32\/112). Suppose l = -l + 4*r + 1974, b = -5*l + a*r + 4947. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 + 12*h**2 - 8*h - 15. Is g(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/66 and 38\/248601.\nAnswer: 5469222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -98 + (-7 - -1 - -3) + (-4201 - -4186) - -7?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.8  (b) 115  (c) -0.008  (d) 1  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.95 + 0.05. Let r = 8.4 + -1.4. Let h = 7.1 - r. Which is the smallest value?  (a) 1\/6  (b) t  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -6*c**2\/7 - 94*c\/7 - 60\/7 = 0.\nAnswer: -15, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -2 + -3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3819*g**2 + 3825*g**2 + 293*g - 848*g + 265*g + 290*g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 8*x - 22. Let c be j(4). Let w be (-10 - -6)*(c\/(-8))\/(-5). What is the tens digit of (-8 + (-190)\/(-25))*(w + -64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 20 = 0, 5*h - 140 = 2*g - 7*g. Let y = 533 - 293. Suppose -3*k + 0*k = -y. Calculate the greatest common divisor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 6, h: 1, q: 2, x: 5, t: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-9)\/6)\/((1320\/22)\/(-10)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 6, t: 1, s: 4}. Give prob of sequence sts.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -78889007.9 to the nearest 1000000.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-250)\/9 + (-8)\/36. Let p be (-4)\/(-6) + w\/33. What is the smallest value in 2\/7, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*h*k**2*r + 67*h*k**2 - 60676*h*k*r - 2*h*r - h - 2*k**2*r + 6*k**2 - k*r wrt k?\nAnswer: 24*h*r + 134*h - 4*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s - 200 = -21*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*i + 27. Suppose 4*g = -g + 15. Suppose -f - 2*z = -0*z - 6, 4*f - g*z = 57. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 39 = -60. What is the greatest common factor of z and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 921670811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 260*h + 85. Calculate the least common multiple of c(2) and 22.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of ((-5)\/(10\/(-88)))\/(14\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 5, -4, -19, -40, -67?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6139899 - -3139899. Round u to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2\/4 - 1225*x\/4 - 10539\/2.\nAnswer: -(x + 18)*(3*x + 1171)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**3\/6 + 19*m**2. Let h(k) = -3 - 4 + 2 + 8 + k. What is -h(y) + 4*u(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 7 = f, -2*f + 53*r + 14 = 56*r. Solve 18 = f*i - 25*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17040 and 6092155.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4337520 to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -231, -363, -495?\n\"Answer: -132*t - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gdgfdfgnfd. What is prob of picking 3 f and 1 n?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1234481.\nAnswer: 773, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-11))**49 assuming n is positive.\nAnswer: n**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i**2 + 11*i**2 - 3*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6070, 6596, 7122, 7648?\n\"Answer: 526*k + 5544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 + -36. Suppose -59 = s*w - 74. Solve -w*h + 3*c = 0, -c - 4*c = 2*h + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6001 divided by 17\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3129535 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/4 of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 - -3 - (-6 - -18)\/(-4). Solve 3*v + 7 = -d + k*v, -4*d + 4*v = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -193468 at most as big as -193462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 398146.\nAnswer: 2, 7, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 16*a**2 + 5*a - 97. Give f(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -5579000 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/16 or 14\/27?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 12 - 4)*(2*y**3 - 5*y**3 + 6*y + 5*y**3).\nAnswer: 32*y**3 + 96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 3728116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (9 + 2148)\/(18\/24).\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + k**2 + k + 35. Give t(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -9. Suppose d*m = 37 + 19. What is the smallest common multiple of 10 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4855312 and 30456048.\nAnswer: 335016528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4922379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-36)\/60 - 2\/5. Let a = m - -17. Let n(w) = 19*w**3 - 3*w + 20. Let c(u) = -94*u**3 + 16*u - 100. Let k(q) = a*n(q) + 3*c(q). Differentiate k(f) wrt f.\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -51, 0.7, 0.033, 2\/3, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/5*(-195)\/26 - (-155449)\/(-25760) and -93\/40.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 3:59 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (100\/8050)\/(163\/1141)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1245588274 + 1245588274 - 3578*k + (-3 - 2 + 6)*(-k + 0*k + 3*k) + 0*k + 4*k - 2*k + 2*k - 6*k + 2*k.\nAnswer: -3576*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 10 - (-6 + -12 + -4 + 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 2:50 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55005503?\nAnswer: 7, 1811, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i**4 + 1120*i**3 - 33288*i**2 + 161728*i + 1783340 = 0 for i.\nAnswer: -5, 19, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 4*z = 65083 + 88681, -4 = z. Is b a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or -391\/7?\nAnswer: -391\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1))**(14\/9)*z**8*(z\/(z**(1\/8)*z))\/z)**(-39) assuming z is positive.\nAnswer: z**(-4979\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hyyhyvvyvvvvhvyyyyy. Give prob of picking 2 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 20 = -4*g, 4*g = m + 2*g - 4. Suppose -m = 2*y + 6. Let j = 14 + y. Is j at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2240*d + 5940 = 2267*d. What is the remainder when 934 is divided by d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13\/63 - -2\/9. Which is the third smallest value?  (a) s  (b) 2  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001149409 to seven decimal places.\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58 + 63. Let x be 70\/8 - 1\/(-4). Suppose 0 = 3*l - u*m - 20 - x, -8 = 2*m. Solve -l*c = -c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1044 - -1590. Solve 38*o + 40*o = -a for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/6, 330\/31, -5, -0.01?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*x + 35 = -4*r, 2*r + 22 = 4*x. Sort 2, x, -12, -4 in descending order.\nAnswer: x, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 3*c - 30. Let u be q(-5). What is the highest common divisor of u and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, -1, -5, -1.3, -0.3.\nAnswer: -5, -1.3, -1, -4\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -35*f**3 + 15900*f**2 + 75785*f - 22950 = 0.\nAnswer: -5, 2\/7, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 + 17*w + 198. What is c(25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 17, m: 3}. What is prob of sequence zzmz?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1270630 divided by 1?\nAnswer: -1270630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000042 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/26 in 2, 3, 2992\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -226*p + 960 + 881 = -8555 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m + 64. Let i be l(32). Suppose 4*s - 7 = 2*z + z, -4*z + 4*s - 4 = i. Solve -3*x + t = -z*t + 26, -x = t - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6*(-7)\/((-63)\/(-2)))\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18905070.\nAnswer: 2, 3, 5, 630169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/6 + 16 + -14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from emyymymmeyy. What is prob of picking 1 y, 1 m, and 2 e?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 3*m - 107. What is v(43)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.0431*0.011.\nAnswer: 0.0334741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 321 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -n**6\/360 + n**5\/60 - n**4\/8 - 4*n**2. Let l(a) be the second derivative of x(a). What is the tens digit of l(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -10, -9\/4, -5, -6, 3.\nAnswer: -10, -6, -5, -9\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2\/7  (c) -13770816\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.1907 and 0.009?\nAnswer: 0.0377163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 53*o + 172. Determine m(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of 122*x**4 - 95*x**3\/3 - 21*x**2\/2 + x + 11808. Find the third derivative of s(y) wrt y.\nAnswer: 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eezsvpeivizvvvee. What is prob of picking 1 i and 1 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3955812 and 18396?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/((-49)\/6)*(-65 - 33). Solve -l*m - 15 = -79*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 1236367871024.\nAnswer: 1236367871024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 191 = 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/2)*i**(-1)*i*(i\/(i**(2\/31)*i))\/(i\/i**20))**(23\/2) assuming i is positive.\nAnswer: i**(26289\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhih when four letters picked without replacement from {v: 1, h: 11, i: 1}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -15, 2640*u = 2636*u + 3*l - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, m: 2, i: 13}. Give prob of picking 1 i, 1 m, and 1 q.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o + 1. Let t(g) be the third derivative of g**4\/4 + g**3\/3 - 3*g**2. Let a = 13 - 18. Determine a*t(r) + 8*h(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3699 + -25915\/7. Find the common denominator of f and -143\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -0.033  (b) 1\/4  (c) -0.03  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 3*b - 2*b)*(-3341*b**3 + 1398*b**3 + 1698*b**3)*(-3*b - 2*b + b).\nAnswer: -980*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2420*c + 11315. Give l(-5).\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1245 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y. Let o(l) = -3*l**2 + 16*l - 9. Let k be o(6). Let m be 4\/(-7)*k\/6. Let b(p) = 3*p - m*p - 2*p + 0*p. Calculate d(b(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = -0*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -11 - (6 + 4 + 3 + -24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 14*o**2 + 7*o + 80. Let x be h(13). Suppose -3*c - 7*y = -8*y, 0 = -x*c - 2*y + 8. Is c bigger than 390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of l**3\/3 + 11*l**2\/2 + 21*l - 1. Let j(a) = -13*a**2 + 90*a + 103. Let f be j(8). List the prime factors of d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-40)\/(-6))\/((-118)\/(-177)). Calculate the smallest common multiple of -1 + -3 + g - -19 and 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -396\/7 + 102\/7*t + 16\/7*t**2 - 2\/7*t**3 = 0. Calculate t.\nAnswer: -6, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 25*n + 179. Let c be h(-7). Suppose 0*y + 20 = -5*y, 0 = c*i - 3*y - 1468. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(3 - 0)*8. Let t(l) = -4*l + 10. Let m be t(f). Suppose u = 3*g - 52, -2*g - 4*u + u = -m. Calculate the remainder when 34 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 235763 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -436*l - 6 + 10 - 8.\nAnswer: -436*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*(-19)\/(-28) - 3\/21. Let g = -15\/59 + 257\/1475. Let p = 594 - 1189\/2. What is the closest to p in g, r, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -800779*x + 800794*x + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -226*s - 113*s**4 + 167*s - 2*s**2 + 6*s**2 wrt s.\nAnswer: -2712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 2\/15  (c) -1\/2  (d) 1.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 12:40 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.16883ml?\nAnswer: 0.00016883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + a - 11*a)*(-4 - a + 4)*((3 - a - 3)*(-3*a + 3*a - a) + 1 - 1 + 2*a**2 - 3*a**2 - 2*a**2 + 6*a**2).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 925 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -267*q - 505*q + 20842 - 20449 = -41295 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 11979720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6685 and 350.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of -v**8\/84 + 17*v**4\/24 + 18*v**2. What is the second derivative of y(s) wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 84 - 246. Suppose 3*j + q = 6*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -27. Let r = 36 - j. Let b(y) = -y**2 + 14*y - 4. Let a be b(r). Solve -2*d = 3*d + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -5*m**3\/3 + 135*m**2\/2 + 140*m - 28. Find u, given that d(u) = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3 - 6 = 3*f, 4*m + f = -1. Let q = 4 - m. Suppose j + h - 83 = -3*j, -3*h = 4*j - 89. What is the highest common factor of j and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 218 divide 242570126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30841.9999933602 - 30842. Round b to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4 + 57*d - 110*d + 2*d**3 + 55*d - d**3. Give p(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/504 and 31\/2688.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 - -28. Let f(n) = n**3 + 2*n - 2. Let v(y) = 3*y**3 - y**2 + 9*y - 8. Calculate z*v(m) - 9*f(m).\nAnswer: -3*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/5 + 18976153\/(-3330). Let g = -5697 - m. Calculate the common denominator of -25\/4 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-22\/3)\/w**(2\/3))\/(w\/(w*((w*w**(-2\/35))\/w)\/w))**10 assuming w is positive.\nAnswer: w**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 + 0.9. Let o = -6 - -11. Which is the nearest to 0?  (a) o  (b) -2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148672 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: Four letters picked without replacement from {h: 1, a: 4, v: 3, q: 1, p: 1, j: 2}. Give prob of sequence aqhp.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*g - 27*g - 3*i = 10, 4*i + 17 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82.59 + -82.99. Sort 4\/5, -5\/4, 4, t, 18\/11 in ascending order.\nAnswer: -5\/4, t, 4\/5, 18\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-5*(1 + sqrt(76) - sqrt(76)) - (-2 + sqrt(76) + 0))**2 + (1*sqrt(76)*-6 - sqrt(76) - -4*-1*sqrt(76))**2)*-6.\nAnswer: -55689 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 78*u + 171772 - 45880. Let v = 1616 + u. Find x such that -99\/4*x**v - 39\/4*x**3 - 3\/4*x**4 - 15\/2 - 93\/4*x = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/850 and -42\/28645.\nAnswer: 286450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4\/2547 - -869\/12735. What is the fourth smallest value in -1, -0.1, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 7*y**2 - 13074*y - 104594. Give o(-8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5680, -11355, -17026, -22693, -28356, -34015?\nAnswer: -39670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(8\/7)\/q))**(2\/17)*q**17*q**(4\/5) assuming q is positive.\nAnswer: q**(10651\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 11:06 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/43, 0.062, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 67*m - 29. Let n be i(-34). Let y = 13 - 19. Let b be 2\/(-6) + (-122)\/y. Calculate the highest common factor of b and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**3 + 985*c**2 + 7595*c + 6615.\nAnswer: 5*(c + 1)*(c + 7)*(c + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 1304 = -4*n, -5*n + 10 = -0. Let j be 22*6\/(-4)*7. Let p = j + g. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1127438898, 1127438899, 1127438900?\n\"Answer: x + 1127438897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (66\/33)\/((-51)\/(-3)*-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1634 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 8:06 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 + 53. Let q = -1635.6 + 1608. Let j = z + q. What is the nearest to -1 in j, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + (-14 - (3 + -7 + 2 + -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*o**2 + 110*o - 110*o + 90 - 90.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*l - 0. Suppose s = 5*p - 23, 5*p - 2*p - 2*s = 11. Which is the nearest to -2\/3?  (a) l  (b) -2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1920 = -b - 4*b. Let z = -248 - b. Let m = z + -72. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 735 and 5801943?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.14 times -128\nAnswer: 17.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -0.9150528\nAnswer: -10.9806336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16843960\/17 - -610103911\/612. Let v = -36505\/6 + l. What is the common denominator of v and -25\/39?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 34.2. Let g = 3 - j. Let b = 1.2158 + g. What is b rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 8*o + 3. Let b = 210 - 132. Let y be 2*(b\/(-12) + 4). Let z(x) = -4*x - 2. Calculate y*z(n) - 3*f(n).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 2:59 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1 + -4 + (-5 + sqrt(720))**2 - (4*(5 + sqrt(720)) + 1)**2)*4.\nAnswer: -44885 - 8544*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 11) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 + 141. What is the highest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-8)*-9*(-156)\/1287.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i*s*t - 10*i*t**3 + 20*i*t**2 - 6*s**2*t**3 + 3*s**2 - 2*t**4 wrt t?\nAnswer: -60*i - 36*s**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 305732 - 186591. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3*q + 363 = -3*c, -5*c + 2*q = 601. Let i = c - -121. Solve -i*v + 5 = -0*r - 3*r, -5*v = -5*r - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11595 by -5.\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 32842881 and 453640?\nAnswer: 32389241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -157*v**2. Let c(p) = 4*p**2. Determine n(c(x)).\nAnswer: -2512*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -9*q**2 - 10*q - 9. Let i(o) = -19*o**2 - 19*o - 22. Give 2*i(y) - 5*z(y).\nAnswer: 7*y**2 + 12*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20276?\nAnswer: 2, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 10 = -25. Let o be (21\/r - -1)\/(-2). Solve 25 = -8*k + o*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28252 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2157 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1828, -1683, -1432, -1069, -588, 17, 752?\n\"Answer: x**3 + 47*x**2 - 3*x - 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2232205\/76 + -29370. What is the common denominator of -109\/22 and o?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 13*f**2 + 10*f. Let l(r) = 11*r**2 + 8*r. Let i(v) = 4*g(v) - 5*l(v). Let m(u) = -517*u. Give i(m(s)).\nAnswer: -801867*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -1. Suppose 5*q = 2*v + 17, i = -2*v + 4*v - 2*q + 2. Suppose 43 = v*m + j, -3*m - 2*j + 0*j = -31. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1858422, -1858386, -1858348, -1858308?\n\"Answer: s**2 + 33*s - 1858456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -t**5\/20 + 5*t**4\/4 - 13*t**3\/3 + 2*t**2 + 574*t. Determine s(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -629262 - -16?\nAnswer: -629247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 25031.\nAnswer: 13\/25031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-7)\/(-6))\/7 + 6415\/30. Suppose 5*h - k - 781 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9970 = -34*y - 862*y + 4423 + 24135 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13992 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/26 + 123\/(-39). Suppose 2*d + d = 3. Sort c, -4, d in increasing order.\nAnswer: -4, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 455 divide 83337787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-240)\/100 + 2\/1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2052 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - b + 2. Let u be r(0). Suppose u*w = -0*w + 6. Suppose -w*t = -4*t + 7. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 23*h**2 + 5*h - 2. Let x(l) = -35*l**2 - 8*l + 3. Let k(d) = 115*d + 123. Let p be k(-1). Give p*j(s) + 5*x(s).\nAnswer: 9*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3973 (base 10) to base 12.\nAnswer: -2371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -30*a - 11. Let y(d) = -2*d. Determine y(t(w)).\nAnswer: 60*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(200) + 4 + 1*sqrt(200) + sqrt(200) - (-2*sqrt(200)*-3 - sqrt(200))) + 3)**2 + 0.\nAnswer: -360*sqrt(2) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from zwwwwwzwwwww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 50 and 0.4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -630372 divided by 4?\nAnswer: -157593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 308*v**4 - 866*v wrt v.\nAnswer: 3696*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.484026509 to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v. Let n be m(-1). Let y(l) = 13*l - 166. Let p be y(13). Which is the closest to 0.1?  (a) n  (b) 1\/2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -98 + 102. What is the second biggest value in z, 6, -2\/3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -11) + 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 26 = -0*x + x, -62904 + 62943 = 5*k + 4*x for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c\/c**(1\/9))*c*c**(1\/3)*(c\/c**7)\/c*c\/(c*c\/c**3) assuming c is positive.\nAnswer: c**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -60 + 182. Let n = -119 + s. Factor 3\/2*l + 0 - n*l**2.\nAnswer: -3*l*(2*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/108 + (-395)\/135. Let b be 6 + 152\/(-16) - (c - 0). What is the smallest value in 0.2, 3, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 1868 = -1219. Let b = h - 191. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*c - 50 = 0. Suppose -c = 5*u - 3*u. Let a = -14 - u. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308248217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27356.\nAnswer: 2, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s - 8. Let d = 6 + -18. Let g = 30 + d. Calculate the remainder when g is divided by w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d*v**2 - 54*d*v + 752*d - 47*v**2 + v - 123 with respect to v.\nAnswer: 2*d*v - 54*d - 94*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12946?\nAnswer: 2, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 134 and 102175.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-2\/11))**33*(w\/w**(-19))**(-10) assuming w is positive.\nAnswer: w**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0*(-2)\/4)\/(-2). Let k(p) = q*p + p**2 - 2*p + 3*p - 3*p. Let s be k(3). Solve 4*u + 4 = s*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 2*c**4 + 82*c**3 - 32*c**2 - 1312*c = 0.\nAnswer: -41, -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 4 = -3*s - 0, 5*s - 1 = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, q: 1, t: 2, a: 1}. Give prob of picking 1 q and 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/157164 and 107\/2593206?\nAnswer: 5186412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*k**2 - 338972*k + 61632 = 0. Calculate k.\nAnswer: -15408, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 82 + -903\/11. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*w + 36 - 36. Suppose 0 = 8*s - w*s - 8. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -905 = -w + 3*z, 16*w - z - 3664 = 12*w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-4\/11)\/k**(3\/4) assuming k is positive.\nAnswer: k**(-49\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 2*s + 6. Let h be n(0). What is the highest common factor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 + 6*b - 4. Let p be j(4). Suppose 1 = -u - p, -2*o = 4*u + 1140020. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.805501 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b = 2266*g - 2265*g + 19, 0 = 4*g - g + 3*b + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(3520)\/sqrt(11)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + 4 = 4. Let n(z) = -z - 13. Calculate n(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16747*b - 72*b**2 + 1 - 1 - 16750*b.\nAnswer: -72*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**4 + n**4 + 0*n**4)*(1 - 1 + 2)*(-2588 - 1392 + 1208).\nAnswer: -11088*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, -4, 2, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-180)*5*(3 - 1)*-57.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 5*d - 21 = 0, 2*f - 5*d = -2*d - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ac7 (base 14) to base 3.\nAnswer: -2221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 368797535  (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of q**2*t - 26365*q**2 - 9530*q*t wrt q?\nAnswer: 2*t - 52730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -217 (base 10) to base 2\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 10) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4305, 6 in descending order.\nAnswer: 4305, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39764, 39767, 39776, 39797, 39836, 39899, 39992, 40121?\nAnswer: 40292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1277325?\nAnswer: 3, 5, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 317 is divided by 146.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 PM and 9:17 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16*-2*4\/(-4). Let u be f\/(-14) + (-4)\/(-14). Let l(x) = 2*x**2 + 3*x. What is the units digit of l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 29*o + 3*o**2 + 29*o + 3 + 0 - 54*o. Let a(p) be the third derivative of p**5\/60 + p**3\/6 - 32*p**2. What is -2*a(d) + n(d)?\nAnswer: d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-66)\/88)\/(2*(-30)\/32).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 3*a - 1. Let u be c(-1). Is u equal to -2\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1153 = -233*g + 496 + 2545 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4194528 divided by 2.\nAnswer: -2097264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3187987 is divided by 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -17896826.95 and -27.5204.\nAnswer: -17896854.4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 10 = r. Suppose -24*b - 64*b = -176. Solve z = 4*y - 8*y + 10, -r*y + 8 = b*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*a**3 - 14*a**3 + 36*a**3.\nAnswer: 64*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 7, -4, -1 in descending order.\nAnswer: 7, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -7 - -4) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 8:15 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**(-3))**(-3\/8)*o\/o**(-30)*o**(-2\/55) assuming o is positive.\nAnswer: o**(12799\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 43035303 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 16 = 44. Let z be k + (1 - (3 + -2)). Suppose -9 - z = -2*l. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 5*u**2. Let d(c) = 902820*c**2 + 3280. Let m(q) = -826*q**2 - 3. Let k(z) = 3*d(z) + 3280*m(z). Calculate k(i(s)).\nAnswer: -20500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4*c + 62. Let l be t(0). Let n = 103 + l. Which is bigger: 164 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 765 + -515. Suppose -14*y = -30 - f. Let i be 9\/15 + (-4 - (-388)\/y). What is the highest common divisor of i and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1738710040 rounded to the nearest one hundred thousand?\nAnswer: 1738700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -13302203033 (base 4) to base 13\nAnswer: -56662a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*m - 52086 = -373359. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -0.1. Let v = -1.8 - -2.1. Let y = -0.05 - -0.45. What is the nearest to o in 5\/3, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3379.3 + 10935. What is o rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 15. Let c be v(0). Let g = 17 + c. Solve 0*o = -g*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - p - 4*o + 17, -o + 8 = p. Let l(v) = -37 + 37 + v - p*v. Let a(w) = w**2. Give l(a(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + 0\/((-5)\/(-5)). Let q = j - -10. Suppose 2*r = 4*r + 5*c - 58, -3*c + 27 = r. Calculate the remainder when r is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 6*f**2 + 3*f + 15. Let y be (-260)\/45 + (-16)\/72. Determine q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 343056 and 5078454?\nAnswer: 6126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38118?\nAnswer: 2, 3, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*n**2 - 11*n + 11*n + n**2 + 3*n**2 - 7*n**2 + (3*n - n + 0*n)*(-n - 1 + 1) to the form o*n + f + l*n**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7571 - 7541. Calculate the remainder when 330 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 48316 - 2?\nAnswer: 48314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 6*n + 48 = 0. Let t = -9 - n. Suppose 4*z - 28 = -5*s, t*z = s + s - 2. Solve -o = -s*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.1 plus -76.235367?\nAnswer: 14.864633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 - 1 + (-3 + 4 - 12)*(-4 - 1 - 5) + 1 + 0 - 2)*(-20*p + 1 - 1) as x + h*p and give h.\nAnswer: -2140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90, 131, 182, 249, 338, 455?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 92767.71g?\nAnswer: 0.09276771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 453155 + -21?\nAnswer: 453134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*-5*(-321)\/535?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (396\/440*16\/612)\/(((-9)\/15)\/(-3))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103660766 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5978, -5967, -5950, -5927?\nAnswer: -5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b - 10 = -10*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 10414?\nAnswer: 10414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 90 - 3. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 17, 70, 123, 176?\n\"Answer: 53*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/51)\/((2\/(-9))\/(10\/15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.4614278 and 5?\nAnswer: -37.307139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -693\/4 + 173. What is the closest to 2\/9 in -4, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 602844583?\nAnswer: 11, 54804053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.19 + -0.39. Let m = q + -0.8. Let x = 1.3 - 0.8. Which is the third smallest value?  (a) x  (b) m  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**2\/4 + 21*t\/2 + 377\/4 = 0.\nAnswer: -29, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**4 + 2*y**3 + 11*y**2. Let w(n) = 5*n**4 - 9*n**3 - 45*n**2. Let k(z) = -9*v(z) - 2*w(z). What is the third derivative of k(l) wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*m - x + 8, 4*x = -2*m - 20. Let u be (-7)\/6 + (-2)\/m. Let q = -74\/5 + 72\/5. Which is the third biggest value?  (a) u  (b) q  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, -2, -1, -6, -2\/213?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1507 is divided by 190?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4*q - 51 = 0, -3*m + 0*q - 32 = q. Let n(l) = -5*l + 7. List the prime factors of n(m).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 2. Let o = 0.44 + -0.5. Let b = -0.26 - o. What is the smallest value in 1\/2, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/3 + -309 - 0. Suppose -i + 0*i - 169 = -3*p, 4*i = 5*p - 704. Let g = i - w. What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41, 51, 63, 77, 93, 111, 131?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 660366.\nAnswer: 7264026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**2 - 2*p**2 - 15471*p - 123 + 15466*p - 3*p**2 to the form d*p + f*p**2 + u and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -232820 + 0.\nAnswer: -232820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o. Let z(v) = 6*v + 3. Let p(g) = 5*u(g) - z(g). Let l be p(-7). Suppose -l*x = -5*d - 64, -2*x = -4*x - d + 18. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from waeagngarwwgergarene. Give prob of sequence wewr.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 3:14 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -35 (base 7) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from junjnunu. What is prob of sequence nujj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14033, -13692, -13333, -12956, -12561, -12148, -11717?\n\"Answer: 9*g**2 + 314*g - 14356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -269 - -281. Suppose -2*z = -6*z. Solve -3*l + 6*l + q = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-883*k**3 - 1012*k**3 + 2442*k**3)*(2*k + 2 - k + 0).\nAnswer: 547*k**4 + 1094*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a + 5 = -187. Which is bigger: a or -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 423*n**6 - 3*n**2 - n**2 - 417*n**6 wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -1 + 1 + 2*c - 3*c + 9. Let v be a(5). Suppose -4*u + 20 = v. What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*c + 2537 - 2155, 2*c + 2*m = 378. Solve -c*v + 187*v = -14 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**4 - 2*k**3 - 3*k**2 = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2236279 + 3574027. Let r = -466748 + q. What is r rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (18 - (-399)\/(-18)) + (3 - -1). What is the closest to 2\/5 in 2, 0.5, -64, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 10, h: 4}. Give prob of sequence hhh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 9:32 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of 0*k + 198 - 56*k**3 - 1176*k**2 - 3\/4*k**4. Factor t(x).\nAnswer: -3*x*(x + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*n - 15 = 12*n. Suppose -2*i = -0*i - 4*x + 100, -5*i - n*x = 280. What is i rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -17*v - 99. Let l be 4*(9 + v + -4). Solve 20 = 8*g - l*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - m + 1. Let c be f(0). Suppose -c = v - 9. Solve -2*d + v = -0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.3089 + 2.7089. Which is the second smallest value?  (a) 3  (b) m  (c) -0.118  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a - 4*a - a + (2 + 3 - 6)*(27*a + 28*a + 2*a).\nAnswer: -62*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2284512 divided by -6\nAnswer: 380752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - ((0 - -2) + -20). Suppose b = 5*k - 4. Suppose 0 = k*w - 0*w - 200. Calculate the highest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3309318 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 8881.\nAnswer: -3\/8881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-1 + (-12)\/(-4)). List the prime factors of 114\/(-1)*g\/(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r**2 - 25*r - 35. What is q(-14)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -695\/2?  (a) -0.1  (b) 3  (c) 726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000015454 rounded to seven dps?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 8 = -0*h + 4*m, 4*h - 17 = -3*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + a + 0 + (a + 0*a - 3*a)*(1 - 3 + 0) + 2*a - 2*a + 2*a + (1869*a - 3447*a + 2828*a)*(6 - 4 - 1) + (2 - 1 - 3)*(4*a - 6*a + a).\nAnswer: 1259*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u - 41. Calculate f(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -53*v**2\/4 - 741*v\/2 + 14.\nAnswer: -(v + 28)*(53*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*a + 9*a**2 - 8*a**2 + 8*a**3 - a to the form t + g*a + m*a**2 + u*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 - 27. Solve a - p*a = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -9. Let k be p\/((-3 - 7)\/(-5)). Suppose k = -0*n - 3*n - 51. Put -3, n, 5, -4 in increasing order.\nAnswer: n, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 138640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 16) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 103179 and 12225?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 93313 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -5*q**5 - 35*q**4 + 95*q**3 + 35*q**2 - 90*q = 0.\nAnswer: -9, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 1\/7  (b) -0.2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -329 - -403. Suppose -o*l = -81*l + 70. Solve -3*m + l = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*p - 15682 - 21190 - 14248. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3137 = 4203. Let l = i - -146711\/20. Let k = 1269\/2 - 609. Find the common denominator of l and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 + 14.2. Let j = b + -6. Let s = j + -3. Sort 0.2, s, 3.\nAnswer: 0.2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 1. Let r(u) = 3*u**2 - 2*u + 8. Let g = -557 + 558. Calculate g*r(h) - 6*x(h).\nAnswer: -3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p - 6*p + 5*p)*(0*p + 2*p - 5*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 14, -44, -5, 7259 in decreasing order.\nAnswer: 7259, 14, 5, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132183?\nAnswer: 3, 19, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1)**(1\/12)*o**(3\/4)*o**(4\/9) assuming o is positive.\nAnswer: o**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82269416.\nAnswer: 2, 10283677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 4*j - 5*w, 3*j - 5*w + 110 = 7*j. Let o(x) = 26 - 2*x + 3*x**2 - j + 4*x**2. Give o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/6 + 1)*26. Let v(a) = a**3 - 6*a**2 - 7*a. Let y be v(7). Sort o, y, 1.\nAnswer: y, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**4 - r**4 - 12*r**4)*(12 - 11 - 6) - r**4 + 0*r**3 + 0*r**3 - 3*r**2 + r**4 + 3*r**2.\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1759 - 11330.\nAnswer: -13089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1785*i**2*r**3 + 14*i**2 + 44*r**2 wrt r.\nAnswer: -10710*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6187 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1721 = -134*c - 11101 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of a**5\/20 - 8*a. Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -22, -50, -80, -112, -146, -182, -220?\n\"Answer: -k**2 - 25*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -78*i - 21*i - 4*i**2 + 99*i. Let n(x) = -x - 4. Determine n(f(g)).\nAnswer: 4*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/156510 and -65\/93906?\nAnswer: 469530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 1\/10  (c) 2  (d) -4\/5  (e) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127880, 127878, 127876, 127874, 127872?\nAnswer: 127870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, l: 2, f: 4, b: 2, h: 2}. What is prob of picking 2 l?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 5*l**2 - 8*l - 13. Let p be j(-4). Let z(t) be the second derivative of 0 - 10*t + 0*t**2 + 1\/6*t**4 + 1\/6*t**p. Calculate z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 12:17 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 6. Let s be d(8). Let q be s*3\/6*5. Suppose -22*x + 18*x + 16 = 0. Let u(z) = -6*z - 3. Let t(h) = -5*h - 2. Give q*t(r) + x*u(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -782*g - 15*g**2 - 1 + 2000*g - 610*g - 9*g**2 - 608*g.\nAnswer: -24*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1592.426 less than 0.5?\nAnswer: 1592.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of h**2*y**2 + 6554*h**2 + 518114*h*y**2 + 5*h + 150 wrt y?\nAnswer: 2*h**2*y + 1036228*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**3 - 3*v**2 + v + 2. Let k be (13 + -12)\/(1\/5). Let w(s) = s**3 - 5*s**2 - 3. Let h be w(k). Let n = h + 1. What is o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.07 and 7.91.\nAnswer: 0.5537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*j**2 - 1491*j + 178488 = 0. Calculate j.\nAnswer: 201, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*4\/(-3) + (-4992)\/(-336) + -19.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 4, -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u + 71 = 109. Let b(t) = -t - 3. Let y be b(-6). Suppose -5*m + 1 = u*w, -y*m + 8*m = -w - 2. Solve -q - w = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 28 = 3, 1 = l - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**2\/2 + 4*f + 3034 = 0 for f.\nAnswer: -74, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 9:36 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35906101435 - 0.5.\nAnswer: 35906101434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1222*i*y + 2*y - 594 wrt i.\nAnswer: -1222*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 4*v = -2540, 0 = 18*l - 17*l - v - 619. Calculate the greatest common divisor of l and 792.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12.887*-2.\nAnswer: 25.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t - 5*v - 61 = 108*t + 135 + 21, 0 = -5*t - 12*v - 46 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -12, -1, 16902, -5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 990 a factor of 144817460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**2. Let n(y) be the second derivative of y**6\/90 + 7*y**4\/12 - 6*y. Let d(r) be the third derivative of n(r). Give t(d(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -0 - 6, -h + p - 24 = 0. Let j(r) = 30 - 2*r**2 + 186*r - 163*r + 3*r**2. What is the remainder when j(h) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000642 rounded to 6 decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23909089 and 2924?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 6\/49  (c) 2\/5  (d) 6  (e) -1\/3  (f) -14.89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 606 - 537. Suppose 4*g = -z + 65. Let s(h) = h + 5. Calculate s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - o - 20, -5*o + 10*o - 26 = -4*f. Suppose i + f - 10 = 4*y, 4*i - 19 = y. Solve 5*k = i*l - l - 9, l + 4*k + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/21*(3 - 3). Suppose 4*p - 2*s = 61 - 17, o = p + s - 5. Solve 0 = 4*h - p*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5697 + -39881\/7. Let l = -4 + 7. Let t = 0.09 - -7.91. What is the nearest to -1 in b, t, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2196 + -2195.95329. Let b = p + -0.047. What is b rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39 - 11. Suppose x + 312 = 4*u. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12216 - -12222. Let z = 1\/38 + 47\/19. Which is the third biggest value?  (a) z  (b) k  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 108, 354, 600, 846, 1092, 1338?\n\"Answer: 246*p - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 17893005.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 151915 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 790836*h - 18189233. What is j(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 2*w**3\/5 - 224*w**2\/5 + 854*w\/5 + 216 = 0.\nAnswer: -1, 5, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - -30 - 3 - (-2435667)\/(-79781).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, a: 12, v: 4, d: 2}. What is prob of sequence aayd?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -5*b - s + 26, 4*b - s - 28 = 0. What is the lowest common multiple of (6 - 684\/42)\/(4\/(-14)) and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.1  (b) 0.2  (c) 7  (d) -209  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(1 - -1) - 16. What is the common denominator of (178\/(-30))\/(x\/15) and 89\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -7*q**2. Let a(g) = -7*g. Let t(b) = b - 6*b + 11*b. Let i(x) = -3*a(x) - 4*t(x). What is l(i(n))?\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 30*((-15)\/(-25))\/((198\/(-55))\/(-3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 8. Suppose 2 = z - w. Find the first derivative of 3*o**3 + 2*o**z - 3*o**3 - 2 wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, n: 2, l: 1, g: 3, s: 1}. Give prob of sequence ug.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10856 + -127?\nAnswer: -11084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (110\/(-10) - -24) + -21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2 - 2 + 0 + 1 + 1 + 2 - 4 + (4 - 4 + 1)*(1 - 1 + 2) - 1 - 2 + 4)*(-9*c**2 - 6*c**3 - 5*c**3 + 10*c**2).\nAnswer: 11*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -631361\/225 + 674283\/50. Let x = -10677 + b. Find the common denominator of ((-66)\/10)\/((-16)\/5) and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74876783801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 + 10 + 5*q)*(122 + 227 - 279 + 218 + 153) in the form o*q + a and give o.\nAnswer: 2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**4\/3 + z**3\/3 - z**2\/2 + 3*z. What is the units digit of x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -277039, -554120, -831257, -1108450, -1385699, -1663004?\nAnswer: -1940365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bm when two letters picked without replacement from ibmkbkmokorb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/6)\/((-30)\/27 - -1). Suppose -g*s = u - 34 - 6, -u + 64 = -3*s. Suppose -11*n = -7*n - u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cic when three letters picked without replacement from {c: 3, i: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 1  (b) -79  (c) -9  (d) -1\/3  (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 61727*z. Let u(t) = -5001*t. Give j(u(k)).\nAnswer: -308696727*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 165 - -3?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153*n = -28*n + 724. Suppose 0*x - 3*x + 9 = 0. Sort n, -7, x in descending order.\nAnswer: n, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*d + 70*d = 128*d - 945 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2*3\/6*-21 and ((-24)\/42)\/((-6)\/69).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t**2 + 9 - 14 - 6*t - 4*t**2. Suppose -2*l = 2*l + 2*h - 96, -4*l + 3*h + 116 = 0. Suppose 5*u - m = -l, -3*m - 11 = 2*u - 4*m. What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5+-0.0601121516\nAnswer: -0.5601121516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2*h - 306, -t - 2*h = -5*t + 606. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1038 - -15.\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5, -42, -113, -224, -381, -590, -857?\n\"Answer: -j**3 - 11*j**2 + 3*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 275 * -12.\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 525.3 and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 6*m - 16. Let z be 45\/(-75) - (m\/15 + -3). Factor 0*b + 4\/11*b**z + 0 - 2\/11*b**3.\nAnswer: -2*b**2*(b - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/5 and -81\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5978778 divided by -1992926.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-61586)\/477 + -2 - (336\/441)\/(6\/7)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvnana. Give prob of picking 2 a and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/(-4))\/((-6)\/16). Let z = 82 + -80. What is the second derivative of -2*i - 11*i**2 + 11*i**z + i + i**s wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (54\/8)\/((-21)\/(-134120)) - 4. Suppose -125*y = -123*y - o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 438*i - 2793. What is the units digit of t(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 32125 - -5?\nAnswer: 32132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27457 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -15*r**2 - 7*r + 205. Let i(z) = -23*z**2 - 11*z + 307. Let g(a) = -5*i(a) + 8*n(a). Does 16 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -5 + 2*s - s**2 + 5*s + 5*s - 2*s. Let m be v(9). Suppose -4*x - 8 = -m*p, 0*x - 8 = -4*p + 2*x. Solve -i - 3 = -p*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 828*h + 134226 - 27609 = 5905*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000219278093 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2164 + -0.2.\nAnswer: -2164.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 67*f**4 + 379*f + 2. What is the derivative of n(g) wrt g?\nAnswer: 804*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.1 + 10.1. Let b = t + -8. What is the closest to b in 4, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a + 5*t + 30, -743*a + 3 - 7 = -744*a - 10*t - 1 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1202 + 111021010222?\nAnswer: 111021002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -7*r**4\/24 - 31*r**3\/2 - 83*r**2. Let g be s(-15). Let u = 2 + 6. Solve -g - u = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k + 3*k - 8251*k**3 - 8241*k**3 + 24722*k**3 - 8252*k**3.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 296, 50, -360, -934, -1672?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-3 - -6) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbi when three letters picked without replacement from wbbfwibiwibwiwbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6675?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/z**10)\/z)*z*(z\/((z*z**8)\/z))\/z*z*z)\/(((z*z**(1\/4))\/z)\/(z\/z**(2\/17))))**(-14) assuming z is positive.\nAnswer: z**(-3157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -62340 + 113974. Suppose -5*v + 13016 + p = 0. Round v to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7078436, -14156873, -21235312, -28313753, -35392196, -42470641, -49549088?\n\"Answer: -w**2 - 7078434*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 7 = 10. Solve -x*u - 4*s = -1, 3*s = 3*u - 15 - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 16.9. Which is the smallest value?  (a) n  (b) -0.14  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -213080 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-9))\/((-10)\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120221101112 (base 3) in base 12?\nAnswer: 1316a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 15*t - 11. Let u(d) = 3*d - 2. Let f(n) = -2*i(n) + 11*u(n). Let b(y) = -2*y**2 - 3*y. Let c(q) = q. Let j(r) = b(r) + 3*c(r). Calculate f(j(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6385500 divided by 5.\nAnswer: -1277100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k + 1. Let m be n(-2). Suppose -m*a + 54 = g - 3*g, g + 2*a = -20. Let u = 9 - g. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 15. Suppose -h*a - 1000 = -0*a. Calculate the common denominator of -22\/7 and a\/24 + (-4)\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-2) - (2 - 18). Suppose 489 = -5*h + 9*h + 3*f, -2*f + 242 = 2*h. Calculate the highest common divisor of h and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhdd when four letters picked without replacement from {d: 6, h: 13}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 934737.20737 - 934692.2. Let s = -45 + c. Round s to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5749 by 43721.\nAnswer: -5749\/43721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 divided by -32.\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*m = 2*d - 448, -452 = -5*d - 3*m. Let a be (-62)\/28*d\/(-60). Let r = 16\/5 - a. What is the biggest value in 1\/3, 1\/7, r, 1\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*a**3 + 14238560*a - 479194237 wrt a.\nAnswer: 36*a**2 + 14238560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-108)\/(-24) - (-4)\/(-8). Let t(d) be the first derivative of -1\/4*d**3 + o - d + d**2. Factor t(m).\nAnswer: -(m - 2)*(3*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 2)\/(22\/(-11)). Let z be (-4 + 1)*8\/(-12). Suppose 0 = -z*i - 3 + 13. Solve 0 = -i*p - t*p, c = p + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -750 <= -748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(99) + -2*sqrt(99))*4*4)\/((sqrt(180)\/sqrt(4))\/sqrt(5) + (sqrt(135)\/sqrt(3))\/sqrt(5)).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000610105 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -4974, -310 in increasing order.\nAnswer: -4974, -310, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9568*m**3 + 428*m - 6 wrt m?\nAnswer: 57408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 24. Let i = 46 - g. Calculate the remainder when 39 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from moabaaasoaaaajsbbaa. Give prob of picking 2 s, 1 j, and 1 b.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9941229 + -5?\nAnswer: 9941224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 163469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 4142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 67 and 7?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136992 is divided by 5484?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 55*v**5 + 132*v**5 + 105*v**5 + (3 - 2 + 1)*(0*v**5 + v**5 - 3*v**5).\nAnswer: 288*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**3\/3 - c**2 - 3*c + 1. Suppose 25 = -s + 5*s + l, -4*l = -4*s. What are the prime factors of o(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 4*v + 25. Let z be o(7). Suppose 5*p = z*s + 2*p - 945, -709 = -3*s + 2*p. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15639217 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 1192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 5*f**2 - 316*f - 12750. Determine z(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*r - 67*r + 40740 = 120*r. Let o = -3 + 1. Sort r, o, 4 in increasing order.\nAnswer: o, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33805 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a hour in seconds?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 + 6. Let n = h - 63. What is the biggest value in -1\/2, -0.07, n?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63014 and 3270298?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-440)\/264*(-6)\/3)\/((-2)\/(-15)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27248 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: Differentiate -149423*f*r**2 + f*r - 1862469*f + 2*r**2 + 3*r with respect to r.\nAnswer: -298846*f*r + f + 4*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 2:18 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 50111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 + 11 + 1 + -25 + 8 + 5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -325.4 + 329.4. Let y(h) = h**2 - 11*h + 12. Let u be y(8). Let t be 2\/u + 26\/(-60). What is the second biggest value in p, t, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, m: 5, j: 1, s: 6}. What is prob of sequence mj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -40036 times 5\nAnswer: -200180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-6*(sqrt(17) + (-2 + sqrt(17))**2*-3)*1.\nAnswer: -378 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 5*n - 33. Suppose -5*t - 4 = 1, 0 = -3*r + 2*t - 1. Sort 1, n, -4, r in decreasing order.\nAnswer: n, 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 368\/96 + 2\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*(-1 + 2*j**2 + 1 + (-j + 3*j + 0*j)*(-4 + 4 - 4*j)) to the form d + a*j**2 + b*j and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -15*b. Determine w(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 719\/986 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22 - -1101?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -5*n + 11, 22*n - 20*n - 5 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 4:17 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2789776, 2789663, 2789474, 2789209, 2788868, 2788451?\nAnswer: 2787958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmmq when four letters picked without replacement from {m: 17, q: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*b**4*k + 156070519*b**4 + 2*b**2*k - 645336338*b wrt b?\nAnswer: -96*b*k + 3745692456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2201 and -0.18.\nAnswer: 396.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akukuawuaauw. What is prob of sequence wu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 17 = 4*c, -89031*c + 89030*c - 13 = -0*z - 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and -2439 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*k**3*u**3 - 2616*k**3*u + 19*k**3 - 3796*k wrt u?\nAnswer: -24*k**3*u**2 - 2616*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 465530*-5\nAnswer: -2327650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + -1 - 122\/116. Let d = 143\/522 + n. Suppose -3*c = 4*z - 3, 2*c + 0 - 2 = 5*z. Is d at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 208827 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**3 + k**2 + k + 1. Let s be d(-1). Let z(i) = -23*i + 55*i - 33*i - 1. Let f(y) = 2*y + 2. Give s*z(v) + 2*f(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/56474 and 59\/29898.\nAnswer: 508266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -1310*d**4 + 14*d**2 + 27*d + 2233. Let b(q) = 2*q**4 + 2*q**2 + 3*q + 1. Let t(m) = -8*b(m) + s(m). Find the second derivative of t(y) wrt y.\nAnswer: -15912*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**3 - 17*u**2 + 6*u - 14. Determine g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48*d - 94*d + 52*d + 2*d**3 + 13*d**3 wrt d.\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 398298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4713 is divided by 432.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 927 + 864*a**2 - 290*a**2 - 286*a**2 - 290*a**2 + 287 in the form q*a + u*a**2 + k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**2 + 22*g - 3. Let w = 4 - 15. Let d be r(w). Let i(m) = -m**3 - 3*m**2 - 2*m - 2. Determine i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/(-4) + (-10)\/(-40). Solve 0*b = z*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y + 9 + 11 - y**2 + 1 - 16. Determine q(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 266 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7168 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -11259438.\nAnswer: 22518876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -501*(10\/(-6) + 2). Let s = c - -6. Is (-8)\/12 - s\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 8\/3, 0.04, 2\/9, 5, 382\/23, 5\/4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16200451\/108 + -150003. Find the common denominator of o and 83\/360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 9:30 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1628638059 to the nearest integer?\nAnswer: 40356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3639 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 6*t - 4*f - 17, 3*t = 2*f + 13. Calculate the highest common factor of 11 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -83*w + 59 - 44*w**2 - 111 + 52 wrt w?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3358552, -3358551, -3358546, -3358537, -3358524?\n\"Answer: 2*w**2 - 5*w - 3358549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**2)**(-12\/7)*(k**2\/k*k)\/k**(-2) assuming k is positive.\nAnswer: k**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4138933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.25 + -2.25. Let l = h - -1. Suppose -4*o = -2*r + 2 - 18, -2*o = r. What is the third smallest value in o, -5, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fnm when three letters picked without replacement from ntfgftmctftffnft?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = -q, -4*q = g + 6. Let c(o) = 3 + 2 + 2*o - 3. Is 3 a factor of c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + h + 18 + 3 = 0, -5*h + 16 = o. Let j(l) = l**2 - 9*l - 6. What are the prime factors of j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/43, -0.03, 5.\nAnswer: -0.03, 4\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 224 - 126. Let z = 241 - i. Calculate the remainder when z is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2502966 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166 + 4*f - 76 - 99 - 6*f.\nAnswer: -2*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -4. Let m = 0 + s. Suppose -1\/2 + 7\/4*j**3 - m*j**2 + 11\/4*j = 0. What is j?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -326 + -8037?\nAnswer: -8364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/756 and -43\/567.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -704996\/259 - -2722. Which is greater: 0.49 or j?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 149718 - 78457. What is the ten thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0899835 and -0.41.\nAnswer: -0.4999835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 2*u + 2, -2*u + 4 = 2*y + 2. Let i = 470.757 - 470.72. Which is the nearest to i?  (a) 4  (b) -1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -b + 16, -2*b + 1 = 2*u - 13. Suppose -z - 4*s = -14, -s = -z + 4*s - 13. Let y = u - z. Is 3 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of v**2\/2 + 1. Let d(z) = -77*z - 83*z + 238*z - 85*z. Calculate d(m(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 103.1 + -75. Let i = 7.9 + m. Is 1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + -6 - (40 - 70) - (0 + -1 - -26)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/(-21))\/((-4)\/(-6)). Let i be (75\/1)\/(2\/(-18)*-3). Let p = 226 - i. Which is the nearest to 1?  (a) -0.5  (b) w  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*5\/(-45)*(18\/(-2) - -12). What is the second smallest value in -2\/15, 0.4, 5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.39*23175\nAnswer: 9038.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36 - -28. Is x smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 12*g + 95. Let f(n) = -11*n - 95. Let y(k) = 5*a(k) + 6*f(k). What is the remainder when 189 is divided by y(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78\/259 - 25479\/5698. Find the common denominator of s and 7\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*h**3 - 555*h**2 - 4*h + 3*h + 3*h**4 + 7*h + 526*h**2 to the form g*h**2 + v + k*h**3 + a*h + b*h**4 and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -141, -217, -311, -429, -577, -761, -987?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15451 - 15451.04. Which is the biggest value?  (a) 2\/21  (b) q  (c) 10  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(15\/(-84) + 21\/49). Solve -2*t = d*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494256 is divided by 4413.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 105*a*t**3*z + 3171*a + 3*t**3 - 29*t*z + 5*z wrt t.\nAnswer: 315*a*t**2*z + 9*t**2 - 29*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4*w - 64. Let x = -120 - -104. Let o be m(x). Solve 0 = -o*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 561707.5 micrometers to centimeters.\nAnswer: 56.17075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1 + sqrt(325)) + ((sqrt(325) + 0)*-3 - sqrt(325)) + sqrt(325))**2.\nAnswer: -100*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 529 - 891. Let d = -217 - m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 424851 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvfvlzfyfty. What is prob of sequence vl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19397.9327 + 19398. Which is bigger: -1\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*w**5 + 6*w**5 + 16*w**2 - 22*w**2 wrt w.\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 5*v**2 - 41*v + 1101. Let i be f(25). What is the highest common divisor of i and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113278 divided by 22.\nAnswer: -5149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 l when four letters picked without replacement from mmllkkmmkll?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {m: 1, s: 1, t: 1, v: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*-2*5)\/(sqrt(36)\/(1*sqrt(4)))*-3.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 642*u - 22*u + 4327 = -67593 for u.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 379273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2 + sqrt(125)*1)**2 - (sqrt(320) + 2 + sqrt(50)\/(sqrt(40)\/sqrt(4)) + 3).\nAnswer: sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -4, -2\/53.\nAnswer: -6, -4, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*m**3*s**2 - 59*m**3 - 18*m*s**2 wrt s.\nAnswer: -6*m**3*s - 36*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4*d + 0*d + 2*d. Let x = 3 + 0. Let p(v) = 2*v**2 + 4*v - v - x*v. What is p(u(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*x**2\/9 + 11938*x\/9 + 2986\/3.\nAnswer: -2*(x - 1493)*(4*x + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g*g*g**(-22\/3))\/g)\/g*g**(2\/3)\/g*(((g\/((g\/(g*g**(-20)))\/g))\/g)\/g*g)**22 assuming g is positive.\nAnswer: g**(-1271\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 168932551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2 - 22 = 0. What is the remainder when 28 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -0.2, -1, 3\/7 in increasing order.\nAnswer: -1, -1\/3, -0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8 + (-40)\/6*5*(-9)\/25. Solve 5*v - t = -y, 3*y = -2*v - 3 + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*o + a, 0 + 7 = 2*o - 5*a. Suppose 4*h - h + 10 = 5*f, -h = 5*f - 10. Calculate the lowest common multiple of f and 16 + 2\/(0 - o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o**2 + 26814*o - 26814*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34538580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 6*d**2 + 5*d + 2. Let n be m(5). Is 1*((-117)\/(-3) - n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-54) + 34\/9. Suppose 0 = -2*c + 38 - u. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -4. Let k = 0.4 + -1.4. Let j = k - 4. What is the second smallest value in n, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2432)\/(-15) - 14\/105. What is the highest common factor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -259163*l**4 + 2*l**3 - 1902*l**2 + 878200806*l.\nAnswer: -3109956*l**2 + 12*l - 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -67 - -71. Which is the closest to 1?  (a) z  (b) -3\/22  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (4 - 0 - 4) + -27 + 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - 4343?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-4))\/(58 - (-324137)\/(-5588)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1430 and 1034 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -33451, -33449, -33445, -33439, -33431?\n\"Answer: k**2 - k - 33451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(52) + -3)*1)**2 + (5 + 2 + sqrt(52))*6)*-5.\nAnswer: -7835 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-24)\/(-90))\/((-2)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 23.5. Let i = t - 6. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -11*v**5 + 1538*v**4 + 8196*v**3 - 33706*v**2 + 36727*v - 12744 = 0.\nAnswer: -8, 1, 1593\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3776 + 22733\/6. Calculate the common denominator of -19\/11 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {m: 2, u: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 206992 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -82242 greater than or equal to -82235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -5*w - 5*k + 3, 0 = 3*k + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/5  (b) -0.367868  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a**2 + 2 + 13*a - 5*a**2 + 10*a in the form c + j*a**2 + y*a and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 1981 and 1981 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 78490488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 - (-3*2)\/((-12)\/8). Is 87 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 1. Let o(y) = -12*y**3 + 15. Suppose -16*z = -30*z - 28 + 42. Determine z*o(n) + 15*j(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 8:20 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 192 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96) + sqrt(96) + 1*sqrt(96) + -1*sqrt(600))\/((sqrt(768) + sqrt(12))*-2 + sqrt(108)*1).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10730 and 658970.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - -3. Suppose 0 - 4 = -4*l - 5*y, 3*l - y = 3. Put p, -1, l in descending order.\nAnswer: p, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 10  (b) -2\/11  (c) -4  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - 10*j**2 + j - 8. Let g be t(10). Suppose 5*x + 2*y - 382 = 0, -5*y + g = 22. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -65 + 339. Calculate the remainder when w is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 - d**2 + 2*d - 9. Let m be o(0). Calculate the remainder when m - ((-4 - -5) + -38) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r - 5*r + 10*r + (3 - 1 + 3)*(-2*r - 1 + 1).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -176 + 209. Suppose 36*d = o*d + 3*q + 243, -5*d + 409 = -3*q. Which is bigger: d or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 - 56*s + 64. Let w be f(27). Let c(u) = -13*u + 134. Calculate c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.23505 to 3 dps.\nAnswer: -0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of -i**7\/21 - 27*i**5\/20 + i**4\/6 - 34*i**3\/3 + 245*i. What is the third derivative of a(p) wrt p?\nAnswer: -120*p**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -36212.2916 and -3?\nAnswer: 108636.8748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 5*v**2 - 4325*v - 1483320 = 0.\nAnswer: -263, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -72540 (base 10) to base 5.\nAnswer: -4310130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/7  (b) 8  (c) 2\/19  (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 7) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 7*p - 3. Let f be a(2). Let m be 404\/(-35) + 2\/5. Let l = m + f. What is the nearest to 0 in -1\/4, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312665.\nAnswer: 5, 62533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*((-9)\/12 + (-7)\/28). What is the second derivative of 0 - 7 + 21*h**2 + 32*h - 1 - 38*h - 19*h**d wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 14*f - 50. Suppose -98*m = -60 - 332. Determine c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 1690*h**2 - 26*h - 3. Is 15 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {f: 1, v: 2, s: 1, t: 1, d: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61078812.\nAnswer: 2, 3, 61, 181, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10\/793 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5263192, -5263210, -5263230, -5263252?\n\"Answer: -a**2 - 15*a - 5263176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5102337262?\nAnswer: 2, 11, 17, 13642613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -80603*l + 241774. Determine b(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 3 + 4 - 3 - 2 + (3 - 1 - 3)*(0 + 2 - 4))*(-7*a**4 + 0*a**4 - 5*a**4) as u*a**4 + s*a**2 + m*a**3 + z*a + r and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 3*x = 6 + 9, -5*g = 3*x + 33. Let l(c) = -12*c + 12. Let n be l(g). Calculate the highest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -469*z = -640*z - 2394 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.119 + 0.119. What is the nearest to -1 in -5, -1, z, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 1\/10, -8.6456?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + j. Let c(p) = 5*p**2 + 7*p - 4. Suppose 11*i = 2*s - 7, 57 - 59 = s. Determine i*c(x) + 6*v(x).\nAnswer: x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - 18. Let f be (-692994)\/u - 4\/(-22) - 0. Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**1)**(19\/6)*(g*g**0\/g*g)**(-31) assuming g is positive.\nAnswer: g**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 3\/7, 27, 0.314, 1, 2\/21.\nAnswer: -2\/13, 2\/21, 0.314, 3\/7, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 6*i + 52. Let s be r(-8). Suppose -5*p - 12 = -p, -g + 712 = -s*p. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, r: 4, i: 1, p: 4, g: 5, a: 2}. What is prob of sequence rrkp?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r\/(r**(-3\/7)*r)*r)**34 assuming r is positive.\nAnswer: r**(816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q - 3*p - 22 + 6, 660*q = 663*q + 5*p + 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -41, -1, -2\/9, 1433?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -297*a**7\/7 + 649*a**3\/3 - 497. What is the third derivative of k(v) wrt v?\nAnswer: -35640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1023303216 - 4?\nAnswer: -1023303222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**3\/6 + 6*u**2 - 83*u\/2 - 143\/3 = 0 for u.\nAnswer: -1, 11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -1055?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -61*o - 162. Calculate the remainder when 984 is divided by a(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 3*a**2 + 18*a - 15. Suppose 3*h = k - 0 - 8, 2*k + 2*h = 0. Let c be (k\/(-1))\/(-4)*-14. Let w be j(c). Solve p + p = -w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - s - 1. Let r be m(-5). Let u = 38 + r. Solve u*j = 21*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15642 is divided by 83?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 4:41 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 1 = -5. Let y be -3*4\/(-3 - q). Solve -5*t - 2*h - 25 = 0, 0*t + y*h = -3*t - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, q: 3, u: 2, a: 1, o: 3}. What is prob of sequence uoou?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.093, -5, -0.2, -0.76?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3996 and 1138749?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*m**2 - 18*m - 44*m + 75*m - 11*m.\nAnswer: 42*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2*a - 1)*(-1 + 1 - 2*a) - 31*a - 8*a**2 + 31*a)*(-4 - 4*a**2 + 4).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 225*((-8)\/(-144))\/((-2)\/(-12)). Calculate the greatest common factor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 428 - 423. Suppose 3*p + 16 = 4*s, 0*s - s = p + 3. Let m(b) = 2*b + 0*b - 3*b + s. Determine m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25101, -50203, -75305?\nAnswer: -100407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*r + 154*r + 11 = -3*b, 18 = -4*b - 2*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}