{"text":"Question: Simplify (((x**(-2\/5)\/((x*x\/(((x**(-1)*x)\/x*x)\/x*x*x)*x*x)\/x))\/((x*x**1)\/(x**(-4)\/x)))**10)**(8\/5) assuming x is positive.\nAnswer: x**(-752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Is 133732 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -34*w + 0 + 0 + w in the form p + k*w and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/5612 and -71\/598?\nAnswer: 72956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -139*y**2 + 56*y + 257*y**2 - 115*y**2 - 56*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 905 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5852 and 8279744.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2002)\/(-99))\/(-13)*(-2)\/7.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**2 + 7*c. Let i be p(5). Let r = i + -190. List the prime factors of (-21)\/(-42) + r\/(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 891 - 891 - 5*k + (-2*k + 3*k - 2*k)*(2 + 4 - 4) + (0*k - 6*k + 2*k)*(-2 + 1 - 1) as v*k + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**2 + 5*y. Let h(p) = -p**2 - 6*p. Let g(l) = 6*h(l) + 7*m(l). Let v(u) = -u**2 + u + 1. Give -g(s) + v(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 2*y**2\/5 + 103*y\/10 - 13\/5 = 0. Calculate y.\nAnswer: -26, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/29 (b) 0.1 (c) -79 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1064, -1111, -1158?\n\"Answer: -47*z - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 77 - 48. Suppose 3*v - 37 = s. Suppose -3*q + 2*q = -64. Calculate the remainder when q is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*r - r = -170. What is the greatest common factor of 136 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1106429724 rounded to five decimal places?\nAnswer: -0.11064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6071047*1.\nAnswer: -6071047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -2*n - 1. Let t be n\/(-2) - (-2)\/4. Let m(b) be the third derivative of -3*b**5\/20 + b**4\/12 - b**3\/6 + 102*b**2. What is m(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -72 - (-60 + -115 + 34).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 429 = -26*q + 20*q + 19*q. Calculate the remainder when q is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -6dc486?\nAnswer: -6dc485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1090779, 2181568, 3272357, 4363146, 5453935?\n\"Answer: 1090789*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -175, -358, -545, -736, -931, -1130, -1333?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6642 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -17194, -12064, -6938, -1816?\n\"Answer: -2*a**2 + 5136*a - 22328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 + (-68)\/(-28) - (-67)\/7. Suppose -3*o = j*o - 504. Let x = -40 + o. What is the least common multiple of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -165*g + 26. Let a(y) = 110*y - 17. Let b(t) = -8*a(t) - 5*v(t). Find the first derivative of b(j) wrt j.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxo when three letters picked without replacement from {o: 1, x: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.3 - 0. Let c = -0.95 + -10.05. Put u, c, -0.1 in increasing order.\nAnswer: c, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 484740213?\nAnswer: 3, 161580071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*c + 4*c - c**2 + 2281*c**3 + 4 - 2287*c**3 - 4*c**2 to the form n + k*c + l*c**3 + d*c**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 257981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 268, 270, 272, 274, 276?\n\"Answer: 2*w + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**5)**(42\/5) assuming c is positive.\nAnswer: c**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 - 5*s + 1. Let y = -168 + 170. Calculate o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yogggsl. What is prob of sequence osgg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 10 = -4*z, -12 = -0*z + 3*z + 5*o. Suppose m - 2 = z. Which is bigger: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85 = -z - 3*y, 5*z = 2*y - y + 505. Suppose -194 = -k + 3*k. Let w = k + z. Solve -w*h = 2 + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 347288\/17 = 20430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-1 - 6 - ((10 - 16) + (8 - 10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16236 and 1332936?\nAnswer: 54650376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 6 = 0, 3*n - 3*x + 35 = 185. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -20 - -121\/6. Suppose -4*k - 16 = -4*o, 4*k - 2*k = -2*o + 8. Which is the second biggest value? (a) 0.2 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 - 11*y + 30. Is 33 a factor of o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ltpittttwzwzw. Give prob of picking 1 z and 1 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + -3154141516?\nAnswer: -3154141522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.5394232 minutes to weeks.\nAnswer: 0.000847165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 82*r - 82. What are the prime factors of b(24)?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - c - 23. Let w be u(-4). Let f be (-18 - w)*(-3)\/9. Differentiate 1 - 15*b**4 - f - 7 - 1 with respect to b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -100.50209 rounded to one decimal place?\nAnswer: -100.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**2 + 18*q - 12. Determine c(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5854 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*v - 2*v**2 - 13*v - 3*v**2 + 2*v**2.\nAnswer: -3*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -150, -143, -136, -129, -122, -115?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**2. Let u(x) = 702120*x. Calculate z(u(r)).\nAnswer: 985944988800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 49 - 46. Suppose 4*u = 5*t - 268, -4*t + c*u - 2*u + 210 = 0. Suppose 4*w = 7*w - 39. Calculate the highest common divisor of t and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/34 - -26\/17. Which is the fourth biggest value? (a) 2 (b) -2\/9 (c) w (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -622 in 0.5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 35 + -33. Suppose m*y + 0*y = 0. Suppose -j - j - 21400 = y. Round j to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 363496382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 - -17. Let n = d - -4. Suppose -q + 0*i - 4*i = 7, n*i + 11 = -q. Solve q = 3*k - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.3 and 72482.27.\nAnswer: 72482.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (10\/133)\/(110\/308). What is the third biggest value in -0.1, a, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**3 + 98*s**2 - 5327*s - 662. Determine b(39).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -8*i - 1 + i**3 - 137*i**2 + 140*i**2 + 7*i. Determine g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*n + 72 + 215. Let a = 12 + 8. Let k = a - 5. Calculate the remainder when n is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -5. Let q be 0\/((-2)\/(h + 1)). Suppose -4*m + 349 = 3*l, q*l + 81 = m + 2*l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 626 divided by 1.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 390342713\/646205 + -22350\/37. Let f = 310873\/69860 - a. Let k = -14\/783 + -11891\/1566. Calculate the common denominator of f and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in four fifteenths of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4769103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1d (base 14) in base 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x**2 + 38*x + 86. Let u be f(21). Solve -u*h - h = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 PM and 8:34 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 - -9.01. Let p = -24.99 - b. Let o = 26 + p. What is the third smallest value in -1\/4, -2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 4\/63, -0.23, 4\/9?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -267 + 139. Let m = h + 135. Factor -m*a**2 + 1 - 3\/2*a + 7\/2*a**5 + 6*a**4 - 2*a**3.\nAnswer: (a - 1)*(a + 1)**3*(7*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2 + -0.3. Let b = 81\/35 - 13\/5. What is the third biggest value in 1, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1\/7)*y**2*y*(((y**(-4)\/y)\/y)\/y*y)**50)**47)**5 assuming y is positive.\nAnswer: y**(-488800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108*z + 24 = -104*z. What is the smallest common multiple of z and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1564735348 to the nearest 100000.\nAnswer: -1564700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -10431616.7 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/1748 and 39\/44.\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:30 AM and 5:40 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 99317064 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 143*l**2 - 48*l**3 - 418*l**2 + 137*l**2 + 138*l**2.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:36 PM and 6:51 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -12480?\nAnswer: 12482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 106704 and 79040?\nAnswer: 2134080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = -4*p + 160. Suppose -20 = -2*t + p. Let x = t - 19. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1\/8)*p)\/((p*p\/(p\/p**(-7)))\/p) assuming p is positive.\nAnswer: p**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -5, 1\/2, -0.2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 629 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ededeeeee. What is prob of sequence edd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12053063.\nAnswer: 11, 1095733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6532 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 7072 = 8*q. Find the third derivative of 13*i**2 + q*i + 21*i**6 - 884*i wrt i.\nAnswer: 2520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -35*x + 4. What is the remainder when 439 is divided by o(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-45)\/(-105) + (-17)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-838*f + 508*f - 504*f - 1531*f)*(1 - f - 1) - 2*f**2 + 6*f - 6*f.\nAnswer: 2363*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 544*w - 344. What is the remainder when n(11) is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60987 = -37*i + 34*i + 4*x, -2*i + 40675 = 3*x. List the prime factors of i.\nAnswer: 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**3 + 80*b**2 + 955*b + 3028. Calculate d(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*j + 202 - 58 = 15*j - 5*a - 20, 5*j + 5*a + 40 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1152, 3678, 7878, 13746, 21276, 30462, 41298, 53778?\nAnswer: 67896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 6272*t**5\/5 + 4032*t**4\/5 + 872*t**3\/5 + 72*t**2\/5 + 2*t\/5 = 0. What is t?\nAnswer: -1\/4, -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = 23*f + 79. Let z = 7.8 - 8. What is the nearest to -1 in z, 6, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -16 + 19. Suppose -3*n - 4*u + 6 - 22 = 0, 5*u = -h*n - 20. Suppose 5*k - 66 - 144 = n. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 44 (base 5) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -n + o + 5188, 5*o - 20 = 0. What are the prime factors of n?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 + 22*y**2 + 32*y + 43. Let n be u(23). Let t = n + -254. Sort -9, t, 2\/3 in descending order.\nAnswer: 2\/3, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21 and 5019.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -a**2 - a**2 - 8*a**2 - 2*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1100 - -1600. Suppose -k + 696 = 4*z. What is the highest common divisor of z and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 3, m: 4, p: 3, i: 2, d: 2, j: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*d - 14*d - 4. Let n = 1\/41 + -1938\/451. Find the common denominator of 5 + -1*(-6)\/d and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1653\/6 - (4 + (-28)\/8) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4*(-2 + (-6)\/(-4)). Suppose 3*k - 63 = -6. Suppose -1 - k = -d. Solve -7*o - d = -y*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(624))\/sqrt(3))**2 - 6*(0 + sqrt(13))*-4.\nAnswer: 24*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2*a + 15. Calculate n(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 35\/24 + 1\/24. Sort -1\/7, -3\/11, w in ascending order.\nAnswer: -3\/11, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -2*y + 114. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123008 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: Which is greater: 6\/560833 or -3\/49?\nAnswer: 6\/560833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:17 PM and 8:24 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9882*h**3 + 4926*h**3 + 4950*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = 4*m - 8. Calculate the smallest common multiple of 128 and m.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 2*l**2 - 2*l - 8. Let p be z(4). Let k be (3\/5 - 1) + p\/60. Put 2, 1\/3, -1\/4, k in decreasing order.\nAnswer: 2, 1\/3, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + 2*w - 126, -55 = -3*s - 4*w + 42. Suppose -s*l + 38*l - 448 = 0. Suppose l*p + 238 = 65*p. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 11*l**3*s + 26798793*l**3 + 7487*l*s + s wrt s?\nAnswer: 11*l**3 + 7487*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -113 - -133. Let m = -21186 + 21165.9958. Let s = m + i. Round s to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1977 + 3820 - 1843 + 6*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 22065601 minus 470880?\nAnswer: 21594721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 1\/6 (b) 1\/7 (c) 3798\/25 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (54 + -13)\/(7\/(15 - 8)). Solve l*y + 268 = 63 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 2.126871nm?\nAnswer: 0.002126871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 7*u + 5*x + 214, -u + x = 66. Suppose -2*o + 18 = z - 47, 352 = 5*z + o. Let c = z + u. Solve 2*y = -c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 - (1 - 4\/(-2)). Suppose -s*l + 10 = -l. What is the remainder when 384\/21 + (-2)\/7 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*(-10)\/(-550)*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -3*j. Let z(i) = -165*i. What is z(b(k))?\nAnswer: 495*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 3, -0.06, -32, -2\/5 in increasing order.\nAnswer: -32, -2\/5, -0.06, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-45)\/18)\/((-195)\/52). Which is the nearest to p? (a) -1.7 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (111\/39 + -3)*(-2)\/(-6) - 0?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from geggeggeggggggggee. What is prob of sequence egg?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = 4*m - 1888, 0 = 2*m + 147*x - 148*x - 932. Does m = 459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-21 - (-37 + -15))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12928 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36 + -43. Let x = 3 - 8. Let g = x - i. Solve 0 = s, -4*c + 2*c + g*s = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -426, -1697, -3804, -6735, -10478, -15021, -20352?\nAnswer: -26459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 + 10*d**2 - 8*d - 8. Let y be c(-10). Suppose 0 = 22*f - 19*f - y. Calculate the highest common factor of f and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -583*u + 490*u = -185 + 8183 for u.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 410, 2702, 4996, 7292, 9590, 11890?\n\"Answer: t**2 + 2289*t - 1880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 482 - 481. Let f = 1.3 + 0.7. Let t = -12.98 - -13. Which is the closest to 2\/3? (a) f (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mt when two letters picked without replacement from {t: 1, m: 3, l: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**2\/(w*w\/(w\/(w\/(w\/(w**(1\/9)\/w))*w))))**(-2\/5))**(11\/3) assuming w is positive.\nAnswer: w**(-176\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1191 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -88*f**3 + 6*f**2 + 4*f - 5. Let u(a) = 4*a**3 + 2*a**2 + a - 1. Give q(j) - 3*u(j).\nAnswer: -100*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 123 + -74. Suppose -w = -2*o - f, 2*o - 16 = f + 27. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-6*(sqrt(175) + sqrt(175)*2*6) - (sqrt(175) + (sqrt(175) - (sqrt(175) + 0)*-2) + 1)**2)*1.\nAnswer: -8403 - 1290*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -5*x - 27 - 4*x + 7*x + 8*x. Calculate the smallest common multiple of l(10) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 5, r: 8}. Give prob of picking 1 r and 3 q.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4409\/65 - -343\/5. Let p = 59\/26 - w. Let y = 0 - -2. Sort 1, y, p, 5 in decreasing order.\nAnswer: 5, y, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10513167 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 5767.98 and -0.4.\nAnswer: -2307.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(192)*-2 + -5 + ((sqrt(6)\/sqrt(2) + -4 + 3)*-6)**2 + 4.\nAnswer: -40*sqrt(3) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -790, -1527, -2264, -3001, -3738?\n\"Answer: -737*c - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 368, 432, 510, 602, 708, 828?\n\"Answer: 7*i**2 + 43*i + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1*(2 + sqrt(612)))**2.\nAnswer: 72*sqrt(17) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 654158\/2289357 - 8\/327051. Factor 2\/7*r + k*r**2 - 4\/7.\nAnswer: 2*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (-28)\/(-12) + (-40)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a**2 - 2. Suppose -4 = -v - 5. Let r be 1*(0\/v)\/(-1). Suppose r = -2*z - 0 - 4. Give d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -25*h**4 - 5 + 3 + 1 + 7 wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b = 9*b - 48. Let h = 23 - b. What is the least common multiple of h and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -485 - -312?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1434321 divided by -13.\nAnswer: 1434321\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7685.103 millilitres in litres?\nAnswer: 7.685103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.05224 in 1\/5, -17, 25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2919511913 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 15*r - 19. Let h(u) = 7*u - 9. Let m(f) = -6*a(f) + 13*h(f). Suppose 15 = -19*p + 14*p. Let y(i) = i - 3. Determine p*y(w) + 4*m(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = -16*j + 152 - 158, 0 = -5*j - 3*m + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -9, 0.1, -0.4, 28946, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1092, 3728, 7890, 13572, 20768?\n\"Answer: -a**3 + 769*a**2 + 336*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3612694.\nAnswer: 2, 1806347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1020 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + (4\/2)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8909 - 8909. Sort 0.3, -2\/3, n, 517 in decreasing order.\nAnswer: 517, 0.3, n, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 71\/(-20) + 3 + 9\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -12*t - 4. Let m be j(-3). Suppose 7*b + m = 8*b. Suppose -3*w = -p - 149, -w + 39 = 5*p - b. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3bdc57 (base 15) to base 3.\nAnswer: -12102101220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 - 3*k**2. Let a(f) = f**3 - f**2 - 16*f + 10. Let n(b) = b**3 - 2*b**2 - 19*b + 12. Let u(v) = -6*a(v) + 5*n(v). Determine 3*r(s) - 2*u(s).\nAnswer: -s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1872, -7369, -16504, -29277?\nAnswer: -45688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the second derivative of -r**4\/12 + r**3\/2 - 3*r**2\/2 + 2*r. Let c(y) = y - 1. Determine -4*c(n) + s(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.03 - -0.07. Let z = 5 - 5. What is the second smallest value in r, 3\/2, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-51)\/(-15) + (-33)\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 23 = -3*h, 4 = 3*w + 5*h + 23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - -4070.395692.\nAnswer: 4072.395692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11211111 - -11?\nAnswer: 11211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 454868 is divided by 149?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (5 + (15 - 7))*(7 - 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 295*a**2 - 3598*a**2 + 1670*a**2 + 1677*a**2.\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -2*y + 2*y + y**2 - 3*y + 0*y**2. Let z be m(4). Solve -4*x = -9*x - g - 19, z*x + 8 = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17604 + 11146. Let z be g\/(2*3\/48). What is z rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 46 + -42. Calculate the lowest common multiple of z and (-6)\/(-15) + (-18)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1466 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of 5*a**4\/12 + 5*a**3\/3 + 5*a**2\/2 + 17*a - 18. Let k(q) be the first derivative of d(q). Find w such that k(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**3 - 11*o. Let k(p) be the third derivative of -p**6\/60 + 23*p**4\/24 - p**2 - 57. Calculate 13*c(h) + 6*k(h).\nAnswer: h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 9415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1272?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 2.36116nm?\nAnswer: 0.000000236116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**3 + 3*a**3 - 4*a**3 + (5 + 0 - 4)*(8*a**3 - 3*a**3 - 3*a**3))*(-152 - 173 - 240).\nAnswer: 565*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 2\/3, -3\/4, 0.18, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n + 0*n - 75 + 149 - 74.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00180728 rounded to 5 dps?\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 + 2*x + 1. Let r be o(-1). Let q be -6*(4\/(-30))\/2. Which is the nearest to r? (a) 2\/7 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 163748921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -0*m + 12. Let b(c) = m*c - 3*c + c**2. Let k(r) = 2*r - 3. Let j(t) = -2*t + 4. Let s(x) = -3*j(x) - 4*k(x). What is s(b(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 39936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 39537 (base 10) to base 2.\nAnswer: 1001101001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1510 or -1005?\nAnswer: -1005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f + 1. Let i be s(3). Let u(l) = -l**2 + 3*l + 8. Let a be u(i). Calculate the greatest common divisor of 10 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 862653 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-743 - -640) + (8 - (23 + 4))\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 327 greater than -2989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34*f + 34*f - 8*f**2)*(3*f - 6*f + 0*f) + 6*f**2 + f**3 - 6*f**2.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -34802*x. Let k(z) = 4*z. What is k(n(o))?\nAnswer: -139208*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 362 a factor of 16790574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2*1.908\nAnswer: 3.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c + 0*c + 3*c)*(3 - 6 - 1)*(1175 + 891*c - 1825*c + 932*c).\nAnswer: -8*c**2 + 4700*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1840 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 5*c = 4, w + 5*c - 86 = 0. Suppose 0 = -y + 21 + 16. Suppose -28 + 75 = 3*l + 5*v, y = 3*l - 5*v. Calculate the remainder when w is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2 + 723\/15 + 1\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 49 - 197\/4. What is the biggest value in 2\/11, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7241.29096 + 7241. Let a = m - -0.293. Round a to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/43092 and -11\/15319206?\nAnswer: 30638412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 5 + 0*t + 8 + 5 + t. Let s be p(-8). Let a = s + -7. Solve 3*j - 7*i + 3*i + 11 = 0, 3*j + 12 = a*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*h**5 - 26*h**5 + h - 9*h**5 + 3 - 36*h**5 wrt h?\nAnswer: -1480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**2 - 2*c + 5. Let r be q(-4). What is the units digit of 3*2*(0 - 1\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 3 k when four letters picked without replacement from {b: 1, k: 5, o: 3, h: 6}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 4*u**2 + 24*u + 3. Let h(b) = -7*b**2 - 49*b - 6. Let f(x) = -11*g(x) - 6*h(x). Let l be f(15). Solve r = 1 + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 14 = -98. Let r be 2 - 6 - -10*1. Let g be (2 - (3 + r))\/(-1). What is the highest common factor of g and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3149.874 centuries in months?\nAnswer: 3779848.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of -f**7\/40 - 3*f**6\/40 + 3*f**5\/10 + f**4\/2 - 2*f**3 - 6. Let a(l) be the third derivative of m(l). Factor a(u).\nAnswer: -3*(u - 1)*(u + 2)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 - 20. Let d(q) = -2*q - 9. Determine d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 12) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68406*t**2 + 2*t + 2*t - 4*t.\nAnswer: 68406*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 1 = -2*s, 5*s = s + 2*q + 26. Solve 10*h - 5 = s*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/(-2))\/(2\/(-3)). Let p be -4*(15\/(-6) - (-5 - r)). Solve 3*o = -p*c, -2 = -o - 0*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/7? (a) -1\/17 (b) 0.014355 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -4*n - 500283, u - 3*n - 35179 = 131572. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3088788 - -64886632\/21. Let w = 2944\/3 - t. Let q = w - -70. What is the nearest to 1 in -3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13*m + 4*g + 130, -83*m + 17*m - 30 = -63*m + 2*g for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of 2*r**4 - 2*r**3\/3 - r**2 - r - 47. Let c(j) be the first derivative of j**2\/2 - j - 1. Let h be c(0). Determine y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -4 - -2 - (-231 - 1). Let h be q*(-2 - (-5)\/2). What is the greatest common factor of h and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence luul when four letters picked without replacement from uullluuluu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -456, -3627, -12216, -28935, -56496, -97611?\n\"Answer: -452*o**3 + 3*o**2 - 16*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133031843.\nAnswer: 7, 59, 322111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(15)\/(sqrt(108)*-3))**2 - ((-1 + sqrt(500))**2 + sqrt(500) + 3 + (0 + sqrt(5))**2).\nAnswer: -164911\/324 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -104795\/18 + 5825. Calculate the common denominator of l and -91\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9*(-50)\/(-90) - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the first derivative of 5*v**2 + 897. Let g(k) = -43*k**2. What is m(g(j))?\nAnswer: -430*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add -64802476 and -0.219.\nAnswer: -64802476.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of -5*h**8\/336 + h**7\/42 + 7*h**6\/12 + 13*h**5\/6 + 95*h**4\/24 + 25*h**3\/6 - 3596*h**2. Suppose a(i) = 0. What is i?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2117, 2085, 2027, 1937, 1809, 1637, 1415?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 429.2 + -517. Let y = -0.01035 - 87.98965. Let t = x - y. Which is the smallest value? (a) t (b) 0.3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 424889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 AM and 9:57 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1015650.\nAnswer: 2, 3, 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1133, -1130, -1125, -1118, -1109?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 493 - 510. Which is the biggest value? (a) n (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10, 0.5, -0.012, 113\/2, 2?\nAnswer: 113\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-48)\/(-544)*(-72)\/(-3)*86\/(-387).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.72 + 6.2. Let u = -2.47999782 + k. Round u to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -j + 1371 + 0*j - 3*j**2 - 1369 + (3 - 4*j - 3)*(1 + 2*j - 1) - 3*j**2 + j**2 + j**2 - 3*j**2 - 2*j**2 - j**2 to the form d*j**2 + g*j + x and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -299*k*z**2 + 2528*k - 15800056*z**2 wrt k.\nAnswer: -299*z**2 + 2528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -732*y**5 - 162*y**2 wrt y?\nAnswer: -43920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (7 - 8) + (-6 - -15) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -4*g + c + 43, -3*g = 4*c - 41. Suppose -2*w = 3*r - 4, -3*r + 0*r = 4*w - 2. Find the third derivative of z**5 + 7*z + 3*z**r - g*z wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-3\/2))**(2\/99) assuming p is positive.\nAnswer: p**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1317 + 1999. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4278 and 1116?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/(l*l**(-26))))\/((l\/(l\/(l*l**(2\/11))))\/l))**(-13) assuming l is positive.\nAnswer: l**(3601\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1 and 46485990.\nAnswer: 46485990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*v + 12, -123 = k - 4*v - 134 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 520393495 to the power of 1\/2, to the nearest integer?\nAnswer: 22812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 9:39 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33 - (-35 - (0 - 33)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(2\/37)*j*j\/((j*j**(3\/4))\/j)*(j*j**(-9))\/j*j**(7\/5) assuming j is positive.\nAnswer: j**(-4659\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 51426?\nAnswer: 51426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of -5*x**4\/12 + 25*x**3\/6 - 5557*x. Let i(f) = -7*f**2. Give b(i(r)).\nAnswer: -245*r**4 - 175*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ixiififxxx. What is prob of picking 2 f and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 176 = 100. Let x be (4\/30)\/(t\/60). Do x and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 1495*x**3 - 611910*x + 611910*x + (-4*x + 5*x - 3*x)*(x - x + 2*x**2) + (-1 + 4 - 1)*(-3*x**3 + 3*x**3 - x**3).\nAnswer: 1489*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 127 divided by 3.\nAnswer: 127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 41089 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 - ((-2 - -3) + 3). Suppose -3*f + s*d = 5*d - 190, 0 = 3*f - 3*d - 198. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**2*n*n**(-7)*(n*n*n\/n**(-2))\/(n\/n**(-8)) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -97 + 58. Let p = 58.9 + v. Let r = p - 20. Which is the nearest to -2? (a) 1\/6 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mjjjm. What is prob of sequence jm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-4*1*sqrt(152) - sqrt(152))*-4)\/(1*sqrt(288)*-5 - sqrt(288)).\nAnswer: -25*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 2*s - 4 = 0, 0 = d + 3*s + 2*s + 1. Suppose g - 5*g = -8. Let n be 6\/10 + (g - 3). Is d less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-three eighths of a millennium?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 0.094722.\nAnswer: 3.905278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -0.2, 18, 36\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 23\/7, 103, -1\/2.\nAnswer: -1\/2, 23\/7, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0\/(-4 + (-1 - -3)))\/2. Suppose z = 10*f - 3*f - 21. Factor 9\/2*y**2 + 3\/2*y**f + 3*y + 0.\nAnswer: 3*y*(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 185435\/33 - 5618. What is the common denominator of s and 31\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -97*z + 605 = -152*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -489, -1065, -1641?\n\"Answer: -576*w + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 12 + 1603?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -11 - ((0 - 2) + -3 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 504 - 500. Suppose 2*a + k - 1865 = 0, 225 - 1162 = -a - 2*k. Suppose -t*v + a + 447 = -2*b, 3*v + 4*b = 1061. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 84 and 4305189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 33 - 5700?\nAnswer: -5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.22, 12, 0.299 in increasing order.\nAnswer: -0.22, 0.299, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -15*o**2 + 15*o. Let p(v) = 7*v**2 - 7*v. Let k(q) = 13*p(q) + 6*z(q). Determine k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 261036 (base 8) in base 12?\nAnswer: 44566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5608 + 50404\/9. What is the common denominator of c and 3\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 3*i + 2. Suppose 2*l = 4*r + 22, 4*l - 4*r - 26 = -5*r. Let u(s) be the first derivative of -5*s**2\/2 - 4*s + 221. What is l*n(w) + 4*u(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-165)\/(-20)*(2\/(-4))\/(1760\/(-13440))\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, 5, -47 in ascending order.\nAnswer: -47, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + u - 2*u - 7 = 0, -z - 4*u = -2. Let n(k) = k**3 - 4*k**2 - 8*k + 4. Let p be n(z). Let a = 4 - -10. What is the highest common divisor of a and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 PM and 2:14 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 4*l = 10, 2*c - 13 + 3 = -2*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 17.5 + 0.0144346\nAnswer: 17.5144346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the third derivative of 0 + 0*v**3 + 1\/3*v**5 - 2*v + 5\/24*v**4 + 5\/32*v**6 - 29*v**2. What is h in p(h) = 0?\nAnswer: -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (11 + (-6020)\/548)*(5 + 38). Is f greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y**5 + 3972*y**4 - 909004*y**3 - 38693508*y**2 - 143738560*y - 140038800 = 0. Calculate y.\nAnswer: -33, -2, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n - 10. Let f(m) = -4*m + 29. Let p(a) = -2*f(a) - 7*s(a). Let t = -1 - 6. What is the units digit of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(((-4)\/(-42))\/((-412)\/(-1442)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*d - 135 + d**2 + 132 - 26*d**3 + 6*d**3 wrt d?\nAnswer: -120*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 346*u - 1728. Determine h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 1 - 11. Let q be 0\/(1*-3*(-9)\/(-27)). Suppose 0*d - w*d + 8 = q. Solve a = 5*u + 29, d*u = -6*a + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-6) + 35\/(-15). Let r be ((-6)\/4)\/(n\/4). Factor 0*w + 2*w**r + w**3 + 2*w - w.\nAnswer: w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1105 divide 12164383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1512.6 + -1512.6000005949. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48984244 is divided by 1139168.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 43 - i**2 - 41 - 2*i + 29. Let p be f(-6). Suppose -1760 = -p*l - 542. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = 11*z - 6*z - 5*m, z - 3 = -3*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 17 = y, 2*q - 3 + 13 = 0. Is y not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/4*1 - (-162)\/36. Suppose -5*r = -0*s - 5*s + 1460, 0 = s - a*r - 300. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 62*z + 3. Suppose -2*i - 3*y + 23 = -12, -3*i - y + 63 = 0. Let o = 30 - i. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5954764 = 4*g - 2*a - 2*a, -g + 1488664 = -4*a. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 132729 - 132729 - 2*d - 15*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 52 = -23*p - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - 7*u - 1. Let o(v) = 3*v - 11. Let a(s) = 8*s - 34. Let y(z) = -4*a(z) + 11*o(z). Let h be y(-8). Determine c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16.9 - 21.9. What is the second biggest value in i, 0, 1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 31 + 2*w**2 - 37 + 6. Let j(a) = -67*a**2. Determine j(k(n)).\nAnswer: -268*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**3 + w**2 - w + 1. Let z(b) = -81*b**3 + 28*b**2 + 2*b - 2. Let r(p) = 2*f(p) + z(p). What is the third derivative of r(h) wrt h?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-27)\/(-15))\/(((-312)\/80)\/(-13)). Solve -24 = -5*s + i for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -12, -9197.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/(q*(q*q**5)\/q*q*q)*q**(-1\/2))\/(q**3*q*q**(-4)) assuming q is positive.\nAnswer: q**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is (-399368)\/(-7) + 132\/308 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 52 and 1924?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 376 divide 82389872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 387 and 1892.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of f**5\/20 - 3*f**4\/4 + f**3\/6 - 9*f**2\/2 + 5*f. Let d be y(9). Let w = d - -5. Solve -a = -2, 2 = 2*g - w*a + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -100000100111 (base 2) to base 14\nAnswer: -a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a = 39 + 17. Suppose 2*y + 20 = 6*y + 2*s, -4*y - 3*s + 16 = 0. Calculate the greatest common factor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4535166*n + 5 + 5 - 10.\nAnswer: -4535166*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from vffvvpptpvbvbbtvf.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 2\/843, 0.3, -1\/6?\nAnswer: 2\/843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -278.4924 + 280.5. Let a = -0.3 + 2.3. Let x = p - a. Round x to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, g: 6, h: 1, n: 8}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*g - 10*g = -15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -5*g - 24, 2*q - g - 3 = -2*g. Let d be q*(-70)\/(-12)*4. Let r = 53 - 25. What is the greatest common divisor of r and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1366.122 - 1365. What is t rounded to two dps?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1 and 153866993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 + 10*l**2 - 9*l + 6. Let c be h(9). Let b be 64800006\/(-9) + 4\/c. What is b rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -225*b**2 + 20*b - 219*b**2 + 451*b**2 in the form i*b**2 + t + j*b and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -398 - -415. Solve w*l - 9*l + 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -97818 divided by -2877.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/70*-4 + (-2)\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1294592*h**3 - 16653*h**2 wrt h.\nAnswer: -7767552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (267\/623)\/((-3)\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the first derivative of -97*i**3\/3 - 86. Let c(x) = -2*x**2. Calculate c(p(b)).\nAnswer: -18818*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 + -4)*-2*1. Let y be 3*u*(-2)\/12. What is the remainder when 23 is divided by (y - 34\/4)*-2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2923 - -2949. Solve 0 = -177*s + 164*s + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 4. Suppose -2*t + 1 = -s, u = -0*t - t - s + 2. Let g(d) be the first derivative of -5*d**2 + 4. Calculate g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 120\/390*(-4186)\/(-28)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 301 + 164 = 3*h. Is 33 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -5*r**3 - 2*r**2 - 2*r - 1. Let q be d(-1). Suppose -t + q*w = 14, 2*t + 0*t - 2*w = -4. What is the highest common divisor of 4 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22.3 + -22. Let u = 0.1 + s. Sort -14, u, -2 in decreasing order.\nAnswer: u, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -3 (b) 3\/2 (c) -4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 181 + 665 = 0. Let m = 216 - b. Suppose -2*k = m - 85. Solve -h = 4*d - d - 10, -k*h = -d - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/10134740 and 57\/46619804.\nAnswer: 233099020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-17)\/3 + 6\/9. Let o = -106325 - -106325. Which is the second smallest value? (a) o (b) -152 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, j: 7, a: 1}. Give prob of picking 2 j, 1 z, and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -221.\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r\/(r*r**(3\/7))))\/r*r)\/r*r*r*r*r*r**1)**(-14) assuming r is positive.\nAnswer: r**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 5*f**2 + 5*f - 1. Let u be n(4). Let m(x) = -u - x + 3 + 0*x. Let j(l) = 3*l**2. Determine j(m(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41 - -153. What is the derivative of 16 + 202*d + t + 8 + 104 wrt d?\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -104 (base 5) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 14*i - 2119. Suppose -161*z + i*z = 586. 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 {v: 13, a: 3, e: 3}. Give prob of sequence ee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 719*j - 417. Is d(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -266*y**3 + 66*y**2 - 8*y - 4. Let i(l) = -267*l**3 + 68*l**2 - 6*l - 3. Let a(x) = 3*d(x) - 4*i(x). What is the third derivative of a(b) wrt b?\nAnswer: 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 194861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/(-12))\/(3\/225). Let p = 77 - b. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uujuujjuuujjuuuu. Give prob of sequence uuu.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is j in j**4 + 173*j**3 + 7395*j**2 - 7569*j = 0?\nAnswer: -87, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s. Let c(l) = 29*l**2 + 1. Give c(m(w)).\nAnswer: 29*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, 0.08, 1, -522558?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1377, -2107, -4083, -7929, -14269, -23727, -36927, -54493?\nAnswer: -77049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16)\/(-6)*9\/6. Suppose 10 = 5*p - c*t, -3*p + 5*t = -7*p - 33. Let v(s) = -5*s**2 + 16*s - 1. Let a be v(3). Put 5, p, a in descending order.\nAnswer: 5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 181dd (base 14) to base 6\nAnswer: 1145143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.44 + -7.56. Let g = -7.94 - 0.06. Let w = d - g. Sort 2\/7, 3\/2, w in decreasing order.\nAnswer: 3\/2, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-10)\/1*(8 - 7). Let i be 466\/10 - 1*(-6)\/x. Suppose -v = 41 - i. Solve 8 = -v*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 278\/(-16) - ((-3021)\/(-456) - (14 - 7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 1627*v - 76254. Determine q(47).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37561 - -45537.5. Round c to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 3*g = -12, -5*z - g - 5 = 3*g. Suppose z*n - 12 = n. Suppose 0 = 5*f - n - 14, 0 = 4*w + 5*f - 164. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1176, 9 in decreasing order.\nAnswer: 9, 3, -1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 = -4*j + 9*j. Let l(r) = -r**2 - 7*r. Let d be l(-8). Let u = d - j. Solve 2*m - 22 = 4*v, -3*v - 20 = 2*v + u*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 50 = -t. Let h be (4\/t)\/(32\/(-40)). Is -1 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 0 + 8 + 10 - (54 + (15 - 16))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 165, 17, -39 in descending order.\nAnswer: 165, 17, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6793556 millilitres in litres?\nAnswer: 0.0006793556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 32558111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 11 = -11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 2396550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 14387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - 102\/(-4) - (-12)\/(-24). Calculate the greatest common factor of 2889 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fc when two letters picked without replacement from fkkkkpkcff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 7*s**2 + 2*s + 10. Let k be (-14)\/6*(8 + -5). Let n(g) = g**3 + 5*g**2 - 16*g - 21. Let j be n(k). Determine y(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a - 20 = 7*a, -5*m = -a - 2271. What is the smallest common multiple of m and 210?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000043151948 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33065 is divided by 321.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 242, 0, 161, -4, 1 in decreasing order.\nAnswer: 242, 161, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-18 + 9) - 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 232 a factor of 390364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 4*q + 4. Let j be n(-1). Suppose j = -o + 4, 0*h - 3*o + 31 = h. What is the greatest common divisor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -5 - (-13 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 51.006484 - -0.000516. Let l = 0.007 - i. Let a = 47.7 + l. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a**3 - 565*a**2 - 24090*a = 0.\nAnswer: -33, 0, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, o: 1, u: 4, i: 2, x: 1}. Give prob of sequence ouci.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes after 7:30 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5374606.4 rounded to the nearest one thousand?\nAnswer: -5375000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (160\/(-4))\/5 - ((7 - 16) + -52941)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n - 489 = 4*k - 397, 4*k + 668 = 41*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fd when two letters picked without replacement from {f: 1, d: 4, u: 2, t: 4, w: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*t**3 - 4*t**3 + t - 164*t**2 + 5*t**3 - 4*t**3 - t**3 + 426*t**2.\nAnswer: t**3 + 262*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 100470 or -0.5?\nAnswer: 100470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 101 + -192. Let a = -7 - n. Calculate the highest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17 - 16. Which is the closest to 1? (a) 3 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -399*c - c**2 + 399*c. Suppose -4*y = 2*a - 4, -5*y + 1 = 4*a - 7. Let r(n) = -15*n**2 + 32*n**2 - 18*n**a. Calculate r(b(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 13 = 3*m - 64, -4*m + 4*h = -36 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4971, 9, -38, 5 in decreasing order.\nAnswer: 4971, 9, 5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -32 - -47. Suppose 10*j + 66 - 216 = 0. Calculate the greatest common factor of n and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 247060, -3\/43, -23?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 10 = -b. Let q(c) = 5*c + 11. Let z be q(b). Put -1, z, 3 in increasing order.\nAnswer: -1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in n**5\/5 + 53*n**4 + 2775*n**3 - 99325*n**2 + 420500*n = 0?\nAnswer: -145, 0, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the third derivative of -w**6\/120 + 3*w**5\/20 - 7*w**4\/24 - w**3 - 2*w**2. Let x be i(8). Solve 2*p + 5 - 19 = x*l, -4 = -4*l - 4*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8183, 8241, 8299, 8357, 8415, 8473?\nAnswer: 8531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7836, 7901, 7968, 8037, 8108?\nAnswer: 8181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 2:50 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*((t\/(t**(14\/5)*t))\/t)\/t*t)\/(t\/(t**(2\/19)\/t))*(t**(1\/3)*t)**18)**(-1\/38) assuming t is positive.\nAnswer: t**(-917\/1805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 145552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-47)\/((-3290)\/(-20)))\/(5\/((-210)\/156)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -24*f**3 - 11*f**2 + 11*f. Let i(u) be the first derivative of -2*u**4 - 4*u**3\/3 + 2*u**2 + 331. Suppose -4 = -b - 0*b. Determine b*v(y) - 11*i(y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000768907 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of q*t**3 + 420*q*t - 246400*q - 11*t**4 wrt t?\nAnswer: 3*q*t**2 + 420*q - 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-448)\/140)\/(48\/(-390))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 219*q + 704 = 10997 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 1092271 * -3.\nAnswer: -3276813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1656 - 37?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 3*q = -4. Let c = -1760 - -2612. Is q\/(8\/c)*1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -83425*n**4 + 38*n**3 - 25524596*n**2.\nAnswer: -2002200*n + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d + 0 = 16. Solve -d*j + 0*j + h - 4 = 0, h = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -133*y - 20. Let a be m(3). Let u = -243 - a. What is u rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - 8 - 1)\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4225 + 88668. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000741243181 rounded to seven decimal places?\nAnswer: 0.0000741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (9 + (-200)\/24)\/8?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**2 + 10352*h + 2060252. What is l(-203)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -258*v + 264*v - 1680 = 0. Suppose -5*l + 2*r + 26 = 6*r, -10 = 3*l - 4*r. Suppose -l*a + 402 = -v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 3*v = 35, 2*g - 5 = 4*v + 5. Let u = -1867 + -1292. Let d be 1\/4 + u\/(-36). What is the highest common divisor of d and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2196\/46391 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 43, 3, -576 in decreasing order.\nAnswer: 43, 3, -0.2, -576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 14*b**2 - 11*b. What are the prime factors of m(-14)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 91 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 726 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1 + -11 + (15 - (50 + -41))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -315*a**5 + 321*a**5 - 674*a - 359*a**4 + 359*a**4 + 76*a**2 wrt a?\nAnswer: 120*a**3 + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30 is divided by (176\/55)\/((-2)\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 72 - -15*(-5)\/15. Which is greater: b or 66?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16042021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + w - 3*w = 20, 0 = 4*f + 4*w - 20. Suppose f*a - 2*d - 86 = -5*d, a - 24 = -4*d. Let p = 79 + 97. Calculate the greatest common factor of p and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - -4. Find the first derivative of -35*a**3 - 2*a**g + 35*a**3 + 1 wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (29*w - 65*w - 55*w)*((1 - 5 + 5)*(0 + 2 - 4) - 3 + 1 - 1).\nAnswer: 455*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-30)\/(-4) - (-4)\/8. Is 8 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + 6340615?\nAnswer: 6340614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = 4*h - 6. Let f(v) = -v - 7. Let w be f(h). What are the prime factors of (-6 + 0)*w\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 + 5*r - 1. Let v be n(-6). Suppose -v*c = -3*a + 3, 0 = -4*c - c. Let t(j) = j + 25. Let s be t(-29). Put -3, a, s in decreasing order.\nAnswer: a, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.05761, 13.6, 8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/9 in 0.5, 4\/5, -0.03, 8?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.07, -0.6, -3\/11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 36102269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -0.001 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**5\/15 - 772*q**4\/15 + 4726*q**3\/15 + 8576*q**2\/15 - 18872*q\/15 - 21952\/15 = 0.\nAnswer: -392, -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -115144 or 49?\nAnswer: -115144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -3, 5, 21, 45, 77, 117, 165?\n\"Answer: 4*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four ninths of a hour in seconds?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -355114 - -5?\nAnswer: -355106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*a + 208 = 132*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 5340, 9133, 12946, 16785, 20656, 24565?\n\"Answer: n**3 + 4*n**2 + 3774*n + 1561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 243 - -28?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 2*o + 3. Let h be x(-2). Sort 0, -4\/5, h in decreasing order.\nAnswer: h, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 875*s**2 - 13856 + 27709 - 13852 + 2539*s**2 to the form t*s**2 + l + a*s and give t.\nAnswer: 3414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u + 352*p - 355*p - 39 = 0, -3*u + 5*p + 65 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80))**2 + sqrt(60)\/(sqrt(12)*-1) + -1 + sqrt(720) + 3 + 0 + sqrt(5).\nAnswer: 12*sqrt(5) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(32) + 4)**2 - sqrt(288)*2)*4 - (-4*(-3*(sqrt(3872) + 1))**2 + -1).\nAnswer: 3200*sqrt(2) + 139621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 6*m + 6 + 2*m**2 - 8*m**2 + 4*m**2 + 3*m**2. Let w(j) = j**2 - j - 4. Let c be w(0). Calculate a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65910?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 0*z + 4 = 0, 5*d - 2*z + 2 = 0. Suppose 53 - 57 = -2*y. Let g(c) = -c + c**y - 16 + 18 + 2*c + 0*c. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 2*g = -8590, -4*g + 10276 = -q + 7*q. Suppose q = 2*a + 3*l - l, 2592 = 3*a - 3*l. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - 9. Put -5, -2\/9, p in decreasing order.\nAnswer: -2\/9, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 11*s**2 - 47 - 11 + 1 + 10. Let f(o) = o**2. Give f(k(b)).\nAnswer: 121*b**4 - 1034*b**2 + 2209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -6*v**2 - 223*v - 2*v**3 - 230*v + 446*v + 10. Is h(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.3 + 0.2. Let m = 0.1522 - -0.1478. What is the closest to l in m, 1, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(96) + sqrt(96)*-2 + sqrt(6))\/(sqrt(16)\/(-1*sqrt(8))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1*95*(-33)\/(-165)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -4*y**3 + 7*y**2 + 18. Let n(b) = 2*b**3 - 3*b**2 - 8. Let q(h) = 4*m(h) + 9*n(h). Let f(r) = 5*r**3 + 2*r**2. Give -6*f(p) + 13*q(p).\nAnswer: -4*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -15*d**3 - d. Let j be x(1). Let s = j - -17. Put s, 5, 4 in increasing order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-2 - -12 - (22 + (-76 - -13)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 15) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -259*s + 259*s - 13*s**4 + (s**3 - s**3 - s**3)*(47*s + 478 - 478).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/(-3) + (5 - ((-1)\/(-22) + 1685190\/(-215644))).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-21)\/(-28))\/(1\/(-84)). Let m = k - -105. Suppose -8*f + 18 = -5*f. What is the highest common divisor of f and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8 + -3 + -3 + 37 + 8. Let n = -47 + p. Solve n*o - 15 = -3*o, -5*i = 4*o - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4 - 44\/(-10)) + 0. Is 1\/2 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 3816665?\nAnswer: 30533320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 3*q - 6. Let o(g) = 1. Let p(c) = -3*o(c) + z(c). Is p(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 99 by 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -287*w**3 + 2*w**2 - 19*w - 21. Calculate j(-1).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 0*z + 39 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (0 + 8\/10)\/(66\/20295).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -41186.63 + 41409.6299. Let b = q + -223. What is b rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1008425 a multiple of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*n + 3 - 4 + 7*n)*(-4*n**4 - 4*n**3 + 4*n**3).\nAnswer: 48*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 184 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sum 2472 and 0.4.\nAnswer: 2472.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a + 15 - 17 + 0*a)*(5*a + 5*a + 7*a) - 4*a**2 - 2*a**2 + 5*a**2.\nAnswer: 67*a**2 - 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b**4\/7 - 34*b**3 + 7804*b**2\/7 - 5696*b - 16128 = 0 for b.\nAnswer: -2, 9, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/(c\/((c**(-3)*c)\/c))))\/c**(-8))**(-31\/4) assuming c is positive.\nAnswer: c**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 510295 is divided by 101?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 - s + 1. Let y = 15 - 18. Let p(q) = 8 + 0*q**2 + 2*q**2 + 0*q - 2*q - 4*q**2. Let g(x) = y*v(x) + p(x). Calculate g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2120 (base 7) to base 11\nAnswer: -621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*o + 4*s - 107521, 106701 + 757 = 5*o - 3*s. Is 259 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1446 - -416523220.\nAnswer: 416521774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -27 * -0.205\nAnswer: 5.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.5 + -3. Let l be 4\/(-6)*4\/(-8). Let k = -11\/15 + l. What is the nearest to k in -0.4, d, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 + 2*h**2)*(-4*h - 3*h + 3*h) + 80*h**3 - 10*h**3 + 104*h**3.\nAnswer: 166*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -0.1 + -11.85\nAnswer: -11.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 24 = 1. Let b = t + 2. Suppose -5*v - 2*l = -33, -v - 11 = -3*l - l. Put v, b, 2 in decreasing order.\nAnswer: v, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (52\/91 - (-5)\/28)\/((-132)\/(-512)). Determine a, given that -8\/11 - f*a - 2\/11*a**2 + 10\/11*a**4 - 50\/11*a**5 + 82\/11*a**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*k**2 + 7 - 20 + 36 + 40*k**2 + 390*k - 390*k - k**2 + 2*k**2 - 3*k**2 + (2 - 1 + 1)*(2*k**2 + 3*k**2 - 3*k**2).\nAnswer: 44*k**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/(-9) - 6\/(-27))*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.47 plus 57592?\nAnswer: 57603.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 426*k - 99. List the prime factors of t(2).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 34694*m**5 - 2*m**3 + 3*m**2 - 1732232*m?\nAnswer: 693880*m**3 - 12*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -19*r + 10*r. Is ((-12)\/r - -2972) + 7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n + 15 = n. Let a(d) = -d**2 - 4*d - 4. Let c be a(n). Suppose -2*h + g - 3 = 3*h, -3*g = -2*h + 4. Is c not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 57988*l = -57983*l - 63, -2*b + 4*l = -12 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**3 + 5*q**2 + 5*q - 5. Let d be u(5). Calculate the common denominator of (-42)\/(-16)*d\/(-6) and ((5499\/54)\/(-47))\/(1\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 331293\/2 - 165504. Suppose 25\/2*s**5 + 0 + 0*s - 45*s**2 - 80*s**4 + l*s**3 = 0. What is s?\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5976004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1261 + 836. Let a = s + 433. Calculate the remainder when 38 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10834643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -510*j = -501*j - 5004. Calculate the remainder when j is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(891) + sqrt(891) + 4) - -2*(-2*sqrt(176) + sqrt(176)).\nAnswer: 24 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*g + g - 8*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1401 is divided by 134.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-32)\/42*15\/20. Which is the smallest value? (a) o (b) -0.01 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 3, 1570, 5 in decreasing order.\nAnswer: 1570, 22, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, k: 6}. Give prob of picking 2 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2371, -1, 67, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1416 + -1410. Solve -m*z = 24 - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/18)\/(9\/162)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*b + 25 + 8*b - 17*b + 2*b**2.\nAnswer: 2*b**2 - 2*b + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2. Let b(y) = -9*y. Let g(a) = 19*a. Suppose 0*h - 3*h = 12. Let d(i) = h*g(i) - 9*b(i). Calculate l(d(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2\/3, -5\/23, 3.1, 5.\nAnswer: -5\/23, 2\/3, 3.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 10 + -62 + 59.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v + 4*v - 3*v)*(-6152*v - 1588*v + 1851*v).\nAnswer: 11778*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -3*n + 51, -6*i - 31 = -3*n - 4*i. Let g = 134 + 9. What is the highest common divisor of g and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 108 - 21 - (5 + -7 + 6 + (-18 - -5)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*n**3 - 16*n**3 + 360*n**3.\nAnswer: 357*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/((u*u\/u**23)\/u)))\/(u**(-17)\/u*u) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.22 - 11.22. Let n = w + 7. Let y = -1 - -1. Which is the smallest value? (a) n (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 821382983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7 (b) -123 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3. Let j be h(1). Let n(u) be the first derivative of 65*u**4\/4 - u**3\/3 - 547. List the prime factors of n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -12*(6\/(-27) + 2360\/(-720))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -66 - -65. Suppose -2*x + 4*m - 21 + 7 = 0, -x - m + 5 = 0. Which is the fourth biggest value? (a) 0.7 (b) -4 (c) x (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b**5\/2 + 853*b**4\/2 - 1699*b**3\/2 - 2557*b**2\/2 + 1700*b + 1702 = 0.\nAnswer: -1, 2, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17708 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 270\/89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - s**3 + 2 + (5 - 2 - 1)*(s**3 - 3*s**3 + 3*s**3)*(-1506 + 360 - 1129).\nAnswer: -4551*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 15\/9)*27. Suppose -3*f - 2*m - m - 18 = 0, -4*m + g = -2*f. Let z be 1*-1 + 0\/f. Put -2, 5, z in decreasing order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14 + -5. Suppose -3*h - f = r, -3*r + 0*h + 25 = -4*h. Suppose -r - 37 = -u. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 7, m: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 186577161 is divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29 - 26 - (-3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 + 2*z**2 - 4*z + 5. Let j(p) = p**3 - 2*p**2 + 2*p + 2. Let c(x) = -x**3 + 3*x**2 + 2. Let t be c(3). Let d be j(t). Is n(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, p: 2, z: 4, l: 1, d: 1}. What is prob of picking 1 p and 1 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 - 7. Suppose v*n = 19 + 1. Suppose b = -b + n. Solve 0 = -b*w + 14 + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of 13*u**4\/6 + 5*u**3\/6 - 15*u**2 + 4. What is the derivative of v(y) wrt y?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1568912.\nAnswer: 2, 98057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 82 or -324.438?\nAnswer: -324.438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**2 - 9109256*q + 5186159054596.\nAnswer: 4*(q - 1138657)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 7*b**4 + 2*b**3 + 8*b. Let y(c) = 36*c**4 + 11*c**3 + 40*c. Let u(l) = -11*w(l) + 2*y(l). Find the second derivative of u(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of -y**4\/2 - 10*y**3\/3 - y**2 - 5*y - 49. Let l(b) = -b**3 - 5*b**2 - b - 2. Let j(x) = -5*l(x) + 2*n(x). What is j(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11 + -8. Is 2*b\/(-6)*-8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 22\/18 - 6\/27. Let p be 114\/12 + 6\/(-4). Let b(f) = -4*f**3 + 7*f**2 + 2*f**3 - p*f**2 + f**3. Let c(x) = 4*x**3 + 5*x**2. Give w*c(j) + 5*b(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*k - 148*k - 27 + 52*k + 45*k + 18.\nAnswer: -k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -421 divided by 11\nAnswer: -421\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1315023 or -1315024?\nAnswer: -1315023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 79 + -78.922. Let t = p + -38.078. Let z = -38 - t. Which is the smallest value? (a) -5 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -235365 by 39.\nAnswer: -6035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 33194563*z**2. Let f(i) = 14*i**2. Calculate c(f(u)).\nAnswer: 6506134348*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**2\/k**(4\/3))\/(((k*k**(-9))\/k)\/((k\/((k*k**7*k)\/k*k*k))\/k)) assuming k is positive.\nAnswer: k**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 0)*(542*v - 334*v - 325*v + (1 - 1 + 2)*(2 - 2 - 2*v)) to b + p*v and give p.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -220390456 + 220390456 - 2*u**2. Let a(x) be the third derivative of 43*x**5\/12 + x**2. Give a(y(r)).\nAnswer: 860*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.3, -11\/3, -3, 2?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 37880, 37661, 37442, 37223, 37004, 36785?\n\"Answer: -219*b + 38099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (25\/(-10)*2\/10)\/2. Put 3\/13, r, -0.5 in descending order.\nAnswer: 3\/13, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**0\/w)**(-4\/15)\/((w**(-1\/6)*w)\/w**(-5)) assuming w is positive.\nAnswer: w**(-167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/((-26)\/27) - 1. Let q = o - 180\/143. Which is the smallest value? (a) 0 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -26716 - -534619\/20. Let x = y + -67\/5. Let w = -168497\/22 + 7663. What is the common denominator of x and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*k**3 - 212*k**2 - 77*k + 5699?\nAnswer: 6*k**2 - 424*k - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 82300 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 32354.16 micrometers in kilometers?\nAnswer: 0.00003235416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11761*z + 23425*z - 11740*z + 1596 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2\/11 + 1559774*g\/11 - 45235128\/11.\nAnswer: 2*(g - 29)*(g + 779916)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1000 - -22?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in eleven tenths of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1762\/7 + 0 + (-238)\/(-833) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b**2 - b. Let f be d(1). Let o = -1 + f. Solve 2*t + t - 15 = o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 106*s + 639. Let j be u(-6). Solve j*m + 15 = 2*w, m + 5*w - 4 = -9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -8*n**3 + 14*n**2 - 11. Let u be (-11)\/(-1) - (4 + -4). Let l(i) = 3*i**3 - 5*i**2 + 4. Give u*l(r) + 4*c(r).\nAnswer: r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 957888565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 + 18. Let i be (12\/21*1)\/j. Put i, 2\/3, 4 in descending order.\nAnswer: 4, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 16\/(2 + -6) + 136. Is (i\/(-24))\/(1\/(-86)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*p - 11 = 13*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 + 28*j + 17. What is a(-34)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 321889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -102 - -145. Let k(q) = -5 - 3 + 6 + z*q**2 - 45*q**2. Let j(u) = u. Give j(f) - k(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2183466 is divided by 1736?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 220000*l + 7040007. Determine x(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 3, c: 1, n: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*k = -89*k + 49032. List the prime factors of k.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -42693287132 - -2521892471216153\/59070. Let i = s - 3\/1969. What is the common denominator of i and -91\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1036 and 1.3739085.\nAnswer: 1.2703085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -0.01 (b) -0.3 (c) 11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -n - 82, 2*n = 3 + 1. Is 1 - 14*b\/(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -154115 + 2?\nAnswer: -154113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -801*c. Let h(w) = 101*w - 3. What is h(l(z))?\nAnswer: -80901*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*w**2 + 3*w**2 - 3*w**2)*(80*w + 77*w + 3 - 166*w)*(-17*w + 33*w + 3 - 12*w) in the form m*w**3 + x + i*w + l*w**2 + u*w**4 and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let m be 34\/9 - (-18)\/81. Suppose s - 27 = -3*j + m*j, 2*s + j - 66 = 0. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*t + 3777 - 3777.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-75)\/(-15) + 348*-19. Let q = -3521 - s. Let x = -991 + q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(((-57)\/152)\/(11\/(-8)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 59, 3, 9, -2, -3 in ascending order.\nAnswer: -3, -2, 3, 9, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**1)**16*q**(-6)\/q**2 assuming q is positive.\nAnswer: q**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 706 and 293682?\nAnswer: 207339492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 114548 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 - 215?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 322\/21 - 2\/6. Suppose 0 = 11*g - 14 - 19. What is the highest common factor of g and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*v = -6*v - 8. Solve -6 = 4*a + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 68 + -66. Suppose 0 = -k*f - 2*l - 3*l + 72, 3*f - l = 74. Suppose 2*g - 2*b = 3*b - 8, f = 5*g - b. Solve 3*u + 3*p = g, -u = -0*u + 4*p - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {h: 1, x: 4, t: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 11, 4, -6, 0, 1 in decreasing order.\nAnswer: 11, 7, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 14*m = 18. Which is the closest to m? (a) 2\/5 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3264)\/34 - -79 - (-224)\/13.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.051*0.785016.\nAnswer: -0.040035816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 47 plus -4.5?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -140 divided by 824?\nAnswer: -35\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 154 + 24. Let s = q + -178. Which is the second biggest value? (a) s (b) -2\/7 (c) -0.7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 7*q**2 + 19*q - 53. Let v(i) = -4*i**2 - 10*i + 32. Let a(r) = -5*v(r) - 3*y(r). Let l be (-1*6)\/((-6)\/(-8)). Give a(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 - -1. What is the smallest common multiple of 12 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-q + q + 5*q)*(-91*q**2 + 56*q**2 - 32*q**2) as d + g*q**2 + v*q + t*q**3 and give t.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1522 or 1523?\nAnswer: 1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iwwwwiiwiwwi. Give prob of picking 1 w and 1 i.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-37)\/(-555))\/((-2)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 101445490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 7. Suppose -5*s - 2 = -i*s. Is 2 + (s - -24) + 0 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -2*r**2 + 6*r + 16. Suppose 9150*n - 132 = 9128*n. Let a(f) = 3*f**2 - 11*f - 31. Give n*a(m) + 11*q(m).\nAnswer: -4*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -6*m**3 + 29*m**2 - m + 6. Let y(v) = 2*v**3 + 2*v**2. Determine s(a) + 4*y(a).\nAnswer: 2*a**3 + 37*a**2 - a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k**3 - k**2 - 2*k + 2. Let p be t(2). Solve 3*z + p = -2, -w + 3*z = -13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -9*l - 103. Suppose -133*w = -129*w + 44. Let y be k(w). Is -27\/7 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 2*t + 375 = 5*w, -2*t - 75 = -w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 324714 is divided by 324675?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(171) + -5 + (2 + sqrt(2736) + -4 + sqrt(2736))**2.\nAnswer: -93*sqrt(19) + 10940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0.01, 155, 2\/15, -2.133?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 + 31. Calculate the remainder when 46 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -3*l + 3. Suppose a = -a + 2. Suppose 0 = 2*s + 4 - 14. Let q(i) = a + s*i - i - 5. Calculate -6*h(p) - 4*q(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -62*y - 178. Determine i(-1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 4*m**2 + m - 1. Let t be b(1). Solve -s - 12 = -t*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -14*i**3 - 11*i**3 + 7*i**3 + (2*i**2 - 1 + 1)*(4*i - 4*i + 2*i) + 2*i**2 - 2*i**2 - i**3 + 2*i**3 - 2*i**3 + 2*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -34 - (29 - (7 + 28))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3.838685 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 304536862, 609073722, 913610582, 1218147442, 1522684302?\nAnswer: 1827221162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h = -5*o - 1 - 127, o + 4*h - 23 = 0. Suppose -5*j + 4*y + 10 = 0, 2*y - 4 = -4*j + 2*j. Sort j, 1, 0, o.\nAnswer: o, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15592 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 AM and 4:30 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 1\/324, 3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.3 or 1477?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10531508 to the nearest integer?\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/7140 and -74\/45.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - x - 32 = 0. Let b = -6 - x. Suppose 0 = 3*j - 4*u - 35, b*j + 3*j - 5 = -4*u. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**3 + 244*i**2 - 2343*i + 712. Give s(234).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 681405 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 770\/(-165)*(-6)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**(1\/9)*l**6 assuming l is positive.\nAnswer: l**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be -18 + (1 - (-2 + 3)). Let i = q + 2. Calculate the common denominator of (-4)\/i - 301\/36 and -32\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 6*g**2 - 770*g + 21452. Calculate v(87).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-8) - (34\/(-8) - -2). Is w\/(-4)*-4*50 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 559 and 143?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111 + -1010011100101000?\nAnswer: -1010011100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -236 or -246?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 + 14. Let y be z(3). Solve -3*v = -6*v + 3*f + 6, 4*f = v - y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of -n**4\/4 - n**3\/3 + 4*n**2 + n - 334. What is z(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*b**3 + 460*b**2 + 8565*b + 8100.\nAnswer: -5*(b - 108)*(b + 1)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66 + -0.112.\nAnswer: -66.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 3*j - 14, -5*j = 4*c - 37. Solve p - 2 = -d + 4*d, 2*d - 3*p = -c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c = 9 + 19. Suppose -24 = -6*u + 3*u + 3*g, u - c = -3*g. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 - 31*y + 31*y - 5*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25467, -50933, -76401, -101871, -127343, -152817, -178293?\nAnswer: -203771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -11.87 * 1.9.\nAnswer: -22.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -5*j + 24. Let x be (-28)\/j*(-1)\/7. Is 0 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = -3*a - m, -m + 49 + 38 = 5*a. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i + 2, 15*n = 2*i - 3*i - 78 + 181 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 - -1. Let g(o) = 2*o**2 - 4*o - 9. Let i be g(7). Let v = -428\/7 + i. Sort v, p, -2\/5.\nAnswer: p, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(12) + sqrt(108))*-6*-6.\nAnswer: -36 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 7*g + 31. Let f = -9120 + 9122. Let k(b) = -3*b - 15. Determine f*u(i) + 5*k(i).\nAnswer: -i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 - 2*b - 9. Let a be x(-4). Let t = a + 14. Does 26 divide (t\/(-2))\/(6\/328)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u - 1 + 21 - 10 - 10 - 4. What is i(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -6 (b) -0.066 (c) -7.6 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 182 = 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 20 = -4*c. Let f be c\/(15\/42)*1. Let q = -70 - -112. What is the highest common divisor of f and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -1344*x - 10020. Give p(-7).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (t - 4*t - t)*(-3 + 1 + 0)*(-2 - 1 + 9).\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 4, g: 2, l: 6, q: 1}. Give prob of sequence xx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/6, -0.0182, -2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -118, -230, -332, -418, -482?\n\"Answer: n**3 - n**2 - 116*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 405 - 153. Let x = 251.6 - k. Let n = -4.8 + 5. Which is the nearest to -0.4? (a) n (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -14, 0.1, -31, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 2*c - 6560. Let a(x) = x. What is k(a(b))?\nAnswer: 2*b - 6560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*k**2 + k**3 + 36 - 18*k + 4*k**2 - 20*k**2 - 12*k.\nAnswer: k**3 - 9*k**2 - 30*k + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 138*x - 98*x - 216720. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37796 - 9346 = -18*r. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.5 - -0.3. Let h = 13 + -22. Let l = 2643.9 + -2644. What is the nearest to l in 3, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.3 - 2.2. Let h = 1 + -0.5. Let j = d + h. Which is the second smallest value? (a) j (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 660\/(-18)*-1*(-24)\/(-220)*11.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-38)\/(-152)*(-7)\/((-63)\/(-60))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1577, -4964, -10607, -18500, -28637?\nAnswer: -41012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -7 - (-2 + 3 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - (1 + (-3 - 0)). Suppose 9*r - 6*r + 12 = 3*o, 20 = 5*o + r. Solve b*p - 3*p + 2*j - 7 = 0, -4*j = 4*p + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - 4. Let j be -4*(r - 3\/3). Is j + 3\/((-3)\/(-2)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 30 - -1. Suppose 2*q = 261 - v. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31 divided by 381264?\nAnswer: -31\/381264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -3*g + 5*g + 10, 4*g = 3*o - 6. Let u be 3 + (o + 5)\/(-3). Solve -3*n = u*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -4*a, 0*v - 3030 = -4*v - 2*a. Suppose 1 = -h - r + 16, -2*h = 4*r - 30. Calculate the remainder when v\/13 - 6\/39 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 333 = -1997. Let j = -465 + o. Solve 0 = -11*p + 10*p - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.013 - -0.013. Let i = 0.2 - 3.2. Let q = 15 - 12. What is the nearest to -2\/19 in m, q, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -3340 and -2433303.\nAnswer: -2436643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 + 374451*w - 3370302.\nAnswer: 3*(w - 9)*(w + 124826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 45, 99, 169, 261, 381, 535, 729?\n\"Answer: r**3 + 2*r**2 + 41*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*b**6 - 936513*b**5 - 28930156*b**2.\nAnswer: 720*b**3 - 56190780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 7*i. Let k(f) = -2*f**2. Let y = -29 - -33. Let b(t) = -2*t**2. Let j(o) = y*k(o) - 3*b(o). Give z(j(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*s**3 - 7*s**2 + 17*s**2 + 17*s**3 - 12*s**2.\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bsssdssswssdesjbwsw. Give prob of picking 2 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 21*c**5 + 5*c - 5*c - 2*c**5 + 2*c**5 + c**5 + (-4*c + c + 4*c)*(4*c**4 - 2*c**4 - c**4) - 3 + 3 - c**5.\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 142 and 44.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 20433822 plus 4.7707?\nAnswer: 20433826.7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 - -18. Suppose i = 5*a - 5*q - 415, 5*a = a - 5*q + 287. What is the remainder when a is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 583, 581, 579?\n\"Answer: -2*v + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand g**5 + g**2 - g + g + (4*g**3 + 0*g**3 - 6*g**3)*(8*g + 10*g**2 - 8*g).\nAnswer: -19*g**5 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6387*d - 149274 = 164660 + 56512 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g**2 + 87*g + 42. Let m be j(44). Sort -38, 12, m.\nAnswer: -38, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 151*q + 19*q + 3630 = 5*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 296 - 2*q**2 + q**3 + 395 - 5*q + 159 - 1131 to the form h*q**3 + y*q + w + j*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 8*w - 6. Let a(u) = -u + 1. Let g(l) = -6*a(l) - o(l). Let v be 2\/1 + 2*-1. Let x(c) = 0*c + v*c + 2*c**2. Determine x(g(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-9)\/(-4))\/1 - 3\/12. Suppose 0 = -7*w - 26 - c. Sort 2, -1, 1, w.\nAnswer: w, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26828\/(-114)*6\/(-4) is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3049329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/14 - 183\/1092 and 79\/10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -3449*q - 2293. Let c(r) = -3482*r - 2293. Let u(g) = -4*c(g) + 3*s(g). Differentiate u(w) wrt w.\nAnswer: 3581","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 6071469, 12142937, 18214405, 24285873?\n\"Answer: 6071468*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1263586 = 98*h - 348906. List the prime factors of h.\nAnswer: 2, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 192094920 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 5*v**2. Let r(m) = m + 61. Give r(a(g)).\nAnswer: 5*g**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 5*w - 7 = 0, -4*b + 10 = -b + 2*w. Suppose 0 = -5*x + b*p + 142, 2*p + 30 - 4 = x. Let m = x + 16. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1.1, 5\/3, -2\/5, -0.18 in ascending order.\nAnswer: -2\/5, -0.18, 1.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4124.357ml in litres?\nAnswer: 4.124357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 52188 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 + 8*c + 2. Let f(a) = -3*a**2 - 16*a - 3. Let t(x) = -5*b(x) - 3*f(x). Calculate t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/761 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -179140 - 179147 + 2*j + 358277.\nAnswer: 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 + 13*r**2 - 15*r - 9. Let n be u(-14). Suppose 0 = n*m + 2*m - 7. Let d = 1 - m. Which is smaller: d or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 - 8*f + 3. Give m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 900 a factor of 6301270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/10)\/((-7)\/(-35)). Solve 13 = 4*j + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 381085*a**2 - 381085*a**2 - 1376*a**3 - 26*a + 26*a.\nAnswer: -1376*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 118 divide 31342216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 11844.666 months to years.\nAnswer: 987.0555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 22 = 13. Solve -5*u + 4*x - 2 = 0, -4*u - 4*x - c = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -978, -925, -828, -681, -478?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 374402332 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 20414739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11126.\nAnswer: 2, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j - 9. Suppose 4*g + 22 = 2*t, -2*g - 3*t - 19 = -4. Let z(l) = -l - 10. Calculate g*p(f) + 5*z(f).\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 10 = 2*k, 3*x - 5 = -0*x - 4*k. Is 18 a factor of (-294)\/(-16) + -3*x\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 70 * -4.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -2*l**3 + 5*l**2 + 3*l + 9. Let t(k) = 5*k + 68. Let c be t(-13). Let s(x) = -x**3 + 3*x**2 + 2*x + 5. Let q(h) = c*d(h) - 5*s(h). Determine q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16.879608 months in years?\nAnswer: 1.406634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -24324 - 36942 + 8869 = 2130*x + 9373 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/89 (b) -0.2 (c) -12 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 46412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of -x**3\/2 - 3*x**2 - 12*x. Let p be q(-3). What is the second derivative of -14*d - 6*d + p*d**2 - 25*d**2 - 15*d**2 wrt d?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of -28*q**6 + q**5\/30 - 5*q**4\/12 - 14*q**2. Let j be u(5). Round j to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5.1, 2\/5, 31\/135, 1\/5, 1 in decreasing order.\nAnswer: 1, 2\/5, 31\/135, 1\/5, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4732.236 - 4732.2. Which is the second smallest value? (a) 2 (b) -37 (c) v (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1567, 9391, 22431, 40687?\n\"Answer: 2608*k**2 - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 15*v - 4. Let h be r(2). What is the greatest common factor of h and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**14\/i**10)\/(i**(-30)\/i*i**(-19)))**(6\/25) assuming i is positive.\nAnswer: i**(324\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -161, -173, -187, -203, -221, -241, -263?\n\"Answer: -d**2 - 9*d - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36 + -32. Suppose -2*n = -5*g + 14, 5*n = -z*g + 1 + 30. Let d(t) = -t**3 + 2*t**2 - 3. Give d(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, b: 3, g: 1, k: 5, e: 3}. Give prob of sequence bk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-20952)\/144*76\/(-6)?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1426 - 590 = 72*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -108, 3?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -55, 1\/4, 4.\nAnswer: -55, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 - -17. Factor 36*m**4 + 15*m**2 + 2 - 16*m + y + 48*m**3 - 23*m**2.\nAnswer: 4*(m + 1)**2*(3*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 242*n - 453*n - 64144. Is n >= -309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 50816729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b - 2*b = 107100. Round b to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m - 218 - 61 = 0. Let g be m\/(-5) + ((-6)\/(-10))\/(-3). Solve -d - g = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10512559766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 2)))*-4)**2.\nAnswer: -704*sqrt(11) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, g: 1, z: 2, j: 2, m: 1, a: 2}. What is prob of picking 1 z, 1 j, and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) 2\/5 (b) 353 (c) -158 (d) 0.01 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 + 34*c**2 + 57*c - 70. Give m(-32).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -7, -212, -559, -1048, -1679, -2452, -3367?\n\"Answer: -71*l**2 + 8*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2852 = 15*q + 2792. Solve t = -q*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 140 + 5?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 52660342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.349 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q + 1 - 2, -4*q = 3*l - 34. Suppose 0 = 4*v - 17 + 1. What is the remainder when l is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**3 + 16*p**2 + 61*p + 5. Calculate the smallest common multiple of v(-7) and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 2*p + 3*l - 28, 2*p - 5*l = 5. Suppose 4*z - 4 = 0, -3*x - 3*z - 15 + 39 = 0. Calculate the lowest common multiple of x and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -59352.018002353 + -0.15.\nAnswer: -59352.168002353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((-2 + sqrt(17) + sqrt(85)\/sqrt(5))**2 - sqrt(17)).\nAnswer: -9*sqrt(17) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 1571 divide 53246850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = 6\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 5) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -3*z**3 - 5*z**2 - 12*z - 22. Is 32 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -5*q**2 + q - 693. Let r be f(0). Let k = 708 + r. Solve -l = p, -k = l - 3*p + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1035.3 + 354?\nAnswer: 1389.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 396716 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 67830 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.06 + 44.06. Let i = 40 - s. Sort -17, i, 2\/9 in decreasing order.\nAnswer: 2\/9, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a (base 12) to base 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3020 (base 4) in base 7?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 33*d**3 + 7*d**2 - 11*d. Let b(a) = 49*a**3 + 10*a**2 - 16*a. Give 5*b(p) - 7*j(p).\nAnswer: 14*p**3 + p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - (-13 - -6) - 31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 374*d**4 + 16825*d**3 + 252225*d**2 + 1258875*d - 16875 = 0. Calculate d.\nAnswer: -15, 5\/374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 - 11*g - 12. Let c be u(-8). What is the common denominator of (-4)\/4*58\/18 and ((-1)\/(-2))\/(c\/66)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n = -2*x - 58, 0 = -603*n + 600*n - 4*x - 46 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -3*g + 5. Suppose y = -g + 6. Let w(q) = q - 2. Let l be w(2). Solve l*h - y = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 617, 1026, 1343, 1568?\n\"Answer: -46*l**2 + 547*l + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 9 - (0 + 0 + -2). Suppose 3*s - 19 = c. Suppose 2*l - 3*l = -s. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 6122598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 4*d + 3. Suppose d*f = 8*f. Suppose 5*c = 2*u - 14, f = -u - 3*c + 2*c. Solve -y + 8 = -u*j, 1 = y - j - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-115)\/69 - (-28)\/6. Let i(m) be the second derivative of 0 + 6*m - 1\/12*m**4 - 1\/100*m**5 - 4\/15*m**k - 2\/5*m**2. Factor i(l).\nAnswer: -(l + 1)*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 4*b**2 + 100700*b + 704704 = 0.\nAnswer: -25168, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v + 5*q + 3 - 28, -4*v + 15 = 3*q. Let a(t) = t**3 + t**2 - t - 27. Determine a(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83, -60, -21, 34, 105, 192, 295?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2. Let a(g) = 15*g**2 + 2. Calculate b(a(z)).\nAnswer: 225*z**4 + 60*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 - 3*(-16)\/(-12))*-2. Calculate the common denominator of -23*n\/6*(-6)\/(-396) and 26\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j - j - 9*j)*(-1 - 2 + 2)*(-239 - 2805*j + 85 + 77 + 77).\nAnswer: -30855*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -52*(-1*2\/10)\/(6 + (-84)\/15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 + 49 = 190*y - 177*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 131*i + 1841. List the prime factors of k(133).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18436?\nAnswer: 2, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and (1 - (-2)\/(-10))\/(16\/520).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 184 (base 15) to base 4.\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 7 = 2*u, 9 = -3*h - 3*u + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 - 86 = -39*v + p, 0 = 107*v - 103*v + 6*p + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -404 = -21*l - 236 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*x - 117 - 189 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 220665952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -68, 176, 29 in descending order.\nAnswer: 176, 29, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add -100 and 7.7.\nAnswer: -92.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 - 5*f**2 + f + 3. Suppose -15 = 2*t + t. Determine y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -c + 25 + 3, 0 = 5*h + c - 136. Let r(q) = 3*q**3 - q**2 - 2. Let s be r(2). Suppose i + 0 = s. What is the highest common factor of h and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/((-210)\/(-1160)))\/((-9)\/(63\/2))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bzwzwkwzkzzzzzwzz. Give prob of picking 2 k and 1 b.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:51 PM and 5:08 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7769*l - 1278*l + 558226 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1018062 and 49905.\nAnswer: 5090310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 6.737276 milligrams?\nAnswer: 0.006737276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1118 = -5*r + 4*c, 5*c = r - 5*r + 919. Let y = r + -117. Suppose -2*v - 33 = -y. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/2*4\/6 - -6. Suppose 4*x + 5 = -2*s + 3, -4*x - 4*s - 12 = 0. Let h(g) = 3*g**2 + 4*g - 3. Let f be h(x). Solve f + 3 = -n*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes before 1:16 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 81546631 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*v - 94 - 13*v + 7*v + 70 to g + o*v and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 4 - ((-8 - -16) + (-1 - 4 - -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 26*b**2 - 7*b - 2027. Let j(i) = -i. Give s(j(t)).\nAnswer: 26*t**2 + 7*t - 2027","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 0)*(-1210*k**4 - 9*k**5 + 1212*k**4 + 10*k**5 + 60*k**3).\nAnswer: -2*k**5 - 4*k**4 - 120*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -4 + (-2212)\/(-8) + (-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-27))\/(116\/(-522))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from {m: 1, x: 1, r: 2, i: 2, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -414984 - -415025.00024. Let y = g - 41. What is y rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 539096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 23 = -3*g - 3*k, 0 = -5*g + 4*k - 1. Let q be (-3)\/(-2)*(0 - 2). Is (2 - g)\/(q\/177) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3585*l**3 - 36 - 1790*l**3 - 1792*l**3 + 2*l**3 - 3*l**3 - l**3 + (l**2 + 0 + 0)*(0*l - 3*l + 5*l) - 4*l**3 + 0*l**3 + 3*l**3.\nAnswer: 2*l**3 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 96383 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**2 - l - 1. Let v be x(-1). Let b(u) be the third derivative of u**6\/6 + u**4\/24 + u**2. What is the remainder when b(v) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = v + 43. Let r(i) = 7 + v + i - 20. Let y(s) = -s**2 + 2*s - 1. Let h(p) = -4*r(p) + y(p). Calculate h(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4865\/(-3475)*5\/28.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(66) - 1*(sqrt(66)*-1 - sqrt(66) - sqrt(66)) - (sqrt(66) + sqrt(66)*-2)*5)\/(1*(sqrt(54) + sqrt(6)) - sqrt(36)\/sqrt(96)).\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f = 7*k - 43, -4*f = -k - 19 + 56 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 17*z**2 + 10*z + 1. Let n(x) = -18*x**2 - 11*x - 2. Let v(g) = 3*j(g) + 2*n(g). Does 15 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10141 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 66*77*158\/200739?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (18 - 27) + (-1526)\/(-168). Let p(a) be the third derivative of 5\/6*a**3 - x*a**4 - 17*a**2 + 0*a + 0. Give p(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 115960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**7*a**(-2\/31)*(a*(a*a\/a**(-1\/18))\/a)\/(a\/a**(1\/4)) assuming a is positive.\nAnswer: a**(9197\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 911*b - 10 + 7 + 7 - 3596*b in the form m*b + o and give m.\nAnswer: -2685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.19284945 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 - -0.33765346.\nAnswer: -17.66234654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -3*z**3 - z**2. Let k be y(-1). Let x be 0 - 2\/(-4) - 2\/4. Find the first derivative of x*d**k + 0*d**2 + d**2 - 2 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 376 and 48.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 23329 = -1323*z - 47222 - 1920 - 36015 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 90\/(-105) + (-54)\/(-14). Put -133, 3\/2, l in descending order.\nAnswer: l, 3\/2, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 20 = 4*q. Suppose 15 = -q*m - 9. Let p(f) = -f**2 - 7*f + 3. What are the prime factors of p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 277*o - 638*o - 1 + 364*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1957 by 1.\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 13\/7, -3\/8, -8755, -2 in descending order.\nAnswer: 13\/7, -3\/8, -0.5, -2, -8755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is c6 + -111?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, n: 2, s: 1, w: 11}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c**2 - 3*c**2 - 2*c**2)*(-9 + 5*c**2 + 1 + c - 3*c**2).\nAnswer: -4*c**4 - 2*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 2\/3, 46085 in descending order.\nAnswer: 46085, 2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24186, 96970, 218288, 388140, 606526, 873446?\nAnswer: 1188900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -11004 divided by -14\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**2 + 1. Let z be 4\/(-14) - 132\/(-21). Let v(s) = z + 2*s**2 + 4 - s + 0*s - 3. Let b(w) = -5*q(w) + v(w). Suppose b(r) = 0. What is r?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-9)\/120*(-18 + 22)*(-34)\/(-44) and 19\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -231.7957 - 0.4043. Round f to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (((-74)\/(-13))\/2)\/(0 - -3). Let r = 8\/13 - z. Which is the second smallest value? (a) -2 (b) 4 (c) r (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 4 (c) -2 (d) 2\/13 (e) -8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -78, -17, 144, 453, 958, 1707?\n\"Answer: 8*o**3 + 2*o**2 - o - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -2*c**4\/5 - 3*c**3 + 9*c**2\/5 + 8*c\/5 = 0.\nAnswer: -8, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*s + 5*s - 462 = 0. What is the common denominator of (-4)\/s*36 - (29 + -32) and (-2)\/(-8) - 94\/40?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -10.6768 and -457.\nAnswer: 4879.2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 165.4 - 165.58. Put a, 0.01, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.01, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 958423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 AM and 12:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -46*c**3 + c**2 - 3*c + 6. Let l be d(2). Let s be ((-2)\/4)\/((-26)\/l). Suppose -2*n = -3 - 1. Sort 0, n, s.\nAnswer: s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*j + 48*j + 296 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33480 and 311184?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.7, 24, 1\/22, -5 in decreasing order.\nAnswer: 24, 1\/22, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**3 - 9*l**2 + 80*l - 1707. Calculate a(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1601 + 1605. Solve 3*t - u - 3*u = -8, -8 = -z*t - 4*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 13\/1156, -18, 1, -6, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2)\/8 + (-178)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3)*2 + 4 - ((sqrt(3) - sqrt(3)*-2) + 0)) + -5 + 0 + 6*(2 + sqrt(75)))**2.\nAnswer: 638*sqrt(3) + 2644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 390? (a) -5 (b) -2 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 9*r - 4. Let s be (-64)\/12 + (-2)\/3. Let n be o(s). Let d = n + 60. Solve 4*q + d*c = -0*c + 12, -4*q = -2*c - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 148 divide 860038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i = 3*c + 2, -47 = 2*i - 5*c - 55 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 50*b*h*t - 7*b*h*y + 9*b - t*y + 6 wrt h.\nAnswer: 50*b*t - 7*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -13602542 to the nearest 10000.\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -132\/25 - -37\/25. Let s = j + 309\/80. What is the common denominator of s and 5\/(-15) + 290\/132?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 34 and 980504.\nAnswer: 16668568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1691 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 3 w when four letters picked without replacement from lwwiowwggl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 2*u + 4*u**2 - 6*u**2 + u**4 + 3*u**3 + 4*u**2 to m*u**4 + h*u**2 + q*u**3 + r + i*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2*c + 57 = 0. Let v = 59 + c. Solve -h = -5*h - 4*g + 32, -v*h - 14 = -4*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**2 - 3*m + 4. Let p = 5 + 3. Suppose p*q + 5 = 7*q. Calculate u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81889 is divided by 175?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n - 1. Let b be a(-5). Suppose -b*l + 88 = -3*i, -3*i + 4*i - 104 = -4*l. What is the remainder when 73 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 + 12*i**2 + 7*i - 146. Determine y(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f - o - 4 = 5*f, -o = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2339923417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3ea9c (base 16) in base 5?\nAnswer: 31203133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8310959?\nAnswer: 8310959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, v: 5, u: 3, j: 4}. Give prob of sequence uuu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 2. Let c be (9\/(-125))\/((-57)\/190). Let y = c - 16\/275. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 5*m - 17 = 0, 0 = 2*b - 3*m + 2*m - 7. Let v(i) = -6*i**2 + 4*i**2 + 0*i**b. Let c(w) = 3*w + 0*w + 0*w. Give c(v(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + d - 21, -5*k + 0 + 20 = -4*d. What is the third derivative of -k + 8 - 12*c**3 + c**2 wrt c?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j + 7. Let b(a) = 7*a - 10. Let r(l) = l. Let g(i) = b(i) - 6*r(i). Let m be (27\/3)\/3 - 8. Give m*g(n) - 7*s(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*j = -15*j - 2*c - 1, 0 = -5*j - 4*c - 3. Let i(h) = 4*h**3 - h**2 - h + 1. What is i(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (8\/30)\/((-4)\/(-6)). Let v = 10 + -14. Let b = -0.3 + 0.5. What is the second smallest value in b, n, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46421498.\nAnswer: 2, 23, 1009163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1*(-13)\/(-1 + 2). Let p = -1660 + 2001. Suppose -g*y + p = -2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 + 7*m**2 + 6*m - 1. Calculate c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -1, 3, 3878?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*z + 75*z + 13668 = -265*z - 2797 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*p**4 - 5*p**2 - 5*p**4 - 4*p + 14*p**2 - 3*p**3 + 0*p**4 + 8*p**2 to x + d*p**2 + l*p + i*p**4 + q*p**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/((k*k**1\/k*k)\/k))**(2\/21)*(k*k*k\/k**(1\/9)*k*k)\/(k\/(k\/k**(-1\/2))) assuming k is positive.\nAnswer: k**(97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3 - ((-69)\/(-21))\/1. Is -1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004828 to 4 dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47102 is divided by 2236?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (57 - 39) + -5 + -2 + 2 + -19 - 97\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*s + y, 11 = 4*s + 4*y - 5. Suppose -a + s*a = 0. Let f be -2 + -6550001*(-2 + a). Round f to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1701*x - 33934 + 19819 = 141289 - 12520 for x.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 6*k**2 - 7*k - 4. Let u be x(-5). Let o(a) = -3*a + 8. Determine o(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.122 * -0.5823.\nAnswer: -1.2356406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 36, 74, 100, 108, 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 0*u + 3*u = 0. Let c be u*(26\/4 + -6). Solve -3*z = q + 7, 2*q + 10 = -5*z - c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 150006110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 94 and 18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/73584 and 149\/547728.\nAnswer: 839667024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v + 12. Let a be q(0). Suppose t + a = 13. What are the prime factors of 15*((-2)\/(-6) + t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -12*v - 69. Let y be z(-6). Let i be 1\/((-1)\/2)*-6. Solve -27 = -y*s - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107830 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -66.4 - -60. Let c = -0.1 + k. Round c to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2011 - -504413?\nAnswer: 502402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of z**5\/240 - 17*z**4\/48 + 145*z**3\/24 + 927*z**2. Factor j(x).\nAnswer: (x - 29)*(x - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 4) + 1 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/18 and -25\/744.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 times -222847?\nAnswer: 200562.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1566 rounded to 3 dps?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 24.2 - 28.48. Let x = 0.18 + f. Let m = -4 - x. Which is the closest to 0? (a) m (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20 - -19. Let q(h) = -13*h**3 - 2*h**2 + 1. What is the remainder when 59 is divided by q(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of -110*s**3\/3 - 134. Let f(n) = -n**2. What is q(f(b))?\nAnswer: -110*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 + 39\/4)*(-96)\/(-36). What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 124 = 98. Suppose 0 = p*s - 75*s. Suppose c + 4 = 3*y - 2*y, 5*y + c = 26. Solve s = y*h + 5*n + 25, -3*h + 2*n - 5 = 3*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9100 and 1170?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of n - 1\/54*n**4 - 5 + 1\/27*n**3 + 0*n**2. Let m(i) be the first derivative of l(i). Determine h so that m(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, j: 1, e: 1, c: 1, x: 1}. What is prob of sequence jccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.85246 + 177461.3139.\nAnswer: 177462.16636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5 + -1b72aa?\nAnswer: -1b72a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 12833 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 561762355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3100 - 3112 = 12*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.5 + -3. Let z = -2.5 + l. What is the second smallest value in 1, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of -1\/210*a**6 + 1\/42*a**4 + 1\/140*a**5 + 0*a**2 - 15*a + 0 + 0*a**3. Suppose f(h) = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*k + 5*k. Let o(n) = k*n + 0*n + 4 - 2*n. Calculate o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -12*f**3 - 6*f. Let y be s(-3). Suppose 4*r + 5*q + y = 1087, -3*q = -5*r + 922. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.31 (b) 1\/2 (c) 0.3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) -129 (c) 51 (d) 16 (e) -3 (f) -0.13 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be -5 - (5 - 9) - -27. Calculate the highest common divisor of g and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(-1\/3))\/(p*(p**(-1)\/p)\/p))\/((((p**3\/p)\/p)\/p)\/p**(-1))*(p**(1\/3)*p*p**4)**30 assuming p is positive.\nAnswer: p**(485\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 85\/4 of a century?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 - 89\/2*2. Let g = 248 + -1222\/5. What is the common denominator of i\/8 + 1 - 3 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, m: 4, i: 7}. Give prob of picking 2 m and 1 j.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, s: 1, k: 2, j: 1}. What is prob of sequence kgs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the first derivative of n**2\/2 - 6. Let v(g) = -7*g. Let p(b) = 18*o(b) + 2*v(b). Let i(j) = 1 + j - 1. Determine i(p(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2. Let t(k) = -23147*k**2. What is t(z(s))?\nAnswer: -23147*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be 225\/(-27)*11\/((-110)\/(-6)). Put -1644, -4, b in descending order.\nAnswer: -4, b, -1644","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -144185 times 0.09?\nAnswer: -12976.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 9*q**2 - 30*q + 140. What is the remainder when s(8) is divided by 119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, j: 3, p: 5, r: 6}. What is prob of picking 2 p and 1 r?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 968364 and 17316.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -42.8668 - 0.1332. Let u = 0.76 - 45.76. Let i = q - u. What is the third biggest value in 0.3, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (27 - (-1760)\/(-66))\/(2\/15372). What is the greatest common divisor of 357 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1155*o**2 - 235*o + 3072360 with respect to o.\nAnswer: 2310*o - 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 + 5*j**2 + 2. Let a be s(-5). Let t = -15 + 16. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2374?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*i + 45*i = -14620000. What is i rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 2*n - 6. Let m be p(5). Let a be ((-2)\/m)\/((-3)\/6). Suppose 4*l = -5*y - 6, 5*y = -5*l - 4 - a. Solve 0 = 2*w - l + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(512) - 6*(sqrt(8)\/sqrt(4) - sqrt(2)) - (sqrt(8) + -4 + 1)))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1161 (base 10) in base 5?\nAnswer: 14121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9259 and 32702?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 564814236 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 5 + -4 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50990 is divided by 177?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = l + 33, 0 = c + 4*c - 2*l + 24. Let h = c + 14. Suppose -a - 3*m + h = -0*m, a - 3 = 2*m. What is the remainder when 8 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:01 PM and 9:37 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 1047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4\/605 + -613\/1210. Which is the nearest to z? (a) 1.1 (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 1\/34 (b) 0.2 (c) -0.4 (d) -3 (e) -3\/5 (f) -93624 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -4 + 3 - 2*f + 19*f. Let c be b(1). Let h(d) = d**3 - d**2 - 7*d + 6. Let o be h(6). Calculate the highest common divisor of c and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -7*w**2 + 5*w + 6. Let t be a(-2). Let v = 34 + t. Suppose p - 1453 = -5*q, 0 = -v*q + q + 3*p + 297. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 52243 - 261212\/5. Suppose -3\/5*i**3 - 6\/5*i**2 + 0*i + 0 + b*i**4 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 5*a = -40 - 10, -38 = -2*k - 4*a. Suppose -12*r - 3 = -k*r. Calculate the greatest common factor of 5 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u - 47 + 43 - 41 + 0*u.\nAnswer: -2*u - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 29481598*y + 37928051.\nAnswer: 29481598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of 3\/5*t**5 + 0*t**2 + 13 + 32*t + 0*t**3 + 0*t**4. What is the derivative of f(j) wrt j?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -71 + 72 + (-14)\/(-1 + 3) - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p\/p**(-5\/2))\/p))**(-46)\/(p**(-3\/4)*p*p*p**12) assuming p is positive.\nAnswer: p**(223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -2*l**2 + 13*l + 120278. What is k(-242)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is (-28026)\/(-540) + 5\/(750\/15)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -99 + 6?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 6 = -3*s + 6*s, 4*a - a - 6*a - 75*s + 534 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 84 + -60. What is the least common multiple of y + (-4 - (-3 - 2)) and 55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and 6399465.9434755?\nAnswer: 6399466.3434755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 29955 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnpnppnpppnnnpnnnn. Give prob of picking 2 n and 2 p.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 171879 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-2\/9)*y)\/y*y)**(-2\/33)*y**0\/y*y*y*y*y**9)**24 assuming y is positive.\nAnswer: y**(26024\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 753, 1507, 2281, 3075?\nAnswer: 3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 737 a factor of 6411900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*s**3 + 2*s**2 - 12 - 3*s**3 - 26*s**3 - 7*s**3 + 17*s to the form y*s**2 + x + h*s**3 + k*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.3 + 0.3. Let n be (-1)\/((-4)\/12) - (-165)\/(-57). Let o = n + -25\/57. Sort t, -5, o in descending order.\nAnswer: o, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21 - 15. Let c = z + -4. Let h be c - -1*2\/(-1). Solve h = w + 3*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(117) - (sqrt(1053)*1 + sqrt(1053)))*-5.\nAnswer: -10 + 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/4 + 5991*o**2\/4 - 14967*o\/2 + 5986.\nAnswer: -(o - 5986)*(o - 4)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 371*b + 1 - 372*b - 2. Let s be y(5). Is (-3)\/s*(3 - -635) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001954738 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 28\/693 + (-8)\/36\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 16774, 16781, 16788, 16795?\n\"Answer: 7*f + 16767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5260, -5, -1, 1, 0.\nAnswer: -5, -4, -1, 0, 1, 5260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5797000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 + 41*r**2 + 2*r - 2. Let a(d) = 3*d**3 + 121*d**2 + 7*d - 7. Calculate -6*a(n) + 21*x(n).\nAnswer: 3*n**3 + 135*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001100 + -10000000110?\nAnswer: -10001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 12:15 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of z**3 + 109*z**2\/2 + 125*z + 715. Differentiate g(r) wrt r.\nAnswer: 6*r + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -9*i**2 + 298*i**3 + 305*i**3 - 2 - 602*i**3 + 17*i. Determine t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 4707*x + 3138. Let r(m) = -2*m - 2. Let t(s) = 1569*r(s) + z(s). Let h(n) = -n. What is h(t(a))?\nAnswer: -1569*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7290\/(-340200))\/((-36)\/32)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-1 + -2 + 1 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 43 - 43.28. Let f = h + -0.22. Let u = -0.033 - 0.067. Which is the fourth biggest value? (a) u (b) -3\/4 (c) 1\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8)\/(2*sqrt(4)) - (sqrt(162) + -1)) + 1*sqrt(32)*4)**2.\nAnswer: 15*sqrt(2) + 227\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 4262169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1176 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 - 16. Suppose -2*b - n = -4*y - 4, -5*y = -5*b - 5. Let v be 2\/(-6) - (-13)\/3. Sort y, v, 3 in increasing order.\nAnswer: y, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m**4\/5 - 1536*m**3 - 115992*m**2\/5 - 208928*m\/5 - 20124 = 0.\nAnswer: -13, -1, 1935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -262376588*s**2 - 8774288*s + 3 wrt s.\nAnswer: -524753176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-52)\/208 - 18\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 7 - 4 - ((4 + -28 - -17) + 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -495*b**2 + 2*b - 1. Let c(v) = 20*v + 21. Calculate c(u(h)).\nAnswer: -9900*h**2 + 40*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 7, y: 5, c: 8}. What is prob of sequence ccxc?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 0*l - 3*h = 366, 0 = 3*h - 3. Let o be 59 + -82 + (-7 - 3). Let t = l + o. Calculate the greatest common factor of 60 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 47160076, 94320146, 141480216?\n\"Answer: 47160070*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -35923\/15 + 2395. Which is the closest to 1? (a) 0.04 (b) u (c) 2 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -16301, -16298, -16295?\n\"Answer: 3*w - 16304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -333, -671, -999, -1311, -1601?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 376 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 1.27708 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-12)\/6 + 2*3. Suppose 44 = y*v - 72. Let o = 26 + -11. What is the remainder when v is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -3 (b) -1\/6 (c) -2\/8437 (d) 1\/5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 5*v + 7. Let h be (-2)\/v - 4\/36. Let u = 134 - 133.8. Which is the nearest to -2? (a) u (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 159 + -91. Let q = 34 - l. Let o = q - -34.00039. Round o to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13.92 - -14. Let j = x - 0.07959. What is j rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p - p + 1 + 0*p. Let u(n) = 5*n**2 + 7*n + 2. Let b(z) = -9*z**2 - 13*z - 4. Let f(x) = -3*b(x) - 5*u(x). Let i be f(-2). Calculate d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1028, 4326, 10342, 19502, 32232?\n\"Answer: 71*h**3 + 933*h**2 + 2*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 < 1\/534500610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8016 - -8016.5. What is the smallest value in x, -0.2, 0.4, -1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes before 7:20 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 21550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 3*u - 59, 0*d - 19 = -u + d. Suppose -10*c - u = -5*c. Let z be 6\/9*-15*c. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 0.77284255.\nAnswer: 0.77284255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be -5*(18\/(-10) + 1). Suppose -4*z + 8 = p. Let w(j) = j**3 - 4*j**2 + 2*j - 2. Let r be w(3). Put r, -3, z in descending order.\nAnswer: z, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*k - k - 783. Let c = -97 - k. Suppose 30 = 4*s - c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -74, -50, -2, 76, 190?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2188818 to the power of 1\/2, to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from kgkkykyng.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 41519.57 - 41519.88700848. Let v = -0.317 - g. What is v rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 820150703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 26381, -3 in increasing order.\nAnswer: -3, -2, 26381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.28? (a) -2\/3 (b) -3\/2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -9*t + 30. What is s(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -73*d*v**4 - 29*d*v + 2*d + v**4 + 3*v**3 - v wrt v?\nAnswer: -876*d*v**2 + 12*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -22221101 (base 3) to base 11.\nAnswer: -4995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (77\/(27104\/(-660)))\/(6\/(-8)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/96*-24)\/((18\/(-80))\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0172594297 rounded to 5 decimal places?\nAnswer: 0.01726","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (520\/195)\/((-88)\/(-99)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/6 + -1 + 2 + 3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 19165000 rounded to the nearest one hundred thousand?\nAnswer: 19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 7:15 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 5*h + 7*h - 54, 0 = -2*h + 4. Sort -2, -5, k.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 50. Let c be (-1470)\/z - 4\/(-3). Suppose -5*n + 85 = -3*w, n = -n - 3*w + c. Calculate the remainder when 99 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/5)\/((-32)\/160).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 166, 179, 182, 169, 134, 71, -26, -163?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p - 2*p + p)*(1062*p**2 - 1062*p**2 - 6*p**3).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -51 - 58 - k - 55 - 59 + 224. Let n(v) = 4*v - 8. Suppose -t - 12 = -4. Determine t*s(c) - n(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 1, 1\/3, 9, -56?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(-1)\/g)*g\/(g\/g**3)*g*(g\/(g\/g**(-2\/7)))**(-42))**(-12) assuming g is positive.\nAnswer: g**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = s - q, -5*s - q = -0*s + 48. Is -8 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120577 (base 11) in base 14?\nAnswer: 4d886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 221122101 (base 3) to base 7\nAnswer: 105334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/r**(-2\/15)*(r**(-2\/3)\/r)\/r*((r**(2\/41)\/r)\/r)\/r**14 assuming r is positive.\nAnswer: r**(-10753\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m - 1. Let o(b) = b**2 - 6*b + 6. Let a be o(-6). Let g = a - 66. Suppose -2*h + g = 10. Give w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45691696.\nAnswer: 2, 2855731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 5193 = 5181 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -11154, -44604, -100354, -178404, -278754, -401404, -546354?\n\"Answer: -11150*q**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 37759479 and 50721?\nAnswer: 4611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 - 3)*(2*y - 6*y + 2*y + (-11932 + 570*y + 11932)*(-1 + 1 - 1)).\nAnswer: -572*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -1\/4, -9, -80, -24, -25 in ascending order.\nAnswer: -80, -25, -24, -9, -1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -6. Which is the third smallest value? (a) -2\/5 (b) -0.07 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 AM and 3:05 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 36939\/4 smaller than 9236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55117 is divided by 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12596122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16813 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) -8 (c) -589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5 + (-12 - -7))\/(-2). Solve a = -5*h - 0*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 14\/32 - 9\/(117\/52) and -71\/238?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes after 3:50 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 67 - 76 = 0. Let m(k) = -3*k + 67*k**2 + v*k - 57*k**2. Let h(i) = -24*i. Determine h(m(r)).\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4\/9)\/4)\/((-2)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1657389941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -93*s + 85*s - 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 54 and 2544?\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sum 3 and -0.02486556395.\nAnswer: 2.97513443605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14268 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.03 - 0.95. Let c be 42\/30 - (-2)\/(-5). What is the nearest to q in c, -5, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5564*c**3 + 1248*c**2 + 17853166?\nAnswer: 16692*c**2 + 2496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3013950801?\nAnswer: 3, 1004650267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/3 (b) -5 (c) 0.44 (d) 0.6 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 - 9. Suppose r*t - 5*t = -24750. Let a be t*(3 - 1609\/3). Round a to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8201216?\nAnswer: 2, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 636385709?\nAnswer: 71, 109, 82231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes after 7:17 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 151245 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/16376984 and -23\/9437584.\nAnswer: 556817456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.137 - -0.043. Let j = x - 0.18. What is the second biggest value in j, -0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -434402333 (base 5) in base 8?\nAnswer: -7110532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11835 - 0.065.\nAnswer: -11835.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -101.7 - -106. Let z = 67.3 - m. Let n = 58 - z. Put -0.04, n, 1\/4 in ascending order.\nAnswer: n, -0.04, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 122 - 223352?\nAnswer: -223230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8700 is divided by 925?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3300 or 3303?\nAnswer: 3300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the first derivative of -9*w**3 + 462*w**2 - 204*w + 1128. Determine i, given that s(i) = 0.\nAnswer: 2\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -270878181.\nAnswer: -270878179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + ((-32)\/44)\/(18\/(-99))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f**4 - 354*f**2 + 181*f**2 + 173*f**2 - 2*f - 20*f**3 - 10*f**3 in the form a*f**4 + o*f**3 + j*f + i*f**2 + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/21*9 + 6*(-30)\/60?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -104 + 135. Let o = b - 39. Let s = o - -79. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -24\/55441?\nAnswer: -24\/55441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3549471403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (-4 + 3 + 5) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j - 1. Let m = 51 - 55. Let q(t) = -t**2 - 2*t + 2. Determine m*y(i) - q(i).\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 392.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15 and 25761?\nAnswer: 128805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - -210123103130?\nAnswer: 210123103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -837 (b) 0.4 (c) -34 (d) 0 (e) 4 (f) 1 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.10974 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((78\/(-15))\/((-48)\/(-300))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14355094*q - 14355094*q - 6*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2 + 16278*q - 573405.\nAnswer: 3*(q - 35)*(q + 5461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 - -6 - (-28)\/4. Let r be -4*(-9)\/u - 3. Suppose -11*c + 4*c + 88200 = r. Round c to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38 + 35. Let g(x) = -5*x**2 + 5. Let q(u) = -2*u**2 + 2. Let m(w) = -3*g(w) + 8*q(w). Let z be m(d). What is z rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -83639, -167268, -250883, -334478, -418047, -501584, -585083?\n\"Answer: u**3 + u**2 - 83639*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.018 + 0.025. Let h = r - -0.157. Is h smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 72*s**2. Let r(j) = -28*j. Calculate t(r(o)).\nAnswer: 56448*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1*(-10 - (-2 + 0)). Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1.5 (b) -9\/5 (c) -417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24 - 0. Let x = r - 19. Sort 4, -0.2, x in decreasing order.\nAnswer: x, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -261 - -156. Let q = -104.999999568 - y. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 2*s**2 - 5008*s + 3135008 = 0.\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (8 + -7)\/(1\/5). Solve 4*l**4 + 0*l**4 - 4*l**2 + 4*l**b + 46*l**3 - 50*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(12)\/sqrt(4)*1.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 112 + -100. Solve -2*m - r = -4*t, 2 = -t - 3*m + 6*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most 22\/195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36242060 to the nearest integer?\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 70\/(-16) - (-8 - -10) and -17\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-1)*30\/4. Suppose 3*m - 8*m = -w. Suppose -m*v - 1 = -7. Solve v*d + 0*d = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the first derivative of -2 + 1\/6*u**2 - 2\/3*u + 1\/9*u**3. Factor o(s).\nAnswer: (s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -5*x**2 + 3*x + 2. Let r(a) = -a**2 + 2*a + 4 - 7 + 4. Let y(v) = -o(v) + 4*r(v). Suppose -6 = -2*i + 4*i. What is y(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 AM and 4:07 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -2*x. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3283932.6 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 9075 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -11871, -11858, -11857, -11874, -11915, -11986, -12093?\n\"Answer: -y**3 + 20*y - 11890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 45 - 41. Suppose 0 = -o*w + 2 + 6. Find the third derivative of 13*g**2 + 3*g**w + 22*g**3 - 7*g**3 - 5*g**3 wrt g.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y be (-20)\/5*2\/(-4). Suppose y*o = -0*o. Suppose 4*z = 5*m - 60, o = -6*m + 2*m - 3*z + 17. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -45 - -242. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 2 + -2*(-1 + sqrt(243))**2 + 4.\nAnswer: -479 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 77 or 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 19*m + 1. Let b = 4 + -3. Let j be u(b). Solve 4*r + 2*p = -j, -4*r - 3*p - 24 = p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 AM and 12:40 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1585*h - 654*h - 2 - 726*h to the form v*h + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 8372045 = 3*d - 4*c, -c - 1 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -40840 or -3553042\/87?\nAnswer: -40840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1\/3))**46\/(d*d**(-2\/9))**(-13) assuming d is positive.\nAnswer: d**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 713646 divided by 5802\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22838?\nAnswer: 2, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 - 9*c**2 + 10. Let u be y(-9). Let l = u - 16. Sort -2, 2, l in increasing order.\nAnswer: l, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w - w - w + (0 - 1 + 5)*(2*w - w + w) - 3*w - 2*w + 3*w + 4*w + w - 3*w)*(-1 - 36 - 29 + (2 + 1 - 1)*(-3 - 3 + 4)).\nAnswer: -700*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + 10*h**2 - h - 7. Determine d(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8090, 16178, 24266, 32354?\nAnswer: 40442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3175*n**3 + n**2*o**2 + 5*n*o**3 + 677366*o**3 wrt n?\nAnswer: -9525*n**2 + 2*n*o**2 + 5*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 - -1*(3 - -2). Let g be d\/6 + 95\/(-30). Which is the second biggest value? (a) 0.3 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, i: 2, x: 1, d: 1}. Give prob of sequence dfi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*j - 7*j - 28*j)*(0 + 1 - 2 - 2 - 4 + 4 - 3 - 5 + 6 + (-4 + 3 - 1)*(-1 - 2 + 5) + 2 + 0 + 0 + 4 - 3 + 2).\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - n - 36 = 0. Suppose -n = l - 3*l. Suppose v = l - 5. Solve -4*g + 4*t = -16, 0 = v*g - 4*t + 2*t - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 48075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5435453.\nAnswer: 1213, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 8, -212.3, 10\/9.\nAnswer: -212.3, 10\/9, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 52687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.056897137 and 44932.\nAnswer: 44932.056897137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (50*w + 41*w - 35*w)*(0*w**2 + 2*w**2 + 2*w**2).\nAnswer: 224*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26.3 - 28. Let p = 178 + -179.3. Let u = p + k. What is the smallest value in 4, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3884276 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 15 - 0. Let y(l) = l - 6 + v - 2 + 2. Let c(j) = 9*j**2 + 21*j - 15. Let b(n) = -c(n) + 15*y(n). What is the second derivative of b(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -3*d + 8. Let s be m(6). Let x be 15\/(-6)*12\/s. Let y = 5 - x. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*f + 9*f + 12 = 0. Suppose 3*x = f*x - 11. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 1. Let p(f) = -31*f + 16. Let m(u) = 3*h(u) - p(u). Let v(o) = -15*o + 6. Let l(x) = 4*m(x) + 9*v(x). Differentiate l(w) with respect to w.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/8 (b) -4 (c) -4\/3 (d) -382 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -10113 (base 5) in base 14?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 15 - 39 = -3*v, 4*v + 5*c = 72. What is the greatest common factor of v and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -27*a - 2. Let l be f(-1). What is the highest common divisor of l and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 189.6 + -191. Let v = r + 1.2. Let h = 8 - 20. Does h = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 339.61 * 0.2\nAnswer: 67.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -742 - 1072799950.\nAnswer: -1072800692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = f - 5*n + 13, -2*f = 2*n + 76. List the prime factors of 3\/12 + f\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7\/12 - 85\/12. Let m = -113\/18 - t. Suppose y + 3*n + 6 = 0, 3*n - 9 = -5*y + n. Which is the third smallest value? (a) y (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 2*h**3 - 2*h**2 + 2. Let k be n(-2). Let c = -3 - k. Calculate the remainder when c is divided by 48\/5 - (-2)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wyyww. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-8) - ((-805)\/28 - -8). Sort 7, m, 3 in descending order.\nAnswer: m, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 61196 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 411 = 3*a + 5*u, -5*a + 3*u = -0*u - 651. Let k = -67 + a. Does 47 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ku when two letters picked without replacement from kou?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/5)\/((-24)\/1536*-16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1049780173878 + 0.49?\nAnswer: 0.5949780173878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 118333970, 236667940, 355001910, 473335880, 591669850, 710003820?\nAnswer: 828337790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -4*s**2\/7 - 2432*s - 2587648 = 0.\nAnswer: -2128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 170 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 13*a + 14934 = 30*a. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 169 and 2860?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 less than or equal to 2760\/55513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*((-7)\/(-2) - 5) - 51. Let p = -44 - v. Does p = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the third derivative of 5*f**2 - 1\/3*f**3 + 0 - 1\/8*f**4 + 0*f + 1\/20*f**5. Let v be q(-2). Solve 0 = -4*u - v, -u + 30 - 9 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-300 - 10*w**3 - 3*w**2 + 196 + 12*w**3)*(-4 + 0 + 3) to n*w**3 + h*w + s*w**2 + a and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3*d**2 - 4*d + 1. Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 + 6. Is 14 a factor of (0 - v) + 108\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -111109 - -17110871\/154. What is the common denominator of 2\/3 and s?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 100 + 308 = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -16 from -1225.\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14175*l*t**2*u - l*t**2 + 610*l*u - 256*t**2 - 9*u + 1909 wrt l?\nAnswer: -14175*t**2*u - t**2 + 610*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 4}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -154113 (base 8) to base 9.\nAnswer: -83853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 116 divide 1482504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 243, -0.7, 1 in increasing order.\nAnswer: -0.7, 1, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 1\/11, -2\/2017.\nAnswer: -0.2, -2\/2017, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1851619, -3702996, -5554373, -7405750, -9257127, -11108504?\n\"Answer: -1851377*j - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n + 2. Let s be u(-2). Find v such that 3*v - 7*v**3 - 6*v**3 + 4*v**3 + s*v**4 + 6*v**4 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 + 3*q**2 - 20*q - 7. Give c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 33*b**3 + 20*b**3 - 86*b**3 - b + 11*b**3 - 2*b**2 in the form o*b**3 + m*b**2 + y + u*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -5598.31587 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 803864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -29, -3 in decreasing order.\nAnswer: -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-6)\/(-7))\/(-8 + 11). Let h = -36216 - -256017\/7. Let k = -360 + h. Which is the closest to -1? (a) r (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 364254 or 364109?\nAnswer: 364254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 8:32 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 - (-2615)\/4)*-4. Let x be (-104834)\/(-40) - (2 - 3). Let s = x + o. Find the common denominator of -51\/14 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 9 and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 5*g - 203, -60 = -4*q - 4*g + 264. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -4.4.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -a37 (base 13) in base 15?\nAnswer: -7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -3. Suppose -b*k + 6 = -k. What is the greatest common factor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) 0.0246 (c) -2\/15 (d) -4 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1388949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6.63 + 0.43. Let r = -6 - i. Suppose -32*w + 4 = 4*u - 27*w, -u + 5*w + 1 = 0. What is the closest to r in -2, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9416814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*w - 25*w = 187. Solve -5*r = -w - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 242 divide 54382102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -809*r - 3*r**2 - 862*r + 3421*r - 813*r + 4*r**2 - 817*r.\nAnswer: r**2 + 120*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*d + 2*j = 5, 2*d + 4 = -2*j. Let t(q) be the second derivative of q**4\/12 - q**2\/2 - 2*q. Determine t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the second derivative of 0*f**3 + 0*f**5 + 0*f**2 + 2\/15*f**6 - 3*f - 2 - 1\/42*f**7 - 1\/2*f**4. What is the third derivative of t(s) wrt s?\nAnswer: -60*s**2 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 117*k**3*p**3 - 105*k**3*p**2 - 2*k**3*p - 2*k**3 + 3*k**2 - 41*k*p**2 - 18601*p**3 + 11 wrt p?\nAnswer: 702*k**3 - 111606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 + 55*f + 1596. Let p be k(76). Which is the smallest value? (a) p (b) 123 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 (base 15) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 3*m - 16. Let t be l(7). Suppose 3*z + 3*h - 12 = t*z, z = -h - 16. Is z greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**7*p**(2\/3)*(p**2)**(-33) assuming p is positive.\nAnswer: p**(-175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/15 and (-1 + 2 - (-252)\/405) + -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 + -12. Let a be ((-7)\/(-14))\/((b\/1612)\/(-1)). Let c be (a + 3)*335\/10. Round c to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2131 + -2118. Solve 17 = c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, l: 2, m: 5}. What is prob of sequence ttml?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 3 - 3)*(-1 + 139 - 3)*(0 + 0 - n**2) in the form v*n + m + x*n**2 and give x.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 - 27. Let r be (-4)\/1 + 2 - g. Let b be (-232)\/r - (-4)\/6. Round b to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*f = 9*f + 15. Suppose 0 = 2*k + 4*q - 34, f*q - 22 = -3*k + 25. What is the second derivative of k*r - 29*r - 15*r**2 + 9*r**2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 543 - 1?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*r + r - 3*r = 13*r. What is l in 0*l**4 + 0*l**2 - 1\/6*l - 1\/6*l**5 + 1\/3*l**3 + r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.62 + -0.1?\nAnswer: -7.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q - 139. Let d be f(0). Suppose 0 = -l - 4, -p + 2*l + 87 = -64. Let u = d + p. What is the third biggest value in -3, u, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 23738564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 55 = 7. Calculate the common denominator of -97\/6 and ((-8)\/h)\/((-11)\/(-183)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3309*p = -3442*p + 1361 + 900 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.48 + 1.68. Let g be -4 - ((-111)\/27)\/1. Let m = 0.4 - 0.38. Which is the closest to m? (a) z (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 15*q**2 - 150*q + 4. Let i be d(10). Solve -34 + 14 = i*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**2 - 4*a**2 + 0*a**2)*(-160 - 523 - 116).\nAnswer: 1598*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q + 20. Let d be r(-9). Let y(h) = 13*h + 15. Let j be y(d). Let x = 105 + j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -5.166134 and -82592?\nAnswer: 82586.833866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 5*d - 98, 5*b - 5*d + 567 = 47. Let r = -98 - b. Solve -20 = -r*j - 0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**(-1\/11)\/c)\/c)\/c)**(-8\/3) assuming c is positive.\nAnswer: c**(184\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o + 3. Determine n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -41) + (-137 - -127).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 189683941 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 + 312\/40)*(-30)\/(-84)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is (3 - 790\/4)\/(40\/(-3760)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1088235, -1088234, -1088233, -1088232?\nAnswer: -1088231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-2*sqrt(2) + sqrt(2))**2 + 3 + ((sqrt(20)*-3)\/sqrt(10))**2)*4*-5 + 4.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 37638796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17655 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the third derivative of -i**6\/120 + i**5\/20 + i**4\/24 - i**3\/6 + i**2. Let m be (-15)\/(-6)*90\/3. Let p be 2\/9 - m\/(-27). What is d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -3*i**3 + 4*i**2 + 3*i + 3. List the prime factors of a(-3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3964 + -0.5.\nAnswer: -0.1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5705099*b - 4951208.\nAnswer: -5705099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 - -5462616216?\nAnswer: 5462616224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-96*n - 72*n - 9*n)*(13*n + 16*n + 11*n) as g*n**2 + i*n + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 - 5*x**2 - 6*x + 2. What is the remainder when 20\/30 + 10\/3 is divided by t(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 302*d**2*t**3 + 17*d**2*t - 83*d**2 + 24*d + 1 wrt t.\nAnswer: 906*d**2*t**2 + 17*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 19, 0.04, 5, -2\/11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 16*b + b**2 - 10*b - 9*b. Let l(c) = -c**3 + c**2 - c. Let g(z) = 3*a(z) - 6*l(z). Let p(w) = -5*w**3 + 2*w**2 + 2*w. What is 2*g(q) + 3*p(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 86389 - 124389. What is a rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -10*c**2 + 17*c + 454. Give o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 + 12*p + 12. Let j be x(13). Find the common denominator of -2 - ((-556)\/24 - 3) and (-837)\/180*(1 - j).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.2, 2.8, -3, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/5, 1, -45585, -0.23?\nAnswer: -45585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 - 8*x + 4. Let m be w(10). Is (573\/(-4))\/((-6)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k**2 + 330*k - 5*k**2 - 330*k. Let j(v) = -5*v**2. Calculate d(j(r)).\nAnswer: -75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(-2) - (-1580)\/(-8). Let f = -86 - b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 45313*d**2 + 122408*d - 1.\nAnswer: 90626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10658.90258 + -10659. Round z to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2\/241 + 265\/2892. Let l(r) be the first derivative of 1\/4*r**2 + 3 + 0*r - c*r**3. Let l(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - 101110100000111001001?\nAnswer: -101110100000111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 - 1 = -a - 4*w, 0 = -3*a - 3*w + 18. What is the third derivative of 2*y**2 + 2*y**3 - a*y**2 + 0*y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -104.1 - -106.1. What is the fourth smallest value in -0.1, b, 2\/3, 2\/23, -0.6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 2 w when four letters picked without replacement from bwwdwbbkkb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 2247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -10*j**2 + 8*j - 13. Let p(c) = 9*c**2 - 7*c + 13. Let m(t) = 3*p(t) + 2*w(t). Does 3 divide m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-28)\/(-64))\/(-7))\/((-854)\/(-1708))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**2 - 5*n + 5. Let w be m(-5). Suppose 2*y + 5*v = -2*y + w, 0 = -5*v - 15. What is the nearest to -2\/3 in -3, -4\/3, y?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -15.74 times -8001\nAnswer: 125935.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 148, 241, 418, 703, 1120, 1693, 2446, 3403?\n\"Answer: 4*d**3 + 18*d**2 + 11*d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/(-32) + (-264)\/64. Let j be (2 - (-2 - -1)*s) + 2. Suppose j = 5*r - 34 + 9. What is the highest common divisor of r and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 4, v: 7}. Give prob of picking 2 i and 1 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8072)\/(-30270)*(-45)\/(-159).\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.085 in -3, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((16\/(-4))\/4)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 4*s - 21 = 0, 3*s = 2*q - s + 34. Let o = -10 - q. What is the second derivative of o*r + 7*r**3 - r - r**3 + r wrt r?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405) - (-1*sqrt(405) - sqrt(405)) - sqrt(405)) + sqrt(405))\/sqrt(9).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 137? (a) 0.5 (b) 2 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -101*c**2 + 12*c + 9. Let d(s) = -25*s**2 + 3*s + 2. What is 9*d(m) - 2*y(m)?\nAnswer: -23*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - 165\/2*1\/20.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -71 - -62. Let d(y) = -y + 1. Let x(c) = 6*c - 9. What is f*d(w) - x(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -101101010101110001001 (base 2) in base 11?\nAnswer: -925261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of 11*r**4\/12 - 3*r - 20. Let c(o) = o. Calculate c(i(h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i + 4*k = 3*i + 21, 5*i - 4*k - 3 = 0. Suppose 2*n + 6 = 0, -i*n + 141 = a - 3*a. Let z be (-2)\/8 - a\/140. Is z >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1782)*-1 + sqrt(22))\/(sqrt(4)\/(sqrt(4)\/sqrt(2))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -86, -164, -226, -266, -278?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 82 = 10*m + 138, x = m + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.7, 2\/31, -43, 27, 5\/4.\nAnswer: -43, -0.7, 2\/31, 5\/4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 - -12. Suppose 4*h - 9*h + 83 = f*d, 0 = -3*h - 3*d + 57. Suppose 200 = 2*c - 70. Calculate the highest common divisor of c and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -12\/5 (b) -0.2 (c) 320 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 52 - -594. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 96\/(-40)*(5 - 80\/12). Solve a - 15 = f*t, 0 = -116*t + 118*t + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13363 is divided by 1904?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 - -9. Suppose v + c*v = 55. Solve 4*h = 4, 14 = 5*j + 5*h - v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 + 8*o**2 + 7*o + 2. Let k be b(-5). Suppose -3*v + k = 3*v. Let l(x) = -5*x + 18. Let w be l(v). Are w and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -1 + (3 - -6) - (226 + -215)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bvvcbbbbavdvbvbvb. Give prob of picking 2 b.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 37870516 divided by -12?\nAnswer: -9467629\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*n = 5*n - i - 4, -n + 2*i - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 2053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*c + 1112 - 3329 - 12*c + 1113 + 1104.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -212*p - 322 = -258*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 6 + 5 + (-36)\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes after 9:49 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 4528 = 3*z, -11305 = -5*g - 20*z + 15*z. What is the highest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*k - 5*k + 0*k)*(-2 + 1 + 2*k - k)*(2*k**3 - 4*k**3 - k**3)*(-1 + 0 - 1).\nAnswer: -84*k**5 + 84*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**2\/5 + 2832*n\/5 - 8523\/5.\nAnswer: 3*(n - 3)*(n + 947)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**2 + 7*i + 35. Suppose 9*s = s + 88. Calculate q(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/22 and 69\/2950?\nAnswer: 32450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/((-693)\/(-11)))\/((-3)\/108).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (5*l - 4*l - 4*l)*(-321 + 159 - 403) in the form z + h*l and give h.\nAnswer: 1695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 211505, 210628, 209749, 208868, 207985?\n\"Answer: -b**2 - 874*b + 212380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2549475 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 7192*i - 144034 + 676242 = 0 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 11*w**2 + 29*w + 137. What is the units digit of f(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 + s + 3. Let l(v) = 2*v**3 + v + 3. Let a(x) = -2*l(x) + 3*r(x). Let o be a(0). Solve -u - o - 1 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 279000 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16 - 2. Let l be -6*(-2)\/15*35\/h. Suppose -b - 86 = -5*s + 6, -2*s = -l*b - 40. Are 18 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.01163 and 221529.\nAnswer: 221528.98837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 70 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 702 (b) -9\/11 (c) -549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -14717.402 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001214 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0.23, -3, 0.2, -16 in decreasing order.\nAnswer: 0.23, 0.2, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.39936 + 0.4. What is l rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(2)*1 + 0 - 4*(sqrt(2) - sqrt(72))).\nAnswer: 3 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -354*x + 360*x = 1698. Let t = x + -284. Which is greater: 2\/29 or t?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000986499 to six decimal places.\nAnswer: -0.000986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 1147399 = 590*x + 1111409 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -7*g - 27. Let v be j(-6). Let o be 12\/(-15)*v\/(-18). What is d in 2\/3*d**2 - o - d + d**3 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16802189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/476604 and -55\/1248879.\nAnswer: 134878932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9504400 + -9504400.20000012. Let p = h + 0.2. What is p rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:33 PM and 9:18 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11 + -8. Suppose -3*p - h = 0, -3 = -5*j + p + 3. Suppose u + 6 = j. Let s(l) = l**3 + 4*l**2 - 3*l. What is s(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -15*l**3 - 3*l**2 + l. Let f(p) = 15*p**3 + 2*p**2 - p + 1. Let v(c) = -c**3 + 2*c**2 - 1. Let a(x) = f(x) + v(x). What is -3*a(n) - 4*b(n)?\nAnswer: 18*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 - (3 + 3)\/(-2). Suppose 3*d = -q*d + 150. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**2)\/g)**(1\/3)*(g**(2\/19))**(-34) assuming g is positive.\nAnswer: g**(-242\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 71187, 285853, 643629, 1144515, 1788511?\nAnswer: 2575617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 495*y + 127. What is the tens digit of d(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -231053311 (base 6) in base 3?\nAnswer: -22000001221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1309*j - 128.\nAnswer: 1309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10908 and 4040?\nAnswer: 109080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x + 16. Calculate f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4 - (-24 - 12\/(-3 - 1)). Suppose y*r - 12*r = 20. Suppose -12 + 47 = 5*p - r*c, c + 28 = 3*p. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*2*(-7)\/42*(-6)\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18804, 38206, 57608, 77010?\nAnswer: 96412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -14*g - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9\/13433 + -14581\/76760. Calculate the common denominator of -137\/168 and z.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 PM and 2:59 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13.088 + -13. What is p rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 + -104322\nAnswer: -104321.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes before 11:39 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.002 - 22.998. Let u = 22.999984 + l. Round u to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 205 - 80. Calculate the remainder when q is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*(-4)\/(-8)*(-16)\/(-68)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -112, 984, 2080?\n\"Answer: 1096*j - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-460)\/15*-3 + 4. Let c(r) = -y + 179 - 87 - r. What is c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 3 t when four letters picked without replacement from {k: 3, i: 1, t: 4, h: 2, a: 6}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -294, 4, 11, 2, -3 in increasing order.\nAnswer: -294, -3, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2*n + 2 = g, -4*g = 5*n + 37. Let f(x) = x**2 + x - 4. Let w be f(g). Let v = 0.03 + 0.07. Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 12:23 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(20)\/sqrt(490) - sqrt(2)) + 4 + 3*(sqrt(12)\/sqrt(6) + 2)*5 + -3)**2.\nAnswer: 5940*sqrt(2)\/7 + 63702\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -349.291 - -38971.666.\nAnswer: 38622.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-35)\/105*6\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1994268476 and 5587.\nAnswer: 5587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2641038)\/(-228) + (2 - (-15)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*r + 6*r - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/6)\/((-4)\/(-24)). Let i be 1\/(-1)*(0 - g). Which is the third smallest value? (a) -0.4 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 100000001111000010000 (base 2) to base 6\nAnswer: 34350052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 10*q**2 + 321*q + 258. List the prime factors of c(-75).\nAnswer: 3, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 237 + -24?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oeoeeoooeoooooepeeo. What is prob of sequence oo?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*y + 1404 = 36*y. What is the derivative of y + 86 - 8*v**3 - 15*v**4 + 51*v**4 + 3*v**3 - 27*v**4 wrt v?\nAnswer: 36*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 208627881 is divided by 3391?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 570423?\nAnswer: 3, 7, 23, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l - 2*l - 4 + 13.\nAnswer: -l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 - -24. Is d smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -4*x - 9. Let k(p) be the first derivative of p**2\/2 + 2*p - 2. Calculate -2*c(g) - 9*k(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 86*r - 3. Is j(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-52)\/13*(-2 + 1). Let n be 229\/j - 1 - 18\/(-24). Differentiate -n - 46*w + 51 + 15*w with respect to w.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4389 divided by -3?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -1022*v + 986*v - 1260 = 0 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*s = -58*s. Solve 22*y - 75*y - 424 = s for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -63 + 65. Solve 0*y = 3*y - o, -6 = -t*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7386 + 5262 = -744*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.5, 1, 0.07, 1\/3 in descending order.\nAnswer: 5, 1, 0.5, 1\/3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + 33*g**2 + 69*g + 43. Calculate i(35).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -24387 minus 754189?\nAnswer: -778576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 50469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1866, -3\/8, 0, -0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p + 12 - 32. Suppose 5*x + 315 = c, -3*c - x + 997 = -3*x. Suppose p*d - c = -d. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 50 - -17. Let o = f + -64. Solve 0 = -o*p + 27 - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -20 in 1, -1059, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**2 - 10*u + 3. Give d(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 20 = -3*b + b, 2*b + 15 = -y. Put y, -2, -5 in descending order.\nAnswer: -2, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**3 + 6*n**2 - 4*n - 2. Let x be (5\/(-2))\/1*-2. Let l be z(x). Differentiate -j**4 - j**4 - l + 0 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -190 - -195. What is the third derivative of 3*a**y + a**3 - 3*a**3 - 2*a**5 - 55 + 54 - 19*a**2 wrt a?\nAnswer: 60*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 3*t - 1602, 860*r = -3*t + 859*r + 1602. Calculate the remainder when t is divided by 133.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*o**4 + 3*o**3 - 87*o - 167187 with respect to o.\nAnswer: 32*o**3 + 9*o**2 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 AM and 7:06 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/(-9))\/(((-6042)\/(-106))\/513).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*a**2 - 66*a + 66*a + (0*a - a + 2*a)*(-2*a + 0 + 0))*(-5 + 5 - 2*a**2) as o*a**3 + x*a**4 + j + l*a + h*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 2 - (-6 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 2:54 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 9664, 9700, 9740, 9784, 9832, 9884?\n\"Answer: 2*y**2 + 30*y + 9632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5375 is divided by 167.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 3*z = 4, -2*z - 30 = 4*b + 14. Suppose -7*m - 144 = -11*m. Let y = m - b. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(99)*-1 - (0 + sqrt(99)*-2 + sqrt(99))) + -4)**2.\nAnswer: -120*sqrt(11) + 2491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -6. Let w(v) = 9*v**3 - 2*v**2 - 3*v - 2. Let l be w(-1). Calculate the least common multiple of (36\/l)\/(2\/(-5)) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.3 and -18.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 143619373.\nAnswer: 31, 419, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -4 + -5 - -4 - (-1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sdgd when four letters picked without replacement from ldsdgs?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 103, 525, 1227, 2209?\n\"Answer: 140*s**2 + 2*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*4\/6)\/((-16)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 144687861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -3628267708 + -0.01\nAnswer: -3628267708.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 - 6*d**2 + 6*d. Let y be u(5). Let o = -13 + 7. Let b be (o - 4\/(-1))*-2. Solve -4*w = -b*f + 2*f - 2, -5*w + y = -3*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, 134, -4, -3\/5, 2\/23, 3, -30.7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2534*u - 385153. What is a(-152)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*a - 4*a = -p + 10, 4*a + 394 = 414 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of -b**4\/4 + 11*b**3\/3 - 15*b**2\/2 - 8*b + 30. Is u(8) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = -2*o - 8, 2 = 2*w - o + 5*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 54012 and 144180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23172 - 4097 = f. Suppose 2*l + f = 2075. What is l rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s*s**19)\/s*s\/((((s\/(s**(-2\/11)*s))\/s)\/s)\/s))**(2\/93))**(-46))**17 assuming s is positive.\nAnswer: s**(-392564\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -136\/1145 - -4478911\/6870. Let l = 18703\/30 - x. Let h = l + 29. Which is the closest to h? (a) -0.1 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**3 - 9*t**2 - t - 35. Let s be q(10). Do 56 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 3*q - 8. What is the remainder when 24 is divided by n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2910, 2913, 2918, 2925, 2934, 2945, 2958?\n\"Answer: n**2 + 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 345 = -27*r + 32*r. Is 69 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/42*-2*(-8)\/80*-70?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 325\/10*284\/(-355).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3328840 times -5\nAnswer: 16644200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -be5 - -44bd?\nAnswer: 38d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i*i**(-6)*i*i\/i**(3\/10))\/((i\/(i**(-2\/3)\/i))\/i*i**(-2\/5)) assuming i is positive.\nAnswer: i**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 798494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -0.2 (c) 4.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -734 divided by 1?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 849*a + 455989. Calculate l(-537).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 786475999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12341, -15213, -18087, -20963, -23841?\nAnswer: -26721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4 - ((-174544)\/(-24) - 1\/(-3)). Let i = -4114 - c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + x - 6 = -2*x, -4*x + 9 = -n. Calculate the smallest common multiple of 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(468) - (5 + 2 + sqrt(468)))*-6)**2 + ((2 + sqrt(468))**2*4 - -1*(sqrt(468) + 0 + sqrt(468))**2).\nAnswer: 96*sqrt(13) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 24.82606?\nAnswer: 4.965212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 114 a factor of 5068440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -6*r + 5*h, -3*r = 78*h - 80*h - 11. Sort r, -450, -4, -3.\nAnswer: -450, -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(128) + 1)*3 + sqrt(128))*-2)**2 + ((-3*sqrt(128))**2 + 4 + sqrt(128) - sqrt(128)) + -5.\nAnswer: 768*sqrt(2) + 9379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 40768 and 463736.\nAnswer: 3709888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -610, -5, 2 in ascending order.\nAnswer: -610, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 792*j + 39*j**3 - 789*j + 13*j**2 + 16*j**2 - 26*j**2 as w + s*j**2 + u*j + k*j**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 PM and 9:10 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o - 9. Let n be g(-12). Let h = 7 - n. Which is the third smallest value? (a) -0.5 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of -p**3\/6 + 9*p**2\/2 + 6*p. Let q be g(5). Does q = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 3 = -23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -58 + 102. Calculate the remainder when c is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15.045 - 15. Let p = v + -0.255. Let y = -0.41 - p. Which is the nearest to -1? (a) -2\/13 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 3 + 2*x**2)*(-4 + 1 + 1) + (-3 + 4 - 4)*(1 + 2*x**2 - 1) + (2*x - x - 3*x)*(5*x - 2*x - 2*x) to the form k*x + y + z*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -2, 1, 271198 in descending order.\nAnswer: 271198, 6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1056 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27398983?\nAnswer: 211, 129853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*h + h**2 + 4*h + (-3 + 3 - 3*h)*(137*h - 72*h - 27*h) + h**2 + h**2 - h**2 + (-3*h + 7*h - 2*h)*(0*h + h + h) - 2*h**2 - 3 + 3.\nAnswer: -110*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 43927 and 1569282?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from savvuykykvvvyys.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 7*z + 9. Sort 2, -1, z in descending order.\nAnswer: 2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/2, -45, 13, 112, 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6568 rounded to two decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 + 21*n**2 - 107*n - 11. Calculate f(5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -8306*h + 16687. Determine y(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 305 = -165988*x + 166020*x + 81 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 - 26 = 2*j + 4*h - 2*h, -6*j + 2*h - 74 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 49 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**8\/(g**(-6)\/g))\/(g**3)**16 assuming g is positive.\nAnswer: g**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -142, -223, -364, -571, -850?\n\"Answer: -g**3 - 24*g**2 - 2*g - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17 and 491317?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65671 + 1470471 = 100*k. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 10:26 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -5*j - 3*d + 15, -3*d - 1 = -4*j. Suppose 0 = -j*g + 5*g + 2*t - 13, 0 = -t + 5. Solve 2*f - g*f = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -257 and 68.27.\nAnswer: -188.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be (267\/(-30) + 8)*6 + 5. Are y and -1749 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -255 + 257. Let d(m) = -3*m**2 - 4*m. Let l(o) = 0*o**2 - o**2 + 0*o**2. Calculate s*l(h) - d(h).\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l + 4. Let h be d(-4). Let o = -10 + h. What is the second biggest value in o, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.8 - -3.2. Suppose -5*z = 38 + 12. Let r be (-5)\/z - 3\/9. What is the nearest to 1 in r, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 6 + 3)*(0*c + c - 3*c) + 8 + 56*c - 8 + 4*c - 5*c - c + 2*c + 1 - 1 + (3*c - 3*c - c)*(-1 - 2 + 2) + 3*c - 3*c + 2*c.\nAnswer: 73*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 57101463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -657, -689, -779, -957, -1253?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/2718 and 47\/1812.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -244*z + 2987 = -2375 + 482 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27972, -111919, -251828, -447699, -699532?\nAnswer: -1007327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1138 (base 11) to base 5\nAnswer: 21433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 48000, 47981, 47962?\nAnswer: 47943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*l - 2400 = -249*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r**2 + 46*r - 145. Calculate t(17).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/1)\/(-4) - 2. Let l(m) = 9*m**3 + 2*m**2 + 4*m - 1. Let p(v) = 19*v**3 + 4*v**2 + 9*v - 3. Let i(j) = -5*l(j) + 2*p(j). Determine i(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g**4\/13 + 36*g**3\/13 = 0. Calculate g.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -468*f = 563*f + 8232 + 21667 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-18)\/5)\/((-2)\/(-10)). Let w = y - -78. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20325 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3220685009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 314 + -342.4. Let g = q + 28. Let j = 0.3 + g. Is j at most 2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of 0*j**3 + 1\/2*j**2 + j + 3\/2*j**4 + 6. Is g(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2536951 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 305499288 to the power of 1\/2, to the nearest integer?\nAnswer: 17479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bqh. Give prob of picking 1 q and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(8)\/(-2*sqrt(4)))**2 + -2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 132 = -204. Factor 262*x**3 - a*x**2 - 129*x**3 - 54*x - 131*x**3 - 28.\nAnswer: 2*(x - 14)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1539 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 3*r**2 - 16*r + 12. Let a be k(6). Let g(y) = a*y + 3 - 63*y + 32*y. Calculate g(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 PM and 3:19 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 4*d + 4. Let w(g) = g - 1. Let r(s) = -3*s. Let x(p) = -2*r(p) - 3*w(p). Determine 5*j(m) - 6*x(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*u**4*y - u**4 - 579*u**2*y + 2*u*y - 2*u + 1059*y + 2 wrt u.\nAnswer: -48*u**2*y - 12*u**2 - 1158*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2523\/7 + 361. Solve 4\/7*y**3 - 2\/7 + 2\/7*y**4 + 0*y**2 - j*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3690288 divided by -28\nAnswer: 131796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*b = -30*b + 48. Suppose -b*l = -10*l - 514. Let i = l - -528. List the prime factors of i.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -638f (base 16) to base 14.\nAnswer: -9407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (48*o**4 - 94*o**4 + 42*o**4 - 49)*(1 - 3*o - 1).\nAnswer: 12*o**5 + 147*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -218, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nhnhohecooh. Give prob of sequence hh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3941957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 66315211 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2299*s = 2386*s - 2088 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (1 - -14) + 3\/(-9)*24\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 6*h**2. Let p(n) = -69*n**2 + 121*n**2 - 62*n**2. Give p(q(g)).\nAnswer: -360*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -160 divided by -10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/u**(5\/2)*u)\/((u\/(u\/(u\/(u\/(u*u**9*u)))))\/u))**(-9\/13))**(-1\/26) assuming u is positive.\nAnswer: u**(-189\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the second derivative of v**5\/150 - v**4\/60 - 2*v**3\/5 - 4*v**2 - 16*v. Let f(j) be the first derivative of o(j). Solve f(n) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 160166 is divided by 253?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of -4*b**5\/5 + 2*b**2 - 3. Find the second derivative of i(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.264735213 + 23.264733913. Let q = z + -23. What is q rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8104881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 12578231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 5 = -10, 5*t + p = 2. Let r be (7 + -7)\/(-1*t). Suppose r = -5*z + 15 - 5. What is the greatest common factor of 10 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.723392 millilitres to litres.\nAnswer: 0.004723392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3125534, 3 in descending order.\nAnswer: 4, 3, -3125534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/2*110\/15. Suppose 0 = -8*b + l*b - 165. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 37 - 32. Suppose -9*t + 14*t = a - 206, 0 = -5*a - c*t + 1030. List the prime factors of a.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-45) + (-172)\/387?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4616 + 20536?\nAnswer: 12620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 0*n + 66 = 0. Suppose 0*j + j - n = z, 0 = -3*j + 2*z + 37. Let g be 1*3\/(9\/j). Solve u + 4*i + 15 = 0, g*u + 5*i + 16 = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccyycc. Give prob of picking 2 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 - ((3 - 11) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -l - 2*l + 665, -5*j + 650 = 3*l. Let u = 146 - l. Let f = u + 633\/8. What is the third biggest value in -1\/4, f, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 66250 - 5962639\/90. Let a = -8459 + 50603\/6. Calculate the common denominator of l and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 849969 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -14 - -53 - 23 - -1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 79 + (36 + (-19 - -36) - 14).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (148 - (75 - -67)) + 220\/(-38).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -46*i - 50. Give n(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*l + 9. Let m be 95\/l + 1\/4. Is 2 + m - -1*2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -29*w**3 - w**2 - 6*w + 1. Let d(n) = 28*n**3 + 5*n. Let z(a) = 5*d(a) + 4*t(a). Let o be z(2). Round o to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -38*v**5 - 15*v**2 + 29 wrt v.\nAnswer: -2280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 327 + 6a?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2607 and 1422?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30784.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -200317 times -0.1?\nAnswer: 20031.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -1\/3 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 16. Let g be 4*1*h\/(-28). Is -9 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 3*g - 65 - 111, 0 = -3*g + w + 184. Factor 3*r**3 - 240*r - 500 - g*r**2 + 180 - 2*r**3 - 6*r**3.\nAnswer: -5*(r + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 158883862 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -38 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.03527578 and -0.093167.\nAnswer: -0.05789122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x*x\/(x\/x**(-23)))\/(x\/((x*x*x*x*x\/(x*(x*(x\/x**4)\/x*x)\/x)*x)\/x)))**(23\/3) assuming x is positive.\nAnswer: x**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1177\/9 + 131. Let n = -0.86 - -0.7. Let m = 0.24 - n. What is the second smallest value in m, 4, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9 - -13. Suppose -3*i + i - 10 = 0, h*z + 2*i = -6. Let p(w) = 2*w + 6. Let s be p(-5). Put z, 4, s in decreasing order.\nAnswer: 4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 791775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*l**2 + 3*l**2 - 16*l**2)*(-2*l**3 - 3*l**3 + 3*l**3).\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 - 11. Suppose -3*r + 12 = 3*m, 0*r = 4*r - 2*m - 22. What is the lowest common multiple of 3\/(2 + r\/u) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let g = -79 + 75. Which is the third smallest value? (a) 3 (b) 2 (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndl when three letters picked without replacement from {l: 3, j: 1, n: 1, d: 6, s: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, a: 2}. What is prob of sequence aa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1009, 3501, 7667, 13519, 21069, 30329?\n\"Answer: 2*g**3 + 825*g**2 + 3*g + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -8*t - 22. Calculate the remainder when i(-10) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 greater than 103714\/10611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(19)*1 - (sqrt(171)\/(sqrt(9)*-2) - sqrt(19)) - (1 + -2 + sqrt(57)\/sqrt(3) + 3).\nAnswer: -2 + 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/9, -1\/6, 3\/2 in ascending order.\nAnswer: -1\/6, 2\/9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(152))\/sqrt(8) - -6*sqrt(38)\/sqrt(2).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2 + 2*h - 4. Let o be (21\/6)\/((-2)\/(-4)). Calculate the remainder when z(o) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y - 3*y - 2*y + y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -102 divided by 250\nAnswer: -51\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122*x**3 - 34*x**3 - 34*x**3 - 41*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9317 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + 14 + 3*w**2)*(0*w + 2*w - w)*(1 + 2*w**2 - 1).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*5\/(-22)*(-26)\/65?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 - 315?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.7 (b) 1\/11 (c) -1\/10 (d) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(66)\/sqrt(6))*6 + -1.\nAnswer: 6*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -79973, -159947, -239931, -319931, -399953?\n\"Answer: -k**3 + k**2 - 79970*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(224) - -3*sqrt(224)) + sqrt(14))\/sqrt(2) - sqrt(42)\/(sqrt(30)\/sqrt(5))*-1) + -4.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 37754.799 - 68510?\nAnswer: -30755.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -5*f**2 + 5*f + 1. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.1 (b) 356 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes after 8:58 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-9)\/((-90)\/12 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-918)\/(-85) + 32\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/3 + -1 + 1. Suppose 2*c - 5*c = k. Let x(b) = -b**2 + 15. Is x(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 5*b = 328, -2*m = -4*m - b + 228. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -79854, -159712, -239572, -319434?\nAnswer: -399298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129056?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 455767 or 455763?\nAnswer: 455763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4473 or 389027\/87?\nAnswer: 389027\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1016 = -122*h + 162 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 - 6*h**2 - 6*h - 8. Determine d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2327313ml to litres.\nAnswer: 0.0002327313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17170 divided by 197.\nAnswer: 17170\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 2*t. Let n be (-19 - -7) + (-2667)\/(-231). Which is bigger: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 5:48 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the third derivative of -1\/6*h**5 + 0*h - 1\/6*h**3 + 1\/120*h**6 + 1\/3*h**4 - 2*h**2 - 34. Determine r(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the first derivative of v**4\/2 - 17*v**3 - 12*v**2 - 49*v + 33. Let s be d(26). Find q such that 2\/13*q**s + 0 + 2\/13*q**2 - 4\/13*q = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 978, 976, 974?\n\"Answer: -2*p + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.8, -4, -3 in ascending order.\nAnswer: -4, -3, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9104 - -186600509.\nAnswer: 186609613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5269858433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -7.0861 - -465071\nAnswer: 465063.9139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 3.682, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1096.49 - 1101. Let r = 0.49 - u. Let l = r - 5.1. Which is greater: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.006 - -0.494. What is the closest to -1 in z, 11, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -4195*b - 16756. What is k(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**0\/((a*a\/(a\/a**15)*a)\/a)*(a**8\/a)**(-13))**(-33) assuming a is positive.\nAnswer: a**3531","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 708*v**5 + v**4 - 2*v**3 + v + 4309 wrt v?\nAnswer: 14160*v**3 + 12*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11.16 - 0.16. Let k = q + -7. Let d = -0.0378 - 0.2622. Which is the nearest to d? (a) 5 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9534291.\nAnswer: 3, 13, 151, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 3 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 - -1113212?\nAnswer: 1113221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together -4 and 14092.2.\nAnswer: 14088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*k**3 + 21 + 3*k**3 + 4*k**3 + 37*k**2 + k - 12 to the form f*k**3 + a*k + p + h*k**2 and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.14 and 352268.\nAnswer: 49317.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 310 = -5*y + 300. Sort 0, 32, y.\nAnswer: y, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 150 + -50. Let y = 141 - x. Let i = -3517 + 3599. Calculate the highest common factor of y and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 24 - 15. Suppose -4*x + x + l = 0. Find k such that -1 + 1 - 15*k**4 - 9*k**x + 3*k**3 - 9*k**5 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32.9 + -36. Let s = 19.1 + l. Let w = s - 21. What is the second biggest value in w, -3\/5, -1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65057.\nAnswer: 67, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*t**3 + 21 - 21 + (2 + t**2 - 2)*(-t + 0 + 0).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 27, 1, 0, -1 in ascending order.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 44851*u + 224238. Give p(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - (-24 - -40)) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*v**2\/7 - 68*v\/7 + 24\/7 = 0. Calculate v.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14360326 to the nearest integer?\nAnswer: 3790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 6109 times -1\nAnswer: -6109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -1056*o - 18989. Determine l(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 77194662 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (15 - (29 - 14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((-21)\/((-1911)\/26)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 41812746211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -211700 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes before 8:50 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -7, -30 in descending order.\nAnswer: -0.3, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = -o - 0*o. What is the highest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + (-58 - -29) + 19 + 78?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ennsessn. What is prob of sequence en?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 95582.9 milligrams in micrograms?\nAnswer: 95582900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(5\/9)*w\/(w\/(w\/((w**(-4)\/w*w)\/w)))*w)\/(w\/(w*w\/(w\/w**(7\/6)*w*w*w)*w*w)*w*w**9))**(4\/29) assuming w is positive.\nAnswer: w**(-82\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (783\/(-87))\/((-975)\/(-26)).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -27898 divided by 2146\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 118*g - 150*g + 64 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 33\/(-22) + (-14)\/4*-37. Suppose -7*f = f - r. Suppose -f = 2*n - 100. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -15*y - 4*y**2 + 10*y + 5*y**4 + 5*y**3 + 0*y - y**2.\nAnswer: 5*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(2 + ((1*sqrt(78)*-4 + sqrt(78))*2)\/(-1*sqrt(864) + (sqrt(90)\/sqrt(3))\/sqrt(5))).\nAnswer: 18*sqrt(13)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 144, -250, 0, 9 in decreasing order.\nAnswer: 144, 9, 0, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4209311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**3 - 29*i**2 + 24*i - 190. Let q be m(-30). Let x(z) = z**2 + 27*z + 173. What is x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 160359566 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhpp when four letters picked without replacement from {h: 3, k: 6, w: 2, p: 3, l: 2}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2403 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 201524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) 5\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**2 - 51*s + 172. What is m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5504 + -3734. Let z = 3523 - j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0388 and -7.\nAnswer: -0.2716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 36, -43, -15, 1, 164 in descending order.\nAnswer: 164, 36, 1, -15, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 9, t: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.3 + 1362519036042\nAnswer: 1362519036041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2\/21 (c) -2\/11 (d) 0.4 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1284 a factor of 50032555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/185, -30.2, 6, -95 in descending order.\nAnswer: 6, 2\/185, -30.2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 1\/5, -7, -0.5, 4144?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24333130 is divided by 142299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1140805 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10671 = -2*y + s, 37*s - 33*s - 20 = 0. Does 42 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/2763940 and -73\/80154260.\nAnswer: 80154260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 793 + -793.1424. Round b to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 - 15*t + 8. Let i be z(14). Let d(h) = -h - 6. Let g be d(i). Suppose 22*s - 21*s - 14 = g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -24 - 2 - (-35 + 38 + -2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 1\/7, 66, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*d**4 + 0*d**2 + 0*d**2 + (0 + 0 - 3*d)*(-2*d - 3*d**3 - 2*d**2 - 3*d**2 + d).\nAnswer: 11*d**4 + 15*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 18 or 0.004?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 8, f: 2, r: 5, x: 1, b: 2}. Give prob of picking 2 r.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + (-11 - -4) + -3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 366 = -3*v, 4*v + 653 = 4*c - 39. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1, 5\/4, 4\/3355 in decreasing order.\nAnswer: 5\/4, 1, 4\/3355, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15*(1 + 8\/(-12))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2520 and 21195.\nAnswer: 1186920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**2 + 2*j + 8. Let h be y(-6). Suppose 0 = -3*d - 0*d + 2*f + 24, 0 = -4*d + 3*f + h. What is the least common multiple of 4 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 7.908194 nanograms?\nAnswer: 0.000000000000007908194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 11647 + 11013 = 831*p - 1243*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 9523.934ug?\nAnswer: 9.523934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -1 and 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 3*w**3 + 27*w**2 + 81*w + 81 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c - 1. Suppose 24 = -11*g + 79. Suppose -10 = -x - 8. Let v(h) = 3*h + 1. Calculate g*r(b) + x*v(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 103246724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 25855162 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 65925 and 5580771?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 1:08 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1787.644 minutes in microseconds?\nAnswer: 107258640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 710 - 4771. Let b = -4061.00008834 - t. What is b rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 335 - 301. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1654556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 3*m**3 - 10*m + 5*m**3 + 2*m**2 - m**3 + m**3 as x*m**3 + g + a*m**2 + f*m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -579*d - 4049. Let y be w(-7). Solve y*j = 2*k + 28, 0 = 3*j - k - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16812 - 16808. Let i(k) = -2*k**3 + 7*k**2 - k + 22. Determine i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.075694 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/(-2) - (3069\/27)\/31. Which is greater: -504 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 - -13. Let p = j + 3. Let k = -19.1 + 19. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 104, 200, 306, 428, 572, 744, 950, 1196?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4\/3)\/(-2))\/(17\/(-357)*35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4200\/(-38220))\/((-10)\/(-84))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -22*h + 385. Determine c(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v - 92 + 32 = 0. Let p be 75 - ((-8)\/40 + 2\/v). Suppose -n + 3 = -4*h, -3*n + 8*n = 5*h + p. Solve -w = 3*x + 17, 2*w + w = 5*x + n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 71 = -t, -a + 27 = -5*t + 2*t. Let s = a + -21. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -105531 <= -105618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-32)\/(-264)*1113\/(-106).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + 0 + -1 + -59877. Let w = 312992758\/5227 + k. Let q = 167242\/57497 - w. Find the common denominator of 45\/11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/15*1755\/(-468).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {a: 1, l: 2, r: 2, t: 5, f: 5, m: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j*j**(-3))*j*j*j**(-3\/10)*j*(j**(-2\/15)\/j)**(-20))**19 assuming j is positive.\nAnswer: j**(16739\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 8:26 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + 10132141041?\nAnswer: 10132141040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7005666?\nAnswer: 2, 3, 17, 68683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3356174l in millilitres?\nAnswer: 335.6174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -26 * 21366.\nAnswer: -555516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21656574 divided by 206.\nAnswer: 105129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t**(-4\/11))\/(t**2\/t)*(t*t**(2\/3))\/(t\/(t*t*t**(-3\/7))) assuming t is positive.\nAnswer: t**(664\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 212222 - 12121201002?\nAnswer: -12120211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04646614695 rounded to 5 dps?\nAnswer: 0.04647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 5, -77.\nAnswer: -77, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-5\/8)*j)\/(((j\/j**(17\/3))\/j)\/j))\/(j**(3\/17)\/(j*j**8)) assuming j is positive.\nAnswer: j**(6473\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2419212209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26, 127, 376, 721?\nAnswer: 1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = 2*z. Let a = -5\/52 + 189\/884. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**3 - 3*m**3 + m**3)*(-2 + 10 - 19) - 3*m**3 + 5*m**3 + 2 - 4.\nAnswer: 24*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -207*r + 744 + 291 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 5424 * 0.043.\nAnswer: 233.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (2*sqrt(209) - sqrt(209)) - sqrt(209))*4 + sqrt(209) + 1*sqrt(209)*-2)\/((2*-2*sqrt(77))\/(sqrt(7) - 1*-2*sqrt(7))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, w: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 6) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 50230231187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 561, 1114, 1667, 2220, 2773?\nAnswer: 3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6614803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fzhvfzffhhbbfffhhf. What is prob of sequence zhfh?\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 7e422?\nAnswer: 7e41e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h + 3*h - 2*h)*(-2 + 2 - 2*h**3) - 211*h**4 + 178*h**2 - 178*h**2.\nAnswer: -207*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1387824, -2775648, -4163472?\n\"Answer: -1387824*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 + -1. Let p(v) = 4*v + 5. What is the remainder when p(5) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -392 - (1 + (-8)\/(-4)). Let j = 571 + o. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -3*t + 2*r + 1307, -2*t + 520 = 2*r. Suppose -t*j - 64 = -269*j. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 289, -223, -707, -1163, -1591?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2)*(-3 + 5 - 3)*(s - 3*s + 7*s + 0*s + s - 3*s + (4 + 2 - 4)*(4*s - s - 5*s) + 3 - 2*s - 3 + 5*s - 3*s + 0*s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from goygf. Give prob of sequence fo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.134 + 89.866. Let p = z + -13. Let r = -75.49 + p. What is r rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (8\/36 - (-7)\/9)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4075 is divided by 663.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 5:32 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 - (1 + 0) - (-192)\/64. Let j(x) be the third derivative of 4*x**2 + 0*x**3 + 0*x + 0*x**k - 1\/210*x**7 + 0 + 1\/120*x**6 + 1\/30*x**5. Factor j(q).\nAnswer: -q**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2868)\/(-9))\/((-5)\/(-3750)). Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1010110 (base 2) to base 16\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of k**7\/105 + 2*k**6\/75 - 11*k**5\/50 - 2*k**4\/5 + 12*k**3\/5 + 17*k. Find t, given that f(t) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 513 - -10430. What are the prime factors of p?\nAnswer: 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -91433 (base 12) to base 16\nAnswer: -2e227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 4*v - 5 = -z, 4*z + 3*v = 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 314566 - 42?\nAnswer: 314524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9246 divided by 2.\nAnswer: -4623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 688632 and 168.\nAnswer: 688632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the third derivative of b**4\/6 + 2*b**3\/3 - 3*b**2. Let c be q(-3). Let d be (1 + 3)\/(c\/(-12)). What is the highest common factor of 4 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - (-600)\/108)*-9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 485 and 2004990.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4\/357 + -337\/1785. What is the nearest to 4 in m, -0.9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/11 in 2\/7, 19\/6, -3\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 2 + 2. Suppose -2*d - 3*d - s = 1, -2*d - 2 = n*s. Suppose d = -3*w - 5*a + 117, -78 = -2*w - 0*a - 3*a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is k in 3*k**4 + 1425*k**3 + 160854*k**2 + 159432*k = 0?\nAnswer: -292, -182, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 5*v + 7. Suppose -3*u - 9 = i, -i + 5*i + 4*u = -4. Calculate the remainder when g(3) is divided by (i - (-25)\/15)*18\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, -2.35, 2, -286884?\nAnswer: -286884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.369 * 3.\nAnswer: -10.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 282 + 10*f + 16*f + 271 + 242 - 757.\nAnswer: 26*f + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 145 + (16 + -11)\/(10\/4). Let m = n + -77. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -211 + 241. What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, -1, 288, 8, 0.5 in ascending order.\nAnswer: -1, 1\/3, 0.5, 8, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w + 1. Let x be j(-1). Find the common denominator of 2\/(-16*x\/(-86)) and (-26)\/(-40) + (21 - 19).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, s: 1, q: 2, u: 2, v: 2, w: 1}. What is prob of picking 1 s, 1 o, and 1 v?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 96\/(-25344)*-540 - 6\/11\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*h - 13 - 31 = 0. Solve 3*d + h*c + 6 + 7 = 0, -5*d - 12 = -3*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 8:51 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**3 - 2*w**2 - 8*w - 1. Let l be y(4). Is ((-5389)\/(-34))\/(2\/(-4))*l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 24732121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 213632 + 0?\nAnswer: 213632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -333 divided by 83137\nAnswer: -333\/83137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2131226374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-44)\/((-352)\/24)*((-2)\/(-13))\/(-2)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3200801 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 6:49 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and -0.68141?\nAnswer: 0.068141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1536259, -1536271, -1536281, -1536289, -1536295, -1536299, -1536301?\n\"Answer: u**2 - 15*u - 1536245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/2002 and -42\/3289.\nAnswer: 46046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1633, 1634, 1635, 1636, 1637, 1638?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(1\/3))**(-6\/17)\/(y**(-2\/13)\/y**(3\/4)))**(-2\/31) assuming y is positive.\nAnswer: y**(-591\/13702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48530, 48529, 48528?\nAnswer: 48527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v. Let k(d) be the second derivative of 0*d**2 + 0 + 8*d + 3\/2*d**3. Give k(x(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - -9. Suppose 15*c - 175 = 20*c. Let f = 61 + c. What is the remainder when f is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 998047314 to the nearest integer?\nAnswer: 31592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 9097859879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*g**3 - g**3 - 2*g**3)*(1 + 3 - 2)*(-4*g + 6*g + 16*g)*(-8 + 14 + 5) to the form q*g**4 + s*g**3 + w*g**2 + x*g + u and give q.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4864156 millimeters in centimeters?\nAnswer: 0.04864156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/35*-15 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 - 4525*f - 116974. Determine v(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-10 + 37) - (-38 + 46).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 89 a factor of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (12\/(-15))\/((-6)\/(-735)). Let x = 8 - j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*t**2 - 7*t**3 - 2*t**2 + 8*t**3 + 130*t + 329 - 406*t with respect to t.\nAnswer: 3*t**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1502446 is divided by 860?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 865378 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 7 = 28. Let a = -51 - -86. What is the highest common divisor of c and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/462 and 89\/1500.\nAnswer: 115500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**2\/2 - 825*j\/2.\nAnswer: 3*j*(j - 275)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 99607285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*g*t**3*y + g*t - 19*g*y + 41*t**3 + t*y + 2*y with respect to t.\nAnswer: 6*g*t**2*y + g + 123*t**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -394 + 380.19. Let s = 9.97 - b. Let u = s - 23. What is u rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41.6 + 42. Let p = 4 - -40. Let d be p\/20 + -2 + 0. What is the closest to 3 in 1\/3, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 - (-4)\/(-6)) + -1. Let x = -12 - -11.941. Let n = -0.259 - x. What is the third smallest value in n, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-two fifths of a century in years?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -5 - -3 - -1 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110661884?\nAnswer: 2, 251, 110221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -3, -1\/18, 114, 3\/2, 5?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -j**5 - 668*j**4 - 136*j**3 + 2696*j - 51?\nAnswer: -20*j**3 - 8016*j**2 - 816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 348 = 5*c + 3*x - 254, 120 = c + x. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (109*j**2 - 130*j + 130*j)*(-73 + 2*j**3 + 9 - 66).\nAnswer: 218*j**5 - 14170*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1707, -1830, -2033, -2316, -2679, -3122, -3645?\nAnswer: -4248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j**2 - 3*j**2 - 9*j**2)*(-3 + 48 + 4)*(8 + 16 - 17).\nAnswer: -3087*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6\/(-40)*(-40)\/45. Let l = 8.484 + -9.884. Which is the nearest to l? (a) k (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 57 - 46. Suppose -23 + j = -4*q. Suppose n + 172 = 3*d, 3*d - 6*d = q*n - 168. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 102\/(-304)*(120\/(-27))\/4 and -50\/3.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 - 11. Let c be ((-3)\/b)\/((-1)\/(-12)). Let r(a) = -a - 6. Let p(s) = -s - 1 - 2 - 4. Give c*p(u) - 7*r(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 504 divide 87450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -644? (a) 0.4 (b) -1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 89 - 63. List the prime factors of n\/1*(-6)\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b - 2. Let o be t(-1). Let q(u) = u - 3. Let z be q(0). Are z and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 41712*c*o**3*s**2 - c*o**2 - c*s**2 - 5*c*s + 4*o**2*s**2 - 13*s wrt o?\nAnswer: 250272*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6883 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -160, -176, -196, -220?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4332 - 57. Is (-3 + 5 - 6) + z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 190 = -21*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 8) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 155123 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 156 and 6?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w - 3*w + 2*w)*(43*w**2 - 9*w + 13*w + 48*w**2) to the form p + f*w + s*w**3 + y*w**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 924 a factor of 1617924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = 6*g - 0*g + 176, 4*n + 2359*g - 218 = 2366*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.08 + 0.08. Let x = 3 + k. What is the nearest to x in 1, 2, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/15198 and -83\/136.\nAnswer: 60792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + b + (-2 - 2 + 2)*(b + 3*b - 5*b))*(1 + 1 - 4).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 0.01, -10, 40, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*(4 - 29\/7). Let t = 40\/29 - 73\/116. Which is the nearest to x? (a) -0.2 (b) 7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2241*c**2*f + 4583*c*f wrt c?\nAnswer: -4482*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 1172984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 2) + (5 - 16) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (36*25\/80*13\/((-234)\/12))\/(-3)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4999984 = d - 4*x, 3*x - 10790040 - 9209972 = -4*d. Round d to the nearest one hundred thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 616 divided by -13420\nAnswer: -14\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a - 6. Suppose 4*g = 8*g + 12. Determine c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 806635, 806646, 806657, 806668, 806679?\n\"Answer: 11*j + 806624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -97 + 136. Solve -u*y = -43*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 17 = -w + i, 3*w = -3*i - 33. Let n be (-36)\/(-8)*w\/9. What is the tens digit of (7 - 5)*(-51)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/12)\/((-217)\/(-62))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 - 9*z**2 - 9*z + 10. Let s be t(10). Calculate the greatest common factor of s and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -811 - -811. Let n be 8\/(-6)*(-9)\/6. Suppose -2*w + 4*w + 3*d = y, 2*w + n*d = 0. Sort w, 1\/5, -0.07, -1 in increasing order.\nAnswer: -1, -0.07, w, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -289203.3784 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 27102, 54279, 81472, 108687, 135930, 163207, 190524?\nAnswer: 217887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aalajjwjlljallja. Give prob of sequence ll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 - 6531?\nAnswer: -6532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5545, -5533, -5507, -5461, -5389, -5285, -5143, -4957?\n\"Answer: p**3 + p**2 + 2*p - 5549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*k + k + 32 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -7 - (4 - 9) - -7671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -70 + 56. Let j = 16 + 40. List the prime factors of (-16)\/j + (-256)\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 283, 1, 0.8, -0.029.\nAnswer: -0.029, 0.8, 1, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 144 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**2 - 1040*o - 1042 = 0. Calculate o.\nAnswer: -1, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*b = -63*b. Suppose -93*z + 101*z - 32 = b. Solve 4*g + g + 2*w = 23, 0 = -g + z*w + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1352208 and 87945.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3547.960138 + -3548. Let h = -304 + 304.04. Let j = t + h. Round j to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5)\/((-10)\/(-8)) - -227. Let u = -109 + r. Let y = -66 + u. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes before 2:39 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3 + 5 + 5 - (15 - 25)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 656068733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - j + 2 = 0, -3*q = -5*j + 12 + 22. Let l = -14 - -9. Put q, l, -2 in increasing order.\nAnswer: l, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5490030117.5 and 98?\nAnswer: 5490030019.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of -a**3\/3 + 7*a**2\/2 - 12*a + 107. Suppose w(r) = 0. Calculate r.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/25662 and -13\/22.\nAnswer: 282282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/7)\/(10 - 68\/7). Solve -p*u - 199 = -203 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-200)\/(-60)*21*39?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 63608 (base 9) to base 7.\nAnswer: 233405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1399111 + -0.1178?\nAnswer: 1399110.8822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wf when two letters picked without replacement from {r: 1, f: 1, w: 3, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -x - 49, 2*x - 7 - 3 = 0. Let w = c + 30. Suppose 4*s = -f - 4*f + w, 2*f + 3 = s. Solve s*p = -8 - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (24 - 15) + 0 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 554.71 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 14*x**3 - 6*x**2 - 4*x + 8. Let c be k(3). Differentiate -11 - 33*s**4 + 159*s**3 - c*s**3 + 161*s**3 with respect to s.\nAnswer: -132*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 86433611?\nAnswer: 11, 31, 47, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - 1. Let a be ((-12)\/(-7))\/(i\/3). Let h = a - -20\/7. What is the third smallest value in -0.1, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-72320)\/5424)\/(16\/24*1\/(-2)*1).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10249 times -0.3?\nAnswer: -3074.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*a**3*m**2 - a**3 - 134*a*m**2 - 27*a*m + 2 wrt m.\nAnswer: 6*a**3 - 268*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m**2 - 10*m + 7. Calculate r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -2*m + o, -15*m - 4*o = 729 - 780 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -155*i + 42*a - 41*a - 628 = 0, 4*a = -6*i + 8*i + 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-1 - 0) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, q: 2, k: 1, x: 1, o: 2, v: 1}. What is prob of sequence oq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -367 divided by -367\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the second derivative of a**5\/20 - a**4\/2 + a**3 - a**2\/2 + 4*a. Let y = -10 + 15. Calculate the least common multiple of l(y) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 - -5. Let c(t) = 14*t**2 + 2*t - 1. Let x be c(k). What are the prime factors of ((-8)\/(-5))\/(2\/x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -202*u**3 + 54231*u**2 + 197401560 wrt u?\nAnswer: -606*u**2 + 108462*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19797 is divided by 1098?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -13 + 10 - 8358*c**2 + 7642*c**2 + 0*c**2 + c**2 + 0*c**2 + (-3 - 2*c + 3)*(2*c - c + 0*c).\nAnswer: -717*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (11 - 2)*(-8)\/24. Let f = 212 - 222. Which is the second biggest value? (a) 2\/17 (b) 0.4 (c) f (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(14) - (sqrt(56)\/(2*sqrt(4)) + sqrt(14))) + 5*sqrt(28)\/sqrt(2))*5)\/((sqrt(450)*1 + sqrt(18))*-1).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 1553 = -1549. Calculate the greatest common factor of 47 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1 + 88\/(-11) + (-2 - -4296).\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 977030.6mg in grams?\nAnswer: 977.0306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -424, -1302, -2764, -4810?\n\"Answer: -292*d**2 - 2*d - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 222 and 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, 0.1, -2, 56?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16655, 33291, 49927, 66563?\nAnswer: 83199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 24*u - 12. What is the units digit of r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 3*m + 11, 2*m + 30 = -7*v + 9*v. Let g(d) = -d**3 + 15*d**2 - 18*d - 18. Calculate g(v).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 62*f**3 - 19*f**2 - 15*f + 355. Let a(x) = -35*x**3 + 9*x**2 + 8*x - 177. Let n(o) = 11*a(o) + 6*s(o). What is the second derivative of n(u) wrt u?\nAnswer: -78*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1130, -1129, -1128?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1204796, 1204824, 1204842, 1204844, 1204824, 1204776, 1204694, 1204572?\nAnswer: 1204404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 4)*(2*c - 2*c + c + (-4 + 1 + 2)*(-3*c + 4*c - 2*c) + 4*c - 5*c - 9*c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3)*z**4)\/(z\/(z\/(z*z**(2\/3)\/z)))**(-4\/9)*(z**0\/z**0)\/((z**(-4\/5)\/z*z*z)\/(z*z**(-3))) assuming z is positive.\nAnswer: z**(-122\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3.909737441 rounded to 4 decimal places?\nAnswer: 3.9097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -31 (d) 3 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by -1 + 26\/2 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -51 - -53. Suppose -h*s - 2*s = 0. Put 5, 3, -10, s in descending order.\nAnswer: 5, 3, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -261 (b) 132 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -13 - -54?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*r - 12 = 30*r. Solve r + 3 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -788*r**3 + 627*r**2 wrt r.\nAnswer: -4728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -69 by 206.\nAnswer: -69\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*b**3*f**2 - 4532426*b**3*f - 2*b**2*f**2 - b**2 + 816246*b*f**2 + 3*f**2 wrt b.\nAnswer: 30*f**2 - 27194556*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9440 + -5683. What is the greatest common factor of i and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-2\/9)*m*m*m*m**5*m*m)\/(m**1*m)**(3\/5))**(-2\/117) assuming m is positive.\nAnswer: m**(-772\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15168*r**3 + 1804*r**3 - 1044*r**3.\nAnswer: 15928*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -414.52?\nAnswer: -41.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1699963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/6 + 2)\/(-1*34\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 288*d + 2*z = 290*d + 2, -3 = -z. Let j(g) be the first derivative of -g**3\/3 - 2*g**2 - g - 1. Calculate the lowest common multiple of j(-3) and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-20))\/((-10)\/(-475)) - 5. Sort 24, -0.2, a.\nAnswer: a, -0.2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1208 + -1187. Let u(v) = -v + 8. Calculate u(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 - 2*g**2 + 4*g**2 - g**2. Let w(p) be the third derivative of 0*p + 1\/8*p**4 + 0*p**3 + p**2 + 0. Give a(w(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -2, 0, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 4\/7, -3, -4, 0.6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 455.621677 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -0.7. Let y = w - 0.6. Sort 0.2, -1\/2, y in decreasing order.\nAnswer: 0.2, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 176858730?\nAnswer: 2, 3, 5, 23, 85439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/15? (a) 1 (b) -7008 (c) 2 (d) 12 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**5*(i**(-9\/2)\/i)\/i assuming i is positive.\nAnswer: i**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of -32*d**6 + 683*d**4\/12 + 960*d. Find the third derivative of y(h) wrt h.\nAnswer: -23040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 * 1198\nAnswer: 14376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1397282202.\nAnswer: 2, 3, 2417, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-12)*c)\/(c*c\/(c*c\/(c*c**(-2\/21)))))\/(c**2*c)**15 assuming c is positive.\nAnswer: c**(-1174\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -0.015314, -8, 4, 41?\nAnswer: -0.015314","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 214340402303 - 4?\nAnswer: 214340402244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -174*(-28)\/182700*15\/(-4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -4\/5 + 12\/5*s**4 + 4\/5*s**5 - 8\/5*s**2 + 8\/5*s**3 - 12\/5*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 3*w. Let j(i) = 3*i**2 - 2*i + 1. Let b be j(1). Let x(p) = -b*p**2 - p**2 + p**2. Determine c(x(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 567 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 50.5 - 51. Let d = -0.6 - 4.4. Which is the third biggest value? (a) -3\/2 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.763 + 2.237. Which is the second smallest value? (a) -46 (b) 2 (c) g (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 + 113*k**2 + 452*k + 846. Calculate r(117).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010011101111001 + 100?\nAnswer: 11010011101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*(-4)\/288)\/(24\/(-64)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m + 7 = 21 - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*-1 + 2 + 42 + -35. Solve 4*m + 18 = a*o, m + 3 - 1 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 41058 and 237383670.\nAnswer: 712151010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 40137 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.06 + -0.56. Let p = 0.56 + z. Let g = p - 0.0600004. Round g to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21.9 - 20.9. What is the closest to 2 in d, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 952 + -551. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -11*i - 140. Let y be v(-3). Suppose j - 81 - 107 = 0. Let k = y + j. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes after 6:49 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.357, 3\/3970, -3, 0.4 in ascending order.\nAnswer: -3, -0.357, 3\/3970, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/7? (a) 1\/3 (b) -8\/37 (c) -4 (d) 120 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.435 - -2.565. Sort -0.11, x, -4 in descending order.\nAnswer: x, -0.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 9*j + 23. What is w(-16)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10973.\nAnswer: 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from {d: 5, y: 6, x: 3, v: 3}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -5*b**2 - 3*b - 1. Let n be k(-2). Let h = n - -27. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -26*f**5 - 3*f**4 - 6*f - 3. Let b(y) = 52*y**5 + 5*y**4 + 13*y + 5. Let t(c) = -3*b(c) - 5*p(c). What is the second derivative of t(n) wrt n?\nAnswer: -520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 AM and 6:55 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 + 42 = 5*y - 5*p, 4*y + p = 27. Let d be 2\/(-14) + 65\/(-35). Calculate the lowest common multiple of y and (d\/(-6))\/(2\/66).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l**2 - 1781*l + 58208. Determine x(35).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 512*z**2 + 87*z + 1. What is a(2)?\nAnswer: 2223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-3)\/(-117)*6 + 10863\/(-1404) and -28\/1629.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.039*9413\nAnswer: 367.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3756, 14536, 32502, 57654, 89992, 129516, 176226?\n\"Answer: 3593*p**2 + p + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 16, 5, -2881, -4, 0.\nAnswer: -2881, -5, -4, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (39 - 74 - 87)*(-4*o + 2*o + 3*o).\nAnswer: -122*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (378\/(-36))\/(4 - (-19)\/(-4)) + -6. Solve 5*n - w = -f, 2*f + 3*n = 3 - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 10 = 4*o + r, 3*o - r - 20 = 0. Let h(n) = -n**2 + 14*n - 50. Let g be h(5). Put g, o, -4 in ascending order.\nAnswer: g, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-390)\/(-14) - 3 - (30\/(-35))\/(-1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5862438117.\nAnswer: 3, 17, 31, 72707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10 and 5290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-320)\/(-350) - 1)*(1 - 6). Let -1\/7*c**3 + q*c**2 + 0*c + 0 = 0. Calculate c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.264 + 4.704. Let p = 0.56 + x. Sort p, 0.4, 3\/5, 4\/3 in descending order.\nAnswer: p, 4\/3, 3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1504550*t**3 + 4484636*t**2.\nAnswer: 9027300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -6.72343?\nAnswer: 3.361715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -14452 (base 7) in base 15?\nAnswer: -12c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x + 5. Let z be t(5). Suppose -4*n + l + 191 = -0, 0 = 4*n - 2*l - 190. Let g = n - z. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19.5 + 1.5. Let t = w + 19.3. Round t to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*d**4 - d**4 - 2*d**4)*(0 - 4 + 3) as q*d**3 + g*d + n*d**2 + l + v*d**4 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.01 * -175130.\nAnswer: 877401.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.19504 + 3319.\nAnswer: 3320.19504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**2 - 4*u**3 + 116*u + 1643 - 536 - 452 - 535 - 7*u**2.\nAnswer: -4*(u - 5)*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4413 - 1030330?\nAnswer: -1020412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 2. Let t be 0*1\/z + -3. Let j be (184\/115)\/(2\/(-5)). Which is greater: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 - 2)*(-4800 + 4808 - 244*k**2 + 18*k**2 + 2*k) to the form z*k + s + a*k**2 and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3*(-1769)\/9 + 1\/3. Let y = q + -580. Let m = -91\/3 + 30. What is the nearest to y in 0.3, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -3*g**2 - g + 6. Let w(r) = -2*r**2 + 48*r - 41. Let x be w(23). Let a(z) = 3*z**2 + z - 5. What is x*s(y) + 6*a(y)?\nAnswer: 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 105.23 rounded to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/2 or 1.7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of 23*w**3\/3 + w + 34. Let h(v) = 2*v. Give h(m(o)).\nAnswer: 46*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 5*d - 35 = 0, -2*f = -0*f + d - 2. Let c(p) = 0 - f - 5*p**2 + 3 + 4*p + p**3 - 1. What is the units digit of c(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -2*s**2 - 60*s - 208 = 0.\nAnswer: -26, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 2 = 3*m - 7, 3 = 5*h + m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = -5*g, 2*y - 96 = 84*g - 68*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -635, -1271, -1907, -2543?\n\"Answer: -636*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*i - 560 = -53*i - 204. Solve 0*p - 4*p = -4*y - i, 3*p = -9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -143003661 divided by -4?\nAnswer: 143003661\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(3\/2))\/g)\/g**(-2\/3)*(g\/(g\/(g*(g**(2\/7)*g)\/g)*g))\/(g**6\/g) assuming g is positive.\nAnswer: g**(-107\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.12 - -11.62. Let d = r + 1.5. Let z = d + -17. What is the nearest to 1 in -2, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r - 8*r - 9*r - 8*r + 14*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 - 17. Suppose -c - 8 = -3*c. Solve n = -v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2875 is divided by 613.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x**2. Let m(v) = -63*v**2 + 54*v + 96. Calculate m(t(c)).\nAnswer: -252*c**4 - 108*c**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 4*q = 12, -6*h = -h - 4*q + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1184673109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 847, 1695, 2545, 3397, 4251?\n\"Answer: w**2 + 845*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (55\/(-902))\/((-11)\/264*30).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 - -19. What is the biggest value in 2\/15, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/((i\/(i**(-37)*i))\/i))**(-1) assuming i is positive.\nAnswer: i**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (((-1)\/5)\/((-30)\/225))\/(-1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 = 15*p - 155. Let r be 1\/2 + 10\/4. Solve -p*b = -r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/12)\/(4\/(-18)). What is the fourth biggest value in 2, -5, p, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -99.8031575 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 + -7.6. Let j = v - -1. Let s = 8 - 4. Sort s, 0.3, j in decreasing order.\nAnswer: s, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + p - 4 = 0, -6*p + 11*p = -5*n - 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the first derivative of 2*s**3\/3 + s + 1. Suppose -o = -5*t + 15, 0 = -o + 5*o + 20. Suppose t*g - 6*g = -4. Give f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z + z - 2*z + (-3 + 3 + 2)*(1 + 2*z - 1) + (-3 + 4 + 1)*(-7*z + 3*z + 2*z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1*2)\/(11\/(231\/14)). Let o(j) = 18 + j + 5 - q - 55. Give o(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 49 = 5*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20102 - 12?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1708 + -1484.4. Let p = -224 + d. Let o be ((-6)\/4 - 0) + 0. Sort o, p, 0 in increasing order.\nAnswer: o, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -5*s - 3*f - 6, -3*f + 9 = 0. Suppose 2*r = 4*t - 148, s*r - 97 = t - 4*t. Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 12474258?\nAnswer: 12474258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22 + -19. Suppose 0 = -0*d - z*d - 4*a + 157, 5*d - 251 = 4*a. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/(-8) + (1634\/152 - 12). Which is smaller: 2\/2339 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -412 + 405. Calculate the remainder when ((-2)\/3)\/((-2)\/318) is divided by -3*(d + 16)*-1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -491 - -403. Which is bigger: -441\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, 0, 0.296 in decreasing order.\nAnswer: 2\/3, 0.296, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/25*-2*585\/(-12168).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17317.43*-0.025.\nAnswer: 432.93575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-h + h - 2*h**2)*(2 - 3 + 0) + h**2 + 2 - 2 + 2*h**2 - 11*h + 11*h as g*h**2 + b*h + z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.036567l to millilitres.\nAnswer: 7036.567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 p when three letters picked without replacement from {m: 1, p: 1, u: 1, r: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 k when three letters picked without replacement from bbubkkkukkkkkukukbu.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of 553*b**3\/3 + 686*b**2 - 13*b + 4. Find the first derivative of g(f) wrt f.\nAnswer: 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + -1. Calculate the smallest common multiple of (-123)\/(-132) - (-6)\/(-8) - (-2037)\/231 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6637181, -6637180, -6637179?\nAnswer: -6637178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 25\/((-3)\/6*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 831452 (base 9) to base 11.\nAnswer: 307591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -980*y + 13737. What is f(14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1472\/352 - 1*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 24*j**2 + j*r**3 + 315*r**3 with respect to j.\nAnswer: 48*j + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2\/51)*b**(-29))**(-5\/2) assuming b is positive.\nAnswer: b**(7405\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -7*b + 51. Let p be x(7). Suppose p*z - 95 = 199. Calculate the remainder when z is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 621165448?\nAnswer: 2, 17, 4567393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((2\/(-2))\/(-1))\/(-1). Let x = 14 + -13.8. Let j be 19\/(-44) - (-20)\/110. What is the nearest to j in p, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 187 - 68?\nAnswer: 11f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 24 = 4*g. Suppose 3*s + g*y = -s - 208, 0 = -4*s + 5*y - 168. Let j(n) = n**3 - 7*n**2 - 16*n - 5. Let z be j(-3). Is z <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 175519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/108)\/((-4*(-50)\/(-40))\/(-6))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 26 = -2*z + 194, 5*t - z - 196 = 0. Calculate the common denominator of 2 + (-436)\/t + -2 and -31\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 82*a**2*c**2 - 451370*a**2 - 1406*a*c**2 - a + 2*c**2 wrt c.\nAnswer: 164*a**2*c - 2812*a*c + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -308 or 717?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 56 and 78251054?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567) - ((sqrt(567) + 0)**2 + 5))*-4 + -4 + ((sqrt(567) - (sqrt(567) - ((sqrt(567) + -1 + sqrt(567))**2 + sqrt(567)))) + sqrt(567) + 2 + -1)*-1.\nAnswer: -18*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**2 - 10*n - 6. Let b be d(-9). Find the third derivative of -g**2 - 4*g**3 - 2*g**2 - 2*g**b wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -2*x. Let m(o) = 7*o - 35. Determine u(m(k)).\nAnswer: -14*k + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of -2*k**3 + k**2\/2 - k. Let t(m) = 21*m - 105. Let r(p) = 4*p - 21. Let j(d) = -5*r(d) + t(d). Calculate j(f(u)).\nAnswer: -12*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/3)\/(252\/56).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**2 - 8*y + 8. Calculate p(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 3. Suppose -t*v = -v - 12. Suppose -34*f = 141*f - 44 - 1006. Calculate the highest common divisor of v and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0*f - f - f)*(0*f**3 + 3*f**3 - 5*f**3) + (-2*f**2 + 1 - 1)*(689*f**2 - 281*f**2 - 195*f**2).\nAnswer: -422*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/5 and (-3332)\/272 + 1\/((-1)\/1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13985 + 2460 - 1706 + 2*l - 844.\nAnswer: 2*l + 13895","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 406 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13938 divided by 3.\nAnswer: -4646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -133201102 - 1?\nAnswer: -133201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20 - 19. Calculate the remainder when (-9)\/((-18)\/116) - (d - 1) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -2083*q**2 + 116646*q + 112. What is x(56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 115623*t**2 - 20*t - 37. Let x(u) = 57811*u**2 - 10*u - 19. Let k(z) = -3*w(z) + 5*x(z). Let f be k(8). Round f to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -0.04, 1\/2, -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 n, and 1 a when three letters picked without replacement from {a: 3, n: 13, v: 1}?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24\/31 - -443\/372. Let d = -120227\/22 + 5462. Calculate the common denominator of l and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - 1)*221\/(-13). Solve 0 = -v - 2*k - 3, 0 = -3*k + 5 - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*j + 3 - 22*j - 3.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 272 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(24) - sqrt(24))\/sqrt(12) + 5*(sqrt(2) + 0) + (-4 + sqrt(72)*2)*2.\nAnswer: -8 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 + 2 - (-10 + 2)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 318.5192um to centimeters.\nAnswer: 0.03185192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*(-28)\/42*(-6)\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -21*v**2 + v. Determine r(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 199.\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0*-3*(-4)\/(-48). Let d be 4\/((1 - g)\/(9\/(-18))). Put -4, d, 1, 4 in ascending order.\nAnswer: -4, d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -8*p**3 - 8*p**2 - 6. Let q(r) = -7*r**3 - 9*r**2 - 5. What is -5*o(y) + 6*q(y)?\nAnswer: -2*y**3 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 126, 129, 130, 129?\n\"Answer: -g**2 + 6*g + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2 - j - 2 + 4. Let p = -4 + 16. Let u(n) = -3*n**2 + p*n**2 - 2*n**2. Give u(x(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2212 or 2197?\nAnswer: 2197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 2*y = -4*z - 52, 4*y + 4*z - 52 = 0. Let i(d) = d**2 - 14*d + 17. Determine i(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*c + 7*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (k**3 - k**3 - 2*k**3)*(2 - 2*k**2 - 2).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 6 = -5*b - 6 - 4, -3*b = 3*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1481693.\nAnswer: 1481693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -27.63193 to two dps.\nAnswer: -27.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2990 and 392725?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/4)\/((-2850)\/1520)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-64)\/((-78)\/36 + 1\/6). Suppose 4588 = -x*f + 45836. What are the prime factors of f?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(52)*3 + sqrt(78)\/(sqrt(96) - sqrt(6)).\nAnswer: 19*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 473667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**0)**(9\/11)*k**2\/k**(-10))**1)**42 assuming k is positive.\nAnswer: k**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-214)\/16)\/((-1105)\/(-66118)). Let v = 76566423\/4420 + o. Let r = v + -16525. What is the common denominator of r and 95\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1420885435 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33253 + 33253. Which is the third biggest value? (a) -5 (b) -4 (c) 15 (d) 0.5 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 3*x**3 - 4*x**2 + 2*x + 2. Let k(q) = -25*q**3 + 26*q**2 - 12*q - 14. What is -k(t) - 6*l(t)?\nAnswer: 7*t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -5*x**2 - 14*x + 13*x + 4*x**2. Let i(m) = -40*m**2 - 28*m. Let o(j) = 2*i(j) - 56*p(j). Let y(h) = -h. Determine o(y(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -58*n - 6 + 6 - 1 - 13. Does 18 divide o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -5*t + 21. Let x(w) = -6*w + 1. Let f be x(-1). Let s(k) be the second derivative of -k**3\/2 + 11*k**2\/2 + 43133*k. Calculate f*s(l) - 4*g(l).\nAnswer: -l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 426889425*q**4 - 393050828*q.\nAnswer: 5122673100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/87, 25, 192.\nAnswer: 1\/87, 25, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*a**2 - 44 + 7*a + 71 - 35 - 7*a to the form s*a + k*a**2 + j and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*z + l = 6*z - 4, -4*z = 3*l + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3441292 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1762?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jrj when three letters picked without replacement from rrrjrrj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 - 2 + 4)*(-4 + 4 + 1)*((-507*q - 903*q - 66*q)*(-2 - 1 + 1) + 1 - 1 + q) as u + r*q and give r.\nAnswer: -5906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -979*r**3 + 1353*r**3 + 2297*r**3.\nAnswer: 2671*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 33 = -3*b, 5*b + 3118*n = 3122*n - 91 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2923840916?\nAnswer: 2, 19, 239, 160969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 0) + (2 + 3 - (3 - 8 - 45))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -21120020201 (base 3) in base 7?\nAnswer: -1160050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 4, -2, 2, -7, -12 in decreasing order.\nAnswer: 4, 2, -2, -6, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/27 (b) 2.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 1112?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -1185412830 to the nearest one million.\nAnswer: -1185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be (8\/(-12))\/(38\/42 - 1). Let k = -76 + r. Let m = -54 - k. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -222159.49917 - -222179.9. Let r = z - 20.4. What is r rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -437*o - 178717 = 1260*o + 28317 for o.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 244390980 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**3 - 5*q**2 + 93*q + 465. Let d be r(-5). Let c(i) be the second derivative of 0*i**2 + 17*i + 1\/60*i**4 + 1\/10*i**3 + d. Factor c(p).\nAnswer: p*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 + 1. Let f(o) = -3*o**2 + 6*o**2 - 3*o + 2 + 0*o**2 + 4*o. Give -f(y) + 2*z(y).\nAnswer: 2*y**3 - 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 92194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.397 + 0.153. Let v = 22.844 + n. Round v to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/21*2\/1. Suppose 16 = -4*u - 5*t - 7, 3*t = 5*u + 1. Sort k, u, -0.3 in decreasing order.\nAnswer: k, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/8)\/(-9*6\/(-252))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -4*f**2 - 141768*f. Let t(b) = -2*b - 25. What is t(z(q))?\nAnswer: 8*q**2 + 283536*q - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 5*w + 1, -c = 4*w - 6 - 1. Suppose c*y + 7 = 25. Let t be (-9)\/y - 359997\/2. What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9083841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -3*m**2 - 7*m + 7. Let n(i) = -i**2 - 2*i + 2. Let a(c) = 7*n(c) - 2*z(c). Let u(d) = -4*d. Calculate a(u(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 279*m - 274*m - 18 = 0, -3*m = -4*v - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*g**4*q**3 + 66244*g**4*q**2 - 2*g**2*q**2 - 308037*g*q**3 wrt g?\nAnswer: -72*g*q**3 + 1589856*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-11)\/55 - 6\/20)*24\/30. Let a be (-6)\/(-2) - (-1 - 0). What is the third biggest value in h, -11, a?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*p + 2*p - 4*p - 336 + 31*p + 336 + (1 - 1 - 1)*(-3*p + 4*p + 2*p) + 3*p - 2*p - 2*p in the form i*p + u and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 214\/14 - (10 - 1836\/189)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 + 10*f**2 - 17*f - 20. Calculate o(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 32*c**3 - 1212*c**2 - 32*c + 68. Let z be s(38). Calculate the highest common divisor of 78 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18 - 16. Suppose j - m = 2*j. Let z(f) = -4*f - 1. What is z(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 2*k**3\/9 + 1298*k**2\/9 - 223810*k\/9 + 219898\/3 = 0.\nAnswer: -791, 3, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 + 28*k + 176. Give y(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -147120*z - 58485 wrt z?\nAnswer: -147120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 109612699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 7*m + 2*m = 4, -147*v - 3*m = 2*m - 2301 + 557 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 30303.96 nanograms?\nAnswer: 0.00000003030396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -22145 + -109781075\nAnswer: -109803220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 - 8*u**2 - 9*u - 3. Let i be y(9). Which is the second biggest value? (a) -5 (b) -1.8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, -7, -2, -0.8, -0.11, -0.2.\nAnswer: -7, -2, -0.8, -0.2, -0.11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -57.41 + 57. Let k = h + 0.416. What is k rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*t**2 + t - t + 125*t**2.\nAnswer: 156*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -237 greater than -237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -42187, -42176, -42165, -42154?\n\"Answer: 11*t - 42198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -135*z - 59*z - 10455 - 7587 for z.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2228298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 992*l = -5960 - 4952 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 21, 4\/3, -2, 0.5 in ascending order.\nAnswer: -2, 0.5, 4\/3, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -10 (b) -7 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 l when three letters picked without replacement from {l: 3, u: 2, t: 9, a: 2, h: 1, v: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 138 and 211446.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 95874*s - 47947*s - 47937*s. Suppose 2*l - 12 = -2*l. Let k(g) = 2*g - 4*g + l*g. Determine q(k(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.01 + 3140\nAnswer: 3139.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 37335840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/32 and 1\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0936337 rounded to four dps?\nAnswer: 0.0936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -28, -18 in ascending order.\nAnswer: -28, -18, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 196 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of 1\/24*a**4 + 0*a - 5\/6*a**3 + 0 - 9*a**2. Determine m(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1.35732 litres?\nAnswer: 1357.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -20*g**5\/9 + 878*g**4\/9 + 11224*g**3\/3 + 7406*g**2 = 0.\nAnswer: -23, -21\/10, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1462819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2*s**3 + 1)*(2*s**2 + 2*s**2 - 3*s**2) + s**5 + s**5 - s**5 - 8*s**3 + 12*s**5 + 8*s**3 + (s**3 - 2*s**2 + 2*s**2)*(-3 + s**2 + 3).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1.6 * 0.47\nAnswer: -0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-37730)\/(-7161) - ((-6)\/93 + 0).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 + 17. Suppose 0*j - 3*j + y = 0. Let a = -1.8 + 2. Sort j, -0.3, a.\nAnswer: -0.3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1059 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**5\/c)**(1\/5) assuming c is positive.\nAnswer: c**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(1\/4)*j*j*j*j**(-1\/6)*j*(j*j\/j**(-4\/3))\/(j*j**27*j) assuming j is positive.\nAnswer: j**(-259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 4*m + 1 = 17, 4*m = j - 10. Let p = -147 + 154. Suppose p*b - 12 = b. What is the highest common divisor of j and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 12*v**2 - v. Let c = 2004 - 2003. Determine n(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 328 (base 16) to base 11.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 - 0. Let d(n) = -4*n + 5*n**2 + n**2 + 2*n - 6*n + n**3. What is the units digit of d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -1. Suppose 2*k + 6 = k. Let a be 6\/(-4)*4\/(-6). Let y(x) = 2*x - 6. Let d(w) = a*y(w) + k*o(w). Let r(s) = -s**2. Give r(d(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8243497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -26963, -26903, -26803, -26663, -26483, -26263, -26003?\n\"Answer: 20*o**2 - 26983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.7 + -4.3. Let q = y - -4. Which is the second smallest value? (a) -5 (b) q (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 54*w**2 + 106*w + 76*w - 65*w**2 to the form p*w**2 + z*w + b and give z.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1079437746.\nAnswer: 2, 3, 17, 89, 118907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 473 not equal to 1418\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -2, 3, -1, 4, -17 in descending order.\nAnswer: 13, 4, 3, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-61 - -59) + (17 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5 + 11\/((-242)\/114). Let x = 81\/2 - 42. What is the closest to -2\/5 in x, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 plus 285395045679?\nAnswer: 285395045679.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 22574458 and 67723375\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3143629, 3143648, 3143683, 3143734, 3143801, 3143884?\nAnswer: 3143983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2959385 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*p**2 - p**2 + 5*p**2)*(-128*p - 226 + 226) as n*p + i + k*p**3 + q*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*m**3*o**3 + 9*m**3*x - 15*m**2*o**2 + 3630*o**3*x + 35 wrt x?\nAnswer: 9*m**3 + 3630*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 2*i**2 + 2 + (18*i**2 - 38*i**2 - 32*i**2)*(2 - 3 + 0) as n*i + z + j*i**2 and give j.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00017704 rounded to six dps?\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2 - (-16 + (13 - -18))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 845.7395s?\nAnswer: 845739.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -1\/3, -0.26086426?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**3 - 15*m**2 + 2495*m - 29523. Determine o(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2885*m**3 - 1311 with respect to m.\nAnswer: -8655*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-70)\/8 - -10 - (-50)\/(-8). What is the second biggest value in y, -0.5, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (0 + -4 + sqrt(720)*-1)**2 + (-6*(sqrt(720) + sqrt(720) + 4 + (sqrt(720) + 0 - sqrt(720)) + sqrt(720)))**2.\nAnswer: 10464*sqrt(5) + 234589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1243, 1295, 1347, 1399?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (3210\/40)\/((-108)\/(-8)) and -103\/268.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d**2 - 5*d - 6. Give b(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-2 + 5))\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 311016254 and -15.\nAnswer: 311016239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 1 - (3 + 9 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -3*c**2 - c + 22. Let r(z) = -2 + 373*z**2 - 372*z**2 + 3 - 1. Let p(j) = -2*r(j) + s(j). Factor p(k).\nAnswer: -(k - 2)*(5*k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + (33 - 7) - (8 + -6)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 15 = v. Suppose 3*t = -31*g + 34*g - 3, -4*g = t - 4. Solve -5 = j - 3*d + g, -d = v*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from gtd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**18*((b**(-8)*b)\/b)\/b assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(96)\/sqrt(4))\/sqrt(8).\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbxqbvbhkkkbbqqhbk. What is prob of picking 1 q and 1 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 77531651233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/((q*q*q**(1\/2))\/q))**(-49))**3 assuming q is positive.\nAnswer: q**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4.204602 millennia?\nAnswer: 50455.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-7056)\/140)\/42)\/(14\/8 - 1)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d + 1. Let o(p) = 9*p**2 + 13*p - 1. Let u(k) = -4*k**2 - 90*k + 84*k + 0*k**2. Let b(x) = 6*o(x) + 14*u(x). Determine b(q) + 6*j(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**2 + 7*s + 72. Let u(h) = -3*h**2 + 10*h + 108. Let d(p) = -5*u(p) + 7*y(p). Is d(-14) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, 23, 0, 4 in decreasing order.\nAnswer: 23, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*z + 44 = 14. Find the third derivative of 26*h**3 - 12*h**2 + 1054*h**4 - h**6 - z*h - 1054*h**4 wrt h.\nAnswer: -120*h**3 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*s - 2*s + s)*(-3*s + 3 - 3)*(-1 + 2 - 2)*(2*s - s - 4*s) as n*s**2 + a*s**3 + o*s + d and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 678*r + 336 = 675*r, 0 = -3*g - 5*r + 400. Let t = 189 + 3. Calculate the highest common divisor of g and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 338017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 - -8. Let z = 3.892 + i. Let l = z + 0.108063. Round l to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -27 (b) -5 (c) -0.04 (d) 2 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -12 - -3186.819\nAnswer: 3174.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, r: 2, b: 1, z: 1, y: 2, h: 2}. Give prob of sequence zyr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 - 2*l - 1. Let x(u) = u**3 - 13*u**2 + 12*u + 3. Let d(h) = -6*j(h) - x(h). What is d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3942*j**2*o + j**2 - 4*j - 110*o - 1 wrt j?\nAnswer: -7884*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -6856*n. Let u(d) = -4*d. What is u(p(f))?\nAnswer: 27424*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -8 times 6.7207239\nAnswer: -53.7657912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (18*q**3 - 80 + 80 + 2*q**2)*(0 - 3 + 4).\nAnswer: 18*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 15\/27 - (-6 + 224\/36)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -w - 4*w. Let f(s) be the second derivative of s**2 + w*s**3 + 1\/10*s**5 + 0 + 3*s + 0*s**4. Differentiate f(h) wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -487 by -1178.\nAnswer: 487\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-72)\/(-12960)*320)\/(-28)\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**18)**39 assuming d is positive.\nAnswer: d**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -8*l**2 - 8*l - 5. Let a be f(6). Let v = -133 - a. Calculate the highest common factor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 47*h + 1. Let k = 413 + -411. What is the tens digit of r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * 0.44724436\nAnswer: 0.178897744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of -l**5\/20 + 5*l**4\/12 - l**3\/3 - l**2 - 203*l. Determine j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of -5*i**3\/3 - 3*i - 10. Let b(a) = 4*a**2 + 2. Give -3*b(j) - 2*s(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23 - 30*d + 25 - 7*d)*(30 - 30 - 2*d**4).\nAnswer: 74*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n - 2*n = 2*a + 1, 26 = 5*a - 3*n. Let j be a + (-20)\/(12\/3). Suppose 0 = -5*t + 2*z + 12, -4*t + 8*t - 10 = 2*z. Solve -j*u = -t - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 30, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19.965 - -19.265. Which is the second biggest value? (a) -0.4 (b) 95\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the third derivative of -19*s**4\/8 - 17*s**3\/2 + 2*s**2. Is w(-5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 + (24 + -10 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(49) - -3*sqrt(7056))\/((4*sqrt(84))\/sqrt(12)) + 0.\nAnswer: 37*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 34 = -2*s, 4*s + 2*n + 7 = -61. Which is smaller: -19 or s?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 465, 844, 1223, 1602?\nAnswer: 1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3929, -3094, -2263, -1436, -613?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -12308474, -24616944, -36925412, -49233878, -61542342, -73850804, -86159264?\n\"Answer: i**2 - 12308473*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 97412.7ns to microseconds.\nAnswer: 97.4127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -31 - -52. Let t = h + -14. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(384)\/sqrt(2)*3)\/(sqrt(4) + (sqrt(400) - 1*sqrt(400)) - sqrt(4) - sqrt(36)\/sqrt(144)).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**2 + 14*m - 15. What is s(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n + 9*n - 4*n)*(4 - 4 - 2)*(8*n**2 - 2*n**2 + 12*n**2).\nAnswer: -252*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-11\/5)\/(a*a\/(a**(-2\/9)\/a)))**22)**(3\/11) assuming a is positive.\nAnswer: a**(-488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/((l\/(l*((l**(-1\/7)*l)\/l)\/l))\/l)*l**13*l*(l**(-29)\/l)\/((l*l**(-16))\/l))**(-22\/9) assuming l is positive.\nAnswer: l**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -60*q**2 - 27731*q - 5076. Give r(-462).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 355 is divided by 103.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + 18*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 33558.548020837 take away 2?\nAnswer: 33556.548020837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -i**2 + i**2 + 2*i**2 + (3*i - i - 3*i)*(-i + 3*i - i) - 4*i**2 + 3*i**2 + 2*i**2 + 5*i**2 + 10 - 10.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3)*(4*n**4 + 2*n**4 - 3*n**4 - n**4 + 2*n**4 - 3*n**4 + (-3*n - 3*n + 5*n)*(-2*n + 2*n**3 + 2*n) + n**4 + 5*n**4 - 2*n**4).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -18*l**2 + 97*l + 500. Determine q(-5).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18, -11, 2, 21, 46, 77, 114?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 83758888 and -20.76701?\nAnswer: 83758908.76701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 1 - 1. Let w(h) be the third derivative of -4\/315*h**7 + 1\/504*h**8 + 0 - 4*h**2 + 1\/36*h**4 + 0*h**3 - 2\/45*h**5 + 1\/30*h**6 + j*h. Factor w(q).\nAnswer: 2*q*(q - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**2 - 12*y - 12. Calculate f(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from daanpgmmd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15.0595 + 0.0595. What is the fourth smallest value in 3\/5, -5\/3, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -8 + (13 - (-5 + 13)) + 1. What is the closest to 0.1 in w, -2\/15, -0.2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**3 + 6*h**2 - 3*h + 2. Give o(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 0.4, -19, 0.0383, 0.5, 6?\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, t: 3}. What is prob of picking 2 t and 1 c?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10247*w**3 - 40*w - 2*w + 9*w + 14*w - 27632*w**3 - 2*w**2.\nAnswer: -17385*w**3 - 2*w**2 - 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 120.045 - 0.045. Let g = c + -140.625. Let u = -0.175 + g. Round u to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 + 1 + 32 + (-99 - -59)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 + 11. Suppose 0 = k*l - 3*l - 4. Suppose -24*c = -11 + 11. Solve 4*f - 5*i + l = c, -5*f + 0*f - 23 = i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 614 and 316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 + 6 + -6)*-1405. Let p = 2441 - h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -577*t + 996*t = 29330 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 111*j**2 - 6*j + 13. Calculate the remainder when f(2) is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5799196.2 to the nearest 10000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -2*m - 8. Let g be t(-5). Suppose g*i = i + 43. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 9, x: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -156, -382, -672, -1020, -1420, -1866?\n\"Answer: a**3 - 38*a**2 - 119*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -3\/7*d**4 + 0 + 48\/7*d**3 - 45\/7*d**2 + 0*d = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5*(-10 - 1568\/(-154) - (-3 + 524\/220)). Suppose 5*n = 6*n - 13. Solve n = q + s*q + 2*y, 0 = -4*q + 2*y + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4412 and 4268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8856? (a) 0.1 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.069 (c) -3\/2 (d) -1\/4 (e) 1166 (f) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 0 + 3 = -y, -3*w = -5*y + 1. Let i(h) = h + 0*h**3 - 4*h**2 + 7*h**2 + h**3 - 979 + 978. What is i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3\/(-2) + 1)*2. Let w = -17.1 + 17. Which is the nearest to w? (a) -5 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 - 35 = -5*d. Let v be d\/6*(-16)\/(-28). Let p = 113\/7 - 116\/7. Sort v, 3, p in increasing order.\nAnswer: p, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 16 - 31*g + 14*g + 16*g - 7. Suppose -o + 3*w - 10 = 6*w, 0 = -o - 2*w - 5. Let j be q(o). Put 3, -5, j in ascending order.\nAnswer: -5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of -g**6\/120 + g**5\/4 + g**4\/12 - 2*g**3 - g**2. Let v be s(15). What is the highest common factor of 27 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92 is divided by (-76)\/684 + (-100)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f + 11. Let d be a(6). Suppose -s - 3 = 2*s, d*x = -4*s + 81. Let r(m) = -15*m - 12. What is the remainder when r(-5) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 1.3. Let y = 470\/9 - 52. Which is the closest to n? (a) 0.1 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -25*q**4 + 215*q**3 - 585*q**2 + 405*q + 270.\nAnswer: -5*(q - 3)**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59533 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 2 x when four letters picked without replacement from {p: 4, x: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 610 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**3 - 12*z**2 - 7*z. Let v(t) = -3*t**3 - 35*t**2 - 21*t - 1. Let o(g) = 17*q(g) - 6*v(g). Calculate o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 386310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 1 + 3)*((-3 - 1 + 3)*(1 - 5 + 5) - 6 + 2 + 3)*((2*d - d + d)*(-1 + 2 + 1) - d + 2*d - 2*d - 7*d + d + d) to p*d + c and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -8*q**2 - q + 2. Let b(s) = 9*s**2 + s - 3. Let d(v) = 2*b(v) + 3*x(v). Suppose 31542*k - 31565*k + 23 = 0. Calculate d(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2*k)*(-3 - 2*k + 3)*((-18*k + k + 2*k)*(k + 1 - 1) - 1 - 2*k**2 + 1).\nAnswer: -68*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 105 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00106823572 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 28162 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -90*z + 78*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/(-108)*57 + -11?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*p + 5 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/(-6))\/((-56)\/84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -14*y + 649. Let f be k(46). Put -1, 48, f in decreasing order.\nAnswer: 48, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 0, -o + 46 = -5*g + 206. Calculate the remainder when 62 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 41.914 - 42. Round p to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.001775 times 3\nAnswer: 0.005325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -5*u - 14110, 14*h + 2*u = 9*h + 35188. Does 55 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10445 - -2?\nAnswer: -10443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**5\/4 - 95*o**4\/4 + 109*o**3\/2 + 16851*o**2\/2 - 349785*o\/4 + 941625\/4 = 0 for o.\nAnswer: -93, -25, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.3 + -0.03. Let l = h - 0.37. Let k = -0.1 + -0.4. Sort k, 0, l in increasing order.\nAnswer: k, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5113.75586 to the nearest ten.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, x: 3, r: 2, y: 3, t: 1, i: 2}. Give prob of picking 1 x and 1 h.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 + 20*b - 75. Let n be k(15). Suppose -p - 4*p - 2220 = 0. What are the prime factors of p\/(-12) - (1 - n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x - 8. Let t be p(-8). Let b be 11 + -6 - (1 + t). Suppose 0 = b*j - 3*j. Solve 5*r = 2*q - 5, j = -3*r - q + 4*q - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o - t + 0 = -7, -2*o - 22 = -4*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -61 by -5.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107744*z**2 + 53871*z**2 + 53872*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2045, -2052, -2061, -2072, -2085, -2100, -2117?\n\"Answer: -f**2 - 4*f - 2040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -5*w - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 1314 divide 4748119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 130481532 - 79980065. Let m = z - 50501523.999933. Let b = m - -57. Round b to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 1\/3 (b) 1\/2 (c) 5\/6481 (d) 0.1743\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 10 + 10 = 0. Suppose p - 9 = 2*k, -p - 3*k + 12 + 2 = y. What is the remainder when 76 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 10853.\nAnswer: 86824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qtmqqqqmt.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 6, 2*a - 5*s + 23 = -0. Let t(d) = -2*d**3 - 5*d**2 + 4*d + 6. Let g = 60 + -40. Calculate the remainder when t(a) is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 2:03 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 3*p - 51, 3*i - 4*p - 26 = -2*p. Put i, -5, -1 in ascending order.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 99037.\nAnswer: 97, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3526 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/m**(-3))**(31\/5)*(m**2*m)\/(m\/(m\/m**(-10)*m)))**(-41))**(6\/13) assuming m is positive.\nAnswer: m**(-47724\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 PM and 7:22 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -439*r**3 - 319*r**3 + 644*r**3 + (-2*r**2 - 1 + 1)*(r + 3*r - 3*r).\nAnswer: -116*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (8\/(-100) - 2) + (-12 - -14). What is the closest to -11 in 1, 5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 15 = -3*h + 9, 3*o = 6. Suppose -j - j = -h. Suppose -4*a = -y - y - 12, j*y = -3*a - 4. Solve k - a*k = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31 - 34 = -5*a. Suppose 0 = 2*y - 3*q - 18, 8*y - 4*q - 40 = 4*y. Solve -5*k + y = -a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(-1)*k*k)\/k)**(-26)*k**(-1\/14)\/(k**(5\/2)\/k*k*k))\/(k\/k**5*k**7)**25 assuming k is positive.\nAnswer: k**(-550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k**3 + 5*k**3 + 2*k**3)*(4*k + k + 0*k).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 1304*h - 4841. Calculate j(4).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 AM and 11:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4329\/(-1924))\/((-48)\/256).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 21 - 1. Suppose 15 = -4*b - j*t - t, -9 = 3*t. Find the second derivative of -11*o**5 + 7*o + b*o + 16*o - 4*o wrt o.\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -721c1 (base 16) to base 7\nAnswer: -3654443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 335534*t**3 - 490080*t?\nAnswer: 2013204*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 - 6*s**2 - 2*s - 4. Let a be g(-6). Suppose 0 = a*p - 38 - 2. Solve 0 = -k - p*v - 4 - 21, 0 = 4*v + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2986ad + 3?\nAnswer: -2986aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 246960, 246953, 246950, 246951, 246956?\n\"Answer: 2*g**2 - 13*g + 246971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let o = -0.1696 - 0.4408. Let g = -0.6 - o. What is g rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 58, 3, 16, -1, 2, 0.03 in decreasing order.\nAnswer: 58, 16, 3, 2, 0.03, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**2 - w - 9. Let j be v(3). Suppose -9*o = -j*o + 9. Let n(p) = 2*p + 3. Calculate n(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 122526807 + 0.14.\nAnswer: 122526807.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 7*w**2 - 9*w + 10. Let i be a(3). Suppose 0 = -i*p + 24*p - 525. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 5*w + 94 = -4*w, v + 4*w - 15 = 0. Solve v*y - 84 = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 256 = b, -5*b = -2*k + 4*k - 199. Suppose 19 = -2*n + k. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 583 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 27828 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: Solve -1529*o + 77 = -1518*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -35 - -32. Is 6 a factor of (-4 - p)*(-69 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4136 and 7021696.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 37306, 74608, 111910, 149212, 186514, 223816?\n\"Answer: 37302*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 + 0 - (-1)\/1)*42\/42. Which is greater: -9\/374 or n?\nAnswer: -9\/374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 45.3 in -5\/11, 2\/691, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 6 + 3)*((1 - 4 + 1)*(3*u - u - 3*u) + 0 - u + 0 - 6*u - 5*u + 4*u).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:01 AM and 5:23 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -13004 smaller than -13002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2332182.\nAnswer: 2, 3, 388697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -59*b**3 + 4*b**2 + 4*b - 1. Let y(j) = 58*j**3 - 5*j**2 - 5*j + 1. What is -5*h(v) - 4*y(v)?\nAnswer: 63*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 20588962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 126*m - 459*m - 617*m - 48246 = 172*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (181831\/788)\/(221\/68)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t. Suppose 5*n - n = 0. Suppose 5*g - 10 + n = 0. Let u(q) = -g + 2 + q. Calculate i(u(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18 and 2048.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 34 + -3 - (-236 - -247)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 5, z: 1, i: 11}. Give prob of sequence ziy.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 255470 is divided by 36483?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1.4 - -1338\nAnswer: 1339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -58*m**3\/13 + 113170176*m**2\/13 - 105365282*m\/13 - 600372 = 0.\nAnswer: -2\/29, 1, 1951209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7432027.\nAnswer: 7432027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 117695.151 hours?\nAnswer: 700.566375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9788240 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 759 + -525. Let l = -233.9 + r. Let n be (-33)\/63 + (-2)\/6. Which is the biggest value? (a) n (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of q**7\/42 - q**3\/3 + 3*q**2. Differentiate y(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 34 divided by 57\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -189, 1, -1, 158, -5, 4, -23 in decreasing order.\nAnswer: 158, 4, 1, -1, -5, -23, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -126647*b*n*p*t**3 + 2*b*t**3 + 9*n*p*t**3 - 4394*n*t**3 wrt b.\nAnswer: -126647*n*p*t**3 + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*z**4 + 72*z**3 - 400*z**2 + 504*z + 980.\nAnswer: -4*(z - 7)**2*(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -255892561*q**3 + 230006*q - 230?\nAnswer: -1535355366*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -18, -5, -1, 16, 4 in descending order.\nAnswer: 16, 4, -1, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + w = -13, 2*v + w = -3*v + 17. Suppose 0 = v*p + 3*p - 9930. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -4*i - 36. Let w(u) = 2*u + 35. Let t(c) = 3*h(c) + 4*w(c). Let p be t(8). Let 0*x**2 + 4\/9*x**4 - 2\/9*x**3 - 2\/9*x**5 + p + 0*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 163.00000181 + -163. What is l rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -26090434\nAnswer: 3\/26090434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 8841 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5*(5832\/200)\/27.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 2. Let l(f) = -3*f**3 + f**2 - f - u*f**2 + 4*f**2 - 2*f**2. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*z - 17*z + 43*z + (4 - 2 + 1 + (-2 + 3 + 1)*(0 - 4 + 2))*(2 - 4 + 4)*(2*z - 4*z + z))*(-1 + 1 + z).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 2 a when four letters picked without replacement from {t: 8, d: 2, a: 4}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of -63*k**3 + 445*k**2\/2 + 12*k. Differentiate y(h) wrt h.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 4, -43 + 133 = 2*w - 5*z. Let n = w + -56. Let k be 4\/(n\/(-62))*2. Solve -5*f + 9 = -6, 5*q - 2*f + k = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2541 divided by 7\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, -3, 0.055, 0.94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138784?\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3601 or 25197\/7?\nAnswer: 25197\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -43\/1155 or 0?\nAnswer: -43\/1155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (12 - 8 - 6) + 3*2. Suppose 1 - 9 = -4*r, -5*g + 18 = w*r. What is the closest to 0 in 2\/5, -1, -4, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 3 = 4*a - 12, 5*a = -5*q + 50 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b**5 + 5480*b**4 - 16180*b**3 - 305680*b**2 - 721456*b - 437440 = 0.\nAnswer: -4, -2, -1, 10, 1367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -4 + 0 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = 3*o - 37, 2*o - 4*v = -v + 2. What is the greatest common factor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -685100 by 4.\nAnswer: -171275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10907104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of i**5\/20 + i**4\/2 + i**3 + 7*i**2\/2 + 3*i. Let m(t) = -6*t - 113. Let k be m(-18). What is p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 238*m - 2619. What is w(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 205105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -186167*k**2 - 102102*k**2 - 208 + 216.\nAnswer: -288269*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 71498, 71497, 71496, 71495, 71494?\n\"Answer: -v + 71499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -590 - 22202*u**2 + 44405*u**2 + 590 + 6*u**3 - 22203*u**2.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 PM and 1:15 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 104 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(1*6))\/((-220)\/(-9240))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -272380921.0000212 + 272380830. Let o = h - -91. Round o to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 112593 and 1677?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*p**2 + 790 - 5*p + 3*p - 795 to q*p + n*p**2 + w and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1017984\/(-1280))\/723)\/(11\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 681 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.066 - -438.066. Let h = 437.5651 - l. Round h to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/3 equal to -188143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (69\/15 + -4)\/((-2)\/(-1330)). Let y = 401 - w. Is y < 19\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 4. Let q(f) = f**2 + 6*f - 51. Let z be q(-11). Solve z = n*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from xkjgktxxkjfftjjkjkj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1322\/23 or -58?\nAnswer: -1322\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 51800 and 37100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -2 + ((sqrt(126)\/((sqrt(81)\/sqrt(9) - sqrt(9)) + sqrt(9)))\/(sqrt(128)*2))**2.\nAnswer: 775\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.7 + -0.7. Let w = -202.2 - -202.1. Which is the third smallest value? (a) 0.23 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2658625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -15.36 + 1.06. Let a = 54.2 - 48. Let u = h + a. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lnnnllnnnl. Give prob of picking 1 l and 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9582 - -977375\/102. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, s: 4, r: 1, i: 1, d: 10}. What is prob of sequence or?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -j + 1, 14 - 37 = -5*j - 3*o. Solve -3 = -r + j*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 150 - 190 - (1 + -25)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2603 (base 15) to base 2\nAnswer: -1111110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -93170490 divided by 2527?\nAnswer: -36870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gnggggbgggg. What is prob of picking 2 g?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 PM and 2:47 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - 11000101111010000101111?\nAnswer: -11000101111010000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 - 2. Let f = 8 - -41. Let y = f + 40. What is the remainder when y is divided by d(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.07 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -1.6 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.856 - -1.82. Put l, 0.3, 1\/7 in decreasing order.\nAnswer: 0.3, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 - 6. Let a be 1\/((-28)\/r + 3). Solve 0*l - l = 4*i - 9, -3*i + 28 = a*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*w - v + 3, -5*w + 7*v = 8*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1667 + 788. Let r = 878.054 + a. What is r rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.2 - -11601011?\nAnswer: 11601007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -11 >= 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8875309\/317786 + (-1)\/(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Do -20801\/2 and -10400 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -133\/1426800 and 103\/17400?\nAnswer: 1426800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -727 + 2142. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, x: 2, r: 2, s: 4}. What is prob of picking 1 s and 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k + 3. Let a(h) be the first derivative of h**2 - 13*h + 3. Let r be a(9). Calculate j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**2 - 5*p - 2. What are the prime factors of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*m = 33*m + 440. Calculate the remainder when 52 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(130) - sqrt(130)*1))\/(sqrt(120)\/sqrt(108)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/880*(-3080)\/(-1470).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -31, 1520, 5.\nAnswer: -31, 5, 12, 1520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 + 5*f + 10. Let s be g(-3). What is the tens digit of ((-21)\/s + 5)*-76?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 878*s = 874*s - 7, -3*s - 8 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 870*q - 434*q + 3*q**4 + 31 - 3*q**3 - 437*q as d*q**3 + t + l*q**4 + f*q + o*q**2 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -14372*t - 14373*t + 43144*t - 14391*t. Let s(j) = -4*j**2 + j**2 + j**2. Give s(b(f)).\nAnswer: -128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 193*r + 617 = -155 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 7\/(70\/8)*(-35)\/21\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 + (-3 + -15 + 11 + 9 - 6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004119394 to four decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -65*z**2 - 4*z + 0 + 6*z + 2. Let j(g) = -33*g**2 + g + 1. Let v(l) = -9*j(l) + 4*m(l). Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5, 3, -3, -13?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 387*w - 166095 = -144423 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6752 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6305062 millimeters in centimeters?\nAnswer: 0.06305062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:29 PM and 8:50 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 + 6 - 9 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 8184.75 to the nearest ten.\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of b**5\/30 + 20*b**2. Let h(k) = 2*k**2. Determine h(d(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be -29891*7\/((-14)\/(-2)). Let f = h + 269891. What is f rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 56\/16 - (1 - (-9)\/(-6)). Suppose -2*j = 4*n - 44, 5*j - h*n = 84 + 54. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -7*i + 507. What is a(-10)?\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 484*x**2 - 9*x**4 - 2*x**3 + 3 + 2*x**3 - 1 - 522*x**2 in the form u*x**4 + i*x + n*x**3 + d*x**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9.2 - 7.2. Is -14 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -11*l - 16. Let j be z(-2). Suppose c + j*c = 14. Suppose -b + c = 0, -3*b + 204 = -o + 4*o. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - 2c24?\nAnswer: -2c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -4472 (base 12) to base 16\nAnswer: -1d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-22)\/(-33)*(-6)\/(-4))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -2. Let t(v) = v**3 - 3*v**3 - 2*v**3 + 4 + 5*v**3 + 6*v**2 + 3*v. Let h be t(-5). Solve 0 = 4*w - 2*w - 5*p + n, -5*w = -p + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -142*p**2 + 284*p + 2. Let a be x(2). Put 4, -3, 5, 14, a in ascending order.\nAnswer: -3, a, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of t**6\/360 - 2*t**3 - 4. Let i(y) be the third derivative of h(y). Let j(p) = 3*p. Give j(i(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be 95\/3 + 4\/12. Calculate the highest common divisor of 288 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 279 = 3*w, -121 = -w + 2*h - 28. What is the highest common divisor of w and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -15*x**3 - x**2. Let s be m(1). Let o be (-22)\/(-8)*s\/(-88). What is the biggest value in o, -0.1, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000059116 rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(720)*-2*6 + sqrt(135)\/sqrt(48) + sqrt(45).\nAnswer: -561*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((sqrt(133) - (sqrt(133) + -6*(sqrt(133) + -1*sqrt(133))))*-3)\/(sqrt(112)*-2 - (sqrt(21)\/(sqrt(3)*1) - sqrt(7))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/7 (b) -4 (c) 0 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -5\/17, -2, 1, 0.1, 554\/7 in decreasing order.\nAnswer: 554\/7, 1, 0.1, -0.2, -5\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -188*k - 2*k**2 + 188*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 30 = -2*j + 36, -2*j - 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -13001 (base 4) in base 2?\nAnswer: -111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/(((d\/d**7)\/d)\/d))\/d)\/d*d*d**(2\/3)*d)**6\/(d**(-4\/5)*d*d**4*(d**(-1))**(-30)) assuming d is positive.\nAnswer: d**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-3\/7)\/(w\/((w**(-3\/2)*w)\/w)))\/(w\/w**(1\/2))**(-2\/31))\/(w**(-1\/3)*w**8)**(-26) assuming w is positive.\nAnswer: w**(255761\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6\/95 + -148\/665. Let o = 3 + -1. Let j = o - 5. Which is the closest to j? (a) -0.5 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/14*27\/(-3402)*-98.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 14400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 572*q**3 - 287*q**3 - 281*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 57 + 9. Suppose 0 = 2*f + 2*f - r. Calculate the remainder when f is divided by (6\/(-10))\/(2\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -10, 9, -131 in increasing order.\nAnswer: -131, -10, -8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1496 divided by -7.\nAnswer: -1496\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*z + 1128470 = 232456. List the prime factors of z.\nAnswer: 7, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 980, 931, 882, 833, 784, 735?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 1798042225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {f: 3, h: 3, b: 3, p: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6338.089ml in litres?\nAnswer: 6.338089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -67*m - 4*m**2 + 111*m + 168*m to the form a + d*m**2 + t*m and give t.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 61934 and 284758?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 5, 14, -0.4, -4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 264 = p. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21484 and 1148.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -4*q + 4*b + 9, -b = q - 5. Suppose 0 = n + 4*x - 47, -2*n + q*x = 3*n - 335. Suppose -444 = -m - n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -83 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 19*g - 62. Let f be r(12). Let u(c) = -f*c**2 + 5*c**2 + 8*c**2 - 11*c**2. Let d(x) = -3*x. What is u(d(k))?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 24 and -3122?\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1160294 plus -0.03?\nAnswer: -1160294.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 + 50 = 2*y. What are the prime factors of y - 9\/(45\/(-20))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 54*t**4 - 28*t**3 - 2*t. Let s(j) = -110*j**4 + 56*j**3 + 5*j. Let o(z) = 5*r(z) + 2*s(z). Suppose o(c) = 0. What is c?\nAnswer: 0, 14\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = 4*r + 24, -85*r - 15 = -4*q - 86*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*g**3 + 2*g**3 - 7*g**3 + (-4*g + 4*g + 9*g**2)*(-1 - 2*g + 1).\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + t - 5 + (-1 + 1 + 2)*(-2*t - 2*t + 5*t))*(9*t + 13*t - 5*t + (t + 5*t - 2*t)*(-4 + 0 + 5))*(-3*t - 2*t + 0*t)*(0*t**2 - 2*t**2 + t**2).\nAnswer: 315*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 minus -3204432545296?\nAnswer: 3204432545295.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -5*((sqrt(500) - (sqrt(500) + -3))*-6)**2.\nAnswer: -1623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -5*h + 9. Let d(t) = -t**2 - 41549 + 41549. Give o(d(b)).\nAnswer: 5*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 206903*o**4*v + 14*o**3*v - v + 1085468 with respect to o.\nAnswer: 827612*o**3*v + 42*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9096483 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the second derivative of -t**5\/540 - 5*t**4\/108 - 25*t**3\/54 - 10*t**2 + 19*t - 2. Let w(v) be the first derivative of q(v). Factor w(i).\nAnswer: -(i + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15005773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 - 2*m**2 - 4*m - 4. Let k be y(-2). Let r(o) = 7*o**3 + 7*o**2 - 19*o**2 + 23 - 8*o**3 - 7*o. What is the units digit of r(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -79 + 83. Let d(q) be the first derivative of 0*q**3 - 1\/14*q**j + 3\/7*q**2 + 1 + 4\/7*q. Determine c so that d(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, k: 3, l: 7, e: 3, j: 5}. Give prob of sequence jljb.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (57\/6)\/(10\/4*279\/(-1395)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -25 + (10 + -1 - (-6 - -8))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*l + 44*l - 185 = 0. Let o(i) = -i**2 - 5*i + 3. Let z(m) = -m**2 - 9*m + 6. What is l*o(y) + 3*z(y)?\nAnswer: 2*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -11230, -90240, -304680, -722266, -1410714?\n\"Answer: -11286*p**3 + p**2 - 11*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 7 = 17. Suppose 2*m = 3*u - 439578 + 2989578, -l*m = 3*u + 2550000. What is u rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17735269 - 59714649415\/3367. Let n = q + -1\/259. Do n and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -119399 + 119399. Let f = -2 + 2.4. Which is the closest to f? (a) 2 (b) 3 (c) 16 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2679.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -8 (base 13) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4488 + -48?\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of -a**9\/504 + a**6\/30 + 13*a**4\/6 + 17*a. Let p(r) be the third derivative of k(r). Find the second derivative of p(x) wrt x.\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -28*v**3 - 8*v**2 - 8*v - 11. Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -14*t + 97*t**2 + 14*t + (-2 + 2 + t)*(4*t - 3*t - 3*t).\nAnswer: 95*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/54*3*-6. Let d(l) be the second derivative of -1\/15*l**3 - 13*l - 1\/50*l**5 - 1\/15*l**4 + 0*l**b + 0. Factor d(a).\nAnswer: -2*a*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of c**4\/12 + 2*c**3\/3 + 33*c**2\/2 + 160*c. What is the remainder when o(0) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxfffxxfuxxxu. Give prob of sequence xu.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zkd when three letters picked without replacement from {g: 1, k: 2, z: 1, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence krmm when four letters picked without replacement from mtrttcrkmkmcm?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-2 + -4*sqrt(128))**2.\nAnswer: 128*sqrt(2) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + 17586?\nAnswer: 17587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of 0*l**4 + 0*l**2 - 1\/3*l**3 + 81 - 11*l + 7*l**5. Find the third derivative of t(r) wrt r.\nAnswer: 840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 252 and 99678.\nAnswer: 4186476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -2*z**2 - 335*z + 1530372. What is l(795)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -3.7*117\nAnswer: -432.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24*c**3 + 2*c**2 - 2*c - 100 wrt c.\nAnswer: -144*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 15\/4 (b) 1 (c) 247 (d) 0 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 2*a**2 - 9*a + 2. Let u(g) = -2*g**2 + 8*g - 2. Let h be 63*2*21\/(-14). Let c = h + 195. Give c*m(v) + 7*u(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -474.0001197 + 474. Round z to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 + 66*j - 824. Calculate b(49).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 2*p + 18. Let n be v(-12). Let t(i) = -i**3 - 6*i**2 - 2*i + 2. Let m be t(n). Let g be 727\/9 + m\/63. What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7 - 5. Let r be 18\/((-4)\/j*-1). Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -36210 (base 7) in base 11?\nAnswer: -7045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4770\/5565*(42\/4)\/((-9)\/(-12))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -711, -2, 90 in ascending order.\nAnswer: -711, -4, -2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 266 - 47*i**2 - 266 + (-1 - 2 + 2)*(2*i**2 + 2*i**2 - 3*i**2) - 41*i**2 - 5693*i - 139*i**2 + 5693*i.\nAnswer: -228*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 2*p**2 - 10*p + 29. Determine v(11).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (17*4\/6 + 1)*(1960 - 19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, h: 2, d: 1, p: 1}. What is prob of picking 1 k, 1 d, and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -3*r**3 + 20*r**2 - 11*r - 3. Let l(p) = -3*p**3 + 10*p**2 - 6*p - 2. Calculate -11*l(j) + 6*x(j).\nAnswer: 15*j**3 + 10*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*f**3 - 4*f**3 - 31*f**3.\nAnswer: -50*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1892554?\nAnswer: 2, 127, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + 58*u**2 + 14*u - 810. Let n be l(58). Solve n*p = 847 - 837 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.11 times 5?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -165 + -b4091?\nAnswer: -b4216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand o + 3*o + 3*o**5 - 4*o**5 + (o + 0*o - 4*o)*(-3*o**4 - 5*o**4 + 4*o**4).\nAnswer: 11*o**5 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 121 = -39*k + 566 + 686 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 364 and 1229501.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + 1 - 6) + -558 + 544 + 8 + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of 0 + 0*k**2 - k + 1\/2*k**3. Let c(d) = 61*d - 14. Let s(p) = -18*p + 4. Let u(j) = -2*c(j) - 7*s(j). Give u(y(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 - 7. Let j(i) = 2*i**3 - i**2 - 2*i - 1. Let f be j(-1). Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 507408, 507391, 507376, 507363, 507352?\n\"Answer: s**2 - 20*s + 507427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 691395 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -105280608*w**2 + 52717725*w - 1 wrt w.\nAnswer: -210561216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/49)\/n**7)\/(n**(1\/24))**(-1\/20) assuming n is positive.\nAnswer: n**(-163631\/23520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19008 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -5*h**2 + 4*h - 4. Give t(4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 2*u**5 + 26*u**4 - 290*u**3 + 910*u**2 - 1152*u + 504 = 0.\nAnswer: -21, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 - 68)*10*(-4)\/(-16). Let h = -502\/3 - s. Is -1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5376 divided by -24.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -331, -966, -2317, -4384, -7167, -10666, -14881?\nAnswer: -19812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1476, 4448, 8962, 15018, 22616, 31756, 42438?\nAnswer: 54662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1.071+1.65\nAnswer: 2.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 93289 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -24 - m**3 + 23 + 12 + (-3*m + 0*m + m)*(-2*m**2 - m + m).\nAnswer: 3*m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/2184 and 83\/13104.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*f - 24*f + 15*f)*(45 - 46 + 81).\nAnswer: -1360*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 354386 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 644325.2 millilitres to litres.\nAnswer: 644.3252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -19 by -147897.\nAnswer: 19\/147897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3734 + 3881. Calculate the remainder when 454 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -117593 - -0.0656.\nAnswer: -117592.9344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - 12210012?\nAnswer: -12210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, 0.2, -2.33?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -39568 + 39605. Let a(i) = 186*i - 1. Let d be a(1). Calculate the highest common factor of d and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -574*q - 5 = -575*q. Factor 4*b**5 + 12*b**2 + 18*b**2 + 30*b**3 + 10*b**2 + 25*b + 6 + 10*b**4 - 6*b**5 + 3*b**q.\nAnswer: (b + 1)**4*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1647364 is divided by 3822.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -20351*v - 41164. Calculate i(-2).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3553\/114 - 31)*-102.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**5 + 3*q**4 + 2*q**3 - 12*q**2 + 8*q.\nAnswer: -q*(q - 2)**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 62042339?\nAnswer: 124084678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -7*j - 7. Let s be n(-7). Suppose s = -3*c + 36. Sort c, 8, 2 in descending order.\nAnswer: 8, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2\/921 - 2587\/81048. Find the common denominator of b and -111\/220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 40*g**2 - 402*g - 82 = 0.\nAnswer: -1\/5, 41\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9314 or -7889?\nAnswer: -7889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -29150\/21 + 9754\/7. Let o(r) be the third derivative of s*r**3 + 0 - 31\/120*r**6 + 0*r**4 - r**2 + 0*r**5 + 0*r. Differentiate o(x) with respect to x.\nAnswer: -93*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 14\/3 and (6\/56)\/(0 + 90\/(-2740)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - ((-57)\/(-2))\/((-510)\/(-136)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2607720887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 - 5*f - 3. Let l be m(2). Let b be (-1)\/(-3 - 38\/(-13)). Let g = l + b. Solve 2 = -3*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.28 - 0.18. Let a = 1 - n. Suppose -5*z = -15, -13 = 25*p - 72*z + 76*z. What is the nearest to 1\/2 in a, 4, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 36642.016 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -39*p - 99*p + 15*p + 123. Let r = 0 + -2. Which is the third biggest value? (a) -5\/3 (b) -0.2 (c) p (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -4. Let d be -2 - (2 + -3 + y). Sort 0, 0.5, d in increasing order.\nAnswer: d, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 267 - -29. Suppose -z + 3*n - f = -6*z, -3*n = 9. Is 61 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2686, -6608, -13144, -22294, -34058, -48436, -65428?\nAnswer: -85034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + m + 45. Let b = 23 + m. Let u = b - 2. Let p(x) = 2*x - 5. Calculate p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 610 and 177022?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*a + 4*u + 131 - 167, -4*a - 15 = 3*u for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13*a*f*m + 2*a*m**3 - a*m + 6*a + 2*f*m**3 - 231799*f*m**2 + 373*f*m - f wrt m.\nAnswer: 12*a*m + 12*f*m - 463598*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 311866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1983915*u**3\/2 - 19839145*u**2 - 101179465*u\/2 + 255 = 0. What is u?\nAnswer: -17, -3, 2\/396783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 839.8288g?\nAnswer: 0.0008398288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-15 - 1242)\/((-6)\/4)?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4834? (a) -0.152 (b) -0.3 (c) -1\/4 (d) -2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21\/358 - -8359\/136398. Let c = 3388\/15621 + z. Are 0 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18328 and 36163672?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33334?\nAnswer: 2, 7, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -250814246 + 0.2786.\nAnswer: -250814245.7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 111, 239, 379, 531?\n\"Answer: 6*j**2 + 110*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2\/5 + 76058*b\/5 + 2052108\/5.\nAnswer: 2*(b + 27)*(b + 38002)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -478 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11796 - 11795.88954. Let j = m - -6.24254. Round j to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/6 + 10\/(-12). Let h = -0.465 - -0.065. Let t = -0.1 - -0.4. Which is the biggest value? (a) t (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -79, -156, -231, -304?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (60\/(-18))\/((-1)\/3). What is the third derivative of -26*d**2 + w*d**3 - 29*d**2 + 51*d**2 wrt d?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3*u - 24, 2*b + 0 = 6. Suppose f = c + 5, 0 = -4*f + u*c - c + 14. Suppose -f*t + 3 = -3*t. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 97831 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3*s + 1. Let f(d) = -28*d - 13. What is f(a) + 4*z(a)?\nAnswer: -40*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 56 + 1636*y**3 + 1506*y**3 + 8 - 3141*y**3.\nAnswer: y**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 - 16.3. Let v = 1.2 - i. Sort 0, 2\/3, v in ascending order.\nAnswer: v, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 + -17. Which is greater: 2\/279 or z?\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 2 b when four letters picked without replacement from {b: 13, u: 6}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*i - 80*i + 19 = -3*n, 0 = 5*i - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -203276, -406599, -609922, -813245?\n\"Answer: -203323*t + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2*x**3 + 2*x**2 - 2*x. Let c be f(-2). Let r(u) = 10*u**2 + 5. Let y be r(c). Suppose -5*k + 4*t = -275, 7*k - 4*k = -5*t + y. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-6))\/((-1)\/2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 181547?\nAnswer: 1633923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 3*l - 3. Let b(n) = 16*n**2 - 1. Let a be b(-1). Let z = a + -11. Give o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 (base 12) in base 15?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -1726*y + 2077*y + 3610*y - 1327*y + 3396*y as i + d*y and give d.\nAnswer: 6030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -9011.86 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -111353 + -10?\nAnswer: -111403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of -11*k**6\/30 + 5*k**2\/2 - 14*k + 1. Let p(w) be the first derivative of f(w). What is the first derivative of p(u) wrt u?\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 27420415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48\/(-8) + (-5)\/((-15)\/42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -3*o**2. Let p(x) be the third derivative of -x**4\/24 + 8*x**2. Calculate p(s(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 45869716117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*o**2 + 140 + 3*o**4 - 78 - 18*o**4 - 323 - 254 + o wrt o.\nAnswer: -180*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -36036*w**3 - 429*w**2 - 1716. Let n(f) = 419*f**3 + 5*f**2 + 20. Give -429*n(q) - 5*x(q).\nAnswer: 429*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**3 + 313*o**2 - 1190*o - 193. Calculate a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -19*17\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*d**2 - 167*d - 4*d**2 + 165*d - 30 + 0*d**2 to the form s*d**2 + z*d + i and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -125*i**2 - 3405*i + 11340. Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -0.4206689 (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -33 + -219a?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -19*y**2 - 26*y - 80. Let f(i) = -43*i**2 - 53*i - 161. Let v(u) = -4*f(u) + 9*x(u). Calculate v(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:00 AM and 7:59 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.25 - 0.35. Let j(l) = -l + 4. Let g be j(4). Suppose 7*z - 22 - 13 = 0. What is the third biggest value in g, -0.5, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.7 (c) -2\/5 (d) -1\/4 (e) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 750*r. Let t(u) = -2*u. Calculate t(g(x)).\nAnswer: -1500*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60 and 405720.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 2388.\nAnswer: 1\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2876, -4657, -5340, -4925, -3412, -801?\n\"Answer: 549*u**2 - 3428*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2, 4, -2, -63, 6 in descending order.\nAnswer: 6, 5, 4, 2, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/221 - (-94)\/799. Which is the second smallest value? (a) w (b) -39 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 16 * -373284.\nAnswer: -5972544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 14418928 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -f**3*s - 88114617*f**2*s - f*s - 3677*f + 549*s wrt f.\nAnswer: -6*f*s - 176229234*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2874 is divided by 2850?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (112\/42)\/((-5)\/((-570)\/4)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1068, 2671, 4786, 7413, 10552, 14203?\n\"Answer: 256*x**2 + 835*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.39 and 140239263811?\nAnswer: 140239263809.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from nlbqqwbqnbnnhn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20 - -22. Suppose -156 = k*h - 554. What is the tens digit of h\/4 + 9\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 8 + 2. What is the nearest to 1\/2 in 2\/9, r, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + 0 + -5 - sqrt(275) - 4*sqrt(275)*1 - (-5 + -1*sqrt(275))*-5)**2.\nAnswer: 2700*sqrt(11) + 23175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -28602.5 or 0.03?\nAnswer: -28602.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zezzzzzzezlzzzzzz. What is prob of sequence eell?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g - 14. Let m be c(-15). Let b(f) = 13*f**3 - 2*f**2 + f. Let q be b(m). Let j = q - -23. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.241 times 1.028848\nAnswer: -0.247952368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -3*p + p. Solve -7*a + 2*a + 5 = p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(-25)*p*p)\/p*p)\/p**37 assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2503*s - 105732 + 105732)*(-5*s**3 + 4*s**3 + 2*s**3) to the form u*s + t*s**4 + y*s**3 + z*s**2 + p and give t.\nAnswer: 2503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-891)\/54*(-8)\/3. What is the greatest common factor of p and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 0 - 10\/(-15)*-9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 33516450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -42142, -4.78, -2, -0.3, 2\/7 in descending order.\nAnswer: 2\/7, -0.3, -2, -4.78, -42142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 690055.\nAnswer: 5, 29, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -3*a**2 + 6*a - 2 + 2*a**2 + 6. Let g be s(6). Suppose 4*l = -l - 4*k + 33, -g*l + 30 = 5*k. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 835365696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -43d4a (base 15) to base 5\nAnswer: -23344440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -8*t**2 - 13. Let j(p) = 9*p**2 - p + 14. Let k(n) = -6*j(n) - 7*z(n). Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the third derivative of -2*b**2 + 41*b - 89\/60*b**6 + 0*b**3 + 169\/24*b**4 + 0*b**5 + 0. What is the second derivative of p(u) wrt u?\nAnswer: -1068*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of -m**8\/1680 - m**5\/40 - 5*m**4\/24 + 3*m**2. Let x(v) be the second derivative of c(v). Differentiate x(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -20607424 or -103037122\/5?\nAnswer: -20607424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -2*m**4\/7 - 2614064*m**3\/7 - 57508440*m**2\/7 = 0.\nAnswer: -1307010, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dte when three letters picked without replacement from tiddetedtedttee.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*c + 32 - 240 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6156\/3591*160\/(-48)?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 13*n**2*z**2 + 6*n**2 + 6*n - 384778*z**2 - 17430 wrt z?\nAnswer: 26*n**2*z - 769556*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2552, -10271, -23166, -41237, -64484, -92907, -126506?\nAnswer: -165281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -4*p**5 + 36*p**3 + 16*p**2 - 48*p = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 344*g - 185*g + 318 = 0. Sort 4, -3, g, 0, -34.\nAnswer: -34, -3, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 153*y - 48 = 150*y, -3*c = -5*y + 94 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32237315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 15 = -p. Solve 3*w - w + s = 2, 0 = p*w - 3*s - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.0345 rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 1616*d**2 + 10*d - 9. Let j(o) = -809*o**2 - 6*o + 5. Calculate -3*h(n) - 5*j(n).\nAnswer: -803*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14489996 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -70839*z - 566518. Calculate u(-8).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 71561437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2110315 + -120?\nAnswer: 2110195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (9\/12)\/(2\/40). Suppose -4*u = -57 - w. Suppose 0 = -v + t + 3, 0 = 4*t + 2 - u. What is the remainder when 19 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (110\/1925)\/(2\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from loouullulluclil?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 5:46 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1018 + 1043 = -2*h + 5*w, 5*h - 2*w = -52 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**3 - 3129*p**2 - 58602*p - 239616.\nAnswer: -3*(p + 6)*(p + 13)*(p + 1024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 292 a factor of 199436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 396.3579l?\nAnswer: 396357.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 188 minutes before 5:04 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 6:20 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 1578 divide 660490836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from ammapmqpxm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w. Let a(k) = 165*k**2 + 282*k - 60. Give l(a(q)).\nAnswer: 330*q**2 + 564*q - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 36 + 7. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -17658, -17651, -17644, -17637, -17630, -17623?\n\"Answer: 7*y - 17665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -22 - (56 - 73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 70 - 67. Find the second derivative of f*c + 7*c**5 + 13*c + 20*c**5 - 8*c**5 wrt c.\nAnswer: 380*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 - 12. Suppose -y - 3*y - 3*n + 5 = 0, m = -3*y + 2*n. Let c(u) = -3*u + 2. Let p be c(y). What is the highest common divisor of p and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -14033, -14045, -14049, -14039, -14009?\n\"Answer: r**3 - 2*r**2 - 13*r - 14019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*o - 121*o - 38 = -79*o + u, -2*o + 484 = 12*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 4*w = -12, -3*j = 3*w - 4 - 2. Suppose -x = -n + 109, -n + 86 = -5*x - 27. Is 10 a factor of (1\/(-2))\/(j\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -7*m + 7*m + 5 - 7*m**2. Suppose -2*f - 12 = 2*f. Let n(t) = 4*t**2 - 3. What is f*x(j) - 5*n(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 67, 131, 195?\n\"Answer: 64*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 861609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 4) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**2 - 28. Let c be h(-7). Let r = c + -16. Solve -2*n - 5*j - 5 = 2, r = 2*n + j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 18 = 4. Let n be (-4)\/r + (-10385)\/(-55). Suppose -n = i - 656. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 93\/146 and -89\/6.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.698 + 3.302. Which is bigger: -3\/50 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 574\/(-12)*(-3)\/(-63) and 35\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x - 1. Let b be v(-1). Suppose 35 - 35 = 153*s. What is the nearest to b in s, -2, -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + r**2 - 3*r - 3. Suppose 0 = -4*z - 4 - 4. Let k be y(z). Let o = -346 + 349. Put o, 4, k in increasing order.\nAnswer: k, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppppeeppp. Give prob of picking 2 p and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*-3*sqrt(119))\/((sqrt(70)*1)\/sqrt(10)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezeyhzz. What is prob of picking 1 h and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve v**5 + 0*v - 47*v**4 + 16356*v**3 - 16356*v**3 + 0*v = 0.\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14813 or -14810?\nAnswer: -14813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55, -107, -159, -211, -263?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 412 is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -0.3, -13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.099 (b) 0.1 (c) 38 (d) -5 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -316\/11*n**2 + 62\/11*n**3 - 2\/11*n**4 + 400\/11*n + 0 = 0. Calculate n.\nAnswer: 0, 2, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 21, -2\/7, -0.03, 7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1423)\/(-65458)*(-2 - 2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 10 = -0*g. Suppose 2*k + g - 28 = 0. Let b = k - 4. Solve 0 = b*x + 5, 3*y + 3*x - 5 = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 2*o - 6 = 0. Let p(r) = 5*r + o*r**2 - 2*r - 2*r**2. Let l be p(-4). Solve -2*t + 2*q = -2, l*q + 8 + 0 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*s**4 - 77*s**2 + 247 wrt s.\nAnswer: -12*s**3 - 154*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 59*v + 299. Give z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(2*3))\/(6\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j + 3*u - 5*u - 44, -5*u = 2*j - 22. What is the remainder when 72 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -7*k - 158. What is the smallest common multiple of 25 and c(-24)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 151\/321 + -2\/535. Let c = 195 - 196. Is c smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 759, 756, 753, 750, 747?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104 - 36 = -5*w. Suppose -r - 3*r = -w. Suppose -5*s = -6*s. Solve 4*p + 12 = 4*h, -3*p + r = 5*h - s*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15*j**4 - 19*j**2*v**3 + 3*j*v**2 + v**3 + 1047 with respect to j.\nAnswer: -60*j**3 - 38*j*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2.5, 3, -0.03, 24, -34, -0.24?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 - 3)*((-5 + 2 + 4)*(4*q - q - 2*q) - 3 + q + 3 + 5*q - 12 + 12)*(-2*q**3 + q**3 + 2*q**3 + (2 - 5 + 0)*(-1288*q - 31*q**3 + 1288*q)).\nAnswer: -658*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 74 and -181235.\nAnswer: -13411390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 65 at least -402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 2*a - 2*a - 24 = 0, 3*a - 5 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 - 2*k. Suppose 5*x + 75 = -0*x. Let m = 18 + x. What is r(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/v**(-5\/3)))\/(v*v**(-3\/4)\/v)*(v*v**(-2\/7))\/v**(-2\/27) assuming v is positive.\nAnswer: v**(-97\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -183, -140, -9 in decreasing order.\nAnswer: -2, -9, -140, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -5. Suppose 0*p = p. Let v be p - (3\/(-2) - -2). Put f, v, -4\/5 in decreasing order.\nAnswer: f, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4 and 1385204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 68.543 to the nearest integer.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1154?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**5\/7 + 6*a**4\/7 - 9*a**3\/7 + 4*a**2\/7.\nAnswer: -a**2*(a - 4)*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4798 = -70*v + 5218 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of -n**4\/90 + n**3\/5 - 8*n**2\/15 - 2*n + 122. Factor d(i).\nAnswer: -2*(i - 8)*(i - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 352 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -22*p - 6. Let w be q(2). Let x = 54 + w. Solve -2*s - x = -0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.7 in 5, -1, -6, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 906 and 1367?\nAnswer: 1238502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 - 5*f - 1. Let m be d(-4). Suppose 3*j + 2 = -5*x, -x - 26 = -4*x + 5*j. Suppose -m*g = -x*g + 870. Round g to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -135*d - 126 = 33*d - 798 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: 1317796.9 + 11\nAnswer: 1317807.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 321753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 7040, 7311, 7962, 9185, 11172, 14115?\n\"Answer: 32*c**3 - 2*c**2 + 53*c + 6957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7.6 - -4.2. Let s = -3 - u. Let x = s + -0.3. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -79, -115, -151, -187?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4453.\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -157 (b) -0.5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-7) - (-15)\/21. Let j be ((-12)\/((-6)\/2))\/y. What is the second derivative of -u + u**5 + 10*u**4 - 10*u**j wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3700 = -237*i - 4595 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**9)**18*(y\/((y**(-2\/9)*y*y)\/y))**(9\/7) assuming y is positive.\nAnswer: y**(1136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 39\/31 or -6?\nAnswer: 39\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 96*a**2 + 4*a - 76. Let d(o) = 94*o**2 + 5*o - 76. Let c(x) = 4*d(x) - 5*t(x). Differentiate c(f) with respect to f.\nAnswer: -208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4317\/4370 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14681489.\nAnswer: 17, 37, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (12\/(8064\/(-40)))\/((-35)\/(-63))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/x**0*x))\/x)\/x*(x\/(x\/x**(5\/7)))\/x*x**(3\/16)*x*x**(-23) assuming x is positive.\nAnswer: x**(-2811\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -24.8317 and -0.1?\nAnswer: 2.48317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 9.017164 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 4*z - 20. Let q be p(13). What is the hundreds digit of ((-976)\/q)\/((-2)\/68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 174 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 102 - 142. Let j = l - -44. Let s be -4 - 0\/(-4) - (j - 2). Let g(v) = 2*v - 1. Determine g(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17314444?\nAnswer: 2, 7, 88339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c = 5*z + 8*c + 87, z = -3*c - 120 + 106 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -379879 divided by -24\nAnswer: 379879\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 2*l**5 + 112*l**4 + 1534*l**3 - 112*l**2 - 1536*l = 0.\nAnswer: -32, -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (29 - 16 - 28)*(3 + 102*d - 73*d - 2) in the form l*d + k and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -24420 divided by 66\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13807619?\nAnswer: 7, 277, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the second derivative of -2 - 5\/6*n**3 + 6*n - 4\/3*n**4 - 1\/2*n**2. Find the second derivative of v(y) wrt y.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2731015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 161 - 158. Suppose 3*t + 16 = d, -2*d - r*d - 4*t + 4 = 0. Solve d*k + 27 = 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = 10*n - 6 - 125 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 - -1)\/(15\/(-38355)). Let u = f + 3816. 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 14887, 29986, 45083, 60178?\nAnswer: 75271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5\/6, 0.4, -4, -34, -0.4, -0.053, 2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 2 - 5572*r**2 - 10396*r**2.\nAnswer: -15968*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -22 times -3?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + 61 = 9*n, -10*n + p = -8*n - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the third derivative of 0*y + 0*y**6 + 0*y**3 - 2*y**2 + 0 - 5\/24*y**4 + 0*y**5 - 2\/35*y**7. Find the second derivative of b(t) wrt t.\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -65, -482, -1629, -3872, -7577, -13110, -20837, -31124?\n\"Answer: -61*c**3 + c**2 + 7*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -690*g - 2*g**2 - 642*g - 136*g + 1468*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6200*w**2 - 4050*w + 4050*w.\nAnswer: -6200*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - 26. Let t = g + 62. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 37*l + 192 + 163 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from sdsth.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is ((-5)\/15)\/((-1)\/8805) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-12)*(-9305)\/(-3722).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*x - 4*x = -1 + 190. Which is the closest to 2\/9? (a) -5 (b) -3 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 907.85387 to one dp.\nAnswer: 907.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -0.07 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 2:49 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 215 + -211. Let c be -32 - 2 - x\/(12\/(-9)). Which is bigger: c or -33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, l: 5}. What is prob of picking 2 x and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*a**4 + 2763*a**3 - 42546*a**2 + 45792*a - 6048 = 0.\nAnswer: -84, 2\/13, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5795 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 4*b - 28, -5*d + d = -5*b - 50. Suppose 0 = -r - 3*r. Solve r*w = 5*w - d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**3 - 92*i**2 + 484*i - 4214. Let p be j(87). Suppose -2*d + 4*u = 13 - 75, 0 = 3*d + 4*u - 113. Calculate the greatest common factor of p and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/70)\/((-24)\/80)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 43092, -4, -3 in decreasing order.\nAnswer: 43092, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 1\/4*x + 45 - 1\/4*x**3 - 45*x**2 = 0.\nAnswer: -180, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 837 - 1286*t**3 + t - 13*t**2 - 3*t**2 - 2*t + 16*t**2 wrt t?\nAnswer: -3858*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3023 + 10611 = 802*a. Suppose 995 = 2*c - 0*c + 3*h, 4*c = -4*h + 1984. Calculate the greatest common divisor of a and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes before 7:17 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -4*j - 6212545, 3*f = -2*j - j + 6212580. Let g = 62157 - f. Let a = 4058698 + g. What is a rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 4359 = 3*w - 4286, 132 = -33*s for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4409423.0423 + -4409903. Let s = 1176 - 696. Let d = s + b. What is d rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(3\/2)\/(q**8\/q*q*q))\/(q\/(q\/(q*q**(-2\/95))*q)*q)**2 assuming q is positive.\nAnswer: q**(-1797\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes after 9:59 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 77*r**2 + 85873*r + 85878*r - 171751*r + (2*r + 4*r - 4*r)*(3*r - 5*r + 4*r).\nAnswer: 81*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35700 = -9*g + 24*g. What are the prime factors of ((-3)\/(-6)*-1)\/(2\/g)?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -2*a**3 + 4*a**2 + a + 4. Let g be x(4). Suppose 0 + 6 = -m. Is 3*(3 + g\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 236873547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (8\/(-8))\/(2\/(-4)). Let 2*m**x + 3 - 5 + 4*m - 4 = 0. Calculate m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 + -14. Let b be 0\/(-2)*(-2 - -3)\/4. Suppose q = -4*j + 14, 0*j + 14 = 2*j + 4*q. Sort g, j, b in descending order.\nAnswer: j, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 2868?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (228 - (250 - 10)) + (-33 - (-1 - -1)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 q when three letters picked without replacement from {t: 7, q: 4, f: 4}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 - 40. Suppose -3*m - 15 = 0, 10 = 5*t + 2*m + 40. Sort -2\/9, t, r in increasing order.\nAnswer: r, t, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4.188? (a) -1\/7 (b) -1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, s: 5, z: 8, j: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oooooomomoomoo. Give prob of picking 3 o.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.03555237 - 4.\nAnswer: -5.03555237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 893666.\nAnswer: 2, 73, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 36*g - 255. What is v(41)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (7528 - 2680 - 3007)*(1 - 1 + 2*x).\nAnswer: 3682*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*v**2 - 4*v**2 - 15*v**2 + 28*v**2 + 66*v**2.\nAnswer: 114*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 4*t**2 + 3*t - 2. Let h be j(1). Let l = h + -15. What are the prime factors of (-1522)\/l + (6\/5)\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 23.2 + -23. Which is the third biggest value? (a) k (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2115794928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of -w**6\/15 - 6*w**5 + 31*w**4\/3 + 20*w**3 - 61*w**2 + 4340*w. Factor r(y).\nAnswer: -2*(y - 1)**2*(y + 1)*(y + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31229?\nAnswer: 11, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -3*j**3 + 3*j**2 - 3. Let o(x) be the second derivative of -3*x**5\/10 + 5*x**4\/12 - 5*x**2\/2 - 19*x. Calculate 5*k(p) - 3*o(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + 102?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a, -5*a + a - 4 = -2*i. Suppose -z - 89 = -i*c, -4*c + 78 + 80 = 2*z. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3.91, 0.3, -2 in ascending order.\nAnswer: -3.91, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 691 greater than or equal to 215173\/311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80650 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/405)\/(4\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of -3*r**5\/40 - r**3\/3 - 20*r. Let u(f) be the second derivative of t(f). Let i(l) = l. What is i(u(c))?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -41602, -42152, -42694, -43228, -43754, -44272?\n\"Answer: 4*d**2 - 562*d - 41044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 354*c + 20. What is the hundreds digit of h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 + -9.2. Let t = -3472 + 3463.005. Let a = r - t. What is a rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1220*h - 1251*h - 655*h to the form r*h + l and give r.\nAnswer: -3126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of 3*m**5\/20 - 243*m**4\/4 + 19683*m**3\/2 - 1594323*m**2\/2 + 4*m - 351. Factor x(j).\nAnswer: 3*(j - 81)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d**2 + 0*d**3 - d + 2 + 0*d**3 + d**3 to l*d + b + h*d**3 + y*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (13\/(1820\/8))\/((-15)\/(-150))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 4*j = -338 + 312, -53 = -4*a + 5*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 95*x - 7*x + 19*x - 7*x in the form z*x + v and give z.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = 4*n + 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6d - 9?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2981*l - 8949. Determine x(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 + 11. Let f = 48 - s. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-26)\/21 + (-4)\/(-6). Let u be 7\/(-35) + (-24)\/30. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, y: 3, e: 2, n: 1}. What is prob of picking 2 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be -4 - -1 - (-14)\/2. Let i(x) = 2*x - 3. Let l be i(r). Solve 2*u + 0*w + 3 = -w, 6 = -l*u - 3*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 88 + -71 - (20 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 108502698 to the power of 1\/2, to the nearest integer?\nAnswer: 10416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -138*r - 115*r + 173*r - 46*r + 3*r**2.\nAnswer: 3*r*(r - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -39221809316 + -1?\nAnswer: -39221809317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -39.5 - -2.5. Put c, 0.3, 0 in descending order.\nAnswer: 0.3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + -726296?\nAnswer: -726293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 350*k - 115*k - 123*k - 113*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -0.2.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -13014, -103831, -350290, -830211, -1621414, -2801719?\n\"Answer: -12970*t**3 - t**2 - 24*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3688204?\nAnswer: 2, 13, 19, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p + 4. Let d be u(0). Suppose -f - d*a = 4, a + 2 = 1. Let x(h) = 7*h - 15. Let c(b) = -3*b + 7. Let k(s) = -5*c(s) - 2*x(s). Give k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 12. Let y(j) = 2*j + 34. Let o be y(-18). Let i = o + u. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c**2 + 24275830*c = 0 for c.\nAnswer: 0, 4855166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 49466, 49696, 49850, 49934, 49954, 49916, 49826?\n\"Answer: y**3 - 44*y**2 + 355*y + 49154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.26, 0, 8\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 56063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(176) + -1)*-1)**2 + -1 + (-2 + sqrt(396) + (1 + sqrt(396))**2 - (5 + (sqrt(396) - (sqrt(396) + 0)))**2).\nAnswer: 10*sqrt(11) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 10:30 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -8524, 7, 6, 3, 90 in descending order.\nAnswer: 90, 7, 6, 3, -8524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 + 9*w**2 - 11*w - 18. Let p be r(-10). Which is bigger: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -28*z**2 + 83474 - 184*z**3 - 83474 + 14*z**2 + 5*z - 4*z in the form u*z + t*z**2 + g + v*z**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 5*g - 155, -l + 30 + 25 = -2*g. What is the smallest common multiple of l and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 9 - 6)*(-9 - 10*o**2 + 9) + 3*o**2 - o**2 - 5*o**2.\nAnswer: -73*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 671482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -35*w**3 - w**2 - 8*w - 3. Let j = 21 + -24. Let h be a(j). Let i = h - 326. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 118482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 6238.68ml to litres.\nAnswer: 6.23868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 22\/13955 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from hkkhkkkhhkk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 2.4. Suppose 3*j = 2*v + v + 15, -4*v - j = 0. Let t = -4 + 5. What is the closest to v in 4, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0*1051\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -147*v**3 - v - 2. Let j be h(-1). Let i = j + -146. Solve 2*n - g - 9 = i, 6*n - n = -g + 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (8*q**2 - 269*q**2 + 33*q**2)*(0*q**2 - q**2 + 2*q**2) in the form s + k*q**2 + o*q**4 + t*q**3 + j*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - 3. Let r = -1.9 + x. What is the smallest value in -0.2, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1975\/14 + -141. Let m(d) be the second derivative of 0*d**2 + 9\/20*d**5 + 3*d + 1\/4*d**4 + 3\/10*d**6 + 0*d**3 + j*d**7 + 0. Factor m(y).\nAnswer: 3*y**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -5*z + 2, 4*q + 2 - 16 = z. Let g = 7 - z. Suppose 10*k = 5*k - g*f + 10, 3 = -f. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*w + 8745 - 8689 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7011*m**3 + 3340*m**3 + 11431*m**3.\nAnswer: 21782*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -200267 or -200761?\nAnswer: -200267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 208 - 4?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 53228 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -15 + 3. Suppose 5*f - b*a - 80 = -2*a, -f = -a - 16. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 30*l**2 + 6*l - 7. List the prime factors of a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 3 = 5*m, -3*g + 1 = g + 5*m. Let p = 5 + g. Suppose -4*i - 20 = -p. Sort 5, i, 0 in ascending order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d - 82 - 18*d + 85 + 0 - 2*d + 0 + (2 - 3 + 2)*(-2*d - 3*d + 3*d) + 2*d - d + d.\nAnswer: -22*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor l**4\/3 + 8599*l**3 - 17199*l**2 + 25799*l\/3.\nAnswer: l*(l - 1)**2*(l + 25799)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 2*y = 3*y - 13, 5*i + y = 19. Let f(j) = -6 - 4*j**i - 3*j + 5*j**3 - 68*j**2 + 64*j**2. What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 35 - 34 = 0. Let l be (-3)\/(-6)*(a - 1). What is the closest to 0 in -0.4, l, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = c - 7 + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6727351 is divided by 2242445?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 211410 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*z**2 + 4*z**2 + 12*z**4 + z - 3*z**3 - 10*z**4 to i*z**2 + g*z**3 + w*z**4 + p + a*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 - 31*t + 242. Determine p(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -24 (base 5) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 199*a*o*q**2 - 406078*a*o - 14*o*q**2 + o*q - 9*o + 2*q**2 - q - 90 wrt a?\nAnswer: 199*o*q**2 - 406078*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -65531632 (base 7) in base 5?\nAnswer: -2414341101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -196 + 378. Let b = -70 + a. Calculate the greatest common divisor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 1 = -m, 5*c + 5*m + 5 = 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(500) + sqrt(500) + sqrt(500)*-2 + sqrt(500))**2 + -2).\nAnswer: -1992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 - 17300*q + 37411250.\nAnswer: 2*(q - 4325)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/25 and -27\/880?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 2*h**2 - 12*h + 6. Let o be t(6). Solve -p = -o*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15 - 44806*t**3 + 2*t**2 - t**2 + 44570*t**3.\nAnswer: -236*t**3 + t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 1. Let v(t) = -t + 4. Let w(u) = 5*g(u) - v(u). Let j = 23 - 26. Let k be 3*j*(-6)\/(-27) - 1. Give w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and 0.114123?\nAnswer: -0.0114123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 8151748.3 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 14830090 to the nearest 10000.\nAnswer: 14830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -7*l - 45. Give j(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of c**4\/24 + 16*c**2. Let u(y) = 13*y**2 + 11*y**2 + 11*y**2 - 30*y**2. Calculate n(u(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 3*u - 7993 + 7741 = 0 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 132*d = 136*d + 3*h + 20, -7*d - 76 = -5*h for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 9*r**2 + 1. Calculate the remainder when 19 is divided by f(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1058956?\nAnswer: 2, 264739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 113 divide 363472877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*n**5 - 4*n**5 + 0*n**5 - n**3 + n**5 + n**3 + (n**3 - n**3 + 2*n**3)*(n**2 - 1 + 1) - 36*n**5 + n**2 - 248*n**3 + 248*n**3.\nAnswer: -35*n**5 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -275, 0, -4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -17500 - -6?\nAnswer: -17483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) -0.0081 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - -1000001000110101?\nAnswer: 1000001000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 205 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -115906 >= -115899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -6. What is the least common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-3\/8)\/d)**(-15))**1 assuming d is positive.\nAnswer: d**(165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ziwiiiiiwiwwziii. Give prob of sequence wi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12649?\nAnswer: 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = -2*m + 4. Let n(h) = 26*h + 10*h**3 - 1 - m*h**3 - 26*h. Suppose -5*r - 1 = -4*r. Determine n(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, u: 4}. Give prob of sequence suus.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 9162481, 9162491, 9162501?\n\"Answer: 10*l + 9162471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 124546067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(45\/10))\/(10\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-87)\/(-12) - 2\/8. Suppose 1 - u = -n. Is 204\/9 + 2\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m + 21. Let k be i(-7). Find d such that 78*d**3 + k*d**5 - 5*d**2 + 24*d**4 - 72*d**3 + d**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.12 and -40.\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -13652.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 38 = -2*d, -3*k - 3*d + 21 = -k. Let q(t) = -k*t + 9*t - 5*t**2 + 4*t**2. Let u be (-38)\/133 + 33\/(-7). What is q(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 12441756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110000100100001 - 101110010000?\nAnswer: -110110010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*d**3 - 38*d**3 - 992*d**3.\nAnswer: -1099*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, -4, -127, -13034, 2\/27?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i - 11. Let r(f) = f + 11. Let c be r(-8). Let v be n(c). Calculate the highest common divisor of v and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2058, -4115, -6170, -8223, -10274?\n\"Answer: o**2 - 2060*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.82 and 0.074332592.\nAnswer: -0.745667408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1712 + -1709. Solve -p*h - 4 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert b87575 (base 13) to base 9.\nAnswer: 8127274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5388 and 71154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 112 divided by -29\nAnswer: -112\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zczznzzzzzzzzczzc. Give prob of sequence ccc.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 612773279.9 rounded to the nearest 10000?\nAnswer: 612770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(1*(2*sqrt(99) - sqrt(99) - sqrt(99)) + (sqrt(99)*1*-3 - sqrt(99))))\/(3*(sqrt(576) + (sqrt(576)*1*-1 - sqrt(576)))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 101.9993 litres to millilitres.\nAnswer: 101999.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 626 + -1113. Let g = -1139.5756 + 1626.5297. Let l = w + g. What is l rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1255 + -138. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 782815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 15891 - 10588. Suppose -q = -9*k + 5434. Is 69 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -29946851 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2*f + 3 + 1)*(14*f**3 + 19*f**3 - 9*f**3).\nAnswer: -48*f**4 + 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes after 11:19 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 17461687 equal to 17461655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 31.32 + 0.68. Let r = 36 - d. What is the smallest value in 0.1, 2\/7, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -4*l + 106. Let x be d(25). Solve 0 = -2*v - s - 5, 0 = 3*v + 7*s - 5*s + x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6394693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*h - 17 = 33 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 86 - 71. Solve 2 = -4*u + 14, 2*z + 5*u - l = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**3 + 10*w**2 + 9*w - 7. Let k(m) = -6*m + m - 34 + m**2 + 61 - 4*m. Let a be k(6). Is 31 a factor of r(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 650919 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 162 divide 4670279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 - 10*g**2 + 12*g + 13. Let f be j(-11). Suppose 2*d = f*b, -24 = -5*d + 2*d - 5*b. Solve 6*n - d*n - 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 78581.898 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 60 = -2*n. What are the prime factors of (-2)\/3 - (-5480)\/n?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/15? (a) 3\/4 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*t - 41 = -20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 7*i - 198. Let n be k(30). Let w(u) = u - 11. What is w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1610473?\nAnswer: 1610473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-356*m - 123*m + 112*m)*(-1 + 1 - 2) - 7*m + 9*m + 7*m.\nAnswer: 743*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be -50 - (-1 + 3) - (0 + 0). Let j = -25 - c. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (59\/2)\/((-2)\/(-4)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -161.793 + -15.207. What is the closest to 1 in 0.3, 1\/7, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3\/259 + 905\/100492. Calculate the common denominator of -39\/10 and x.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 61230.5ml?\nAnswer: 61.2305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (26\/(-39) + 62\/84)*7448\/168.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -57518 bigger than -57518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1322364 is divided by 66107?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 83716844 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 26964934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -7*k - 24, y + 2*k - 63 + 65 = 0. Solve -3*f - f + 2*s = 4, y*f + 2*s + 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of -15*n**8\/28 - n**5\/30 - 23*n**4\/24 - n**3\/2 - 40*n**2 + 5. Find the second derivative of f(y) wrt y.\nAnswer: -3600*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2318567 to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5\/3, -0.059, 30, -4, 2\/3?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, h: 2, n: 3, t: 6, v: 5}. Give prob of picking 4 t.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i + 18 = -5*s, 4*s = -4*i - 18 - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 62 + -40?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*m - 4*m - 3*m - 18*m - 128*m.\nAnswer: -111*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10782*f**3*l + 4*f**2*l**3 + 321*f**2*l**2 + f*l**3 - f*l**2 - f - 2240153*l**3 - l**2 - l wrt f?\nAnswer: 64692*f*l + 8*l**3 + 642*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -113 divided by 5?\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 100566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(228)\/(sqrt(12) + sqrt(12)*1 + sqrt(12)) - sqrt(19) - sqrt(19)) + sqrt(2299)*-3)*6*-2.\nAnswer: 416*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -2*d**2\/9 - 10*d\/3 - 52\/9 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 260*d + 259*d + 35, 0 = -3*d. Solve 4*j + l - 4 = g*j, 2 = j - l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 375 + -375. Let j(l) = 2*l - 16. Determine j(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6 - (1 - -35)\/(-6). Suppose -133*w + 140*w + 28 = o. Let z be (-1)\/(1\/(-5)*1). What is the closest to 2\/7 in -0.3, z, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c = -3193 - -4475. Let s = c + -5203\/4. Calculate the common denominator of -119\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 149 + -149. Suppose 20 = 4*n - 4*z - d*z, z - 35 = -4*n. What is the greatest common factor of n and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2157740 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**2 - 3*p**2 + 0*p**2)*(20*p**2 + 510*p - 510*p) + 3*p**4 + p**4 - 3*p**4 + (0*p**2 - 3*p**2 + 4*p**2)*(4*p**2 - 5*p**2 + 3*p**2).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9325, -37447, -84315, -149929?\nAnswer: -234289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5280 and 156.\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**5 + 2672*o**4 - 13762*o**3 - 472032*o**2 = 0. What is o?\nAnswer: -1341, -11, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 585 and 4592835.\nAnswer: 4592835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -647*p - 65985. Give x(-102).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 - 1)*(-2*c - 4 + 4 + (0 - 3 + 2)*(5 - 5 + 6*c)) in the form x + h*c and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 8:26 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2\/9)\/(v\/(v\/v**7)))**46 assuming v is positive.\nAnswer: v**(-2990\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 82 (b) -0.5 (c) -0.3 (d) -6531\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 7*v - 4*v. Calculate the common denominator of (v\/9)\/((-2)\/71) and -55\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*a**2*g**2 + a**2*k + 7*a**2 - a + g**2*k + k wrt a.\nAnswer: 10*g**2 + 2*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve c**4\/2 + 21*c**3\/2 + 31*c**2\/2 - 129*c\/2 + 38 = 0.\nAnswer: -19, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the third derivative of -257*m**7\/210 + 751*m**4\/12 + 2*m**2 - 647*m. Find the second derivative of h(i) wrt i.\nAnswer: -3084*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8679 + 8754. Let j(g) = 2*g + 120. Let b be j(0). What is the greatest common divisor of s and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of -b**8\/24 + 4*b**7\/35 + b**6\/15 + 3*b**2. Suppose r(m) = 0. Calculate m.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -3*l. Let v(k) be the third derivative of 1\/2*k**3 - 3*k**2 - 1\/120*k**5 + 0*k**4 + 0 + 0*k. Let t(p) be the first derivative of v(p). Give t(j(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6 + 0 - (-2 + 3). Let t(f) = 9*f + 5 - 6*f - 3*f**2 - c. What is t(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k - 3*k + k)*((-1 + 3 - 3)*(0 - 3 + 1) + 4 - 2 - 1 + 3 + 3 - 5)*(-4 + 3 + 0).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -q - 398*q**3 + 250 + q - 609*q**3 + 1194*q**3 with respect to q.\nAnswer: 561*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.38 + -1997905.0635\nAnswer: -1997907.4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Do 2531 and 331741\/131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.93 - 2.9. Let d = t - -0.97. Let i = -0.6 - -1. What is the smallest value in i, d, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-357)\/(-35))\/((-5610)\/3300)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, -0.11, -354\/2467?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**0)\/c**(-1\/2)*(c*c**(-5)*c*c*c*c)\/((c\/c**7*c*c)\/c))**(11\/3) assuming c is positive.\nAnswer: c**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/8? (a) -4 (b) 1\/65 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1127461211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2294 - 2288. Let p(h) = 20*h - 121. Give p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3365724 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -3*q**2 + 14697*q + 29406 = 0.\nAnswer: -2, 4901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 16 = -3*s, -3*s - 201*k = -198*k - 6. Let r = 21 + -12. Solve -s*y + r*y + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3 >= -3112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1017 + 1425. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -102\/6259?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -2*d**3 - 674*d**2 - 9039*d + 62. Calculate u(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 290.7289t?\nAnswer: 290728900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.24 in 3, -36, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 72246233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3958 - -3963. Let b(v) = 2*v - 41. Let l(y) = -y + 20. Calculate t*l(x) + 2*b(x).\nAnswer: -x + 18","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*d = d - 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 259 and -0.274.\nAnswer: -70.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, d: 3, b: 6, k: 1, c: 3}. Give prob of picking 1 d and 1 b.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1.5 times -1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/1414200 and -77\/707100.\nAnswer: 1414200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6777.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 12*l - 1. Is u(6) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3396, 3421, 3446, 3471, 3496, 3521?\nAnswer: 3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 9055685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 5*j - 2. Let g be o(-4). Solve -1 = 3*w - g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2829)\/(-6) - 3\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 10790*k - 4727. What is the ten thousands digit of l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 159 - 2*l - 159.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59 = -5*t - 3*z, 2*t - t - 3*z = 1. Let f(j) = -1 + 11*j + 15 - j**2 - 2*j. What is the lowest common multiple of f(10) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 99.53237 milligrams in tonnes?\nAnswer: 0.00000009953237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1\/18413 + 1085779\/10826844. Find the common denominator of a and -53\/93.\nAnswer: 18228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - ((2 - 47) + (-77 + 18 - -42))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*h - 3*h - 2*h)*(3 - 7 - 1 + (0 - 2 + 0)*(1 - 2 + 2))*(1 + 18 - 5) to the form k + g*h and give g.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d + 10 + 2. Let z = -1 - -9. Suppose d*a - 58 = -5*y, -2*y + a = -y - z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*j + 66 = 23*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(2\/25)*s*s*s\/s**(-1)*s)\/(s**(3\/5)\/s)**30 assuming s is positive.\nAnswer: s**(448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -869 + 28673\/33. Suppose 0 - 1 = u. Is u less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1136430, 1136432, 1136434, 1136436?\n\"Answer: 2*o + 1136428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 158151 and 357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) 365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27335 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/8 + 2\/(-8). Suppose -12 = 2*z + 2*x, x + 6 = -3*z + 2*x. Put 1, t, z in descending order.\nAnswer: 1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 2*p = -87. What is the lowest common multiple of 7 and p?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z**5\/7 - 2*z**4\/7 + z**3\/7 + 2*z**2\/7 = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -3*n**3 + 1149*n**2 + 34611*n - 35757 = 0. Calculate n.\nAnswer: -29, 1, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 289998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 - -14. Let b = t - 2. Suppose 0 = b*p, -k = -5*p + 2*p - 10. Solve y - 6*y = -k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(6*(sqrt(84) + (sqrt(84) - 1*sqrt(84))))\/(sqrt(12) + sqrt(12) + (-1*sqrt(768) - sqrt(768))).\nAnswer: -18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 10729075163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 202973, 405967, 608977, 812003, 1015045, 1218103?\nAnswer: 1421177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 86 + 11?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5938 - 1497*x - 1451*x + 2944*x.\nAnswer: -4*x + 5938","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) + (sqrt(13) + -1 - sqrt(13))*3 - (-2*(sqrt(13) + 0) - sqrt(13))**2.\nAnswer: -120 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 + (-305)\/10)*8\/(-2). Are 129 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.6 - -0.4. What is the biggest value in 2\/5, -0.06, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.46, 5, 2\/39, 2\/13?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 331234961.\nAnswer: 19, 17433419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1759931 and 6?\nAnswer: 10559586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 0*a**2 - 3 + 4*a**2 - a**2 + 3*a. Let y be v(-3). Solve -2*p - 5*u = -y, -4*u + 7*u - 25 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -13*l**4 + 376*l**3 + 1199*l**2 + 795*l - 10. Let v(r) = -19*r**4 + 564*r**3 + 1797*r**2 + 1193*r - 14. Let n(c) = 7*d(c) - 5*v(c). Factor n(z).\nAnswer: 4*z*(z - 50)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -91 - -96. Calculate the remainder when 27 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = 3*k - 7, 181*k = b + 185*k + 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y + 11. Let x be t(-9). Suppose 0 = -5*a + x*a. Suppose 5*q + o + 36 = 105, q - o - 15 = a. Solve -5*d - 28 = 4*p - 0*p, 0 = d + 5*p + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 3:12 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 14*w - 11. Suppose 7*q = 13*q - 24. Let i be h(q). Calculate the highest common divisor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 857 * -164.\nAnswer: -140548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -k - k + 3*w, -2*k + 2*w = -10. Suppose -2*v - 2*a = 2*v - 30, k = -4*a + 12. What is the units digit of (-10)\/(-2)*v\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + -5 + 2 + (63 - 32) - 4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of -29*y**5\/12 - 45*y**3\/2 - 25*y**2 - 64. Let z(m) be the second derivative of l(m). Find the first derivative of z(h) wrt h.\nAnswer: -290*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 3*a - 168, -2*o + 0*a + 64 = -2*a. Suppose 0 = 4*c - 129 + o. Suppose -5*b + c = -36. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1593a - 1?\nAnswer: 15939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + o - 2 = 0. Let f = -0.1 - -0.3. Let d be 1\/(((-4)\/(-6))\/2). What is the third smallest value in f, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*h + 38 - 78 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 252 and 3132.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 32? (a) 1\/2 (b) 3 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + -56 - (-421 + 459).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1821 = -5*d - 3*f + 10033, -4*f = -3*d + 4933. What is the greatest common divisor of 106 and d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -10*s**3 + 76*s**2 + 105*s - 601. Give u(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 59002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 5*h + 6. Let v be w(-4). Suppose -v*u = u - 354. Let f = -57 + u. What is f rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1*(1 - 1) + 0. Let z be (-2)\/2 - (-4)\/10. Suppose 9 = 5*a - 2*a. What is the nearest to u in a, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w = 6*w - 36 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(30) - -1*sqrt(480))\/(-2*sqrt(360)) - ((2*sqrt(243)*5)**2 - sqrt(243) - sqrt(243))*-3) + -3 + -3.\nAnswer: -653*sqrt(3)\/12 + 72894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.149*-0.082.\nAnswer: -0.094218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -544 - -2?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(896)*-6)\/(sqrt(18)\/(sqrt(9) + sqrt(81)) - -2*sqrt(162)).\nAnswer: 576*sqrt(7)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-4)*(0 + 2). Suppose 8 = d*l - 19. Suppose 5*b - l = -3*c, -5*b + 3*c = -c - 23. Sort -4, 0, b in descending order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p + 3. Let l(r) = -354*r + 21. Determine -2*l(g) + 14*y(g).\nAnswer: 694*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/34908247 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-14 + 4 + 9)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-44)\/(-3)*(-13 - -16). Suppose -2*o - 36 = -3*t, 4*o + 50 + b = -5*t. What is the lowest common multiple of 2 and (o\/(-6))\/((-2)\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 174 by -87.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33617?\nAnswer: 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*q - 10*q + 10*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 10) to base 6.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4415123479 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 138588051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 2548 divide 126179508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17494 = 9*a - 85016. Round a to the nearest 100.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -9 + 8 - r**2 + 0*r - 7*r. Let z be t(-6). Solve 2 = z*s - a, s + s = 2*a + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19.75 - 0.25. Let a = -20.2 - u. What is the nearest to a in -0.4, -3, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 - 9*s**2 + 9*s - 17. Let b be 16\/11*44\/8. Give i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = 2*d + 3*f, 4*d - f = 3*f + 152. Let z = -21 + d. Calculate the greatest common divisor of 24 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, y: 4, m: 4, i: 3}. Give prob of picking 1 m and 1 n.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/3*(-8)\/(-8). Solve 2*p - 1 = d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -265320+1896\nAnswer: -263424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 335738.69035 and 37?\nAnswer: 335701.69035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -60 + 89. Suppose p = 13*x + 55. What is the closest to 234 in x, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 144362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3, -5, -454?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 60, -8, 829, 3 in descending order.\nAnswer: 829, 60, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/3996 and -17\/144?\nAnswer: 15984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 - y**2 + 1. Let z(q) = -q**3 - 2. Let h(s) = 5*c(s) + 4*z(s). What is h(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 742 in -4, 30, 16, -2\/7, -1\/7?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 11 + (236 - 229)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 28*x**3 - 156*x**2 - 88*x + 96 = 0.\nAnswer: -1, 4\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08551076 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**20\/y*y*y**(-1\/14))**44)**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 5*t**3 + 23*t**2 - 105*t - 56. Let v be b(-8). Let g = -470\/7 - -67. What is the second biggest value in v, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 4*s + 8 = 0, -5*o - s = -3*s + 8. Let n be (o\/(-120))\/((-70)\/(-728)). Let y = n + -1\/150. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - g = -2*b + 1, -14 = -2*g + 2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 3*h - 69. Let g(f) = -5*f + 54. Calculate the remainder when h is divided by g(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -306076558.1 rounded to the nearest 1000000?\nAnswer: -306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 - 2)*(-23 + 102 + h - 42).\nAnswer: -4*h - 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -4*q - 5 - q + 0*q + 10*q - 6*q. Let r be -13 - -6*(-4)\/(-6). Determine i(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 3*j**2 - 3*j - 2*j**2 + 2 + 8*j. Let u be v(-3). Suppose -t - 14 = -3*o, -3*o = -0*t - 4*t - 11. Sort t, 4, u in increasing order.\nAnswer: u, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-231)\/35 + 8)\/(1\/10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 397409 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and -48.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -2*z**3 + 2*z**2 - 4*z + 9. Suppose 77 = 5*c - 68 + 130. What is a(c)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/(-112)*126\/(-3240). Let x(o) be the third derivative of 0 - r*o**6 + 0*o + o**2 - 1\/840*o**7 + 0*o**5 + 0*o**4 + 0*o**3. Factor x(i).\nAnswer: -i**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1663*t**3 + 1763*t**3 - 1777*t**3 + (-4 + 3 + 0)*(t**3 - t**2 + t**2).\nAnswer: 1648*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 3 + 4 + (-11 - -10) + (40 - 59)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 75 + 6. Suppose 0 = l - 3 + 1. Suppose 5 = -5*x, l*x + 2*x = f - z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x**2 + x**2 + 0*x**2)*(2 - 1 + 0)*(4 - 4 + 1 + 2 - 1 - 5 - 4 + 1 + 2 + (-2 - 1 + 1)*(0 + 0 - 1) + 3 + 4 - 4)*(x + x + x + 3).\nAnswer: 3*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 651 and 576786?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -46*m + 15 + 359*m - 1 - 52*m - 18 to f + p*m and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-9)\/135)\/(6 - (-1672)\/(-275)). Let j(t) be the third derivative of 1\/3*t**4 + l*t**3 + 0 + 14*t**2 + 0*t - 1\/60*t**5. Give j(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 4*d - 20 = 0. Let t = 1610.7 - 1543. Let q = 78.7 - t. What is the closest to 0.2 in d, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1640, 0.08648, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -8*q**5\/9 - 502*q**4\/9 - 370*q**3\/9 + 124*q**2\/9 = 0.\nAnswer: -62, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -2 - (-1 + -2) - (-4 + -862).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 225 and 7998975?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1363.7 - 2033.7. Sort 1\/2, -4, 0.3, u in decreasing order.\nAnswer: 1\/2, 0.3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 34609, 69206, 103783, 138340, 172877, 207394?\n\"Answer: -10*a**2 + 34627*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t**2\/7 - 317822*t - 44495880\/7 = 0. Calculate t.\nAnswer: -20, 1112397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -192 - -3?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1178288412*m + 579088825 with respect to m.\nAnswer: 1178288412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 10:53 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 7 = -5*t + 7*t, 0 = o - 3*t + 12 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1684867 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -69*q. Let s(z) be the first derivative of 2*z**3\/3 - 2. Calculate u(s(o)).\nAnswer: -138*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -679*g**2 + g + 1. Calculate w(-1).\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 46372854 and 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 40 and 17050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zf when two letters picked without replacement from {b: 1, o: 1, f: 2, v: 1, z: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(52)\/sqrt(4)*1 - (sqrt(65)\/sqrt(5) + -3)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {k: 2, n: 2, p: 1, w: 1, c: 2, e: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 - 54?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -17\/79941 or 1?\nAnswer: -17\/79941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9362 rounded to 2 dps?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from uaauiuauiuiiiuaii.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 260258289.\nAnswer: 3, 9049, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66990 divided by 11.\nAnswer: 6090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 + -22. Calculate the remainder when 18 is divided by 2 + 8 + 2 + j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 497157 to the power of 1\/2, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-6))\/1*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 648\/5 + -1948\/15. Which is the closest to -1? (a) -19 (b) o (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -0.1, -3, 273 in decreasing order.\nAnswer: 273, 5, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -327 divided by -454\nAnswer: 327\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(98)*-2 + -2 - (sqrt(98) - ((sqrt(98) + 1 - sqrt(98))**2 + 1))).\nAnswer: -21*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -5*u + 7. Let z(m) = 2*m + 1. Let x(i) = -g(i) - z(i). Determine x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -60420 rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1899, -1822, -1747, -1674, -1603, -1534, -1467?\n\"Answer: -v**2 + 80*v - 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:25 AM and 3:50 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 9*o + 49. Let p be z(-16). Let u = p - -476\/5. Let c(f) = -f**3 - 7*f**2 + f + 7. Let q be c(-7). Which is greater: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -233, -5, -23, 14 in ascending order.\nAnswer: -233, -23, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 162.8 - -1102.2. Let m = 1264.999998339 - d. What is m rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/15, -56, 2, 13, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1547000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 2*p**3 + 41*p**2 - p + 202. What is c(-21)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 17*d - 26 - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q + 849 = 870. Let o(t) = -3*t - 29 + 32 - t**3 + 6*t**2 - t**2. What is o(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.04? (a) -1\/11 (b) -1\/4 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -29932042 + 19707634. Let s = m - -27324408. Round s to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -8*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 46557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 943938 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k. Let o(v) = v - 8. Let c be o(10). Suppose 4 = 4*a - c*j - 2*j, j - 1 = 3*a. Calculate t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 520935, 520936, 520937, 520938, 520939?\nAnswer: 520940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (2 + (sqrt(52) - (sqrt(52) - sqrt(260)\/sqrt(5)) - sqrt(52))\/sqrt(4) - (1*sqrt(637) + -2 + sqrt(1300))**2))*5.\nAnswer: -18820 + 340*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - y - 6264. Let w = y - 4091\/2. Calculate the common denominator of -51\/11 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 271 a factor of 520958496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert b7 (base 13) to base 8.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - 7*o**2 - 2*o + 199. List the prime factors of u(-13).\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 210821?\nAnswer: 13, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 765, -9\/7, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -36 (b) 2 (c) 2\/7 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/1146 and 59\/14?\nAnswer: 8022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 3*o - 13. Let d be a(5). Suppose 3*h - d*h + 83 = 0. Let v = h + 123. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.18 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from enynygy. What is prob of sequence ye?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -5*i**4 + 490*i**3 + 4086615*i**2 - 1569861900*i + 3123373500 = 0. What is i?\nAnswer: -1014, 2, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the first derivative of 5*r + 63 + 0*r**2 + 0*r**5 + 5\/4*r**4 - 5\/3*r**3 + 2\/3*r**6. What is the third derivative of h(n) wrt n?\nAnswer: 240*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1116165 (base 7) to base 8.\nAnswer: 417403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51 and 14778.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -72068 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.273 - -2.533. Let x = 0.26 - i. Which is the second biggest value? (a) x (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, v: 1, q: 2, a: 1, d: 5}. Give prob of sequence dqa.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 + -6. Let c = -15 + z. Let t = c + 6.968. Round t to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 96*b**2 - 2*b - 1. Let k be a(2). Let g = 649 - k. What is the greatest common divisor of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -0.2, -312, 14 in increasing order.\nAnswer: -312, -0.2, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24803 - 24802.95. Which is the closest to 1\/5? (a) 16 (b) 4 (c) 1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1837 is divided by 607?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -139592091, -139592095, -139592101, -139592109, -139592119, -139592131?\n\"Answer: -q**2 - q - 139592089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 337280 is divided by 4113.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.05, -5\/2, 0.024 in increasing order.\nAnswer: -5\/2, 0, 0.024, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 + 6*k**2 + 0*k**2)*(-k + 13 - 13) + (3*k**2 + 0*k**2 - 2*k**2)*(-2*k + 0*k - 5*k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 36 and 2043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hyea when four letters picked without replacement from {e: 3, y: 8, s: 2, a: 3, h: 3}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of -33*y**7 - 14*y**3\/3 + 4*y + 368. What is the third derivative of x(n) wrt n?\nAnswer: -27720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 7:12 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75 + 30 + 46 + 999*c - 4790*c.\nAnswer: -3791*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from flllzlzf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor g**3\/2 + 5424*g**2 + 29817045*g\/2 + 1073731453.\nAnswer: (g + 74)*(g + 5387)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 v, and 1 m when three letters picked without replacement from {m: 4, b: 1, v: 2, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 96\/80*2\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 492584028 by -7561.\nAnswer: -65148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-5)\/((-15)\/(-12)))\/(-2). Let g = 4 + -2. Suppose v - 17 = -3*c, i*v = 3*v - g*c - 7. Calculate the highest common divisor of v and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163690.\nAnswer: 2, 5, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-268)\/(-92) + (-2 - (3 + -2)). What is the third smallest value in m, 0, 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -5 - ((-675)\/375 + (-1)\/5). Let z = -2 - -1. Which is the second smallest value? (a) z (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 3*g + 203 - 203. Let w = -6 + 8. Let h be r(w). Solve -z + h = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1797 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 69*b**2 - 220*b. Give o(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is k in -2*k**2\/5 + 12*k\/5 + 32\/5 = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - 130201?\nAnswer: -130141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a*t**3*x**2 - 6*a*t*x**3 - 2*t**3*x**3 - 6*t**2*x**2 - 2*t*x**3 + 23*x**3 - 193*x wrt x.\nAnswer: -36*a*t - 12*t**3 - 12*t + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.07 times 1\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-112)\/(-12))\/(-7))\/(14\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 6:49 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 7, s: 7}. Give prob of picking 3 s and 1 w.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(19))**2 + 4 - sqrt(57)\/(sqrt(18)\/sqrt(6))) + -4.\nAnswer: sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -537*x + 534*x = -15. Solve x*q - 5*y + 0 - 20 = 0, 0 = -5*q + 3*y + 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-3 + (3 + sqrt(2736) + -2 + (sqrt(2736) + -2 + sqrt(2736) + sqrt(2736) - sqrt(2736)) + 3)**2).\nAnswer: -73875 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -26*l**2 - 4*l - 10. Let m(y) = 5*y**2 - y - 5. Let g(w) = -d(w) + 2*m(w). Let q(t) = -5*t. Determine g(q(h)).\nAnswer: 900*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 - 3. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 752 + -737. Calculate the remainder when 29 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-40 - 42) + 54 + (-4 - 28)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (46 + -54 - (1 - 11)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (7 + (6 + -2 - 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 316 divided by 5?\nAnswer: 316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60862, 60539, 59664, 57961, 55154?\nAnswer: 50967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -531 - -531.244. Let k = -0.256 - d. Which is the third biggest value? (a) k (b) -35 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 - 39 = 4*o - 10*s + 8*s, 70 = -26*o + 25*o - 60*s for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 305 - 308. Which is the second smallest value? (a) 0.2 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -3*r + 6. Let n be a(-17). Let b(j) = -59*j - j**2 - 2 - 2*j**3 + 4*j**2 + n*j + 1. Let o(p) = -6*p**3 + 8*p**2 - 6*p - 2. Give -8*b(v) + 3*o(v).\nAnswer: -2*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 529 divide 171396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5 - -8) + 3\/(-1). Suppose v = -3*m + 2 + 4. What is the second biggest value in m, -0.07, -3\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1540 and 217910.\nAnswer: 435820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 161572 - -1.1.\nAnswer: 161573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j + 0*j - 3*j)*(1 + 2 + 0 + (-2 + 1 - 1)*(-6 - 4 + 8))*(0*j - 2*j + 3*j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -13312103113 (base 4) to base 15.\nAnswer: -2a9921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1523*f*n**2 - 22*f*n + 1543*f - 8 wrt n?\nAnswer: 3046*f*n - 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + (-3 - (2 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4559.624428 + 18465912197.375572. Let l = d + -18465916849.99999953. Let v = l - -93. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:19 AM and 1:29 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 + 9*i - 6. Let t be f(-10). Suppose 4 = t*v + 3*o - 19, 2*o = 5*v. Solve 3*x + 30 = 5*m, x + 19 = 4*m + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 306, 244, 142, 0, -182, -404, -666?\n\"Answer: -20*h**2 - 2*h + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 12:13 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 62915377 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = 3*v - 36, -5*y + 5*v = 142 - 97 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 28 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + -1)*5\/(5\/23). What is the greatest common factor of z and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 369 and 2340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -52*r - 1469. What is m(-29)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1067*s + 5347 + 4256 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3*(-1)\/(-2) + 9306\/(-6204)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 5*u = -9. Let c(q) = -447*q**3 + q**2 - q. Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03 * 1723239.\nAnswer: 51697.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8708 + 8711. Let m(d) be the third derivative of 39*d**2 + 1\/30*d**6 + 1\/15*d**5 - 1\/21*d**4 + 0 + 0*d + 0*d**k - 8\/245*d**7. Solve m(j) = 0.\nAnswer: -2\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes after 6:22 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (147 - 27 + 103)*(-24 + 10 + 11)*(m + m + m).\nAnswer: -2007*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2448 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-6) + (2\/(-56))\/((-5)\/110).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of -q**7\/15 + 37*q**6\/30 - 387*q**5\/20 - q**4\/6 - 2*q**2 - 6393*q. What is the third derivative of g(y) wrt y?\nAnswer: -336*y + 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 PM and 3:27 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + -1 + (-1 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/(-2) + 207\/46. Suppose t = -t. Find the second derivative of 0*s**5 + s**5 + 18*s - 3*s**k + t*s**5 wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 24*y**2. Let r(f) be the second derivative of 17*f**3\/6 - 10637*f. What is r(l(t))?\nAnswer: 408*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 209 + -442. Let d = 232.2 + o. Let l be ((-3)\/9)\/((-2)\/(-30)). What is the closest to 1 in l, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 33484468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Calculate -1*51.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -57900 divided by -3\nAnswer: 19300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 274352 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -4200404341?\nAnswer: 4200404335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27)*1 - (sqrt(3) + (sqrt(108) - -1*sqrt(108))))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from umjxcbx. Give prob of picking 1 m and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -962931 (base 14) to base 4.\nAnswer: -103113302333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of f**6\/1080 + f**5\/120 + f**4\/36 - 5*f**3\/6 - 19*f**2. Let p(h) be the first derivative of d(h). Solve p(r) = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*y**4 - 19*y**3 + 2*y**2 - 2*y + 32605.\nAnswer: -64*y**3 - 57*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 140 and -8?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 487*m = -408*m + 920*m - 75 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r - 3*r - 54 = 0. Let q = -11 - r. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.297 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3\/61 - -1\/1220. Calculate the common denominator of t and 77\/82.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2915693079?\nAnswer: 3, 13, 74761361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (6 - -6 - 20) + 11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.031438 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 12 - 7 = 4*k, k + 30 = 6*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 5*m - 16. Suppose -5*z + 12 + 8 = 0. Let h be y(z). Which is the second biggest value? (a) -1 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -14 + 13281?\nAnswer: 13269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -524.87 - -530. Let r = q + -0.13. Let k = -84.8 + 85. Sort k, r, 0.7 in decreasing order.\nAnswer: r, 0.7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 2*n + 2*n = -4, -4*p + 4*n + 20 = 0. Suppose 5*y - 2900001 = x, -6*y = -p*y - 3*x - 2320003. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(1\/2)*p\/(p\/(p**(-12)\/p)) assuming p is positive.\nAnswer: p**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from fufawwuwfffofazuafz.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 - (0 + 1)\/(-1). Suppose -4*k + 0*w + 12 = -w, m*k + 4*w = 12. Solve -4*n + k = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1636, 1, -203 in ascending order.\nAnswer: -203, 0.1636, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(-1\/4))**(-4\/13))**20)**(20\/9) assuming p is positive.\nAnswer: p**(400\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the first derivative of 5993*o**4\/4 + 22*o**3\/3 + 6*o**2 + 4*o + 7518. Find the third derivative of z(a) wrt a.\nAnswer: 35958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 13*c**2*j - 124*c**2 - 3765100*c*j + 210970 wrt j.\nAnswer: 13*c**2 - 3765100*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 226*g**4*r + 2*g**4 + 3*g**3*r - 274*g**2*r + 15*r wrt g.\nAnswer: 5424*g*r + 48*g + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 119 + -119.1. Which is smaller: 37 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/5? (a) 2 (b) -20 (c) 48.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a + -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 237*g**2 - 2*g + 299*g**2 - 152*g**2.\nAnswer: 384*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 825559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 12 + 164659?\nAnswer: 164671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 - 6*d**2 - 3*d + 10. Let w be o(-5). Suppose -4*x - 5*a = 1, -2*x - 2*x + 2*a + 34 = w. Suppose 7 - 1 = x*h. Is 1\/20 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 21*v**2. Let b(h) = 3*h**2 + 5. Let i(y) = y**2 + 1. Suppose 0 = -25*d + 20*d + 145. Let z = -34 + d. Let g(o) = z*i(o) + b(o). Calculate g(k(n)).\nAnswer: -882*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 159 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + -2004414142?\nAnswer: -2004414142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -13*o**2 + 8*o**4 + 15*o**2 + o + 1 + 5*o**3 - 4*o**3 - 11*o**4 in the form v*o**4 + a + w*o + b*o**3 + s*o**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r and 1 u when four letters picked without replacement from {u: 12, r: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -7 and -0.38.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 11 + w**2 - 4*w + 16 - 19. Let p be u(6). Is 6 a factor of 6672\/108 + (-2 - p\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 52 + 10*n**2 + 3*n**5 + 35*n - 37 - 30*n**3 - 25*n**4 - 8*n**5 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -43, -8, -39, 4, -3 in ascending order.\nAnswer: -43, -39, -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(112) - (sqrt(7) - (sqrt(7) - (2 + sqrt(700)))).\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**5 + 6*b**5 - 4*b**5)*(117 - 451 - 198 - 786).\nAnswer: -1318*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4795\/14 - 25\/(-10) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*m**3 + 5*m - 5*m + (-m - 3*m + 2*m - 5 - 2*m + 5 + 3*m - 4*m - m + 3*m - 2*m + 0*m + (-3 + 3 - m)*(3 - 3 - 2) - 3*m - 2*m + 3*m)*(794 - 794 + 11*m**2).\nAnswer: -51*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (28 + -1 + (108 - 117))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 840612236 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 + 1 - 58618\/158. Which is greater: -0.2 or p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 50.5599 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v. Suppose -2*f - 6 = -5*f. Let x(u) = 5*u**2 + u**f - 2*u**2. Determine w(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 5)*(-10)\/20. Sort o, 0, -4, -5 in decreasing order.\nAnswer: 0, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*v - 1100 = 43*v - 4*f, 0 = -5*v - f + 1391. Let p = 296 - v. Calculate the highest common factor of 289 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16459*u**3 + 1632*u**2 - 1632*u**2.\nAnswer: 16459*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -93545737\/320 + 292331. Let x = -21\/64 - q. Calculate the common denominator of x and 77\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9142144 is divided by 3047368?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -2*j**2\/3 - 2792*j\/3 - 974408\/3 = 0.\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 2*h, -2*h - 7 - 11 = -4*o. Suppose -5*f - 4 = -10*f + 2*w, 3*f - 5*w - 10 = 0. Let u = f + o. Calculate the least common multiple of 1 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4*-1*(-1 - -2). Let j = 1 + p. Let v = 10 - j. Solve t + 3 = 3*t + v*l, -2*t + 3*l - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-2 + 1 - (-21 + 22 + 6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - 9*w - 11. Let s be z(-8). Let n = -2\/37 + 45\/148. Let y = -357\/20 - -93\/5. What is the nearest to n in s, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.9 and 69311.\nAnswer: 69311.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 + -1 + (4 - -1). Let y(a) = -f*a + 1 + 15*a - a. What is y(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/8, -1, -51 in ascending order.\nAnswer: -51, -1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -75\/433 - 37753\/9526. What is the common denominator of h and 31\/(-22) - (1 - (7 + -6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -24*f - 111*f - 759*f**2 + 135*f - 1771*f**4 wrt f?\nAnswer: -42504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 187 - 192. Suppose 11 = 4*v - 9. Let i = -2 - -2. Sort v, u, i.\nAnswer: u, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*s + s + s + (3 - 5 + 4)*(0*s + s + s) + (2 - 3 - 6)*(0*s + 3*s - 2*s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110011101011111011010 + 101?\nAnswer: -110011101011111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p\/((p\/(p**14*p)*p)\/p))*p)**12*(p**(-2)\/p)**(2\/97) assuming p is positive.\nAnswer: p**(-16302\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 6*j**2 - 16*j**2 - 1)*(2*j - 6*j + 3*j).\nAnswer: 22*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 15) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 204 is divided by 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) 1 (c) -267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5.1 - -3.3. Let k = f - 1.4. Let q = -2\/305 - -931\/2440. What is the nearest to k in -4, 1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.9467, 1, -6.98, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, -0.9467, -6.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 3*q - i = -24, 10 = -2*q + i. Let x be -1 + 0 + (-224)\/q. Let r be 1\/(-6) + x\/6. Solve l - 4 = r*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 2*t + 2)*(148*t - 148*t + 40*t**3) - 5*t**2 + 5*t**2 - 4*t**4 to the form j*t**2 + r*t**4 + w*t + p + m*t**3 and give r.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-139)\/((-3)\/9*3) is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -326 - (-46 - 113) - -112.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 18*i**3 + 4*i**2 - 4*i - 4. Let x(p) = 19*p**3 + 3*p**2 - 3*p - 4. Determine 3*h(w) - 4*x(w).\nAnswer: -22*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 42*l - 19*l - 24*l. Let j be -1 + -2 + 2 - -4. Let h(t) = t - j*t + 3*t. Give h(w(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate s**3 - 23591893*s**2 + 253183013 wrt s.\nAnswer: 3*s**2 - 47183786*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.4 + -0.7. Let t = 1.7 - 4.7. Sort t, b, -5 in ascending order.\nAnswer: -5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**18\/b)\/(b**(-23)\/b))\/((b\/(b**(-4\/15)*b)*b)\/b**(-10)) assuming b is positive.\nAnswer: b**(461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12169710 and 846?\nAnswer: 12169710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 341032424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -34.5 + 21.7. Let y = l + 198.4. Round y to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -250 + 250 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + -5)*(-79)\/316 + 5\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -70.5 from 24.\nAnswer: 94.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 121394*t*z - 444993*z wrt t.\nAnswer: 121394*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from uuzuuznznnxzuzxnbx?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 3*f**2 + 2*f. Let y(x) = 7*x**3 - x**2 + 2. What is the least common multiple of z(2) and y(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 21702 - 41?\nAnswer: 21651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 105 a factor of 50118915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 132060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 1775 = -j, -5*h - 3*j + 4327 = -4556. Suppose 6*u - 9*u = -3*r + 5361, h = r + u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5\/3684 + -72779\/14736. Let g be (-8222)\/(-176)*(116\/(-37) - -3). Let h = g + 3\/6512. Calculate the common denominator of h and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5 + 6 + x - 3*x - 7*x + 8 - 8 + (0 - 5 + 3)*(x + 2*x - 4*x).\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*i + 2*i + 81. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -34 + 34. Solve -7*r + 3*r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/95 and 63\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 0 + (6 - ((3 - -3) + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 69425904 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 150879 divided by 5?\nAnswer: 150879\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 88501520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**5 + 30*b**4 - 70*b**3 - 30*b**2 + 72*b = 0 for b.\nAnswer: -1, 0, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 266\/(-456)*8\/28?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 5*(-3*(((-1 + sqrt(208) - sqrt(208)) + -2)*-5 - 2*(-3 + sqrt(208)*-1)))**2.\nAnswer: 15120*sqrt(13) + 57283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 10) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 15*i**4\/2 + 245*i**3 + 2640*i**2 + 9075*i - 6655\/2 = 0.\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 9*i + 5*i - 13, -k + 1 = -4*i. Which is the closest to 1.2? (a) -3\/2 (b) k (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-6*-1*sqrt(21) + (-2*sqrt(189))\/sqrt(9))\/(-6*2*sqrt(192))*-3)**2.\nAnswer: 63\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141528 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**2 - 39340*n.\nAnswer: 4*n*(n - 9835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -3*z**3 - 5*z**2 + 4. Suppose 4*n + 17 = -q, -n - 2*q + 6 = -3*n. Let g(r) = -4*r**3 - 5*r**2 + 5. Let y(p) = n*g(p) + 5*a(p). What is y(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (15862\/(-880) + 18).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 + 10*u**2 - 2*u - 20. Let h be i(-10). Let z = -6 + 8. Find the second derivative of -3*p - p**2 + h*p**2 + 7*p**z - p wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3411 - -6367. What are the prime factors of k?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/3, 0.49, -106?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, s: 8}. Give prob of picking 1 i and 3 s.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -6492*x + 34. Let m be f(9). Let w = m - -23006. Is 6\/(-15) + w\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*h*t**3 - 2556706*h*t - 32521025*h wrt t.\nAnswer: 9*h*t**2 - 2556706*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g + 2. Let d be b(0). Suppose d*y - 24 - 14 = 0. Suppose 6 = -25*x + 23*x, -5*z + 5*x = -65. Calculate the remainder when y is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a*a**(-2\/5)\/a*a*a*a*a))**(2\/33))**(-2\/27) assuming a is positive.\nAnswer: a**(52\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:25 PM and 8:11 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -cba (base 13) in base 2?\nAnswer: -100010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1100 (base 3) to base 14\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -17275 + -2368?\nAnswer: -19643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, 5, -22, -7, -1\/2, -10.\nAnswer: -22, -10, -7, -1\/2, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 3, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b + 3*g - 16, -4*g = -3*b - 12 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 11486 = k + 5*w + 11466, 0 = 4*k + 5*w - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 0.01, 0.4, -2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/1 - (-187 - (-1)\/(-1))?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/1159 and 49\/5?\nAnswer: 5795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -4066*y + 4. Let r(a) = -19167155*a + 18855. Let s(n) = -4*r(n) + 18855*t(n). Let q(b) = -b**2. Calculate s(q(l)).\nAnswer: -4190*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 35799, 76541, 117285, 158031, 198779, 239529, 280281?\nAnswer: 321035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 7864 divided by 212\nAnswer: 1966\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -23 (c) 7 (d) -4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17045123 and 3.\nAnswer: 51135369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of 0*h - 116 - 16\/3*h**6 + 3\/5*h**5 + 0*h**2 - 110\/3*h**3 + 0*h**4. What is the third derivative of k(l) wrt l?\nAnswer: -1920*l**2 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 5*t - 20, -3*w + 4*t = 9 + 7. Let l = 4 - w. Let i be ((-4 - -1) + (-64)\/(-24))*0. Put i, -3, l in ascending order.\nAnswer: -3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 9*j + 11. Let p be v(-8). Suppose -p*m = -4 - 20. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/(117\/(-264)) + 182\/26 and -5\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 2 = -17. Suppose 5*f - 68 = -x, -3*f = -b*x - 23 - 1. What is the derivative of -18*j + f - 18*j - 11 - 7 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/(-10))\/((-15)\/10). Which is bigger: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13, 5, -23, -83, -187, -347, -575, -883?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 5*l + 55, a + l = 6*a - 71. Let p be 3 + a\/(-6) + (-15)\/(-6). Suppose 5*c + 0*c + 31 = p*k, -3*k + 38 = 2*c. Solve -3*g - k = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 34, 801, -0.2, -1\/3, -0.1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-9))\/((-15181)\/(-969)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 219872963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 9:50 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 0*h = -768. Let o = 468 - 444. What is the highest common divisor of o and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.6? (a) 4 (b) 0.09 (c) -3 (d) -0.1 (e) 1.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 0, -2 + 162 = 4*g + 5*u. Let c be (1 + 0)\/(1\/10). Is (53928\/g)\/9 + (-8)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 - 1. Let k(g) = 265*g**3 - 17*g**2 - 14*g. Let o(b) = -5*j(b) + k(b). Let x be o(13). Round x to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.0506 - -0.9506. Sort o, -5, 7, 1 in descending order.\nAnswer: 7, 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 16424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -t - 66*t**2 - 51*t**2 + t.\nAnswer: -117*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 230811?\nAnswer: 3, 7, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -70*z**2. Let k(t) be the first derivative of t**2 - 2. Give u(k(h)).\nAnswer: -280*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1860 divided by -155.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lcck when four letters picked without replacement from {j: 2, l: 2, k: 2, c: 2, p: 7}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -554.6873 to one decimal place.\nAnswer: -554.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1339\/300 - -316\/75. Which is the closest to -1? (a) -3 (b) u (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*i - 5 = 9*i - 2, -10 - 31 = 5*q - 3*i for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10281*f**2 - 14*f - 7852695?\nAnswer: -20562*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 2098, 5 in descending order.\nAnswer: 2098, 5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (44 + -52 + 10 - (-10 + -1)) + -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 113 + -80. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 21 + 1 = 0, 2*y - 3*z = 1. Calculate the remainder when 2 is divided by (y\/14)\/(4\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the second derivative of d**3\/6 - 3*d**2\/2 + 13*d. Let y = 3 - -6. Let q = -4 + y. Calculate a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*t - 925, -5*t = -4*u + 1011 - 86. Let v = -182 - t. Solve -20 = 4*b + 4*s, 4*b + v*s - 5 + 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 69\/5 - (-2)\/10. Let o be ((-40)\/50)\/((-1)\/70). What is the highest common factor of n and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 + -14.3. Let q = -3.3 + 5. Let s = q - g. Which is the second biggest value? (a) 0.4 (b) -2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44152 minus -1?\nAnswer: -44151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-49)\/(-21) - 1\/3. Suppose w + k*l = 31, 2*w - 29 = l + 8. What is the units digit of (0 - w\/3)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f = 2*z - 18, -12 = -f + z - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -219*r**4 + 5*r**3 - 11*r**2 - 20. Let d(x) = x**4 - x**3 + x**2 + 1. Let i(p) = -10*d(p) - 2*l(p). What is the third derivative of i(b) wrt b?\nAnswer: 10272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/273 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -430 (base 7) to base 13.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5 + -3 + 137 + (-2)\/2. Suppose o - g = 1709. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 - 7. Let u = 1232.046 + -1231. Let f = u - 0.046. Sort -4, n, f in ascending order.\nAnswer: -4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 3*o - 5. Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 747 = 158*k + 115. Solve -4*m + 2 = 4*y - 14, 0 = 3*m - k*y - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2554?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4 + (2 - 4)\/(4\/(-32)). Solve -75*h + g = -79*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1146 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 5*s - 12. Let t = -2038 + 2051. Calculate j(t).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -3, 0 = 3*u + 5*b + 3 + 9. Let n(m) = -m**2 + 9*m + 19. Calculate the least common multiple of n(10) and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3410.97 rounded to the nearest 10?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 420361 - 1336?\nAnswer: 416022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.029943755 rounded to 4 decimal places?\nAnswer: -0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 520, 549, 580, 613?\n\"Answer: c**2 + 26*c + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 3*f**2 - 4. Let j be a(-4). Let d be (-8)\/j + 48\/22. Solve 0*p + z = -d*p - 5, -3*z = 4*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by 37628.\nAnswer: -3\/9407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 160 - 103. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from inniiiiwininn. Give prob of sequence wi.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5102*s + s**2 - 5102*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16781 - 41398 = -3*z. What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 440 - 271. Let c = -133 + t. What is the highest common factor of c and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4415 - 1?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8410486009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -3*r**2 + 146*r - 2985400. Let z be o(0). What is z rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -8*x**3 - 80*x - 3 - 10*x**3 - 27 - 66*x**2. Let a(j) = j**4 + j**3 + 1. Let h(f) = -2*a(f) + r(f). Let h(q) = 0. Calculate q.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 3*a + 22. Let i(c) = 2*c**2 + 5*c - 2. Let l be i(-5). Suppose 3 = -5*j + l. What is the remainder when u(-4) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7757866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**2 - 19*i + 17. Let f = -67 + 57. Let s be x(f). Suppose -109 = -4*u + s. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1588*o**3 - o**2*p + o*p - 1260*o + p + 899174 wrt o.\nAnswer: -4764*o**2 - 2*o*p + p - 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*k + 23*k - 2*d = -2340, 3*k - 2334 = -4*d. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1125107 is divided by 2953.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 6*d - 30 = 2. Put d, -3, 107 in descending order.\nAnswer: 107, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-28 - 13 + 19 - 68)*(2 + 3*g - 2) as i + h*g and give h.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve j = 8*j + 33*j + 400 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 6452, 14, -3, 2, 0, 9 in descending order.\nAnswer: 6452, 14, 9, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 9:48 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3953 and 2980763?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(210)\/(sqrt(5)*1))\/((2*sqrt(66) - sqrt(66))\/sqrt(11)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/4*105 - (3 - 0). Calculate the greatest common divisor of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1162*c**4 - 567*c**3 + 2*c + 311731?\nAnswer: -13944*c**2 - 3402*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 3*v**2 + 351*v + 2054. Let i be o(-6). Calculate the greatest common factor of 189 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 10, x: 2, s: 2}. What is prob of sequence jxjs?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00016396141 to 6 decimal places.\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*(-8)\/6*-6. Let u(h) = 6*h + 40. Let x be (-2)\/7 - 14\/(-49). Let c be u(x). What is the highest common factor of s and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 255 and 3945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v - 17. Let t be l(13). Suppose 10 = 3*f - t. Let o = f + -5. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {c: 1, n: 4, t: 3, m: 2, o: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -376*q - 7517. Let g be s(-20). Suppose -2*f = -9 - 3. Suppose -f = 4*u - 18. Solve -u*c = 6, i - 2*c = -0*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - u + 2*w = -32, 5*u + 2*w - 148 = 0. Let k = u + -51. Let g = k - -29. What is the highest common divisor of g and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 5 + 14 + 9*q - 11. Let s(l) = 17*l + 15. Calculate -11*c(i) + 6*s(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f - 25, -2*f = -z - 3*f + 15. Let d = -12 + 31. Let h(g) = 14 + 6 - z + d*g**2. Let p(k) = -2*k. Calculate p(h(i)).\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyocz. What is prob of sequence zo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16373 and 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -79, -200, -409, -724, -1163, -1744, -2485?\nAnswer: -3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 2*b + 25 = 0. Determine c, given that -c**2 + 5*c**5 - 8*c**5 + 3*c**2 + 2*c**b + c**3 - 2*c**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 2*v = 36 - 44, 0 = 4*h + 3*v - 62. Which is smaller: h or 34?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/3 + (-1092)\/36. Let c = 32 + f. Let r = 5 - c. Solve r = 2*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes before 10:45 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -10\/3 at most -0.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 320 = -4*m, 0*m - 3*m + 321 = -3*j. Find the common denominator of -113\/30 and ((-2)\/(j\/178))\/(144\/216).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 66723 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 9 times 1.3?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 8*q - 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 940 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/5)\/((-7)\/(-35)). Suppose j = -b*j. Suppose w - 4*w + 24 = j. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -169 + -6 + 6 - (1 + 4). Let m = 521 + w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -506835, -1013673, -1520513, -2027355, -2534199, -3041045, -3547893?\nAnswer: -4054743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2601 - 2594. Calculate the remainder when 1489 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8082390.73 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 125 divide 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/1566 and -25\/189.\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10 + -7. Let m = j - -19. Solve 0 = 2*q + m, 5*g + q = -15 - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100100110 + -10000?\nAnswer: -100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1441275798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1222200201220200 + -2?\nAnswer: -1222200201220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the second derivative of -t**9\/3024 - t**8\/336 - t**7\/168 + t**4\/6 + 5*t. Let b(h) be the third derivative of v(h). Let b(a) = 0. What is a?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1307 - -1318. Solve -6*r - c = -29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) 5\/4 (d) -0.2 (e) -0.3 (f) 9 (g) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 25251421 (base 6) to base 8.\nAnswer: 3070705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10.9 + -59. Let x = -59 - c. What is x rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 38\/427697 and -23\/243?\nAnswer: 103930371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/9 and -33\/459410?\nAnswer: 4134690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 466*x**2 + 39*x + 10. Is h(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/75*-5)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/13, 27, -376365, -2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 5*k + 1 = -54, g + 3*k + 5 = 0. Find the common denominator of 27\/(-9)*3\/g and 153\/(-28) + 2\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.0184 (b) -0.2 (c) 0.1 (d) 1.3 (e) 7 (f) -91 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -2*p. Suppose 0 = 23*v - 11*v - 15*v, 5*v = 2*s. Let x(l) be the second derivative of 0 + 0*l**3 + 1\/4*l**4 - 6*l + s*l**2. What is x(k(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3 + 638*v**2 + 102664*v + 400512.\nAnswer: (v + 4)*(v + 298)*(v + 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 r, 1 z, and 1 c when four letters picked without replacement from czrrrzrirrrrsi.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -2*j + 326, -b - b + 160 = 2*j. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 8, -3*z + 3*h - 8*h = -19. Let r(c) = c**3 - 2*c**2 + c - 1. What is the units digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6\/9 - 20\/(-6). Suppose -4*d - 16 = -2*w, -w + 0*w + n = -d. Suppose 22 = -5*z + 57. Solve w = 4*f - z*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -181, 4, -5 in increasing order.\nAnswer: -181, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -6*l + 96. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j - 4. Let r be c(-4). Let h(s) = -7*s**2 + 2*s + 4. Let w be h(-2). Let a = w + 36. Solve d = b, -r*b - a = -3*d + d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 3*q**3 - 2*q**2 - 2*q + 2. Let m be h(2). Let t = m - 10. Suppose 5*p = 5*o + 39499980, -o - t*o = -p + 7899980. Round p to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-34)*x**(-12))\/(x**19*x**(-21)) assuming x is positive.\nAnswer: x**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of -2*r**3 - 10*r. Suppose 4*f = 2*f - 4. Does 24 divide t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -8, -33 in decreasing order.\nAnswer: 4, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3287435 or -3287426?\nAnswer: -3287426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 45487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 82216 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 156 and 417807?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1447209.799844 - -1447206. Let w = t - -3.8. What is w rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v - 7. Let m be q(7). Let f(t) = 5*t**2 + 8 + m - 6*t**2 + t**3. Calculate f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 122*j**2 - 3*j - 3. Let h be r(-3). Suppose -3*v + 1128 = v - 4*o, 4*v + 4*o = h. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1 - 2245*q.\nAnswer: -2245*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22 + 51\/2. Find the common denominator of u and -13\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -6*s + 10. What is the units digit of q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 1, -9, 3, -15 in ascending order.\nAnswer: -15, -9, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -7*r - 45. Let n be l(-7). Solve -2*z - 2*z = -y - 2, -3*z - 2*y = n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -t**5\/5 - 2617*t**4\/5 + 424221*t**3\/5 - 15120891*t**2\/5 - 121999608*t\/5 - 218245104\/5 = 0.\nAnswer: -2772, -4, -3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(((-4)\/(-30))\/((952\/(-153))\/14))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.92 - -0.82. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10*30\/(-400))\/(18\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 158411*b**3 + 8*b**2 - 13*b + 5. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*u - 38 + 50 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 2*p**5 - 31222*p**4 + 122582556*p**3 - 5700252744*p**2 + 29795285808*p = 0. What is p?\nAnswer: 0, 6, 41, 7782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 308070 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6.4 - 9?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -309 = 4*a + 3*p, 0 = -544*a - 548*a + 1087*a + 5*p - 395 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhiih. What is prob of picking 1 i and 3 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from {x: 2, d: 3, q: 3, v: 5}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -10*p**2 - 25*p - 44. Let k(a) = -21*a**2 - 52*a - 87. Let b(q) = 2*k(q) - 5*x(q). What is the units digit of b(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 48\/(-72) + (-13)\/(-6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 9 - 99. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**2 - 8*n - 17. Let r be m(-7). What are the prime factors of (-1)\/(1\/(-2)) + (-230)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + g + 4089, t + 0*g - 1363 = -3*g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1963.669 meters?\nAnswer: 196366.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -31.589 + 60?\nAnswer: 28.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 0*c = 252. Suppose -z + 107 = -c. Suppose 2*d = 3*p - z, 0 = 3*d + p + 5 + 272. Round d to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 158 and -0.11.\nAnswer: 157.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8963, -8972, -8993, -9032, -9095, -9188, -9317?\nAnswer: -9488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -110231103 (base 6) to base 11\nAnswer: -1132046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 949580153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 17253\/46?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmem. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o - 4. Let p be h(3). Let m(l) = -l**2 + 15*l + 37. Let a be m(16). Let t(z) = 10*z - 6*z**2 - 3*z**2 + 12*z - a*z. Give t(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -d*k*p**3 - 26*d - 4*k*p**2 - 373*k - 27*p**3 + 3 wrt p?\nAnswer: -3*d*k*p**2 - 8*k*p - 81*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(104) - 6*-1*sqrt(104)) + (sqrt(104) - 6*sqrt(104)*-5))\/((sqrt(528)\/sqrt(11))\/sqrt(6) + sqrt(8) + sqrt(800)*-3).\nAnswer: -19*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**3 + 11*k**2 - 12*k + 3. What are the prime factors of g(-9)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n + 176 - 21. Let f = n + 34. What are the prime factors of (f - (-28)\/(-10)) + (-48)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 5, o: 7, k: 1}. Give prob of picking 3 y.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10549 is divided by 10522?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-7695)\/(-2052))\/(15\/416)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 1. Let c be z - (2 - 0)*-1. Let l be c\/((24\/45)\/4). Solve 0 = k - 2*j + 7, -2*k = -5*j + 2 + l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**2 + 43*z - 18. Let u(t) = t**2 + 43*t - 22. Determine 5*q(g) - 4*u(g).\nAnswer: g**2 + 43*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -43*n**2 + 68*n**2 + 101*n**2 to s + t*n + o*n**2 and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(1\/7)\/l*l)\/(l*l*l**(14\/9)*l*l*l))\/(l*l*l*l**(-16)*l)**2 assuming l is positive.\nAnswer: l**(1108\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 354957, 20, -3 in increasing order.\nAnswer: -3, 20, 354957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m + 17. Let u = -19 - -14. Let w(z) = -2*z + 16. Let p(n) = u*v(n) + 6*w(n). Let j be p(5). Is j > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5872 is divided by 2918.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 210 by 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 551478 divided by -479?\nAnswer: -551478\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the second derivative of -y**5\/80 - 11*y**4\/48 - 7*y**3\/24 + 147*y**2\/8 + 87*y. Suppose d(j) = 0. Calculate j.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 12:13 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -259144, -518219, -777294, -1036369, -1295444?\nAnswer: -1554519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 640 divide 6692147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the first derivative of -a**2\/2 + a + 10. Let n(z) = -3*z + 3. Let i(c) = -6*c + 6. Let j(k) = -6*i(k) + 11*n(k). Determine -2*j(q) - 7*m(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6 and -37.8?\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes before 2:10 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 504.5 + -475. Let x = 32.5 - d. Put x, -3, -1.64 in increasing order.\nAnswer: -3, -1.64, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3903 + -3*(3 + -1). Suppose 0 = 8*s - l + 313. Calculate the greatest common factor of 56 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -956\/771, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 3*j + 24 = 0, -2 + 24 = 4*y + 2*j. Suppose h - 184 = -y*h. Suppose h = 3*o - 2*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 904508 is divided by 418.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 594471 is divided by 1234?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -6*o**2 - 140*o + 42. Calculate q(-22).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 1:29 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -123, -227, -289, -291, -215, -43?\n\"Answer: 3*t**3 + 3*t**2 - 134*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 9*l**2 + l + 4. Let v(p) = -17*p**2 - 2*p - 7. Let h(i) = -11*c(i) - 6*v(i). Let q(s) = -4*s**2 - s + 2. What is -3*h(n) - 2*q(n)?\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c. Let b be (-6)\/(-21) - 2\/7. What is o(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 - -23. Suppose -4*q + 3 = w*l - 5, l + 3*q + 4 = 0. Suppose 3*n - 8 = -p, -p = 4*p + l*n - 50. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w\/(((w*w*w\/w**(2\/3))\/w)\/w)))**(4\/25)*(w**(-2\/17))**(-15\/4) assuming w is positive.\nAnswer: w**(853\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*y + 10*y - 6*y)*(-7*y**2 + 3*y**2 - y**2) + 52 - 7*y - y**2 - 52 + y**3 to the form a + h*y**3 + z*y + f*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 0*h**3 + h**3 + 2*h**3 - 1 + 2*h**2 + 8*h**2 as s*h**2 + v + u*h**3 + z*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -25 + 72. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9.6 + 18. Let k = d - 8.4000111. What is k rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 333387925 + 315\nAnswer: 333388240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -177 - -180. Find the first derivative of 440 - w*h - 875 + 13*h + 2*h**2 + 488 wrt h.\nAnswer: 4*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 2 = -f, -f - i - 6 = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/8)\/((-10)\/(-4)*(-105)\/3325).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 100*b**2 + 28*b**3 + 0*b**2 - 8*b**3 + b**4.\nAnswer: b**2*(b + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 675*l**2 - 1584*l**2 - 2 + 604*l**2 - 3*l.\nAnswer: -305*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 8 = 47. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/8 - (-33)\/12. Let c = 46 - 31. Suppose -3*s = b*s - c. Calculate the remainder when 5 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**6\/i)**(-2))**(-29\/4) assuming i is positive.\nAnswer: i**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 44887 times -11\nAnswer: -493757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -5*v - 19. Let x be t(-12). Let l = -36 + x. Let d(a) = a**2. List the prime factors of d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2200 > 2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(180)\/sqrt(4))**2 - (((sqrt(45)\/sqrt(3))\/sqrt(3))**2 + sqrt(5))*-6.\nAnswer: 6*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -265 = -21*s - 76 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 7, r: 2, e: 9}. What is prob of picking 1 r and 1 w?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*a + a + 2*s, -4*s = -4*a + 8. Suppose 0*l + 126 = -3*l. Let z be (l + 42)\/((1 + a)*1). Solve z = -6*v + v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2.04 and 1\/47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 88879113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - 1 - (1 - -16). Let s = 61 + p. Suppose z - s = -3*a, 3*a + 4 = 2*a. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = 3*n - 111. Let x(u) = u**3 - 22*u**2 - 5*u + 99. Let h be x(n). Which is the closest to -0.1? (a) h (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ykfvfykbky. What is prob of picking 1 b and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -16, 0, 3 in decreasing order.\nAnswer: 3, 0, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 1*((sqrt(68)\/sqrt(4) + 2)*2 + -1)*6.\nAnswer: 20 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.4 and -33.35.\nAnswer: -32.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -28 or -9341\/318?\nAnswer: -9341\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 - -2a?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 6*q**2 + 166*q + 887. Calculate c(-18).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2\/5 + 114*q\/5 + 116\/5.\nAnswer: -2*(q - 58)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/3018105 and -13\/2347415?\nAnswer: 21126735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - -1. Let s be a + 18\/(-3) + 5. Let p(x) = 2*x**2 - 2*x. Let m be p(3). Calculate the greatest common divisor of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the second derivative of g**4\/4 - g**3\/3 + g. Let b(a) = -4*a**2 + 2*a. Suppose -7*p + 132 = -p. Let d = p - 27. What is d*o(n) - 4*b(n)?\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 3 - 15. Suppose 4*u = -5*w + 36, h*w + 17 = -u + 40. Suppose 0 = 5*o - w*o. Is -5 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 71494, 71493, 71492, 71491, 71490, 71489?\nAnswer: 71488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.191 and -0.48531.\nAnswer: 0.09269421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1 - -1 - 70 - (-25 + 29 - 11) - -7\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - w + 5 = 0, -w - 45 + 46 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - 9. Let v be (4\/q)\/(1 - 24\/20). What is the third derivative of -31*a**v + 47*a**2 + 3*a**4 - 38*a**2 wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 0*b = t, -3*t = -5*b - 1. Let f(n) be the first derivative of n**4\/4 - 5*n**3 + 13*n**2\/2 + 14*n - 8. Let q be f(14). Solve -w = -q - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1490972 divided by 1.\nAnswer: 1490972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/1994482 and -41\/5?\nAnswer: 9972410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/11, -4\/7, 0.6, 4, 2, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 258 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 2, 1, -1\/3, -1\/7, -58, 14439?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -189294\/11 equal to -17210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mu when two letters picked without replacement from rsuswuurssrmswsswww?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -131*d - 404*d = -197*d + 465*d + 20075 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-2*sqrt(343) + 4))**2 - ((1*sqrt(7)*5)**2 - sqrt(7) - sqrt(63)\/(sqrt(36) - sqrt(9))).\nAnswer: -446*sqrt(7) + 5377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-54)\/3 + (-2)\/5 + 463203\/(-6955)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 0 + 806 + -816 + (-1 - -19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 10*y + 1)*(2 - 2 - 2) - 3 + 3 + y to the form k*y + i and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lslmemmllkmslk. What is prob of picking 1 l and 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 437.0875um to nanometers.\nAnswer: 437087.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5536 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*f**2 - 1 + 1)*(2*f**2 + 4*f - 4*f) + 36 - 67 + 32 - 166*f**4 to the form z*f + o*f**2 + g*f**3 + s*f**4 + r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 2*g + 0)*(3*g - g**3 - 3*g) + 597*g**4 - 353*g**2 + 353*g**2 as n*g**4 + l*g**2 + y + r*g**3 + c*g and give n.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21 - 13. Suppose 32 = 4*v + 2*s, -v + 3*v - 5*s = -n. Let q(d) = 71*d**3 - 3 - 70*d**3 + v*d**2 - 6*d - 3. Give q(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26294297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of -43*y**3 - 9*y**2\/2 + 6391*y - 5914. What is the first derivative of w(r) wrt r?\nAnswer: -258*r - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**2 + 56*h + 325. Determine y(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3094742191 to the power of 1\/2, to the nearest integer?\nAnswer: 55630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45104602 is divided by 15034863.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve a**3\/6 + 725*a**2\/3 + 2897*a\/6 + 724\/3 = 0.\nAnswer: -1448, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -3454055 by 1.\nAnswer: -3454055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/101706 and -71\/32361?\nAnswer: 711942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 11901 * 0.03434\nAnswer: 408.68034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fsmmeeevfeeffvffefe. What is prob of picking 3 e?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 141893680?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 times 57?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + ((sqrt(704) - (1 + sqrt(704)))*4 + 6*(0 + sqrt(704)) + sqrt(704))*1*3 + -1)**2.\nAnswer: -3696*sqrt(11) + 310585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -3*a - 7 - 5*a**2 - 4*a + 12*a**2. Let g(j) = 8*j**2 - 8*j - 8. Let f(o) = 8*o**2 - 8*o - 8. Let b(t) = 5*f(t) - 6*g(t). Determine -6*b(p) - 7*i(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3611*z = -8351*z - 414218 - 385943 + 237947 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the first derivative of t**2\/2 + 2. Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -1924479*i**2 + 12420*i + 3105. Let w(m) = -1240*m**2 + 8*m + 2. Determine 4*f(h) - 6210*w(h).\nAnswer: 2484*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 23600959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(56)\/(2*sqrt(32)\/sqrt(4)) + sqrt(567) + 1 + sqrt(567) + 5.\nAnswer: 6 + 37*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -226, -816, -1624, -2506, -3318, -3916, -4156?\n\"Answer: 24*s**3 - 253*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the third derivative of 0*f**3 - 1\/24*f**4 + 0*f + 0 + 6*f**2. Let l(y) = -4*y**2. What is q(l(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of -p**5\/60 + 5*p**4\/12 + 13*p**3\/6 + 6*p**2. Let x be i(11). Suppose -300 = -x*g - 3*g. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10066*y - 3*y**2 - 5*y**2 - 1944*y + 10*y**2.\nAnswer: 2*y**2 + 8122*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.19636796 and -5.\nAnswer: -4.80363204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-27*n + 82*n - 24*n)*(-4 + 4 - n**3) as t*n**3 + m*n**2 + l*n**4 + o*n + k and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 - -38. Let k(w) = -8*w**2 - 4*w - 2. Let j be k(-2). Let a = j + h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3203461697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*m**2 + 5*m**2 + m**2)*(2 - 24 - 15).\nAnswer: -74*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**3 - n**3 + 2*n**3)*(0*n + 5*n - 2*n) + 141*n**2 - 17*n**4 - 141*n**2 - 3*n**4 + n**4 + n**4 - 3*n**4 - 2*n**2 - 6*n**4 + 3*n**4.\nAnswer: -21*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 20 * -0.4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.7 - 3.7. What is the smallest value in 2\/7, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -563 + 795. Is x greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -5*l - 2, 2*a + 0*l - 12 = -2*l. Let n = -388986 - -3538986. Let u be n\/(1 - 6\/a). Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -883\/2667 + -2\/889. Which is the smallest value? (a) -0.35 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -0 - 4. Suppose -v*i - 22 = -5*c, 5*c = 6*i - i + 25. Let r be (1 + i)\/(3\/3). Solve 18 + 2 = 4*s, 2*p - 5*s + 31 = r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/53723 <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/10 and 26\/109177935.\nAnswer: 218355870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the first derivative of 2*q**3\/3 + 7*q**2 + 5*q + 30. Let a(s) = s**2 + 6*s + 2. Let y(d) = 9*a(d) - 4*f(d). Give y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5856 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i**2\/13 - 206*i\/13 - 8 = 0 for i.\nAnswer: -1\/2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((165\/(-10))\/(-11))\/((-136)\/(-216)) and 19\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v**2\/7 - v\/7 - 12\/7 = 0. What is v?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4366 is divided by 180.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 100841192*x*y**2 - 26*y**2 - 189*y - 67 wrt x.\nAnswer: 100841192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(-12) + 1*(-138)\/36. List the prime factors of 1\/s*0 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 - 6*t**2 + 8. What is the smallest common multiple of y(-6) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 4*f - 712 = 0, 5*f - 718 = -3*y + 6*f. What is the greatest common factor of y and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 3*c = -5*g + 73357, -2*c + 29332 = 2*g. Let r = g + -263969\/18. Find the common denominator of 133\/18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 2*p + 10 + 8 = 0, 18 = b - 5*p. Let f(s) = -17*s + 2. Let j(w) = -8*w + 1. Let o(i) = -6*f(i) + 13*j(i). What is o(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2488 - -3166. What is the remainder when f is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49830 = 6*q - 3*q. Is q\/70 - (-2)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 17*k + 189 - 32*k + 16*k - 192. Calculate a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 6, f: 4}. What is prob of sequence ffp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 AM and 7:48 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/3 (c) -0.0856 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 54065369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of 1\/60*t**5 + 0*t - 2\/3*t**3 + 0 + 0*t**4 + 15*t**2. Give y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76 - 49 = -606*l + 609*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 AM and 9:55 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 15, 4*z + 1 + 1 = -2*s. Let j be 3\/(-9) + 48\/9. Suppose -2*i = i + 3, -j*i - 11 = -2*b. Solve 0 = 2*n - x - 6, 12 = b*n - 5*x + z*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by 149\nAnswer: -6\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2222012200002 (base 3) to base 9.\nAnswer: 2865602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 AM and 12:40 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the second derivative of -s**5\/60 + s**4\/4 - 7*s**3\/6 + 31*s**2\/2 + 46*s. Let b(q) be the first derivative of y(q). Determine b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 3*x**3 + 11*x**2 - 20*x + 2. Calculate i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 229*f + 6997. Calculate l(-31).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rqqfqqqqrffffqq. What is prob of sequence rfq?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*s + 715 = 164. Let y(z) = 2*z + 20. What is y(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -1950*u + 925376400*u**4 + 2976 - 57388*u**2 - 14435871840*u**5 - 2971 - 23727600*u**3 + 361588*u**2 = 0. What is u?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*y = -51*y + 33. Put 4, y, -54, 0 in decreasing order.\nAnswer: 4, y, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**2 + 16*a - 14. Let j(r) = -r**2 - 8*r - 2. Let n be (-40)\/7 + (-4)\/14. Let i be j(n). Calculate the remainder when l(i) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -113327*f + 6*f**3 + 113327*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 390 + -391. Let b(u) be the first derivative of 3*u**2\/2 - 1. Determine b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -153*t - 21. Let c be m(-12). Let j = c + -16318\/9. Calculate the common denominator of j and -46\/93.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(1\/20)\/m*m**(2\/13)\/m*m\/(m*m*(m**4*m*m)\/m)*m*m**4 assuming m is positive.\nAnswer: m**(-727\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 7 + (-70)\/110?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + 8917 = -m + 8953, 4*l - m + 6*m = 124 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 532, 531, 530, 529?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -80*u**2. Let r(x) = -11*x**2 - 2. Give b(r(f)).\nAnswer: -9680*f**4 - 3520*f**2 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 14.86386 weeks?\nAnswer: 8989662528000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1225 + -158. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22225187 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 32.17 - 31. Let l = x - 1.1. Let z = -487\/56 + 60\/7. Which is the second smallest value? (a) z (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*s = -9*s - 5874. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(4\/(-108)*(-2 + 3)). Suppose -7*i + 1 = -l. Let h(t) = -2*t**2 + 3*t + 3. Let k(m) = -m**2 + m + 1. Determine i*h(j) - 12*k(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -5*j**2 - 7*j. Let m(g) = -3*g + 44. Let c be m(13). Let s(x) = -3*x**2 - 3*x. Give c*s(b) - 2*n(b).\nAnswer: -5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 34667239 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 86 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/123 in -7, -3, -6, -21\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*i - 4*i - 155. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 2*c + 3*c - 1)*(-c**2 + 5*c**2 - c**2) + (0 - 2 + 3)*(-c**3 + 13*c - 13*c).\nAnswer: 11*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 0.3 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*k - 9*k - 64 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - 12002222100200101?\nAnswer: -12002222100200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4855, 4864, 4885, 4924, 4987?\nAnswer: 5080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**2 + 2213*q - 48. Give y(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2816374802 to the power of 1\/3, to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 22067, 72.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -3032746, -12131116, -27295074, -48524626, -75819778, -109180536, -148606906?\n\"Answer: -o**3 - 3032788*o**2 + o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 409 and 674441.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 38479+-1392923\nAnswer: -1354444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 3*x + 10, 11*c + 2*x - 25 = 8*c. Let m = 39 - 15. What is the remainder when m is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4886 + -4 + -1*(5 - 3).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 924, 2, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5762? (a) -1 (b) 1 (c) 0.1 (d) -37 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (5 + -1)\/4*(-2)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -231 + 275*c**2 + c**4 + 9*c**5 - 11*c**5 - 17*c**5 - 6*c + 73 - 343*c**2 wrt c.\nAnswer: -380*c**3 + 12*c**2 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 14395*u + 65712 wrt u.\nAnswer: 14395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -5.5. Let x = -3.06 - -0.06. Let l = d + x. What is the second smallest value in 2\/19, 5, l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 169 divide 339484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 30894587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -158933, -317859, -476773, -635669, -794541, -953383, -1112189?\n\"Answer: d**3 - 158933*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -387 + 433. Find the first derivative of 45*m + 27 - 13 + y*m wrt m.\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-3\/17)\/(i\/(i**(-21)\/i))*i**(13\/5)*i*i\/(i\/i**1) assuming i is positive.\nAnswer: i**(-1579\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m\/m**(-2\/7)*m**(-2\/9)\/m)**(-37)*(m\/(((m\/(m*m\/(m*m*m**(-2\/7))))\/m)\/m))\/m**(-6)*(m*m*m\/((m\/(m\/(m\/m**1)))\/m)*m*m)**(-50) assuming m is positive.\nAnswer: m**(-23188\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -2. Let j(t) = -t - 8. Let u be j(v). What is the smallest value in 0, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9175817 divided by -1310831.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 19632 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -698, -2869, -6488, -11555?\n\"Answer: -724*i**2 + i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3673 = 4*f - 3665, 4*j = -4*f - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 5*g - 5. Let a(m) = 6*m - 5. Suppose 2*l + 3*p = -677, 9*p = 3*l + 5*p + 1041. Let t = l - -347. Give t*h(q) - 3*a(q).\nAnswer: 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120*j - 4085 = 101*j. Is j a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + d - 139 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 125523 divided by 4\nAnswer: 125523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 535 by 155.\nAnswer: 107\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/(-6))\/((-2)\/(-30)). Let k be b\/(15\/(-6)) - -8. What is the third derivative of -4*j**6 - 4*j**2 + 4*j**6 + j**2 - 3*j**k wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/14 - (1 - 40\/7). What is the second derivative of 17*n**5 + n**g - 4*n - 43*n**5 wrt n?\nAnswer: -500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-4572)\/381*2\/((-8)\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**3 + 2*s**2 - 4*s - 2. Let m be d(-3). Let j = 2 + m. Suppose 3 = -2*b + b, -j*u = -2*b - 57. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3704, -7400, -11098, -14804, -18524, -22264, -26030, -29828?\n\"Answer: -j**3 + 5*j**2 - 3704*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16961.\nAnswer: 7, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be -13 + (9 - 10)*-22. Sort s, -41, 4 in increasing order.\nAnswer: -41, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f be (968\/9680)\/((-4)\/10). Suppose 2*v - 4*k = -0*v + 40, 0 = -3*v - 2*k + 36. Which is the second smallest value? (a) v (b) -4 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*j + 2*c - 18, -c - 115683 = 12*j - 115692 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -114 - -212. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1024 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(28) + (sqrt(28) - sqrt(336)\/(sqrt(12)*3)))\/(1*sqrt(324)))**2 + -5 + (1*-1*sqrt(84))\/(sqrt(60)\/sqrt(45)).\nAnswer: -3*sqrt(7) - 3470\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to 1\/541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 116882, 116884, 116886, 116888, 116890?\nAnswer: 116892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-17 - -12)\/(2\/(-2)). Suppose -c + 235 = -2*j + 5*j, q*c = -2*j + 161. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6496585*k*v**3 - 13*v**3 - 597*v**2 - 54*v - 4 wrt k?\nAnswer: -6496585*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -174204.\nAnswer: -34840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 PM and 3:55 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:43 PM and 8:43 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times -247\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -4*a**3 - 3*a**2 + 4*a + 2. Suppose -4 = -g - 9. Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-88)\/(-20) - 4\/10. Differentiate -13 + 4*v + d + 2*v + 17 with respect to v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -279.488756 to 1 decimal place.\nAnswer: -279.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9*q + 10*q + 17 - 14*q + 4 wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 331031 - 2?\nAnswer: 331023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 903 + -1317. Let i = -12 - t. Is 53 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 700 + 88 = 0. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 88560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5239987243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - 29. Let f = -27 - i. Suppose y = -4*j + f + 3, -5*y = 2*j - 124. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 203922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*3\/(-30)*1*(375\/12)\/(-25).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*m + 0*m + 3*m)*(-2*m - 15 + 15)*(-m**2 + m**2 + 2*m**2) in the form o*m**3 + u*m**4 + l + y*m + f*m**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -z**5\/30 + z**4\/3 + 5*z**2. Find the second derivative of a(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 470 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35185777.\nAnswer: 11, 19, 168353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v*v\/(v**6*v))\/v)\/(v*v**(-2\/9)))**(3\/17)*(v*v\/(v*v*v**(1\/3)*v)*v\/v**(-6))**30 assuming v is positive.\nAnswer: v**(8618\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2635, -2646, -2657, -2668, -2679, -2690?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 344683856.\nAnswer: 2, 11, 1958431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -5, -0.7, 12, -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/3 + 657720*s + 7892736.\nAnswer: -2*(s - 986592)*(s + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*h - 0*h. Let p(f) = 4 + f + 3*f**2 - 2*f**2 - 1. Is p(h) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*x**2 - 939*x + 2844 = 0. Calculate x.\nAnswer: -316, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 113 - 68. Let i(w) = 4*w**2 - w - w**3 - 4 - 11*w**2 - 3*w. What is the remainder when r is divided by i(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -12*d**3 - 45*d**2 + 6*d + 15. Let k(t) = -2*t**3 + t + 3. Give a(r) - 5*k(r).\nAnswer: -2*r**3 - 45*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 3*p. Suppose 0 = -0*z + 5*z - p*z. Suppose r + 4*a = 10, 5*r + z*a = -3*a + 101. Calculate the remainder when 39 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -638825*z**2 + 67*z + 59624672 wrt z?\nAnswer: -1277650*z + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 2*c**2 + 4*c**2 - 3*c**2 + (0*c**2 - 4*c**2 - 23*c**2)*(4 - 8 - 1) as o*c + v + t*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 2*i**3 + 3*i**2 - 8*i - 4. Let v(f) = -f**3 - 4*f**2 + 7*f + 5. Let j(h) = -2*n(h) - 3*v(h). Let c be 30\/4*(-8)\/(-12). Give j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 + -4. Suppose -45 = -p*c - 18. Suppose -4*i = 34*f - 31*f - 405, 2*i + 2*f - 204 = 0. What is the greatest common divisor of i and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 2 t, and 1 i when four letters picked without replacement from {t: 2, i: 1, o: 1, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83137885 is divided by 272?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1760 + 1760.3. Which is the second biggest value? (a) -1.4 (b) -4 (c) 2\/15 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 - 15*s + 44. Let n be b(11). Suppose -4*k + 428000000 = -n*k. Suppose 7*w - k = 2*w. What is w rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1444836903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7627863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 2426755532 by -2.\nAnswer: -1213377766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -72 - -98. Suppose -19*p + n*p - 385 = 0. Which is bigger: p or 52?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(18) + -3)**2 - sqrt(4)\/(-3*sqrt(2))) + -5.\nAnswer: -53*sqrt(2)\/3 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(2610\/144 - 18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.05 + -0.15. Let z = -4 - -4.4. What is the smallest value in -5, p, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/(((b**(-1\/2)*b)\/b)\/b)*b)\/(b*(b\/((b*b\/(b\/(b\/(b*b*(b\/(b**3*b)*b)\/b)))*b)\/b*b)*b)\/b))\/(b**(-1\/15)*b*b**35) assuming b is positive.\nAnswer: b**(-883\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -63587, -32 in ascending order.\nAnswer: -63587, -32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n**2 + 2*n - 4. Let a be d(3). Suppose -a = -0*i - 4*i. What are the prime factors of (-179)\/(-5) - (-1)\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 245, -4, 7, 1, 4.\nAnswer: -4, 1, 4, 7, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 take away 1518.2?\nAnswer: -1518.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -480\/23 + 2\/23*c**2 + 2\/23*c.\nAnswer: 2*(c - 15)*(c + 16)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 1970*u**2. Let w(v) = -v + 24652*v**2 + v - 24653*v**2. Determine w(t(s)).\nAnswer: -3880900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 250462903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14 - (20 + 5 - 6)) + -33.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b + 30 + 6. Suppose 0 = 5*q - 525 - 920. Let l = q + -183. What is the remainder when l is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -116608 divided by 3644.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 46 and 1794.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 21 - -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*3*(1*(sqrt(1008) + -2)*1 - 3*(sqrt(1008) + 0)*3))**2.\nAnswer: 3456*sqrt(7) + 580644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -18\/475 and 83\/358492.\nAnswer: 8962300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 93 = -4*k + 105. Let z(x) = 2*x - 2. Let q be z(2). Solve -q = w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23433 + 55910. List the prime factors of g.\nAnswer: 47, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12942 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, 2, 17854?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 3*x**2 + 113*x - 43. Let t be m(-37). Put 1, 5, t, -5 in ascending order.\nAnswer: t, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151 + 19*h**3 - 280 + 129 + 2*h**2.\nAnswer: 19*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*x + 25612811 - 25620039 = 0 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1324428000 rounded to the nearest 1000000?\nAnswer: -1324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 1\/30, 8, -1 in descending order.\nAnswer: 22, 8, 1\/30, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 2*t. Let r = t + 1. Let w = -116\/5 + 23. Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63235592.\nAnswer: 2, 7, 443, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 + 29. Let g(j) = -207*j. Determine g(q(i)).\nAnswer: -207*i**2 - 6003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**2 + 2*q. Let k(n) = -18*n**2 - 18*n - 6. Determine -k(b) - 9*u(b).\nAnswer: 9*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of 2*z**3\/3 + 2*z**2 - 6*z + 7. Factor n(i).\nAnswer: 2*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3197089399 to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -43, 6, -16.\nAnswer: -43, -16, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(11\/6)*c*c**25 assuming c is positive.\nAnswer: c**(167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 21*y**2 - 20*y**2 + 2*y - 8*y + (4*y - 2*y - y)*(4*y - 4*y + 10*y).\nAnswer: 11*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**3 - 2*r**2 - 4*r - 4. Let c be b(-2). Let q(u) = 2*u - 7. Let s(h) = 4*h - 13. Give c*s(x) - 7*q(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -42 - -269. List the prime factors of y.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 9*l**4 - 37*l**3 + 65*l**2 + 15*l - 88. Let r(f) = 200*f**4 - 815*f**3 + 1430*f**2 + 330*f - 1935. Let p(c) = -45*h(c) + 2*r(c). Factor p(g).\nAnswer: -5*(g - 3)**2*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f**2. Let z(n) be the second derivative of -3*n**4\/4 + 14*n. Calculate z(u(q)).\nAnswer: -81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -428*g - 50*g**4 + 428*g + (4*g**3 - 4*g**3 + g**3)*(-5*g - 2*g - 9*g).\nAnswer: -66*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7248*t - 7302*t - 1728 = 0 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -548*j**3 - j**2 - 3*j - 1. Let w be h(-1). Let d = w + -352. What is the remainder when d is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 67. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 - -13. Suppose -2*f + 32 = -q*f. Let h = f - -18. Solve 4*o - h + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -24*c**2 + 19 - 7*c + 3*c**3 + 59*c**2 - 29*c**2. Let d(q) = -q + 3. Let x be d(-5). Is l(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -5*x - 38 - 17, x + 53 = 4*b. Suppose -p - n + 15 = 0, 3*n - 49 = -3*p + 4*n. What is the least common multiple of p and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (153723\/54)\/(1\/3). Let r = -8559 + a. Find the common denominator of -19\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**2)\/z**(-1\/2))\/(z**(-1\/4))**(2\/41))\/(((z*z**(-6))\/z*(z*z**(-1\/5)\/z)\/z)\/(z**2\/(z\/((z**(-5)\/z)\/z)))) assuming z is positive.\nAnswer: z**(146\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1540309?\nAnswer: 1540309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (104\/32)\/((-1)\/(-4)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.311? (a) -0.5 (b) -0.17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*a - 4*a**3 + 6*a**2 - 2*a**3 - 38*a.\nAnswer: -6*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -8*l - 38. Let m(g) = 21*g + 5. What is h(m(o))?\nAnswer: -168*o - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 802 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2e (base 15) to base 12\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -38*f + 74. Let z be g(3). What is the tens digit of (-13821)\/(-9) + z\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 105 divide 1944504\/192 - (-1 - (-15)\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/59 (b) 1 (c) 4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101*q = -91*q - 20. Let p(g) = 5 - 2 - 6 + 0 + 5*g. Calculate p(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72)\/(sqrt(972) - 4*sqrt(972)))\/(2*sqrt(20)\/((sqrt(360) - sqrt(10)) + sqrt(10))).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 81, 71, 51, 15, -43?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-10\/3)\/s**(-2))\/(s\/s**(-2\/3))**(-2\/41) assuming s is positive.\nAnswer: s**(-154\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 20370916800 to the nearest 1000000.\nAnswer: 20371000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Expand (h - 2 + 0 + 1)*(6 - 3 + 0).\nAnswer: 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 PM and 2:20 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -358987655?\nAnswer: -358987655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/88 and -55\/12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 217167229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -43 - -45. Let s be -5 + 2 - (-3 + y\/(-2)). Suppose 0*j + s = j - n, -3*j + 4*n = 0. Solve -b - 2*b + 5*m = 11, 0 = -4*b + 2*m + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.001 - 46.999. Suppose 0 = -2*d - 3*f + 15, 2*d = 7*d - f + 5. What is the closest to m in d, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 1 - 4. Let o(r) = -r**2 - 8*r - 7. Let s be o(-5). Let a be g*s*(3 - -7). Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 + 10 - 16 - -3) + -2 + -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q**2 - 3820*q - 74024 = 0. Calculate q.\nAnswer: -19, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from xaxxxaxaaaxaaxaxaxx.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -586 greater than or equal to -587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vlllsllllvlllwwvv. What is prob of sequence lv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -181356 divided by -60452?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -36525 (base 11) to base 15.\nAnswer: -1087b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -100 + 100. Solve l = 3*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1819 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -1646*o**2\/11 - 35202*o\/11 - 13356\/11.\nAnswer: -2*(o + 21)*(823*o + 318)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2406, 4767, 7110, 9435, 11742, 14031, 16302?\n\"Answer: -9*d**2 + 2388*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.013851569 rounded to 4 dps?\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22814?\nAnswer: 2, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10\/7 - -37\/21. Let z = -52.7 + 9.7. Let y = z - -39. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 126a9 + 2?\nAnswer: 126ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4779 + -9555\/2. Find y such that 5*y + h*y**2 + 3\/2 = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -5*u - 131, 4*l + u - 614 = 15. Solve l + 108 = 33*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 8, 1 in descending order.\nAnswer: 8, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 629*g**3 + 119*g**2 - 119. Let s(i) = -21*i**3 - 4*i**2 + 4. Determine 4*d(f) + 119*s(f).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 306728239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -5*y**3 + 27*y**2 - 10*y - 9. Let l(t) = 3*t**2 - 1. Suppose -1 = 8*w + 15. Let x(p) = w*o(p) + 18*l(p). Let j(u) = -u. What is 20*j(a) + x(a)?\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.5 (c) -5 (d) 40 (e) 2 (f) 0.4 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -126*n - 169*n + 145*n - 25920 = -420*n for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 5, -0.5, -214621?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + -122?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 20991 by -37.\nAnswer: -20991\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 2*b - 2*k, 6*b - 7*b = -3*k - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 29*a + 3 + 32*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 171958638.\nAnswer: 2, 3, 17, 1685869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 80, 77, 74?\n\"Answer: -3*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(0 + 0 + sqrt(1620)*-2*5 + sqrt(1620) + -5)**2.\nAnswer: -262490 - 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + -100?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -12975758.1 rounded to the nearest 10000?\nAnswer: -12980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 10) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from shshsssshs.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f - 18 = -2*w, 21*w + 27 = 5*f + 25*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from svrhhsrhwvshtrv. Give prob of picking 1 v and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 59 + -4a558?\nAnswer: -4a4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -0 - 11. Suppose 3*s = 2*s - j - t, 3*s - 2*j = -48. Let p be 1*s*(-3)\/6. Solve 2*d = p*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 5:56 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yjyedmu. What is prob of sequence ee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u + 46. Let s(c) = 57*c**2 - 5*c + 5. Let k(o) = -34*o**2 + 3*o - 3. Let j(q) = 10*k(q) + 6*s(q). What is g(j(b))?\nAnswer: 2*b**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 0.7, -17, 0.3 in decreasing order.\nAnswer: 0.7, 0.3, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 9*w = n - 64, -32 = -2*w + 5*n. Calculate the highest common divisor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {i: 4, c: 9, s: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -30, -53, -78?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 3*i. Solve i = -2*b + 6 + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2792191?\nAnswer: 2792191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in sixty-nine halves of a gram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -3*i**2. Let j(s) = s**2 + 43. Give n(j(w)).\nAnswer: -3*w**4 - 258*w**2 - 5547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.1 + 0.92. Let w = 0.58 + g. Which is the closest to -1? (a) w (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**2)\/r)**(-9\/13)\/(r**(-2\/9))**(-9\/7))\/(r**(-11)*r*r**(-1\/8))**(16\/9) assuming r is positive.\nAnswer: r**(1486\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -2*x**5\/3 + 248*x**4\/3 - 5288*x**3\/3 + 4796*x**2\/3 + 5290*x\/3 - 5044\/3 = 0. What is x?\nAnswer: -1, 1, 26, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -2*a + 9. Let l be 4\/((6*-1)\/a). Solve 2 = 2*g - l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2223378 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddjjjjjdtjjjjdddjjj. What is prob of sequence jtj?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 270 and 221670?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (18\/(-480))\/((-586)\/609440)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2*i**3 - 4*i + 20*i**2 - 3372 + 3373 + 2*i in the form g*i**3 + l*i + f*i**2 + d and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of -27*x**4\/4 - 27*x**3\/2 - 59*x**2. What is the derivative of z(p) wrt p?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3110022202 + 10?\nAnswer: 3110022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3778*j - 3*l = -3779*j + 21, -2*j + 30 = -4*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00694796 rounded to four decimal places?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from xqiqxqicxxcixxq.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 w when three letters picked without replacement from jwfzdfdwa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f = -20 + 34. Let o be f\/8*-20*1. Solve 4*m + r = 18, -5*m + 28 = -4*r - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*h**2*t**2 + 3670*h**2 - 66890*t**2 wrt h.\nAnswer: 14*h*t**2 + 7340*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/20267 and -6\/12816539?\nAnswer: 166615007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 21*j**2 + 8 - 22 + 13 - 103*j**2 to the form c*j**2 + w + q*j and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 4*s. Let y(i) be the first derivative of -242*i**3\/3 + 92. Give y(g(m)).\nAnswer: -3872*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 + 8*u - 2. Let j be w(7). Let p = 24 - j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (35*t**4 + 53*t**4 - 20*t**4)*(2 - 2 - 15*t).\nAnswer: -1020*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 121, 87, 53, 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 974 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19 - -18. Let h be 3 + (-171)\/(-162)*-3. Let c = -0.06 - -1.06. What is the closest to o in c, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (((-4)\/(-6) - 0) + 0)*2553276\/184. Calculate the highest common divisor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 + 2*i + 43. Let y be u(7). Let r = -3 - -7. Let s be 36\/y*r\/6. Solve 0 = -x + 6*x + 2*h + 1, 3*h - 3 = -s*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42\/924*5\/(-25)*5?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1971 = -8*s + 437. Let j = s + -315. Let t(z) = 1. Let w(k) = -2*k + 6. Calculate j*t(f) + 2*w(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 105, -206, -5, 5, -3 in descending order.\nAnswer: 105, 5, -3, -5, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 60\/124033 or 0?\nAnswer: 60\/124033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -5*f + 7 + 3*f + 0*f - 6*f. Let h be 22\/((0 + -3)*(-356)\/(-534)). Let n(b) = -23*b + 20. Calculate h*g(p) + 4*n(p).\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 212340 - 422?\nAnswer: 211413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-2 + sqrt(1100) + sqrt(1100)*1*2 + -4)**2)*1 + 3 + 1.\nAnswer: -360*sqrt(11) + 9942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q = -5*l + 3*q + 16, 2 = 2*l - q. Suppose -305*g + 17 = -288*g. Put -5, g, l in decreasing order.\nAnswer: l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 1254 = 5*p, -16*b + 15 = -11*b. Suppose 0 = 34*u - 52*u + p. Solve -u = -2*w - 2*m, 3*w - 2*m - 6 = -0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 + 19. Suppose -t*c + 59599 = -6842. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9295 (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 2707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3442 + 3385.96. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 600, 511, 360, 147, -128?\n\"Answer: -31*j**2 + 4*j + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 - 12*k**2 - 12*k - 4. Let j be h(13). Suppose j*m + 4 = 11*m. What is the common denominator of (-1183)\/39*1\/m and -127\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -623*i + 1 + 207*i + 210*i + 201*i.\nAnswer: -5*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 86 = -16. Suppose 23*x = 18*x + 35. What is the highest common divisor of x and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 70*r**5 + 4482*r**4\/5 + 16518*r**3\/5 + 950*r**2 - 8820*r + 3600 = 0. Calculate r.\nAnswer: -5, -30\/7, 12\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10\/135 + 10\/(-135). Solve y*l = -4*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1514*s - 75 + 4500*s - 1507*s - 1501*s as f*s + j and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 17 = -p, -16*p + 70 = 4*r - 11*p. What is the lowest common multiple of (40\/r + -2)\/((-4)\/(-216)) and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 166833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -118*w = m + 356, -15357*w - 16 = -15353*w + 2*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/30)\/(99\/55).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of 7*s**4\/4 + s**3 - s**2\/2 - 7*s. Is h(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 3*m + 1, -3*l - l + 36 = -4*m. Suppose 0 = 4*c + 2*u + 10, -2*c + 2*u + 3 = c. What is the nearest to c in 0.2, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 23992 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -29 - -30. Is (-462)\/(-3) - (l + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 411, -200, -1225, -2670, -4541, -6844, -9585?\nAnswer: -12770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 4 + 18*n - n**2 - 31*n in the form g*n**2 + m*n + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(539)\/(2*sqrt(11)))\/(2*sqrt(1008) - sqrt(1008)) - (sqrt(21)\/(sqrt(6)\/sqrt(2)*-3)*1 + 3))**2.\nAnswer: -9*sqrt(7)\/4 + 639\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1284 - -2274. List the prime factors of h.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-54)\/8 + 3)*((22 - 7) + -19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -2*i**3 + 10078*i**2 - 10076*i = 0.\nAnswer: 0, 1, 5038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14097913609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 3272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -14 - ((1 - -3) + 9 - (106 + (6 - 3)))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide (6\/(-2))\/((1\/1)\/((-15976)\/24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/115992 and -61\/154656.\nAnswer: 463968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 4*j = -18, 13 = -v + 3*v + 3*j. Suppose -v*k + 115 = 3*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00056524376 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -48960 smaller than -48959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*c + 64*c - 64756*c**2.\nAnswer: -64756*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 17 divided by 1457?\nAnswer: 17\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 256, 84, -212, -638, -1200, -1904, -2756?\nAnswer: -3762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of -k**3\/3 + 5*k**2\/2 + 17*k. Calculate z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (380\/57*3\/28)\/(2\/(-14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 - 268*i**2 + 0*i + 5*i + 297*i**2 - 3*i.\nAnswer: 29*i**2 + 2*i + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-129)\/(-344) - (-4)\/((-160)\/19)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1562299*c**2*q**3 + 54281*c**2*q**2 - 7*c**2*q wrt q.\nAnswer: 9373794*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3529 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k**4 + 1021*k + 1 + 7*k**3 - 1021*k + k**2 to h*k**3 + q*k + n*k**2 + b + x*k**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1807878159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is b in 3*b**4 + 251*b**3 - 1677*b**2 - 354531*b + 118354 = 0?\nAnswer: -59, 1\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 34333 - 1?\nAnswer: 34332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**2 - 3*t - 7. Let n = -23 - -29. Determine s(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/8730 and -113\/9894?\nAnswer: 148410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-51*y + 1511*y + 672*y)*(-1 + 6 - 3) as w + r*y and give r.\nAnswer: 4264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be -6 + 10*45\/70. Suppose n + 3*y - 23 = 0, 3*n - 29 = -3*y + 2*y. Suppose 0 = -4*c - 4 + n. Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -24653 (base 7) to base 10\nAnswer: -6506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express ((-3 + 5 + 0)*(-3 - 3 + 4) + 1 - 1 + 2 - 2 + 1 - 1)*(-216*l**2 - 1067*l**2 - 2741*l**2) in the form j*l + f + h*l**2 and give h.\nAnswer: 16096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 639.8391s to microseconds.\nAnswer: 639839100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13765 - -33907. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(9) + sqrt(9))*2 - -2*sqrt(576))\/(4*sqrt(24)\/sqrt(8) + (sqrt(33) + (sqrt(33) + sqrt(3993) + sqrt(33) - sqrt(33)))\/sqrt(11) + sqrt(3)).\nAnswer: 13*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 5*f + 1. Suppose -y + 0 - 7 = 2*i, 3 = -y. Calculate w(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 3780, 15055, 33714, 59649, 92752, 132915, 180030, 233989?\n\"Answer: -18*j**3 + 3800*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*g - 16 = 0. Suppose 31 = 5*t + 11. Determine y so that 4*y**5 + 0*y**4 + 2*y**g - t*y**3 - 3*y**5 + y**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 267530001 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**2 - 4*k - 4. Let p be v(5). Let r be (-3)\/(-14)*6*-1. Let u = r + p. Is 0 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 4611*q**3 + 7*q**2 - 5*q - 6. Is r(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1010258 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51 = 3*c - 3*w, -54*c + 56*c + 3*w - 29 = 0. Let d = 16 + 12. Calculate the remainder when d is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l - 7 = 2*o, -5*o - 55*l + 23 = -54*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c. Let v(j) = 4*j - 5. Let s(g) = -20*g + 24. Let t be ((-2)\/3)\/(2\/(-15)). Let a(n) = t*s(n) + 24*v(n). Give i(a(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 118\/(-4) - 1\/2. Let o = -161226 + 161222. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**3 + 60*t**2 + 50*t - 88. Calculate x(-29).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 462 + 3976*g - 2583 - 2286 - 224 + 453 wrt g?\nAnswer: 3976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5660.874 years in months?\nAnswer: 67930.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d**3 - 26*d**2 - 24*d + 9. Calculate g(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-5)\/(-30)*0*1)\/(-1). Suppose 2*r + 2*t + 20 = -2*t, -4*r - 2*t - 16 = i. Sort 0, 4, r, 5.\nAnswer: r, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -204233000 to the nearest one million.\nAnswer: -204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 + 2*p)*(1 + 51*p + 113*p - 54*p)*(-2*p - p + 2*p - 4*p + 5*p + 0*p + (-6 + 1 + 2)*(-4*p + 6*p + 0*p) + 2*p + 1 - 1).\nAnswer: -880*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lyxy when four letters picked without replacement from ppxlyolplxlpzllpy.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, -38, 80 in decreasing order.\nAnswer: 80, 0, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9275 + -5521. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(76)*1 - sqrt(76)) - 3*3*sqrt(76))\/(-2*(sqrt(28)\/sqrt(28) + sqrt(4))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(48)\/sqrt(2)*-4*5)\/(sqrt(5808) + -4*sqrt(5808)*-5).\nAnswer: 20*sqrt(2)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2\/9 (c) -2.905 (d) -1 (e) 1.8702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15*(-5)\/(-75)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 81*c**2 - 13*c - 180. Is 35 a factor of w(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21857\/45 + 631733\/1260. Let x = o + -138\/7. Find the common denominator of x and -11\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.02 - -0.02. Let m = -15 - -10. What is the smallest value in l, -1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -37*i - 942. Let b(l) = -14*l - 316. Let x(s) = -8*b(s) + 3*u(s). Let f(k) = -k**2. Determine f(x(p)).\nAnswer: -p**2 + 596*p - 88804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5842864.\nAnswer: 2, 365179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8829583?\nAnswer: 7, 631, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (140\/48 - 3\/(-36))\/((-18)\/(-4)). What is the fourth smallest value in -8\/21, -0.5, 7, r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/8877126 and -9\/299?\nAnswer: 115402638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 53811, 107416, 161021, 214626?\nAnswer: 268231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-161)\/28)\/((-1)\/4). Let t = r + -67\/3. Determine p so that 1\/3 + 4\/3*p**3 - t*p**5 + 1\/3*p**4 - 2\/3*p - 2\/3*p**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-9)*(-7875)\/75?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200212 + -20212202102?\nAnswer: -20220110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1210 or -1003?\nAnswer: -1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1597947226?\nAnswer: 2, 798973613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 59 * -3.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 AM and 1:49 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 20625372557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 88\/880 + (-197)\/20.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1907486873 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d = -4*d - 12. Find the second derivative of -5*a**3 + a**3 + 4*a + d*a**3 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-1162)\/415)\/14)\/((-1)\/(-20)*14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*d**4*z - 4*d**4 + 7*d**3*z + 2488*d**3 + 2*d**2*z + 93229*z wrt d?\nAnswer: -48*d*z - 96*d + 42*z + 14928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**2. Let p(k) = 179170*k**2. Calculate p(d(y)).\nAnswer: 179170*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 5:42 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -6*r**2 - 2*r**2 - 4*r**2 as p*r + s*r**2 + l and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34 - -39.4. Let j = d + -6. Let s = j - -0.1. Which is the third smallest value? (a) s (b) 0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -421520 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11934?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 765204 to the power of 1\/2, to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -780303342*h**4 - 134*h**2 + 2628277*h?\nAnswer: -18727280208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 156\/(-130)*((-80)\/36)\/((-3)\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*f - 4*f - 3*f)*(-3 + 7 - 3) + 0*f - 3*f + f - f - 1 + 1 - 257*f + 2874 - 2875 - 396*f.\nAnswer: -659*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -4*g - 1. Let k be z(-1). Which is smaller: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1247 and 580.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide ((-3)\/(12\/988))\/(8\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 3 = -15, -9 = 2*m - 3*f. List the prime factors of 1 + m - (-21)\/1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -293.664 - 0.336. Let h = -280.3 - c. Let r = h - 14. What is the closest to -2\/9 in r, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.69 - 0.39. Let c = -89\/7 - -13. What is the second biggest value in c, t, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 537722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 8756, 35358, 79792, 142064, 222180?\n\"Answer: t**3 + 8910*t**2 - 135*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*k**2 - 906*k - 364.\nAnswer: 2*(k - 91)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -11, -1, -4 in ascending order.\nAnswer: -11, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66635 is divided by 975?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 40 (base 9) to base 13.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18266892 + -39706892. Round j to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*r - 3*r - 4*r)*((4 - 5 + 2)*(2 - 2 - 2) - 4 + 2 + 1 - 1 - 2 + 5 + (2 - 2 + 1)*(-1 + 0 + 3)) as i + k*r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 8, -5, 9.\nAnswer: -5, -1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/14 and (-1 - 926\/120) + (-58)\/(-435).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of 0*v**5 + 0*v**2 + 0*v**6 + 0*v**3 - 3*v + 0 + 1\/42*v**7 - 5\/12*v**4. What is the third derivative of j(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.983903 centimeters in millimeters?\nAnswer: 9.83903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -308, -310, -314, -320, -328?\n\"Answer: -i**2 + i - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 2*g + 15 = 0. Let j be ((-528)\/18)\/11*(-30 - 3). Let i = 103 - j. What is the greatest common factor of g and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes after 1:21 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/173 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*d = -d - 11, 5*t - 2*d - 11 = 0. Let z = -93.1 - -18.1. Let k = z + 74. Put t, -2\/15, k, 0.9 in descending order.\nAnswer: t, 0.9, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -d + 1. Let i(f) = 20*f**2 - f**3 - 1 + f**2 + f + 5. Let q be i(21). Solve q = 5*l, 5*x + l = d + 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 1 (c) -3675 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*n = -4 - 46. Solve n*t = 4*k + 16, k = 2*t - 6*t - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1b4aed (base 16) to base 7\nAnswer: -21126506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 269639277?\nAnswer: 3, 383, 234673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 13650649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**2 - 3*h - 6. Let x(p) = -8*p**2 + 6121*p - 1878863. Let l(n) = 3*t(n) - x(n). Suppose l(f) = 0. What is f?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**2 - 70*h + 221. Calculate q(-73).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 141720012653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 7, j: 5}. Give prob of sequence jj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 11099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.09454*29\nAnswer: -2.74166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1505 - -2899. What are the prime factors of c?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-4\/5))**(-15\/11) assuming z is positive.\nAnswer: z**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1279130 - -160?\nAnswer: 1279290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**2 - 8. Let a(v) = v**3 + 8*v**2 + 7*v - 4. Let x be a(-7). Let q be l(x). What is the greatest common factor of 72 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(-1)*g)\/g*g**(2\/7))\/((g\/(g\/(g**(2\/5)\/g)))\/((g**(-6)\/g)\/g)))\/(((g**(4\/5)*g)\/(g*g\/(g**(3\/2)\/g)))\/(g*g*g**(-1))**8) assuming g is positive.\nAnswer: g**(-29\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2493*f**3 - 4295*f**2?\nAnswer: -14958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d - 138041*d**2 + 138037*d**2 + d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**2 - 8*g + 10. Let s be w(-7). Solve 11 = -5*n + 2*z, s = -8*n + 3*n + 4*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*h**1)**(-23\/3)*((h**(1\/4)\/h)\/h)\/h**(-3))**(2\/3) assuming h is positive.\nAnswer: h**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 3 - 3)*(2*s - 3*s - s) + 3*s + 0*s - 7*s + (0 + 2*s + 0)*(-2 - 2 + 5) + 0*s - s + 5*s - 4*s + 5*s + 0*s in the form v + i*s and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 711\/(-146556) + 1090\/(-300840)?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/6)\/((-3)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*y - 5*o = 15*y - 445252, 7*y - 5*o = 1558427. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -62013828 by -5167819.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(5 + -6*(sqrt(38)\/sqrt(2) - sqrt(19))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4914394 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 2\/125 of a milligram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -257? (a) -44 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-2*(sqrt(192)*-2 + 4 + sqrt(12)\/sqrt(4))**2*-6.\nAnswer: -8292 + 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 2:31 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6686975, 13373921, 20060867, 26747813, 33434759, 40121705?\nAnswer: 46808651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.072 and 30.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7056 and 90?\nAnswer: 35280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -141 divided by 308?\nAnswer: -141\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 12:44 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l - 70 = -23*l. What is the second biggest value in 1\/3, l, -15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.007 and 165.\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.058 (c) -3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5\/12 + -1\/12. Sort -5, 1\/4, t in increasing order.\nAnswer: -5, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k, 1 q, and 1 m when four letters picked without replacement from qkqqqmmmqqqmqmqqkm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -84*z**2 - 33*z**2 - 117*z**2 - 1 as b*z + n + r*z**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be 12\/30 + (-466)\/(-10). Suppose -2*x = -f + 7. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/11 or 2\/172887?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15, 136, 513, 1290, 2611?\nAnswer: 4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -10*a**2 - 11*a. Let h(j) = 2*j**2 + 2*j. Let w = -10 + -4. Let x = -36 - w. What is x*h(i) - 4*s(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 4*m - 12. Suppose 0*s + 4 = 5*o - s, 2*o = m*s - 2. Differentiate -10*n**4 - o + 4*n**2 - 3 - 4*n**2 wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1059308.4 to the nearest one thousand.\nAnswer: 1059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119) + (sqrt(119) - -3*1*sqrt(119)))\/(1*sqrt(1008)).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -424, 1 in descending order.\nAnswer: 2, 1, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 0 - 2*134\/24 and (4\/8)\/(22\/(-116)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30142*l**3 + 23251*l**3 + 31497*l**3 + 523*l**3.\nAnswer: 85413*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 4*u = -29 - 28, -5*u + 57 = c. Calculate the least common multiple of c and 7599.\nAnswer: 68391","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-2\/87)\/x*x*x**(-5\/8)*x\/(x*x**(2\/7))*((x\/(x\/(x*x*x\/x**(-1\/2))))\/x)\/x assuming x is positive.\nAnswer: x**(2759\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -651\/2 + 5863\/18. Is 164 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand d - 4*d + 2*d + (-1 + 1 - 2)*(2*d + d - 4*d) + 0*d + d + d - d + 1 - 1.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 231*k**3 - 7*k - 3. Let y(r) = 77*r**3 - 2*r - 1. Let b(l) = 2*d(l) - 7*y(l). Let z be b(-1). Suppose 5*n = z - 18. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**11)\/j**(3\/20)*((j\/(j**(-14)\/j))\/j)\/(j**(-24)*j))**(-6) assuming j is positive.\nAnswer: j**(-2991\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 0*k - 3*k)*(-4 - 6 + 3).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -1, 5, -122775 in decreasing order.\nAnswer: 5, -1, -4, -122775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 388676 is divided by 2261?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -203\/3504 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5\/6, 1\/4, -3\/19, -1 in ascending order.\nAnswer: -1, -3\/19, 1\/4, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2\/5 - 3879*t\/5 - 3882\/5.\nAnswer: 3*(t - 1294)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101345 is divided by 117.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**2 - 24*l - 400. Determine g(36).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2270 - 2265. Let n(p) = 3*p**2 - 15*p - 6. What is n(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3298 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1979, 685, -609?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 2*v - 15. Let h be 10\/(-4)*(-1 - v). Suppose 3*y - 4*p - 3 = 35, 3*y = -p + 13. What is the greatest common factor of y and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - 7 - (7 - 17 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 139524 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (2*k + 0*k + 16*k + (2 - 2 - 2)*(-6*k + 3*k + k))*(0 + 0 - 2)*(-2 + 3 - 2) in the form d*k + j and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/21860 and -97\/8744.\nAnswer: 43720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11737 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 50?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00026051 rounded to six decimal places?\nAnswer: 0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -37*b**2 - 2158*b - 306. Calculate u(-58).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 642 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.39, -49, 4, 0.4, 44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 123*g - 117*g = 270. Let j = -223\/5 + g. Which is the closest to -0.1? (a) 4 (b) -10 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(85)\/sqrt(5) + -5 - sqrt(170)\/(-1*sqrt(10)*-6).\nAnswer: -6 + 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6 - 8c74?\nAnswer: -8c6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -148, 0.24, 0.5, 5.\nAnswer: -148, 0.24, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 580680045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2\/32253 + 881560\/354783. Find the common denominator of f and 38\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*h**2 - h**2 + 2*h**2)*(2 - 2 - 7*h)*(1 + 0 - 3) to the form x*h**2 + j*h**3 + l + k*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v + 4. Let b(i) = -1. Let z(a) = 3*b(a) - u(a). Let y be z(-5). Solve 0*l + 3 = y*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14966\/7483*(-1)\/((-4)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -152013280 divided by 1900166\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 67 - (3 + -3 - (0 + -4 + 18 - 6)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 562444, 1124929, 1687414, 2249899, 2812384?\n\"Answer: 562485*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1844902507?\nAnswer: 7, 263557501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 58590*p**5*x - 436*p**2 - 5*p*x - 3*x wrt p.\nAnswer: 3515400*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 200221102012120 + 1001?\nAnswer: 200221102020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 233.643 months?\nAnswer: 0.1947025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + 4)*1 - (-3 + (1*sqrt(1584) - sqrt(1584)))**2.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, y: 2}. Give prob of sequence yry.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 77 (base 9) to base 14.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 40*p - 2. Let o be m(1). Solve o*a = 36*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*y**4 + 2250900*y**3 - 6752736*y**2.\nAnswer: 4*y**2*(y - 3)*(y + 562728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51788?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1322 is divided by 224?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2\/2 - 158808*a + 4129515\/2.\nAnswer: -3*(a - 13)*(a + 105885)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -84875389 or -594127728\/7?\nAnswer: -84875389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 60, 0, 8806.\nAnswer: 0, 60, 8806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24125791 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add 104737536203 and -0.04.\nAnswer: 104737536202.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 60b80c (base 13) in base 4?\nAnswer: 20212013221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5.8*-5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 27*z**2 - 2*z**2 + z**2 - 13*z**2 + 10 with respect to z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 79464033 and 17658674?\nAnswer: 158928066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**3 + 665*f**2 - 23237*f + 51. Give a(37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25979?\nAnswer: 83, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1194 bigger than 1135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 - -7.1. Let l = i + -0.3. Let d = 2.2 + l. What is the nearest to -0.1 in -1\/7, -2\/5, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 73121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - 1 - 2) + -2. Let t(q) = -2*q - 7. Let b be t(k). Solve u + s = 0, -b*u + s = -3*s + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 323 - 323 + 8*f + (1 + 1 - 3)*(-2*f - 3 - 4*f + 2*f) in the form d*f + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6233469 to the nearest integer?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 126*c**2 - 116*c + 594. What is the smallest common multiple of a(6) and 5912?\nAnswer: 17736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5048785*b**3 - 25182*b + 78.\nAnswer: 30292710*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 1 = 19. Suppose 8*w - 3*w = 0. Suppose 30 = -w*r + r. Calculate the greatest common divisor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2632 is divided by 174.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1440 or -1554?\nAnswer: -1554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**4\/q)**8*(q\/q**12)\/q*q**(-2\/31))**11 assuming q is positive.\nAnswer: q**(6798\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -78.1 + 73. Let n = -9688 - -9682.861. Let t = c - n. Round t to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**3*l*l**4*(l*l*l**(-5)*l)\/l**(-2\/13) assuming l is positive.\nAnswer: l**(80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 0*j + 4*j**2 + 3 - j**3 + j - 5*j**2 - j**2. Let o(v) = v**2 + 4*v. Let t be o(-3). What is the units digit of l(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -238911 by 79637.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -240312243 (base 5) in base 9?\nAnswer: -2062447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30626, 61186, 91662, 122060, 152386, 182646, 212846?\nAnswer: 242992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 108, 100, 78, 36, -32?\n\"Answer: -y**3 - y**2 + 2*y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9.5 + -15534951.\nAnswer: -15534941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 43 = -13*n - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -58219531 or -58219527?\nAnswer: -58219531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1063 a factor of 48190042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8874152 and 229460216?\nAnswer: 1606221512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange w + 2*w**2 - 3*w**2 + 6*w**3 + 2 + w**2 to m*w**2 + s*w + l + v*w**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oooqqqqqoqq. Give prob of sequence qq.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 2*i - 5 + 5 + 4.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*z + 11*z = -84. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6 and -12401434.\nAnswer: 74408604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 95 * 0.11\nAnswer: 10.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**3 - 2*v + 2*v)*(2 + 1 - 1) + 3*v**3 - 2*v**3 + v**3 + (-v + 9 - 9)*(-v**2 + 0*v + 0*v) - 2 + 2 - 2*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2\/9, -235, 212, 306?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153)*-1 + sqrt(153))*-5*-1*-1)\/((sqrt(72) - -5*-1*sqrt(72) - sqrt(72))\/(-4*(sqrt(8) + 2*sqrt(8)) - sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -90 - 3 - (-10 + -24 + 8 - -7).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 151900 to the nearest one thousand.\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/3949 + -122403\/31592. Find the common denominator of (5232\/(-18))\/8*(-3)\/198 and k.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0, -27.3, 13, 0.1, 1\/5, 85\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**2 + 11157*b - 9080244.\nAnswer: -3*(b - 2516)*(b - 1203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -21*x + 663. Determine q(31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 109320754 to the nearest integer?\nAnswer: 10456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -220, -211, -198, -181?\n\"Answer: 2*y**2 + 3*y - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 3*h**2 + 10*h - 68. Let d be z(37). Suppose -d - 2546 = -5*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -21. Let y = 15 - s. Suppose -53 = -y*p + 32. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d + 5*n = 3*d + 15, -2*n = 4. Suppose d*b = y - 19, 9*y + 145 = 13*y + 3*b. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 + 2*r + 2. Let j be (-1)\/((-3)\/51) + -1. Suppose 0*f - 4*f = j. List the prime factors of a(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 16*963\nAnswer: 15408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63356 is divided by 84.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14684 - -14181. Which is smaller: n or -487?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i**2 + 26160*i + 1474875 = 0.\nAnswer: -5175, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + v + 13 = -g, 5*g - 7 = -2*v. Let x be 3 - -1 - (g + (88 - -2)). Let w = -77 - x. Solve 5*m - m = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24 - 799\/(-34)) + (-78)\/4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the first derivative of 12*v**5\/5 - v**2 + 6. Find the second derivative of c(d) wrt d.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -412*n - 617*n - 10 + 361*n + 9 to z*n + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*u + 8*u. Let c be (-2)\/(-3) + 4\/3. Let w = u - c. Is -7\/9 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 239 - 213.8. What is f rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 - 6. What is the derivative of k - 8 - 1 - 5*i wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 AM and 2:54 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 684 and 170278?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w**2 - 3*w**2 - 5*w**2)*(1 - 6 + 3) + (-2 + 1 + 2)*(w**2 - 2*w**2 + 3*w**2) + (-w + 3*w + w)*(2*w - w + w).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 59 (base 16) to base 4\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of t**2 + 42*t**6 - 51*t**6 - 4*t**2 wrt t?\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1223 + 5?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(-5))\/(100\/(-1250)). Solve -3*f = w - 7, -37 = -2*f - f + q*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -10100001110 (base 2) to base 8\nAnswer: -2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 65 + 92. What is the remainder when w is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 58*h + 68 = 7*u - 55*h, 6*h = 2*u + 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*y + 66*y**3 - 31*y**3 + 40*y - 32*y**3.\nAnswer: 3*y**3 + 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/sqrt(275)*-1 - (-2 + 1 + sqrt(2) + -5*(sqrt(2)*2 - sqrt(2)) + sqrt(2)).\nAnswer: 1 + 14*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 2, z: 9, o: 8, k: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*(z\/(z*z**0))\/z)\/z)**(-33)*(z**1\/z)**23)\/((z**(2\/15)*z**(-2\/7))\/(z**(-1\/4)*z)**(-3\/7)) assuming z is positive.\nAnswer: z**(13789\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -2*v + 5*v - 8*v**2 + 7*v**2 - 2*v**2 as q*v + d*v**2 + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 46*c - 20. Let p be o(-2). Is p bigger than -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/8, 4\/9, 4\/607, 184 in descending order.\nAnswer: 184, 4\/9, 4\/607, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y**3\/7 - 16158*y**2\/7 - 402273*y\/7 - 1061478\/7 = 0. What is y?\nAnswer: -5361, -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -986*m + 29576. Determine y(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of -d**8\/10080 + 7*d**4\/12 - 3*d. Let c(r) be the third derivative of v(r). Factor c(z).\nAnswer: -2*z**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w. Let o be s(-2). Suppose y = o*y - 11. Let f = y + -5. Solve 0*j + 14 = -j + 3*r, 3*j - f = -3*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2868903 kilograms to tonnes.\nAnswer: 0.0002868903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - h**2 + 4*h + 102. Calculate y(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2166486 divided by 42?\nAnswer: 51583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w + 9. What is q(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 + 4*c**2 - c - 2. Let i be 2 - 2*27\/6. Let v = i + 10. Let s be u(v). Solve -1 + s = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 386\nAnswer: -5\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -5*s - 30 - 7, 3*y + 4*s - 20 = 0. Solve -5*i + y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12359488 + -19972930163\/1616. Let k = 187764\/101 + -1859. Let n = o + k. What is the common denominator of n and 113\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 48 and -9*1*6\/(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -214, -817, -1822, -3229, -5038, -7249?\n\"Answer: -201*p**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3149 is divided by 648.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 296074?\nAnswer: 2, 37, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1133201 (base 5) to base 8\nAnswer: -51073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/3190005 and -76\/36855.\nAnswer: 28710045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -121024 + 10?\nAnswer: -121014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(2448) + 3)**2*-1.\nAnswer: 360*sqrt(17) + 12285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -15, -9, -14, -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 + 64*t - 131. Let o be p(54). Calculate the greatest common divisor of o and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q = 4 - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o + 4. Let m(d) = -1110*d**2 - 6660*d + 26640. Give -m(j) + 6660*s(j).\nAnswer: 1110*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of -o**5\/30 - o**4\/24 + 6*o**2. Find the second derivative of t(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 17783? (a) -3 (b) 1 (c) 232 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in -2, 2\/43, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -4*c + 19. Let r be p(4). Let i = -3 - -31. Suppose -r*t - 10 = -i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1022 - 2?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -10*g**2 - 61*g - 40. Give j(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12, 0, -12?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -550238, -550236, -550234?\nAnswer: -550232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2932241\/48 + 61086. What is the common denominator of w and 67\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -18*a**3 + 50*a**2 + 8*a + 3. What is g(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3b20 (base 16) in base 13?\nAnswer: 6b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 111*k**2 - k - 33*k**2 + k**3 - 32*k**2 - 10 - 41*k**2. Calculate z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 4 - 13 = 3*g, -2 = -2*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 23 = 5*m - 41, 2*m = -5*v + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 6072.463ml?\nAnswer: 6.072463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 5119752 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1861312 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11*o**3 + 2*o**2 + o - 2152 wrt o?\nAnswer: -33*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 3*t - 5. Let z be y(4). Let c(v) be the third derivative of -v**6\/120 + v**5\/10 + 3*v**4\/8 + v**3\/6 + 3*v**2. Is c(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 5*s = -75500, -23*s - 151000 = -2*h - 19*s. Round h to the nearest one thousand.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 209\/(-11) - -2 - -2. Sort 1, s, -1 in decreasing order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1, 6, 2\/15 in ascending order.\nAnswer: -1, 2\/15, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.145 and -0.32.\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 543 + b + b + 0*b - b.\nAnswer: b + 543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 5:45 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 231828072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11)*-4*3 - (sqrt(1584) + -3))**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssdaddrsrrddnnsss. Give prob of sequence sn.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -205, -865, -1975, -3535, -5545, -8005?\n\"Answer: -225*x**2 + 15*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*i = -1626 - 2441 - 247 + 501 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wq when two letters picked without replacement from {w: 1, q: 1, z: 1, x: 2, h: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -207*s + 171. Calculate t(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 331, 279, 183, 37, -165?\n\"Answer: -p**3 - 16*p**2 + 3*p + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from ccccczcczccz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7836 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6 - (-14)\/(-4))\/((-7)\/(-14)). Let s be ((-2)\/4)\/((-4)\/24). Suppose -10 = -5*n, -4*n + 9*n - 85 = -s*a. What is the greatest common factor of a and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + (0 - -3) - -3)*22\/55?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 6:03 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of -2957476 and 42.\nAnswer: -124213992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 78231 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -13*q**3 - 64*q**2 - 23*q - 96. List the prime factors of y(-8).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 - 5*y + 3. Let h be p(5). Suppose -4*u = 16, h*b - 22 = 4*u + 6. Suppose -43 = -a + d, -b*a + d + 230 = 46. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:47 AM and 5:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-h**3 + 6*h**3 - 4*h**3)*(-2 + 2 - 2*h) - 2*h**4 - 2*h**4 + 2*h**4)*(3*h - h - h).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 175169826 + 0.016.\nAnswer: 175169826.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cfj when three letters picked without replacement from {f: 3, c: 10, w: 2, j: 1, z: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 - -15. Let z = -4.05 + t. Let c = z + -0.45. Sort -0.2, c, -2.\nAnswer: -2, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 375 and 10725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128730 is divided by 674.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29258171.\nAnswer: 29258171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.012 + 76123838.\nAnswer: 76123837.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 2*v = -v - 48, 4*v - 16 = 0. Let z = 501\/4 - 108. Calculate the common denominator of z and ((-81)\/d)\/(9\/(-12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -153264.3 to the nearest 100.\nAnswer: -153300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-40)\/80)\/((-39)\/36 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y. Let d(i) be the first derivative of i**2 - 1. Give q(d(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 47.582 - -0.418. Which is smaller: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1194.9654 rounded to the nearest 10?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10 + -d1?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -5*k**2 + 5*k + 3. Let b(m) = 14*m**2 - 15*m - 8. Let j(i) = -4*b(i) - 11*o(i). Let z be j(2). Sort z, -5, 4 in increasing order.\nAnswer: -5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - ((sqrt(95) - -2*sqrt(95)) + sqrt(95))*1))*2)\/(-1*(sqrt(5) - 3*(sqrt(5) + sqrt(15)\/sqrt(3)))).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14800*x**4 - 4*x**2 - 25291*x wrt x.\nAnswer: -177600*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4454 - -796. Is p a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = -3*p + 7, 5*p = 36*o - 39*o + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 802 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 13005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3945736 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 315.55368 nanoseconds to hours.\nAnswer: 0.0000000000876538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 40 (base 5) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 74 and 20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -206, -124, 88, 496, 1166, 2164, 3556?\n\"Answer: 11*x**3 - x**2 + 8*x - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 107973 - -1?\nAnswer: 107974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 5*w - 1827, -2*w + 3*h = -457 - 283. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - 3927\/(-429)) + (-164)\/52 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -8*z - 62. Let h be c(-8). What is the highest common divisor of h and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 485544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/2 + (-70)\/4. Let c = 28 + u. Suppose 6*x = -5*g + x + c, x = 3*g - 6. Calculate the greatest common divisor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 464.706ns to milliseconds.\nAnswer: 0.000464706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(270) + sqrt(30)) + sqrt(30) + sqrt(30))\/(-2*sqrt(80)))\/(sqrt(24)\/sqrt(200) - sqrt(3) - (sqrt(3) - 5*sqrt(3)*-1)).\nAnswer: -55*sqrt(2)\/136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 1:24 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -27816\/3811 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-700)\/273)\/25*4554\/(-552).\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5809308240 to the nearest integer?\nAnswer: 76219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 9371997910 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 1:15 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 220361 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: Find the common denominator of (((-225)\/(-2))\/9)\/(-2) and -71\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 171060 is divided by 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -11 - -22 - (5 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3799 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 26.5? (a) 2\/23 (b) 0.2 (c) -0.2 (d) -2\/13 (e) 5 (f) -1400\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -8745*n + 8762*n + 187 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-33 - (7 - (4 + -4))) + 0 + (-5 - -13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-242)\/9*(-3)\/(-4). Let f be 37\/2 - 3\/(-2). Let x = s + f. Sort 0, 1, x in increasing order.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1373 times 18?\nAnswer: 24714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*((l*l\/(l*(l*l**(1\/6)\/l*l)\/l))\/l)\/l)**40 assuming l is positive.\nAnswer: l**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 6*x**2 - 8*x + 6. Let v(y) = -y**2 + y + 1. Give -p(t) - 8*v(t).\nAnswer: 2*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003396 rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -16? (a) 4 (b) 1\/7 (c) -0.4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5562 - 1898. What is the highest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1219005\/8 or -152376?\nAnswer: -152376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3788.534 + -3809. Round t to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 5*x - 350 = 0, 6*x - 5*x - 8 = 0. Which is greater: 97 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 11*h**2 - 23693*h - 308353. What is o(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3604060 is divided by 770.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 287070 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2, -7, -20, -37, -58?\n\"Answer: -2*x**2 - 3*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - -450524?\nAnswer: 450530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8584643159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4539*m**3 + 5*m**2 + 2*m - 471525 wrt m.\nAnswer: 13617*m**2 + 10*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is h in -2*h**4\/7 - 716*h**3\/7 - 17874*h**2\/7 = 0?\nAnswer: -331, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zwwwwckkkzckkwcnwn. Give prob of picking 1 n and 3 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.3 + 0. Let v = 0.7 - z. Which is the smallest value? (a) 0 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 421022400 - -3?\nAnswer: 421022403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 5 (c) 90 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 16) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(480) + ((sqrt(480)*-3 - sqrt(480))*-3 + sqrt(480) - sqrt(480) - sqrt(480)))\/sqrt(8))\/(sqrt(768)*2 + (sqrt(12) - (sqrt(12) + sqrt(300))*-4)).\nAnswer: -24*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 73547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 640032.1 centuries in years?\nAnswer: 64003210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 243 = -0*t - 3*b, 2*b = -3*t + 233. Let c = t + -76. Calculate the remainder when 12 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 85 + 113 + 3*d**2 - 52*d + 125 - 57 + 51*d.\nAnswer: 3*d**2 - d + 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 503216064.\nAnswer: 2, 3, 13, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - y = -5252, -l + 8752 = -6*l + 2*y. Let w = -562 - l. Suppose -5*d + w = x, -697 = -3*d - 5*x + x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -81*j - 162. Let o be t(-2). Solve -5*i = -o*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8463.57 nanoseconds in minutes?\nAnswer: 0.0000001410595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -556*w - 4118 - 842 = 5048 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -63 + 68. Solve k*s = -m + 26, -5*m = -m + 5*s - 29 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21 and 455771889.\nAnswer: 3190403223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 14*y**4 + 54 + 596\/3*y**2 - 2\/3*y**5 - 174*y - 92*y**3 = 0. Calculate y.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 100 (base 2) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2391 - 2227. Put z, 5, -3 in descending order.\nAnswer: z, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 + a - 39. Determine s(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -781809, -1563613, -2345419, -3127227?\n\"Answer: -g**2 - 781801*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*(-3 + (-21)\/(-9)). Suppose 5*n - 21 = x, 0 = 4*n - i*n + 3*x - 5. Suppose 5*l - 15 = 0, -b + 81 = n*b + 2*l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - -2. Let n be (-7)\/(-6) + 10\/(-15). Sort f, n, 0.4 in decreasing order.\nAnswer: f, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = 261*c - 2815 - 1040 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.47 + 0.17. Let t = 53219 + -53224. Which is the closest to x? (a) t (b) -0.12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + -2.2. Let k = -0.7 - t. Let b = -0.6 + 0.3. What is the biggest value in -0.1, k, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w. Let p(u) = -2*u - 11. Let b(i) = -p(i) + 5*q(i). Let h be b(9). Suppose -2*d + h = 2*f, -5*f + 0*f + 173 = d. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 - 4*t**2 - 2*t + 2. Let f be g(-4). What is the remainder when (216\/f)\/(291\/(-30) + 10) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 22688018 - -53\nAnswer: 22688071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 3*m - 14. Let p be d(6). Differentiate -30*r**4 + 0*r**2 - 6 + 0*r**2 + 15*r**p wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 12786 divided by 3\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -59143836 divided by 1.\nAnswer: -59143836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 59234 times 44\nAnswer: 2606296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 115\/28 in 2\/3, 0.27, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1284 - -1?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -459, -925, -1395, -1869, -2347, -2829?\n\"Answer: -2*q**2 - 460*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.2 + -1.6. Let o = j + 0.5. Suppose 4 = -4*l - 4. Which is the nearest to l? (a) -5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -147 - -184. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 5*a = 0. Suppose a = -k + 3. Solve 0 = -k*t + 15 - 0, -t = 3*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of m**4\/6 + 7*m**3\/6 - 55*m**2 - 82*m + 24. Calculate p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4186.444293 to the nearest integer.\nAnswer: -4186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3542*h**2*m**3 - 15114*h**2*m**2 + 6*m**3 wrt m.\nAnswer: -21252*h**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 - 15*g + 90. Let b be t(-16). What is the units digit of (1 + 5\/3)\/(b\/1443)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 2180745 = -g - 1198458, -5*h = -3*g - 3379219. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + -31 + (1 - (-2 - -2 - 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 + 4*l**2 - 2*l - 1. Let n be x(3). Suppose -n*g + q = -3*q - 260, 3*g + 4*q - 380 = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3663 and 3303027?\nAnswer: 36333297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16 - -42. What is the greatest common divisor of 130 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 986.1753ml to litres.\nAnswer: 0.9861753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 74904 and -0.05.\nAnswer: 74903.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*v**5*z - 1444*v**5 + 2*v**2 - 11932*v - 2*z wrt v.\nAnswer: 540*v**2*z - 86640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 450\/(-2250) + (-168)\/(-1040)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29687072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 + 9*p**2 + 6*p - 10. Let q be y(-8). What is the remainder when 380\/16 - q\/8 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -576.8785 to the nearest integer.\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -5*d + 2. Let x = d - -5. Solve v - 12 = 2*c - 3, -x*v + 12 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:47 AM and 7:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -41b19 (base 12) to base 9\nAnswer: -141313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -21*d**3 - 67*d**2 + 6*d. Let x(o) = -o**3 - 2*o. Let b(y) = -n(y) - 3*x(y). What is the third derivative of b(j) wrt j?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46969 divided by 332?\nAnswer: 46969\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b + 4*q - 23 = 0, -2*b - 3*q - 4 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 - 4 = x. Suppose x*n - 1251 = 14*n. List the prime factors of n.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (2 + (sqrt(2057)*-3 + 3 - ((sqrt(2057) - (2 + (1*sqrt(2057) - sqrt(2057) - sqrt(2057) - sqrt(2057)))) + sqrt(2057) - sqrt(2057))))**2*-1.\nAnswer: -74097 + 924*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*p**3 + 5966*p**2 - 1866403*p?\nAnswer: 36*p + 11932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1 - 3*y**4 + y**4 + 5*y**4 + 8*y**4 wrt y?\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x + 14. Let b be 2\/(-8) + (-46)\/8. Let c be s(b). Is (732\/c)\/(9\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7715854 divided by 2.\nAnswer: -3857927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 362 - 358. Solve -s*y + 8*k = 3*k - 3, 2*y = -4*k + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-8)\/(-4) - -1) + 3. Suppose -9*w + 54 = -v*w. Solve 0 = 2*s - 5*f - w, -3*s + 23 = -2*f + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 55833, 57614, 59395?\n\"Answer: 1781*g + 54052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(1 + sqrt(36)\/(sqrt(24)\/sqrt(8))))**2.\nAnswer: 144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 318*l - 21694. Calculate w(68).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 16, 2, -70, -32 in ascending order.\nAnswer: -70, -32, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 - 2*m**2 + 8*m - 18. Let o be y(-8). Suppose 5*z + 74 = s, -2*s = s + z - o. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.31 - -0.11. Let k(y) = -y**3 + 6*y**2 - y + 2. Let l be k(6). What is the smallest value in l, 0.2, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + ((-104)\/(-39))\/((-4)\/6). Let j(w) = -w**3 - 3*w**2 + 4*w - 26. Let q be j(r). Which is the nearest to -1\/2? (a) 3 (b) q (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 0*m = -101. Let t = m + 193. Suppose 7*z - 3*z = t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 11200696*-3.4\nAnswer: -38082366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 728902003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i*i**(2\/9)*i)**(-8\/3))**(-3\/29) assuming i is positive.\nAnswer: i**(304\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**3 - 20*a**2 + 13. Suppose -33*n + 164 + 47 + 119 = 0. What is z(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/(-40)*12*4\/(-39). Which is the closest to -2? (a) -1\/6 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 44133552 and 4903728.\nAnswer: 44133552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 6 = h, 3*g - 5*h - 22 = -0. Let t(f) = 12*f + 61. What are the prime factors of t(g)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 16*x + 3. Let r(o) = -o**4 + 15*o + 2. Let q(p) = 2*k(p) - 3*r(p). What is the second derivative of q(c) wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -12369, -49146, -110415, -196170, -306405, -441114, -600291?\n\"Answer: o**3 - 12252*o**2 - 28*o - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2742 is divided by 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1554 - -1554. Do u and 2\/1511 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(363))*-3 + 4.\nAnswer: -33*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-3*sqrt(1584))**2 + -4*((3*sqrt(11))**2 + 4).\nAnswer: -28924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 7*i + 92. Let o be b(-12). Solve -3*x - 3*m = -o*m - 8, 0 = -2*m - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, e: 4, r: 1, u: 4, o: 7, f: 2}. Give prob of picking 1 r, 1 e, and 2 o.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 + 47 + 5 + -1. Suppose 4*j - 5*j + d = -47, 2*j = 3*d + 90. Let c(z) = -j - 3*z + h. Let t(v) = 4*v. Determine t(c(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2348, 4190, 6020, 7832, 9620?\n\"Answer: -k**3 + 1849*k + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1550963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -3*s**3 + 96*s**2 + 204*s = 0. Calculate s.\nAnswer: -2, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29197, -233489, -787991, -1867807, -3648041, -6303797?\nAnswer: -10010179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3158 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 27\/4? (a) 1 (b) 0 (c) -1 (d) -16 (e) 3511 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -5*i + 27. Determine j(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 4, g: 2, u: 1, w: 7, q: 1}. Give prob of sequence gu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32 and 9088.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1836220 and 40?\nAnswer: 3672440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 495, 486, 477, 468, 459, 450?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -269.02 and -12.\nAnswer: -281.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-12)\/(a**(4\/5)\/a) assuming a is positive.\nAnswer: a**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = -c - 2*p - 30 + 59, -4 = 2*c - p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 282967434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 + 2*d**2 + 4*d. Let p(l) = -l**2 - 17*l + 21. Let y be p(-18). Suppose 5*n + y*s - 4*s = 20, 0 = 4*s. What is the hundreds digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 28? (a) -5 (b) -3 (c) 4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 162337980 less than 162337980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1740 = 1482*k - 1598*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.64 - 4.82.\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11127 + 11128. What is the closest to g in -189, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 3 = i - 2, 2*r - 2*i = 2. Let o be (57\/(-38))\/((-21)\/(-28)). Let s = 83\/45 + -22\/9. Which is the closest to r? (a) s (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5734268, -5734270, -5734272, -5734274, -5734276?\nAnswer: -5734278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 2\/9*x**3 - 22\/9*x**2 - 112\/9*x - 40\/3 = 0. Calculate x.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 44, -3\/2, 2\/115, 3\/8, 0, -3 in decreasing order.\nAnswer: 44, 3\/8, 2\/115, 0, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -42*y + 45. Let u be k(4). Let i = u + 153. Suppose 0 = -26*p + i*p - 232. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4063160 and 10.\nAnswer: 4063160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.082 - -2.082. Is -2\/7 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/117520 and -75\/12656?\nAnswer: 822640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is aa075 - 9?\nAnswer: aa068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -47.9?\nAnswer: -239.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 - 3*o. Let m be x(5). Let r = 376 + -376. Suppose -4*g - 4 = -3*b, r = -4*b + 3*g + g + 4. Solve b*j = 5*j + m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of s**4\/4 - s**3\/3 + 3*s**2\/2 + 4*s - 2. Is h(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 4:40 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be -10*(-2 + 8\/5). Suppose 0 = z*g - 8. Which is the nearest to -0.2? (a) -1 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 32178*u**4 + 2237*u - 3?\nAnswer: 386136*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*d + 251 - 1707 = 0. Calculate the smallest common multiple of d and 56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -123, 3, -18, -97, -3, -4, -2 in descending order.\nAnswer: 3, -2, -3, -4, -18, -97, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 1134?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 395900676?\nAnswer: 2, 3, 3665747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 259 - 215. Let k = -18 - -34. Calculate the remainder when r is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w**2*w))**(21\/2)*(w**(1\/4))**(-50))**(-33) assuming w is positive.\nAnswer: w**1452","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -22.83 + -38.15. Let m = 61.115 + -0.115. Let o = m + w. Which is the fourth smallest value? (a) -3\/4 (b) -1 (c) o (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 5 + 4540137974*a**2 - 4540137936*a**2.\nAnswer: 38*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 + 3 + 0\/(-3). Suppose 2*s = h*v + 302, 2*s + 2*s + 2*v - 574 = 0. What are the prime factors of s?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 4*q - 667 = 48, -4*q = -4*p + 2872. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 92 - 324*u - 322*u - 13 + 203*u**3 + 643*u wrt u?\nAnswer: 1218*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -2*j**2 - j + 1. Let o be b(1). Suppose -5*t = -3*u - 152, -4*t - u + 6 = -102. Let a be ((-3)\/o)\/(21\/t). Solve 0 = i + d + d + a, -i + 7 = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1268762.\nAnswer: 2, 11, 101, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + (-1488)\/(-184) - -1*6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3808103311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/4, -1831.3, 1 in ascending order.\nAnswer: -1831.3, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5837101?\nAnswer: 23, 253787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-3\/8)*n)\/(n**10*n))\/((n**(-13\/2)\/n)\/(n**(16\/5)\/n)) assuming n is positive.\nAnswer: n**(-27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (40\/30*(-18)\/4)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 123*h + 175*h + 158*h + h**3 - 498*h.\nAnswer: h**3 - 42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 385*f**3*k**3 - 33*f**3*k + 2*f**2*k**2 + 5529*f*k**3 wrt f.\nAnswer: 2310*k**3 - 198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-71 + 71 + 4*w - 2*w**2)*(-3*w**2 - 2*w**2 + 3*w**2).\nAnswer: 4*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p - 6. Let m be n(7). Let y be (-15)\/(m\/((-6)\/9)). What is the greatest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 72500*b**3 + b**2 - 3*b + 2. Let u be f(2). Suppose q + 2*v = -q - u, 1160000 = -4*q + 5*v. What is q rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -78 = -7*o - 57 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 + -2. Suppose 11*k = 6*k. Sort j, -5, k in decreasing order.\nAnswer: j, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 6, p: 4}. Give prob of picking 4 p.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 7749767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2154*t - 2789*t + 1759*t = 92336 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 183 + -188. Sort b, 4, 0.1, 3.\nAnswer: b, 0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4766 is divided by 81.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 + 2 + 2 - 17 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 478 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 - -21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 784 and 784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + -160557?\nAnswer: -160557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:25 AM and 7:12 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -80 + 166. Let z = r + -99.2. Round z to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -1, 1, -4, -7, 14 in increasing order.\nAnswer: -7, -4, -1, 1, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h**2 + 12*h. Let t(f) = f. Let d(l) = -12*t(l) + v(l). Suppose -2*s - 3 = -4*u + 5, 40 = 5*s + 5*u. Let z(x) = 5*x - s*x + x - 4*x. Give z(d(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 2*k**5\/17 + 746*k**4\/17 - 26026*k**3\/17 - 41610*k**2\/17 + 534600*k\/17 = 0.\nAnswer: -405, -5, 0, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-4))\/(3\/6*-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 212*t**3 - 88*t**3 + 2*t - 82*t**3 + 3*t**2 + 0*t as j*t**2 + n*t + z + q*t**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -74b (base 12) in base 7?\nAnswer: -3053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*q**2 - 5*q**3 - 8*q**2 - q**2 - 9*q**2.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21, -19, -15, -9, -1, 9, 21?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = 4*o + 21, -16 + 3 = 2*o + 3*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.2 - -6.2. Let y = -7.34554 + 7.24554. Put -2, y, o, -5 in descending order.\nAnswer: o, y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.6 + -42.6. Let c = 25 + i. Let x = c + 16.9958. What is x rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/19750764 and 83\/1100.\nAnswer: 493769100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -319bb72 - -95?\nAnswer: -319ba99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*v - 24*v + 23*v + 30*v + 48*v.\nAnswer: 110*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - 34 - (15 + -17 + 8 + -2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 271980 and 1440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -9*y**2 + 5*y + 6. Suppose 0*i + 3*i - 15 = 0. Let q be m(i). What is the common denominator of 4\/8 + q\/40 and -103\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**3 + 7*d**2 - d - 8. What is the remainder when f(-5) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79*j**2 + 81*j**2 + 93*j**2 - 248*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7727658923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -204.821 rounded to the nearest integer?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, b: 1, a: 1}. Give prob of sequence ba.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + (-6 - (5 + -8)). Let y = -0.14 + 0.08. Let a = 0.34 - y. What is the closest to -7 in a, h, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 - 7*r**2 - 8*r - 46. Is c(-8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*c**2 + 67*c**2 - 31*c**2 - 26*c**2.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19 - -11. Let t(z) = 5*z + 3. Let w be t(3). Let a = u + w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (2 - (-6 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4241202 is divided by 4771?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 44*y**2. Let u be i(-2). Suppose 6*a - u = 10*a. Let z = a + 55. What is the least common multiple of z and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -5*u + 8. Let x(i) be the first derivative of i**2\/2 + 11*i - 5. What is the remainder when u is divided by x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-2))\/(7\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 45534 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4886865941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1847, 7298, 16383, 29102?\n\"Answer: 1817*d**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10.46 - -11.46. Let p = 3.2 + -4. Let o = p - -0.9. What is the nearest to o in y, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 563327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.11 + 8.83. Let j = o + 1.38. Let m = 7.09999906 - j. What is m rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:04 AM and 2:19 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oyfyfuyyy. What is prob of picking 1 o and 1 f?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of 18*y**6\/5 + 3*y**5\/20 - 698*y**3\/3 + 347*y. What is the second derivative of k(c) wrt c?\nAnswer: 1296*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2\/129 - 401\/903. Let q = 416.7 - 417. Which is the biggest value? (a) r (b) 0.9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.868 - 4.868. Let i = 3 - 3.05. What is the nearest to 0.1 in 0, k, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41999 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -366*j + 81 + 643 - 9142 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 126240166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 5*c - 4. Let i(x) = 8778*x + 2. Determine i(m(n)).\nAnswer: 43890*n - 35110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 103266427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 - (-22)\/(-8))\/(-3). Let x = 55.8 - 56.1. Let o = 87\/55 + -13\/11. What is the second biggest value in n, x, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2 = 12. Let o be (1\/(-1) - j) + 6. Is 1\/43 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 52 + -49. Suppose k*z + 6*z = 45. Solve 2*m = 7*m - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + r = 25. Suppose -h = -i - 0*i + r, h = 2*i - 7. Let n be 14\/(-168)*(i - 0). What is the nearest to 0 in -1\/2, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3899?\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44.9 - 9.9. Let s = -36 + i. Let j = 0.5 + -7.5. What is the biggest value in s, 2\/7, -4\/3, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 166*h - 105. Let c(z) = -51*z. Let v(i) = -3*c(i) - l(i). Determine v(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -76 times 2.7?\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - 1615220?\nAnswer: -1615215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2525348 (base 9) to base 16\nAnswer: -14fbcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*p - 900 = 14*p + 5*g, -5*p + 2*g + 4454 = 0. Does 57 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 268263435 to the nearest integer?\nAnswer: 16379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(3 + 2025\/(-630))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2054658 divided by -6.\nAnswer: -342443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5822737 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -37 in -2\/9, -5, 1\/2, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 751377124?\nAnswer: 2, 29, 1669, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of 4*y**5\/15 - 3*y**2 - 2*y. Let h(z) = -14*z**2. Give p(h(o)).\nAnswer: 3136*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 66039 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 379 is divided by 98.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jpei when four letters picked without replacement from nnepjnpznnjpij?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9226 + 9226. Solve o = -3*a - 0 - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o + 6*o - 6*o)*(2 - 2 + o)*(6*o**2 - 2*o**2 - 2*o**2) + 41255*o + 405*o**4 - 41255*o.\nAnswer: 409*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be 14\/(12\/(-4) - -1). Let o(y) = 2*y**2 - 9*y - 9. Let j be o(c). Suppose -6*s + 2*s + j = 0. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -453 + 485. Suppose 9*f - 12*f - v = -4*s, 0 = -2*f - s - 14. Sort -5, -4, f, -7 in increasing order.\nAnswer: f, -7, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 0.5.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor r**4\/5 + 110161*r**3\/5 - 440656*r**2\/5 + 88132*r.\nAnswer: r*(r - 2)**2*(r + 110165)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2.432 * 0.765\nAnswer: -1.86048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 12 + 15*f + 8 - 8*f + 3*f**3 + 89*f**2 in the form p*f**3 + s + t*f + c*f**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnngnngnngngggngnn.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 - m**2 - 2. Does 13 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 12, 53, 122, 219, 344, 497, 678?\n\"Answer: 14*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - (12 - 0) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00044394 to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2486561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 3*j - j - j - 2*j + 8. Let z(a) = -1 + 7 + 1 - a. Calculate 5*l(r) - 6*z(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5180 = 332*x + 15525 - 3441 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 25 - 45 + 25 - 8*y + 10*y. Let p(t) = t + 4. Let w be 10\/(-25) - (-72)\/(-20). Determine w*p(u) + 3*h(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes after 1:34 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9609.\nAnswer: 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 7164990 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00011515203 to 6 decimal places.\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hsswshrhss. Give prob of sequence swss.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -530 + -5?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 23813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000328 rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 576156 is divided by 57612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -363637 + 80000317\/220. Let w = q - 27\/20. Is -2 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 252 = s - 239, 5*s + 5*q + 65 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**3\/3 - 486*a**2 - 177147*a.\nAnswer: -a*(a + 729)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*h - 63*h + 5*p = -33, -5*p = -h + 48. Let w = 1 + 2. Solve w = h*b - 0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 11*t - 1. Let d(g) = 9*g. Let p(l) = 5*d(l) - 4*j(l). What is p(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*f, 0 = 5*h + 4*f - 37 + 2. Suppose h*o + 31 - 8 = 5*i, -5*i + 5*o = -25. Suppose -40 = -i*s - 12. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:23 AM and 4:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.87? (a) -3 (b) -5\/6 (c) 0.4 (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -260822 - 215136 = 7*v. Is (2 + 40\/(-16))*v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1434 - -2585. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 23\/(-7) - (-2)\/7. Suppose -3*z + 7 = 2*t, 0 = -3*t + 8*z - 7*z + 60. Put t, g, 3 in descending order.\nAnswer: t, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*g**3 - 253399*g**2 - 4984636*g - 3210468 = 0. Calculate g.\nAnswer: -19, -2\/3, 84486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (90\/(-320))\/(204\/544) + (-1)\/(2 + -1).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/((-2*3\/45)\/(20\/(-90)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 2284160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*b**2*d**2*f**2 + 4*b**2*d*f**2 - 731*b**2*f**2 + 61*b*d**2*f**2 - d*f**2 wrt d?\nAnswer: 6*b**2*f**2 + 122*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/3))**11 assuming s is positive.\nAnswer: s**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144*o - 9 = 135*o. What is the second biggest value in o, 0.1, 0.2, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1705 + 1725. Solve -i + 10 = -2*k + 2*i, 0 = -4*k - i - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.2 (b) 51 (c) 1\/14 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00008361 to six decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 215536?\nAnswer: 2, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/5 in -2\/51, 1\/4, -1\/9, 16\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 53 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.0665676 + -437.0250324. Let s = j - -437. Round s to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 163524 (base 7) to base 15.\nAnswer: 9970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.04 - 1.96. Let v = h - -1.9. Let c = -137 - -142. Sort c, 1\/2, v in increasing order.\nAnswer: v, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -331*h**2 + 557*h**2 + 568*h**2 - 10*h - 75 wrt h.\nAnswer: 1588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-3)*i*i**(-3)*(i*i\/(((i*i**(1\/3))\/i)\/i))**35 assuming i is positive.\nAnswer: i**(265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -7*f**2. Let n(g) be the first derivative of -5*g**2\/2 + 3*g - 1618. Give n(s(m)).\nAnswer: 35*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 64948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sdfsr. Give prob of sequence rsf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the third derivative of p**9\/211680 + p**8\/35280 + p**5\/60 + p**2. Let s(r) be the third derivative of z(r). Factor s(y).\nAnswer: 2*y**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j**4 + 84*j**3 + 78*j**2 - 84*j - 81 = 0.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 18.260297261 - 18.2604. Round q to 6 decimal places.\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*s - 388 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -j**2 - 923581*j + 922581*j + 2*j**2 as b*j + m + z*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -8 bigger than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*t - 150 = 3*j, -4420*t = -4423*t - 4*j + 64 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 607090, 607088, 607086, 607084, 607082?\nAnswer: 607080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1015d (base 16) to base 14.\nAnswer: -1a021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 725065458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 11*q**2 - 53*q + 12. Let y(t) = 5*t**2 - 26*t + 5. Calculate 3*n(l) - 7*y(l).\nAnswer: -2*l**2 + 23*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = -4*r - 2*h - 40, 3*h = 3*r + 12. Let u = r + 13. Solve -4 + 23 = -4*p - b, -u*p = 4*b + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(2) + (sqrt(10)\/(sqrt(15)\/sqrt(3)) - sqrt(2)) - (1 + 1 + sqrt(2) + sqrt(2))))**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43 - 40. Suppose 2*h = -2*u + u + 34, 0 = -x*h - 5*u + 37. Suppose -55 = 4*g - 9*g. Calculate the remainder when h is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.67 - -16.929.\nAnswer: 16.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -558, 16, 123.\nAnswer: -558, 16, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(3136\/5292 - 4\/(-54))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3401*b**2*d**3 - 6*b*d**3 + 2*b*d**2 - b - 58 wrt b.\nAnswer: -6802*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 3)*(-24*i + 15*i - 19*i) + (-4 + 0 + 3)*(3*i - 5*i + 0*i) to j + a*i and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - -17452077011.57.\nAnswer: 17452077011.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (33\/66)\/((-3)\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -200*y + 127056 = -1220*y - 1613*y - 14*y for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 38 + 0*a + 42 - 5*a. Is 3 a factor of g(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -88120 and -3.\nAnswer: 264360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 - (2 - (-192890)\/12). Let g = a - -16016. Let h = 257\/3 + g. What is the common denominator of h and 55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -221 (base 5) to base 13\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 369 and -6.\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*f + 50 = 31*f + 2*t, 5*f + 133 = -3*t. Let s be 2\/(-6) + (-296)\/12. Do f and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29122701 times 1?\nAnswer: -29122701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1734*f**2*u**2*w - f**2*u*w - 154*f**2*w + 3*f*u*w + 4*f*w + 2*u**2*w - 42*w - 1 wrt f.\nAnswer: -3468*u**2*w - 2*u*w - 308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1259\/4080 + 1\/255. Let x = 1\/16 - n. Which is the third biggest value? (a) -0.2 (b) -4\/7 (c) 0.2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-15 - -3)\/(-4))\/(((-2145)\/(-10))\/(-13)). Sort 3, 3\/4, o, -22.\nAnswer: -22, o, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = 36*v - 37*v, 2*c - 3*v = -3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 3*r + 9. Suppose 7 = c - 0*c. Calculate the smallest common multiple of d(c) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of g**5\/60 + g**4\/12 - g**3\/3 - 2*g. Let f(o) be the second derivative of c(o). What is the derivative of f(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = 23043 - 2487. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sf when two letters picked without replacement from ufffffuufsfuf?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2327051 is divided by 232705.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, -12, 564, -0.01, -6, 1\/4 in decreasing order.\nAnswer: 564, 4, 2, 1\/4, -0.01, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 9:33 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 324 at least 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(2\/11)\/(a*a**2)*a**1*a**0 assuming a is positive.\nAnswer: a**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 7*w**2 + 4*w - 6. Suppose 0 = -3*b + b - 30. Let s be (-3 - 1)*b\/(-12). Let g(t) = -6*t**2 - 3*t + 5. Give s*k(n) - 6*g(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 112 and 4328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -262 - -523. Suppose 0 = -4*n + 2*n - 2*c + 78, -n - 3*c + 39 = 0. Suppose -n + k = -x - d, -4*x + 4*d - 872 = 0. Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 2*z**3 + 4*z**2 - 2705*z - 8101. Calculate w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 49 + 6150*h**3 + 65 + 0*h - 6166*h**3 + h in the form w*h**2 + j + u*h + a*h**3 and give j.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1215, -1288, -1357, -1422?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/(t\/(t**3*t*t))*t)\/(t*t**(1\/3))*(t*t**(-2\/15))\/t*t**(-4)*t assuming t is positive.\nAnswer: t**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -23766.806 * -0.5.\nAnswer: 11883.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 119*t + 224. Give j(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x + m + 39, -38*m + 9 = -35*m. What is the greatest common factor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -28 + 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of o**4\/4 - 6*o. Let c(z) be the first derivative of 5*z**2\/2 + 212. Give h(c(s)).\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 415 * -211\nAnswer: -87565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -7.6. Let w = -55.1 - -54.9. Let q = w + v. Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52374 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Simplify (q\/q**(-2\/9))\/((q*q\/((q**(4\/11)*q)\/q))\/q)*q**(-1\/6)*q*q\/(q*(q\/(q\/(q*q**7*q*q)))\/q) assuming q is positive.\nAnswer: q**(-1501\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*r + 4 - 4)*(6 - 1 - 3 + (0 - 2 + 0)*(0 + 2 + 0)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zbbbpzbpbbbpzbppz. Give prob of picking 3 b and 1 p.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32944232 and 21692?\nAnswer: 362386552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 31574288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/4 + 2 + -5. Suppose w = 13*a - 15*a - 6. What is the closest to 1\/3 in 4, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (88 - 6*o - 88)*(-3*o - 2 + 0*o - 3).\nAnswer: 18*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, -46, 0, 1 in ascending order.\nAnswer: -46, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 682195*j**2 + 2752*j + 86. Let t(n) = 23524*n**2 + 96*n + 3. Determine 3*o(g) - 86*t(g).\nAnswer: 23521*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a + 180. Let y be g(0). Let m(r) = -6*r + 112. Let j be m(14). Let q be -20*6\/j*(-84)\/18. Calculate the highest common factor of y and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70415369.\nAnswer: 70415369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 + 3*h**2 - 3*h. Let y be q(2). Let k be (1\/(y*2\/4))\/1. Sort 1, 4, k.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 720 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -4, -3, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-140)\/(-378)*(-66)\/(-55)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor r**2\/2 - 95*r\/2 - 198.\nAnswer: (r - 99)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5640 - -7940. What is the highest common factor of 450 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*y + 60 = -19*y. Calculate the least common multiple of y and 76.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -3042166?\nAnswer: -3042204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 15 = 0, -2*w = -2*k + 4*k - 186. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 5*j - 2770 = 0, 5*a + j - 2786 = -0*j. Suppose 2*r + 271 - 307 = 0. What is the greatest common factor of a and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/17 (c) 1.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.025928 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13.8 - -14. Let m = -2.844 + 236.044. Let q = 233 - m. Which is the third smallest value? (a) -1\/10 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.043 - 2.17. Let t = 0.078 + i. What is t rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 325620 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -3*x**5 + 275*x**4 + 20677*x**3 + 26981*x**2 - 6954*x - 13536 = 0.\nAnswer: -48, -1, 2\/3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -2*t + 21. Let i(j) be the first derivative of t + j**3 + 4 - 50 + j**3. Let n(x) = -3*x. Calculate i(n(l)).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -3*c**2\/2 - 2011455*c\/4 + 1005729\/4 = 0.\nAnswer: -335243, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-27)\/(-594))\/(9\/504*14))\/((-26)\/2).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -396?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 8*y**2 + 9*y - 20. Let v be h(-6). Let x be 8\/6*(-1 + -2). Put v, x, -5, 4 in increasing order.\nAnswer: -5, x, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.054 in 1, -1\/111, 0, -4, -2?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 252*f + 257*f = -170353, 4*w + 3*f = 340771. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(396))\/(-6*sqrt(8)\/sqrt(2) + sqrt(4)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-6)*(-9)\/(-6)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2. Let g(o) = -119*o - 3. What is c(d) + g(d)?\nAnswer: -119*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 5*u**5\/2 - 985*u**4 + 34445*u**3\/2 - 114640*u**2 + 339400*u - 376000 = 0.\nAnswer: 4, 5, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 29 - -432656.5.\nAnswer: 432685.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -4348 and -4642 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4169)\/(-286) + -13 - (-1)\/(-13). Let o be (-1)\/(4\/6 - 1). Determine j, given that 0 + 9\/2*j**3 - f*j**5 - 3\/2*j**2 + 3\/2*j**4 - o*j = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 + f**3)*(3 - 3 + 1) - 626*f**2 + 626*f**2 + 32*f**3)*(3*f - 4*f - f)*(-6 + 4*f + 6).\nAnswer: -264*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 3203, -377, 5 in descending order.\nAnswer: 3203, 5, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 7*r**2 + 6*r + 2. Let n(y) = -y + 59. Let z be n(-26). Let q = 90 - z. List the prime factors of l(q).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 5*f + 224. Let t = f + 39. Suppose t = 3*a + a - 256. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**2 - 1917734*b + 3835464.\nAnswer: (b - 1917732)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 68 = 3*i. Suppose -16*x + 228 = 3*x. Calculate the lowest common multiple of x and i.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 3*b + 69 = 0, 5*c - 3*b - 143 + 2 = 0. Let l = c - 13. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 + 101*f. Let b = 80 - 78. Let u(n) = -6*n**b + 3*n**2 + 3*n**2 - 6*n**2 + 4*n**2. Determine s(u(h)).\nAnswer: 4*h**4 - 202*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + 4*y - 691, t - 4*y - 388 = 287. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -349206292 + 0.4.\nAnswer: -349206291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/715248 and 133\/162?\nAnswer: 6437232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*d = -53*d + 63 + 333. Put -2\/3, 2\/17, -0.1, d, 2\/13 in increasing order.\nAnswer: -2\/3, -0.1, 2\/17, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 385 + 89564?\nAnswer: 89929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the second derivative of n - 5*n**2 + 0 - 1\/6*n**3. Let q(z) = 5*z**2 - 22*z + 2. Let b be q(4). Determine h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 - 1671*s + 9993. What is d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange g**3 + g + 20*g + 13*g to o + x*g + k*g**2 + b*g**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 157\/84 and 76\/119613081.\nAnswer: 478452324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 0.2, 3, 0.8, -23.\nAnswer: -23, -16, 0.2, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 13 + 11113331?\nAnswer: 11113344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -4, 1\/7, 1\/3, -3, 4.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 8) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 1 = 3*n + 22, 0 = 2*i + 3*n - 21. Suppose 0*b + 3*b - 2 = -2*m, -2*m - 2*b = -i. Suppose -4*z = -m*z + 60. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + 6 - 6)*((4 - 4 + 2*l)*(5*l - 5*l - 2*l**2) + l**3 + 6*l**3 + 12*l**3).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 28 + 26. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-4))\/(6\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(133) + sqrt(133))*5)\/(sqrt(35)\/sqrt(5)*2).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1529853436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 3\/29 (c) 3 (d) 23 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*x + 36 = x. Let c(y) = -x*y + 1 - 1 + 6 + 0. What is c(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**3 - 15*d**2 + 16*d - 2. Let i be q(-16). Which is bigger: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -209.579 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 898 - 898.3. Which is the closest to 0? (a) r (b) 3 (c) -4\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 453386.6 millimeters?\nAnswer: 0.4533866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -8*x + 35. Solve b - q - 2 = 4, 0 = x*q + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 136129772.\nAnswer: 2, 89, 389, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -2, -3212?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x - 4*g = -51, 15*g - 222 = 185*x - 184*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-3\/2))**(-4\/17)*(a\/a**3)**(8\/5))**12 assuming a is positive.\nAnswer: a**(-2904\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (36623\/2544 - (-105)\/(-7)) + (-3)\/((-9)\/2)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.113 - 0.042. Let o = i + -0.071. Put o, -4, 2\/7, -5 in increasing order.\nAnswer: -5, -4, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49388535 is divided by 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10 - -13. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 213338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/16 - (13 - 0)*(-66)\/(-2640).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from znaanzannnaz. Give prob of sequence az.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:51 PM and 8:38 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104*w + 369 + 1607 = 0. Solve -q + c = -4, 7*q - 3*q + 3*c + w = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -821, -740, -543, -182, 391, 1224, 2365?\nAnswer: 3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -283*m**5 - 4*m**2 wrt m.\nAnswer: -16980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 371 divide 281266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21 - -6. Does 4 divide (-5)\/w*(38 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -85 and 660.\nAnswer: -56100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 186?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from viiiiviiiviiiiii.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = 5*k + 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 17.37049499 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.57? (a) 0.4 (b) 2\/9 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 2)*(2*a - 2*a + 3*a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2 + 4)*(-25 - 1 + 57)*(-5 - 9*h**3 + 5) in the form j*h**2 + w*h**3 + a*h + l and give w.\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38021?\nAnswer: 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 9.14.\nAnswer: -3.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2645 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -15*v + 486. Suppose 0 = -31*h + 5*h + 390. Calculate the remainder when c(28) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 6*z - 2*b - 111 = 0, 3*b + 86 = -4*z. Let n = -10 - z. Let d = n - 6. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6 - 5 - (6\/2)\/(-3). Suppose -5*r - y*d = -3009, 0*r - 5*r + 2*d + 3001 = 0. List the prime factors of r.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6219 and 691?\nAnswer: 6219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112) + 0)*-5 + sqrt(112))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -58677\nAnswer: 5\/58677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhzzhhh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 - (-18 - 23) - 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3321\/39 - 2\/26*2. Find the common denominator of -39 and (5\/(-2) + 3)*(-380)\/q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 136\/11 - 283\/22. Sort 18, -4, g, 0.5 in ascending order.\nAnswer: -4, g, 0.5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of -a**2 - a + 24. Let n be l(-3). Put -2, -1, 2, n in decreasing order.\nAnswer: n, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/((-60)\/(-1))*(-60)\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4 + 8*c - c - 12*c - 18*c**5 wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(36)\/sqrt(4))\/(sqrt(6)\/(-3*sqrt(2))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3186144 and 51129?\nAnswer: 60536736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 236.14*0.8.\nAnswer: 188.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 366352 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*z + 28*z = 30. Suppose -z = -8*v + 6*v. Let y = 102 + v. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 764509886.\nAnswer: 2, 7, 359, 152111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 132473171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/242880 and 9\/506?\nAnswer: 242880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be 13\/2 + (-1)\/(-2). Let k(h) = h - 8. Let w be k(d). Let m = 414 + -412. Which is the third smallest value? (a) 1 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*c - 3*n, 5*c + 5*n - 30 = -0. Suppose -c*y = 4*f - 260 + 44, 143 = y - 5*f. What is y rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 308 = 14*p + 63*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - -175cc?\nAnswer: 175d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 5*f**3 + 1495*f**2 - 476820*f + 9307620 = 0.\nAnswer: -498, 21, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 399133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*b**2\/2 - 12*b + 8.\nAnswer: (b - 4)*(5*b - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -5834 - -0.4143.\nAnswer: -5833.5857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ajaj. Give prob of sequence jaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 + 64. Let x = -56.9 + u. What is x rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cllpcp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -1213\/419?\nAnswer: -1213\/419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b8 + -bee?\nAnswer: -cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of -z**5\/20 + z**4\/3 + z**3\/6 + z**2\/2 - z. What is the remainder when n(4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.74369 - -0.04369. Which is the second biggest value? (a) -0.4 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 4. What is the remainder when ((-5)\/10)\/(r\/(-100)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from {b: 2, r: 1, a: 1, w: 2, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 122341.\nAnswer: 19, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = -0*i - 3*i + 1, -4*m = i - 5. Find the third derivative of -13*c**4 + 14*c**4 + 12*c**2 - 4*c**2 + 2*c**m wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -40 - (-54 - -62 - (20 - (10 + (1 - 7))))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10)\/(-90) + 88\/18. Let q(k) be the first derivative of 0*k + 0*k**3 + 0*k**4 + 34 + 27\/5*k**f + 8*k**2. Find the second derivative of q(j) wrt j.\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -94671000 to the nearest one hundred thousand.\nAnswer: -94700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2027490, -2027489, -2027488, -2027487, -2027486, -2027485?\nAnswer: -2027484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**5\/c)**3 assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*l + 96*l + 591 + 807 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of -7*l + 1\/2*l**2 + 13 - 1\/3*l**3. Calculate w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*104\/72*3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 42561377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(-2)*(-30)\/(-9). Solve -5*v = y - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 193 (base 16) to base 14.\nAnswer: 20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*m + 5*l + 19, 3*m - l = 9. Suppose 5*w - 52 = 2*w - 5*b, 26 = 4*w - m*b. Let s(q) = -q**3 + 10*q**2 - 7*q - 3. Is s(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 2, -1320, -725, 4 in increasing order.\nAnswer: -1320, -725, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45071070 is divided by 941?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 1062.\nAnswer: -2\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.2 and -333.5?\nAnswer: 333.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 14*c - 7. Let v(m) = 187. Let k(d) = 117. Let q(r) = -8*k(r) + 5*v(r). Give 7*q(o) - z(o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 11.505 rounded to 1 dp?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**2 - 16*i - 61. Let z be k(-7). Suppose -3*m = -5*v - 2, m + 2*v - 16 = -z*m. Solve 3*w = 2*o + 21, m*o = 2*w + 2*o - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 0*a - 35. Let q = 10 - a. What is the second derivative of -f - f - q*f**2 + f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (15\/4)\/((-15)\/(-40)). Suppose -5*o = -3*l - 15, -2*o - l + i = -7. Calculate the remainder when 22 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*f**4 + 92*f**3 + 6816*f**2 + 92720*f + 377600 = 0. Calculate f.\nAnswer: -16, -10, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1324 - 308. Suppose 0*b - 4*b = -4*v - 128, 4*b + 5*v - 92 = 0. Suppose b = -4*i + c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1116)\/(-3)*1950\/(-58500)?\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 9, a: 10}. Give prob of sequence mmaa.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence udb when three letters picked without replacement from bbdddbdu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3699841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be -73 + 2\/11 + (-31)\/(-11). Let g = 208 + r. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 1 = -2*g - 3, -2*g + 2*r = -8. Let c be ((4\/7)\/(-2))\/(92\/(-644)). Suppose -20 = -5*v - 0*v + s, c*v - s = 5. Solve -4*x = -g*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (31\/(1054\/(-136)))\/((-5)\/35)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 2*n**2 + 8*n - 5. Let z be c(1). Let p(t) be the first derivative of t**4\/4 - 2*t**3 + 7*t**2 - 12*t - 1. Is p(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 82*a + 417. Let w be n(-5). Solve 13*z - w*z = 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 78*g - 7380. Let u be l(106). What is the greatest common divisor of u and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 83843540 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 6362 (base 7) to base 11.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 170 + 214 = 8*h. Calculate the smallest common multiple of h and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-5\/3)\/(c*c**(-5)\/c))\/(c*c**(-2\/23)*c**(1\/3)) assuming c is positive.\nAnswer: c**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -4*m - 9. Let k = 0 + -4. Let v(b) = 2*b - b + 1224 - 1229 - 3*b. Let i(z) = z**3 + 5*z**2 - 6*z + 7. Let d be i(-6). Give d*v(l) + k*a(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1 <= 8\/353315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(171) + 0 + 2)**2 - (-5 + sqrt(171) + 5)**2).\nAnswer: -72*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -12*y + 6. Let a(x) = 146*x**2 + 117*x**2 - 284*x**2. Give j(a(v)).\nAnswer: 252*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165992312?\nAnswer: 2, 20749039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.018603179 to four decimal places.\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 46\/7 + -48\/7. Let t = 1.7 - 1.45. Let h = t + 0.75. Put 0.1, u, h in increasing order.\nAnswer: u, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-177) + (-10528)\/(-16638) + 97\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 78188623 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -55521 + 276541\/5. Which is greater: -213 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 AM and 8:48 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 114 and 18202?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -208 less than -757224.52?\nAnswer: -757016.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 14941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -112*n + 30603. What is y(273)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -104404867 divided by 2\nAnswer: -104404867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes before 9:56 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 504303\/37 + -13629. Let y be 0*(5610\/280 + -20). Is z smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 7 - 5 = 0. Let n = -3.5 - -3. Let d = -5.28 - -0.28. What is the second biggest value in o, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:39 AM and 7:24 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) 5 (b) 1\/5 (c) -3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 274 and 0.09.\nAnswer: 24.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -g + 5. Let w be g\/((-15)\/(-9)*3). Let x = w - 17\/5. Which is the nearest to 2\/7? (a) 3 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 7*s**2 + 9*s - 10. Let l be t(7). Suppose -v = 21 - l. Suppose 12 = 10*o + v. Let j(x) = x**3 + 3*x**2 + 4*x + 3. What is j(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 283*f - 272*f - 2*x, -2*x + 7*x = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 31681716 and 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 26 divided by -190098\nAnswer: -13\/95049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of 0*k - 8\/5*k**5 + 27 + 12*k**2 + 29\/2*k**4 - 110\/3*k**3. Factor s(u).\nAnswer: -2*u*(u - 4)*(u - 3)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -6*i. Let f(x) = 224*x + 2. Give y(f(q)).\nAnswer: -1344*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:39 PM and 2:32 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 37 - 68. Let l(a) = -a**3 + 19*a**2 - 86*a - 22. Let j be l(11). Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 5*r**2 + 109*r + 496. Let i be f(-6). Let c(h) = -51*h - 3. Let l be c(-2). Calculate the greatest common divisor of i and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 4*g + 5*x - 31, -2*g - x = -9. Suppose 20*n - 288 = 16*n. Suppose g*k = 18 + n. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.0578776 times 3\nAnswer: 0.1736328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 4220.26 micrometers?\nAnswer: 0.422026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -47, 5, -75, -3, 7 in descending order.\nAnswer: 7, 5, -3, -47, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 10*p**2 - 25*p + 4. Let u be q(5). Solve u*y + 21 = -4*r - y, 12 = 2*r - 2*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -12*v - 152. Let w be j(-13). Solve -2*a - 2*k - 14 = 0, 5*a - 2*k = -3 - w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - 3) + (-56 - -68).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5 and -2*(4\/(-10))\/(8\/130).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (49\/((-539)\/4))\/(1\/(-11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 350*733745\nAnswer: 256810750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from lwpllwpp.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*i + 32. What is the third derivative of -69*f**i - 76*f**6 - 6*f**2 + 25*f**2 wrt f?\nAnswer: -9120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 - (4 + -6 - -5)\/(-1). Which is the fourth smallest value? (a) 6 (b) h (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 14\/9 - (-6 - (-168)\/27). What is the nearest to 0.1 in -0.1, n, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 245642 by -122821.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/((-44)\/(-20) + -3). Suppose 2550 = 3*u - 4*n, h*n - 2523 = -4*u + u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 = 22*j - 20*j. Let w be (-439)\/(-4) - 21\/j. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10110100011001 - 1100101?\nAnswer: -10110101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 50*q**2 - 47*q + 184. Calculate the smallest common multiple of 10 and w(5).\nAnswer: 11990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(114)*-5 - (sqrt(114) + (sqrt(114) - sqrt(114)*1 - sqrt(114))*4))\/(sqrt(72)\/(sqrt(60)\/(sqrt(25)\/sqrt(5)))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, -3, 1012129 in ascending order.\nAnswer: -4, -3, 2, 1012129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 128 - 128. Solve 0 = -3*v + 3*t, 8 = v - 3*t - g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 667068*w**2 + 667017*w**2 - 1334220*w**2.\nAnswer: -135*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 19277742 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the first derivative of t**3\/3 + t**2 + t - 1. Let q be z(-1). Suppose 5*h - 15 - 5 = 0. What is the second smallest value in q, h, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/4, 926, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -784629500 rounded to the nearest one million?\nAnswer: -785000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.7462659 grams?\nAnswer: 0.0007462659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**2 + 14660*k + 93541665.\nAnswer: -5*(k - 6033)*(k + 3101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, n: 2, k: 2, z: 3}. What is prob of sequence zkz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 78.83, -63, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 409362*i**2 - 8*i + 487646*i**2 + 165494*i**2. Let w be u(4). What is w rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 1466 - 296 = 0. Suppose -19*p + c + 753 = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -x - 1. Suppose -z + 4*k + 19 = 2*k, 3*k = -x. What is the greatest common factor of z and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -6*v**2 - 8*v - 8. Let z(d) = -6*d - 10*d**2 + 8*d**2 - 3 + 3*d. Let b(f) = -3*i(f) + 8*z(f). Let p(g) = -8*g**2. Give p(b(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -4, -194, 0, -3, -11, -2 in increasing order.\nAnswer: -194, -11, -6, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 2 + -6 + 1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 985691 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2697*k**3 + 2691*k**3 + 5 - 5.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -10*p - 25. Let k be l(-3). Suppose k*q + 3060 = 5*h, 4*h + 4*q = 9*q + 2450. What are the prime factors of h?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 221 and 225 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18602612 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30, 282, 968, 2304, 4506?\nAnswer: 7790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 212*t = -75*t - 693572 + 675204 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -163 + -16 + 166 + -42.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4561704 and 5880?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*m - 77*m + 2442 = 2542 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 5:35 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in 1\/4, 96, 2\/79, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/76 and -97\/1048.\nAnswer: 19912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7761 is divided by 290?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(13) + (sqrt(156) + (sqrt(156) - (sqrt(156)*-1 - sqrt(156))))\/sqrt(12) + (sqrt(52)\/sqrt(4) + -4 - sqrt(13))**2.\nAnswer: 5*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000052535 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 4)*(c**2 - 2 + 2)*((1 - 2 - 1)*(-c + 0*c - c) + (3*c + c + 0*c)*(-2 - 2 + 2) - 37*c + 26*c - 30*c).\nAnswer: 90*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -27*x - 13*x**2 - 29 + 28*x**2 - 6*x**2. What are the prime factors of j(-7)?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the first derivative of -a**6\/6 - 976*a**3\/3 + 469*a**2 - 1478. What is the second derivative of p(r) wrt r?\nAnswer: -20*r**3 - 1952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6378, 6347, 6316, 6285, 6254?\nAnswer: 6223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -602774 by -1849.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 6:49 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -25833d - -54?\nAnswer: -2582e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -944 + -11827a?\nAnswer: -119113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1476436864 and 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of -2*k**7\/105 - 3*k**6\/40 + k**5\/2 + k**4\/3 + 8*k**2. Factor q(u).\nAnswer: -u*(u - 2)*(u + 4)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 48*m + 4. Let h(u) = 14*u**2 + 2. Let v(g) = -34*g**2 - 5. Let j(d) = 5*h(d) + 2*v(d). Give j(s(a)).\nAnswer: 4608*a**2 + 768*a + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 28) + 47 + -28?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*l = 2*l + 88*l - 1034358. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*n = -367 + 607 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -7254 divided by -13\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -4*v - 11. Let k(d) = 3*d + 11. Let r(n) = -2*g(n) - 3*k(n). Differentiate r(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1827421667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/3 - (-8)\/3. Let m(u) = -2*u + 2*u**2 - l*u + 5*u. Let z(c) = 1 - 2*c - 1. Give z(m(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 9 + 2*g**2 - 952*g - g**2 + 947*g. Give v(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -297, -307, -317, -327, -337?\n\"Answer: -10*x - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l - 1 - 4. Suppose 4*d - l*d + 3 = 0. Let w be 1*9 - (2 - d). What is the highest common factor of w and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -1 (b) 804.48 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 9 + 11)*(2*o + 3 - 3).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3*(3 - 4\/1). Let s be -2 + -20*-2*3\/k. Find the second derivative of -15*y**5 + 78*y**5 - 4*y - s*y**5 wrt y.\nAnswer: 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*o + 858 = 28*o. Suppose 12*r = 9*r + o. Solve -s + 19 = 4*f, -5*f + 0*s - 3*s + r = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9268 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express w + 2*w**4 + 330 - 330 - 6*w**2 in the form b*w**4 + t + l*w**2 + r*w + p*w**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-32)\/(-2*(4 - 3)). Let d = 14 - r. Let y be ((-15)\/20 - d\/8)*-136. Calculate the highest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1680, -1805, -1862, -1851, -1772, -1625?\n\"Answer: 34*q**2 - 227*q - 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*31*15\/15. What is the highest common divisor of 248 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -137965*q + 137965*q - q**3 - 449*q**2 - 1707*q**2 + (-2*q**2 - 2*q**3 + 2*q**2)*(5 - 3 + 0).\nAnswer: -5*q**3 - 2156*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1.4, 3, 0, -2\/17, 1\/32 in ascending order.\nAnswer: -1.4, -2\/17, 0, 1\/32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2 + 7. Suppose -16*d + 8 = -12*d. Let x(y) = 9*y + d*y + y - 13*y. What is x(t(r))?\nAnswer: -r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes before 4:05 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k**3 - 137560*k**2 + 947237200*k - 15120600320 = 0 for k.\nAnswer: 16, 13748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5 - 2 - 2 - -120. Let y = -121 + x. Suppose 9*s - 4*s + 1 = -4*d, y = -3*d - 4*s - 1. Calculate the greatest common divisor of d and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 + 1 - -1)*(-8 + 6). Let w(x) = -x**2 - 35*x + 115. Let n be w(3). Sort n, s, 23, 5 in descending order.\nAnswer: 23, 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -867738, -1735498, -2603282, -3471096, -4338946, -5206838?\n\"Answer: -l**3 - 6*l**2 - 867735*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 465 + -461.996. Let u = 3 - f. What is u rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 137.6 + -134. Let l = -94.4 - o. Which is the second biggest value? (a) -5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6260331 (base 8) in base 10?\nAnswer: -1663193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 81113 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6034153 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of 7*k**5\/20 - k**3\/3 + k**2\/2 + 2*k. Let y be -3 + -3 + -3 + 10. Determine r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((38\/(-95))\/(((-44)\/4)\/(-55)))\/(2\/25).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum -136600 and 552.\nAnswer: -136048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -445 + 442.43. Let q = 2.5559 + m. What is q rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -o**5 + 91*o**3 - 2*o - 2147 wrt o.\nAnswer: -20*o**3 + 546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 138243\/4 + -35451. Let r = -904 - y. Find the common denominator of r and 89\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 2*l - l - 1)*(-17217 + 17217 + 88*l)*(-4 + l + 4) as b*l**3 + a + h*l + m*l**2 and give m.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/11)\/(64\/(-88))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-16)\/6*(-225)\/100. Suppose -r*m + 27 = -15*m. Let l(y) = y**2 + 4*y - 1. What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 5*y = -10, -2*k = 2*y - 6 + 2. Suppose k = -5*d + 15 - 40. Let x be (-92)\/115*d\/2. Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 102 in 3, 36.9, 4?\nAnswer: 36.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.8 + -1. Let o be 4\/(-34) - (-18632)\/1156. Which is greater: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 5) + 10 + -3 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 47031 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 15032.14126+-1\nAnswer: 15031.14126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4267 >= 217588\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 293645 + 91048 - 1121 = 133*j. Is j at most 2881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -104 and 20.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -3*c**2. Let a(w) = w + 37. Give r(a(t)).\nAnswer: -3*t**2 - 222*t - 4107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -h**2*z**3 + 133*h**2 - 132*h*z + 2*h with respect to z.\nAnswer: -3*h**2*z**2 - 132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 10731.06179 to zero decimal places.\nAnswer: 10731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 524*y = 525*y + 38, 0 = v + 2*y - 4. Let j = -22 + 6. Is j greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3890578603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 312 and 576264.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12.9 + 11.9. Let s = 12\/19 - 53\/114. What is the nearest to q in s, 7\/2, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 5200060.21 rounded to the nearest one thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - ((26 - 14) + 8 + (-136 - 9)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 28*g**2 + 12*g - 26. Is 21 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.4 from -15588.\nAnswer: -15587.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3\/2 + -5\/4. Let b = 137 - 136. Which is bigger: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 249 + -247. Which is smaller: 20 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**2 + 13*m - 58. Let c be x(3). Calculate the least common multiple of (-18 - c) + (-170)\/(-2) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 439, 467, 497, 529, 563?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -354972342*k - 335917434 wrt k.\nAnswer: -354972342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.95 + 0.05. Let b = -29097 - -174583\/6. What is the closest to 2\/5 in m, 2\/25, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 0.2 (c) -1\/22 (d) -79 (e) -3 (f) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -120*q - 571*q + 174*q. Solve q = -9*y + 11*y - 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*f + 3 - 3 + (4 + 3 - 6)*(3*f - 4*f - 3*f) + (1 + 4 - 6)*(-2*f + 2*f + 2*f) - 5*f + 2*f + f to m*f + b and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(931) + (sqrt(931) - -2*6*sqrt(931)) + sqrt(931) - (sqrt(931) + -4 + sqrt(931))*-1)*1)**2.\nAnswer: -2856*sqrt(19) + 807225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6052358622 to the power of 1\/2, to the nearest integer?\nAnswer: 77797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2304011 is divided by 36000?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.7, 4, -1\/5, 1\/7 in decreasing order.\nAnswer: 4, 1\/7, -1\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - 2 - 1) + -13 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2 - 12*v - 34. Let j(b) = -1472*b - 3. Determine j(p(y)).\nAnswer: 1472*y**2 + 17664*y + 50045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -3*r - 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - 4*l**2 + 2*l - 4. Suppose -37 = -3*r + 4*z - 6*z, 2*z + 40 = 4*r. Suppose 6*y + p - r = 4*y, -3*p = -15. Determine c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, i: 7}. What is prob of picking 2 i?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -7*l + 7. Let s(j) = 7*j - 6. Let t(f) = -7*k(f) - 6*s(f). Is 8 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3597, -13951, -30947, -54375, -84025?\n\"Answer: 35*d**3 - 3531*d**2 - 6*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 8) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -7955 divided by 18\nAnswer: -7955\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.299 and -4.\nAnswer: 5.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -z**2 - 21*z + 6*z**2 - 2*z**2 - 26*z.\nAnswer: 3*z**2 - 47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 2*c**2 + c + 83. What is the tens digit of i(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1701 + -1544. Calculate the remainder when 469 is divided by k.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54056 (base 8) in base 11?\nAnswer: 15a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = -2*w + 3*b - 7, 3*w - 5 = -b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8208, -8337, -8552, -8853?\nAnswer: -9240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 25*-2.0103\nAnswer: -50.2575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 10 = -126. Suppose 0 = -2*s - x + 71. Solve 1 - s = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 40 and 1510.\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*y = -78 + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 24 = 2*u, -7*u = -5*z - 2*u. Let m = 769.4 + -769. What is the biggest value in -4, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 - 1 = v. Suppose -t + v = 4. Let b = t + -3. Calculate the least common multiple of 16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 260225416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 1095890*t - 10958897. What is d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -9*l**3 - 11*l**2 + 11*l. Let d(h) = -2*h**3 - 2*h**2 + 2*h. Let p = 180 + -202. Determine p*d(x) + 4*z(x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 11251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.93 + 4.97. Let v = l - 5.886. Let a = v - 0.114. Round a to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -48726, -195135, -439224, -780993, -1220442, -1757571?\nAnswer: -2392380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**3 - p**2 + 3*p. Let x be k(-3). Let r be ((-4)\/6)\/(6\/x). Let y = -10\/13 + 43\/39. Is y at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 4 - 3 + 0 + y**2. Let x be s(1). Suppose x*v - 6*v - 13600 = 0. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of -g**5\/75 - 38*g**4\/15 - 2888*g**3\/15 + 20*g**2 + 59*g. Let b(v) be the first derivative of j(v). Let b(u) = 0. Calculate u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 147*a + 27 = 156*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(147) - sqrt(3))*2 + 5 + 5 + -3 + sqrt(432) + (1 + sqrt(3))*-6)**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 112577, 225158, 337741, 450326, 562913, 675502?\nAnswer: 788093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(132) + -1*sqrt(132))*-5 + sqrt(132) + sqrt(132))\/(2*(sqrt(275)*4 + sqrt(275)) + sqrt(275)).\nAnswer: 24*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1750 and 239650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3088673041 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 + 24*n**2 - 28*n - 52. Let g be r(24). Which is the biggest value? (a) 3 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**(-17))\/(c**(1\/13)*c))\/(c**7\/c**(-2\/21)))**(-46) assuming c is positive.\nAnswer: c**(303554\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -140624347, -281248695, -421873043, -562497391, -703121739, -843746087?\n\"Answer: -140624348*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 201 = -2*l + 4*a + 607, -4*l - 3*a = -746. What is the remainder when 3237 is divided by l?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 5*o**2 - 360*o + 6. Determine q(72).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 10) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 - 2 - -1 - 0. Let k be -1*i\/(-3)*-3. Let d = -95 - -91. Which is the nearest to k? (a) 3\/2 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(11) + 1 - (sqrt(11) + sqrt(11) + -1 + -4)) + -5.\nAnswer: -4*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 616*t**2 - 228*t + 4 wrt t?\nAnswer: 1232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2*m**3 - 3*m**2 - 4*m + 5. Let s be u(3). Solve 0 = k - 5*k + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f = 15, -5*n = -4*f - 185 + 262 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 197aec (base 15) in base 3?\nAnswer: 2100001110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 51*t**3 + 66687*t**2 + t - 49596842.\nAnswer: 306*t + 133374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add 20119 and -0.454.\nAnswer: 20118.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 49*c - 538 - 197. Solve -c = 15*f - 105 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*o, -2*t = 3*o - 5*o - 1944. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + (47 - 32) + 1 + 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1, 0.1, -2.9, -0.2, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3967626 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14.4 + -13. Let z = -3.4 + f. Let w = -4.06 + 0.06. Put z, w, -0.2 in decreasing order.\nAnswer: -0.2, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -862595*g**2*v + 63*g*v - 698*g + v + 2 wrt g.\nAnswer: -1725190*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 29*m - 106. Let o be j(18). Calculate the highest common factor of 32 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3302289 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 182 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31, 185, 449, 829, 1331, 1961?\nAnswer: 2725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q**3 + 0*q**3 - 4 - q**2 - 2*q**4 + 2 + 0*q**4 in the form w + t*q**2 + i*q**3 + z*q**4 + f*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 665102731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*i*p**3 - 6*i*p + 62*i + 4196029*p**2 - 562364 wrt p?\nAnswer: -6*i*p**2 - 6*i + 8392058*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -w**3 + 9*w**2 + 146*w wrt w.\nAnswer: -6*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.110796 in -16, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*k = -9 + 42 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 223 + -114. Let m = n + -89. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 488 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2013475166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 202*d**2 + 70*d - d**4 - 103*d**2 - 2*d**3 - 3 + 2 - 100*d**2 to v*d**4 + n + b*d**2 + h*d**3 + a*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*v + 7 = -10*v. Let a be 51\/21 - 3\/v. Suppose -5*g - 4*o = -300, a*o = 2*g - 3*o - 87. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -93 + 99. Does 42 divide 255\/1 - 4\/(8\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(-18) - (-52)\/24. Suppose 4*w + 5*y - 1 = 0, -2*w - 2*y - i = -4. Solve -2*f = -w*a - 0*f + 26, -4*a + 3*f = -31 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/1)\/(18\/378)*4\/(-36).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15 and 57.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 44 (base 5) in base 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the third derivative of 11*i**5\/60 + i**4\/6 - i**3\/2 + 14*i**2. Let s be x(-3). What is the highest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 1 = l, -4*i = 3*l - 209. Calculate the remainder when 102 is divided by i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -74008\/259077 - 2\/37011. What is the closest to -2 in o, 5, 113?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4.05 + -0.05. Let g = s - 4. What is the nearest to 0 in 0.4, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 13544914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:52 AM and 5:50 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1888 and 5?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/6 - 2\/4. Suppose -3*r + 1 + 122 = 3*w, 2*r = 4*w + 76. Suppose -4*i = -t - r, -t - 2*t = q. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2863804.\nAnswer: 2, 47, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*(-2 - -2)\/(-3). Suppose -9 = 25*s - 28*s. Let c(j) = -7 - 5 + s + j. What is c(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*t + 4*t - 2*t)*(-4*t + 6*t + 11*t).\nAnswer: 182*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 17, o: 2}. Give prob of picking 2 o and 2 v.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 8308185673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 + 6)*(-5)\/(-3). Let a = t - 6. Calculate the remainder when 7 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 728574 and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 219 + -147. Let z = y - 38. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 125\/66 and 101\/114570.\nAnswer: 1260270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16629587.\nAnswer: 13, 17, 47, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 10358591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -i**2 - 49*i - 95.\nAnswer: -2*i - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by (-2)\/5 - 736\/(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12 - 10. Suppose 10*a = 8*a + h. Suppose -m = -3*o + 1 + a, -2*o = -4. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -20 by -195.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/4 - 2\/(-8). Suppose i*f = -2*f + 194. Suppose -k + f - 20 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2d94b (base 14) to base 5\nAnswer: 12124320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g + 4, 0 = 11*t - 6*g + 5*g - 24215. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 34037392 and 93602828?\nAnswer: 374411312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -7*k - 30. Let s be (-8)\/k*55\/22. Find the third derivative of s*j**4 - 13*j**2 + 5*j**4 - 2*j**4 wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + (-3 + (sqrt(3) - sqrt(12)\/sqrt(4)))**2 - (sqrt(6)\/(sqrt(2)*-4) - sqrt(3) - sqrt(3)).\nAnswer: 13*sqrt(3)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*l**3 - 601*l**2 - 22650*l - 5625.\nAnswer: -(l + 75)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b**(-4\/17)\/b)\/b*b**(-32)*b)\/(b**(-43))**50)**(-14\/5) assuming b is positive.\nAnswer: b**(-504028\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 10249 = 40*f + 10809 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1009.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1035428 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -aa6 - 2?\nAnswer: -aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 + 17*u**2 + 20*u + 68. Let p be f(-16). Suppose -t + p = o, 3*o + 13*t - 11 = 11*t. Solve 0 = -8*i + o*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -495815, -495820, -495829, -495842, -495859, -495880, -495905?\nAnswer: -495934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-792)\/(-176))\/(18\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 111\/2820790 and 62\/177.\nAnswer: 8462370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14859267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:32 AM and 7:15 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 4*f - 371539, -5*k = -0*k - 25. Suppose -11*n + f = 8*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 34 = 10*m - 13*m, -4*z - 23 = m. Put -4, 2, z, 345 in decreasing order.\nAnswer: 345, 2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18000295267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, l: 2, o: 6, n: 3, a: 2}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(1\/26))\/(f*f**(2\/25)*f) assuming f is positive.\nAnswer: f**(-677\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -552 + 590 - (1 + 33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -926*f + 11 + 2309*f + 1707*f - 11.\nAnswer: 3090*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 879*a**2 - 103719*a - 334. Calculate x(118).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 54861495, 54861510, 54861525, 54861540, 54861555, 54861570?\nAnswer: 54861585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -210 = -30*p + 37*p. Sort 3, -8, p in increasing order.\nAnswer: p, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6015 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 10094*y - 5956. What are the prime factors of h(7)?\nAnswer: 2, 11, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -442798\/11 - -40226. Is -27 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of j**4 - 20*j**3 - 379*j**2 + 8*j - 432753?\nAnswer: 4*j**3 - 60*j**2 - 758*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2935108.\nAnswer: 2, 11, 41, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/((-6)\/(-4)))\/((442260\/117)\/(-126))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + 0. Suppose q**2 + q - 2*q - 2*q**s + 2*q = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - x + 27. Let l(o) = -o**2. Let z(r) = -2*r**2 + 8*r + 12. Let m(f) = -3*l(f) + z(f). Let t be m(-6). List the prime factors of i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1908241 divided by 12.\nAnswer: 1908241\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8*t**2 - 9*t**4 + 4*t - t**2 - 4*t wrt t?\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -287\/10 - -144653\/5040. Let t(c) be the third derivative of 0 + 0*c**3 + 0*c**4 + 0*c + 1\/630*c**7 + v*c**8 + 0*c**5 - 8*c**2 + 0*c**6. Factor t(m).\nAnswer: m**4*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the second derivative of 2*u**4\/3 + 17*u**3\/6 - 19*u. What is the second derivative of o(y) wrt y?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((25 - 3) + 0)\/(-1). Let t = r - -26. Suppose 3*h + 13 = u, -t*u = -h + 22 - 63. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-54)\/(-30) + (-8)\/10. Sort 5, -2, g.\nAnswer: -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 315.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2570*m + 2570*m + 205*m**2 to s*m + v + z*m**2 and give z.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152)\/(sqrt(24)\/sqrt(3) + sqrt(8)) - (sqrt(76) - 2*sqrt(76)))**2.\nAnswer: 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 112 and 4676?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/30 and -68\/201?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -q + 4278*q**4 - 74552437*q**2 + 74552437*q**2 - 4139 wrt q?\nAnswer: 51336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13, -91, -303, -715, -1393, -2403, -3811?\nAnswer: -5683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 3*a + 2*a + o, 0 = a - 2*o - 12. Suppose 16 = -2*y + a*y. Suppose -5 + 23 = 3*v - 5*f, 4*f = -4*v - y. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33 + -11. Find the second derivative of -a*b + 7*b**2 - 12*b**2 - b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 18 = 7. Suppose -3*z = 3*v - 27, f*v + 5*z - 46 = z. Let o be ((-3)\/(-18) - v\/36)*2. Put 0.1, 2\/3, o, 0 in descending order.\nAnswer: 2\/3, 0.1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 112 (b) -2 (c) -211\/6 (d) -4 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20345214 to the nearest integer?\nAnswer: 4511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 9 + 14*p**2 - 30 + 17 + 10*p.\nAnswer: 2*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aamj when four letters picked without replacement from baambbjamam.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, -37, -57, -77, -97?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 20, -3*i = -5*p + 2*p - 117. Suppose a - k - i = 0, 3*a = -k + 12 + 97. What is the lowest common multiple of a and 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -3*u**2. Let n(b) = -298*b + 2. Calculate n(d(j)).\nAnswer: 894*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4088.83 and -1.\nAnswer: 4088.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.139179 litres to millilitres.\nAnswer: 2139.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 200*l**2 + 3917*l + 8783. Give s(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11890 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 13*f - 2. Let y(b) = -19*b + 3. Suppose -623*t = -620*t - 15. Give t*y(i) + 7*j(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -1. Let i be (-3)\/(w\/(-1)) - 0. Suppose -4*x + 3*s = -28, 0 = -4*x + 2*s + 14 + 14. Is i at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3034979392 to the power of 1\/2, to the nearest integer?\nAnswer: 55091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {q: 12, r: 6}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(((sqrt(1377) + -2 + 2*sqrt(1377))**2 + -2)*6 + -1 + (sqrt(1377) + -1)**2*-3 + 3).\nAnswer: -2970*sqrt(17) + 351190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1365 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 421, -5, -4, -1\/4, 0.2, 4\/9 in descending order.\nAnswer: 421, 4\/9, 0.2, -1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 629.215 decades?\nAnswer: 75505.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -20? (a) -2\/1295 (b) 1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4*z + 3482 = 0, 3*o - 1881 = 4*z + 3292. List the prime factors of o.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3392837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*s - 18 = -8*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(((sqrt(2736) + 1)*4 + sqrt(2736)*-2*2)**2 + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2842 - 2842.03. Which is the second biggest value? (a) -1\/7 (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4454 * 5\nAnswer: 22270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as -3807\/19531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t**5 - 4*t**4 - 6*t**3 + 4*t**2 + 5*t = 0. Calculate t.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -3652 + 3674. What is the highest common divisor of z and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -j**3*w**3 - 8*j**3*w - 2*j**3 - 144*j**2 with respect to w.\nAnswer: -3*j**3*w**2 - 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -96, -95, -94, -93, -92, -91?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 + -4.8. Let m = -3.8 - v. Let n = 13\/28 - 93\/140. What is the second smallest value in m, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -2*w**2 - 7832192*w - 7667903940608 = 0.\nAnswer: -1958048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 24 + (-18368)\/768 - (-937)\/(-12)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the third derivative of m**5\/20 - m**4\/8 - m**3\/3 + 2*m**2. Is s(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71518?\nAnswer: 2, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -6641*g**2 + 43*g. Let p(x) = -45*x**2. Determine y(p(v)).\nAnswer: -13448025*v**4 - 1935*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 21265654 by 13.\nAnswer: 21265654\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + t**2)*(12 - 10 + 12459*t - 12588*t).\nAnswer: -129*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 819089551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.3104944 centuries?\nAnswer: 372.59328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 202 and 40501.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1552.0689167 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2429\/13 - -187. Put 0.2, a, 3 in decreasing order.\nAnswer: 3, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4775 - 6355 = -15*n. What is the greatest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 3 - 1)*(-6 - 12*z + 11*z - 41).\nAnswer: 2*z + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(12\/(-4))*(-1736)\/(-124).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + -2. Let q = -4.014 + 0.014. What is the closest to 0.1 in v, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002473393632 rounded to seven dps?\nAnswer: -0.0002473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 418 and 64296.\nAnswer: 707256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 55913959 to the nearest integer?\nAnswer: 7478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -20 + 20 - 107*b**3 + 2*b**4 + (-5*b + b**3 + 5*b)*(-1 + 1 - b) + (b - 5*b + 2*b)*(2*b - 2*b - 2*b)*(3*b**2 + b**2 - 3*b**2).\nAnswer: 5*b**4 - 107*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -347.7 + 45.7. Let c = m + 302.5. What is the closest to -0.5 in -4, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 11. Solve 2*o + h*z - 22 = -2, 2*z = 4*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11819.8 - 9729. Round i to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.4 + -1.8. Put -16\/7, y, 0 in ascending order.\nAnswer: -16\/7, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*10\/315)\/(4\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 + m + 4 - 3 - 3*m. Let h be (-3)\/(1 - -2) - (3 + -5). Let f be s(h). Which is smaller: f or 6\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**6)\/(a*a\/(a\/(a**(-2)\/a)))*(a**0*a*a)\/a**(-6))**21 assuming a is positive.\nAnswer: a**357","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 - -13. Suppose w = 3*o - o. Factor o*m + 4*m**3 - 12*m**4 - 7 - 8 - 7*m**5 + 13 + 14*m**2.\nAnswer: -(m - 1)*(m + 1)**3*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - -2 - (0 - -4). Let q = 5 + s. Suppose 46 = q*j - 2*l, 2*j - 5*l + 11 = 3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1997736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 3 (c) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of 3*z**5\/5 + 19*z**4\/4 - 6*z**2 + 7. Find the second derivative of m(y) wrt y.\nAnswer: 36*y**2 + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -2, -1, -12, 4 in descending order.\nAnswer: 4, -1, -2, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + (4 - 23) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 61846.71 centuries?\nAnswer: 74216052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 834569 + -464328. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of 3*j**8\/56 - 4*j**7\/21 + j**6\/15 + 87*j**2 - 2. Factor t(o).\nAnswer: 2*o**3*(o - 2)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 - 12*r**2 + 24. Let l be j(12). Suppose -2*y + 16 = 3*i + 2*i, 5*i - l = 2*y. Suppose -4*k = -5*k + 6. Solve -i*s = -s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 11 - -63?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 PM and 4:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**3 + 46*n**2 + 505*n + 14. Give a(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 581*o**3 - 205*o**3 + 265*o**3.\nAnswer: 641*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -93*u**2 + 44*u**2 + 0*u + 5*u - 346 wrt u.\nAnswer: -98*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -6220191*y**3 - 11853*y - 11853. Let k(v) = 2624*v**3 + 5*v + 5. Determine 11853*k(n) + 5*q(n).\nAnswer: 1317*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that g**5 + 126*g**4 + 1845*g**3 - 10940*g**2 - 26916*g - 14256 = 0.\nAnswer: -108, -22, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 15034230 + 501?\nAnswer: 15035131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 - 16*l - 156. Let x be z(23). Suppose x*j - 225 = -5*t, -7*t + 4*t + 123 = -j. Solve -4*w - 38 = -t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 15*u**2 + 4*u - 62. Let m(h) = -7*h**2 - 2*h + 29. Let g(v) = -13*m(v) - 6*y(v). Let r(t) = -t**3 + 4*t**2 + 4*t. Let j be r(5). Calculate g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 214316 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**3 + 3*s**3 - 2*s**3)*((-s + s + s)*(4 - 1 - 2) + s - 2*s + 3*s).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, 36, 2082.\nAnswer: -25, 36, 2082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 34753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-20)\/(-30) + (-7)\/(-3). Solve -l*d + 8 = -x - x, -5*x - 5*d = -30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/(-5) + 2\/5. Let x(i) = -2*i - 3. Let d(s) be the second derivative of 0 + 5\/3*s**3 + 8*s**2 + 4*s. Give j*d(y) + 11*x(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*d**4 - 3*d**4 - d**4)*((-6 + 6 + 2*d)*(0 - 3 + 4) - d + 5*d - d).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3113*y + 16 = -3109*y - 5*m, y + 3*m + 13 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1239*w - 1228*w + 297 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 160 + -350. Let l = x - -189.999889. Round l to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3009122 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 10*r**2 + 41*r - 46. Calculate b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -318 + 359.2. Let w = j - 42. Let b = w - -0.799993. Round b to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 7, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -2*h. Let i(n) = -3*n - 8*n + 5*n - 2*n. Give i(f(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of 2*v**2 - 2\/3*v**3 + 4 + 0*v. Calculate u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 10*z - 165 = 0. Suppose -5 = -4*k + z. Suppose -q = -2*n + 78, q + 221 = 5*n + k*q. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/4 (b) -2702 (c) 4.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert cc227 (base 16) to base 13.\nAnswer: 233771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 534, 532, 526, 516, 502, 484?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1508 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (7 - 8)*-19*-61. Let p = n + 1687. Is 44 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1238282?\nAnswer: 2, 41, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 - y**2 - y. Let a(t) = -5*t - 6*t**2 - 1530*t**3 - 3*t + 2*t**2 + 1531*t**3 + t**2. Give a(v) - 3*m(v).\nAnswer: -2*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26637\/8050 + 1\/1725. Calculate the common denominator of m and (-9)\/6 + 5830\/825.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -49651650 smaller than -49651650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 + 71*t - 27 + 38*t)*(3*t + 0*t + 0*t).\nAnswer: 327*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 - 13. Let z(h) = h**3 - 7*h**2 + 7*h - 7. Suppose 5*l = -3*i + 36, 5*l = 4*i + 26 - 4. Let p be z(l). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102 + 2101110122200?\nAnswer: 2101110200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 + -4 - ((-33 - -9) + 8)) + (378 - 258).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 2, -5, 41467, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 67*o**5 + 3260*o**4 + 8*o**3 + 142*o**2 - 115950*o wrt o?\nAnswer: 4020*o**2 + 78240*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1559\/2 - -795. Let j = -1095\/4 + 276. What is the common denominator of j and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (620\/(-50))\/(22\/(-5) - -4). Suppose -l - 623490 = -m*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 122703 from 0.07.\nAnswer: -122702.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -24*k**3 - 7*k**2 + 4*k + 3. Let l be g(-5). Suppose -9*v + 0*v = -l. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 400 and 77269870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -39567\/7, -1, 1\/11, 0.2, 1, 3\/4?\nAnswer: -39567\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*u - 9*u + 4*u - 2*u + 3 - 3 + (0 + 0 + 2*u)*(-3 - 1 + 3) + 0*u - 3*u + 4*u)*(-u + u**4 + u).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -18, -0.5, 3\/4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*v**4 + 13*v**3 + 633*v**2 + 267183 wrt v?\nAnswer: 8*v**3 + 39*v**2 + 1266*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 2 = -m, -4*m + 7 = 46*q - 45*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaattaaaaattt. Give prob of picking 1 t and 3 a.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (30 - 7 + 1)*(2*w + w + 0*w + (-2 - 3 + 6)*(4*w + 0*w - 2*w))*(-1 + 2*w + 1) to k*w**2 + z + x*w and give k.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 0.1 (c) 109 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 0 + (-1*(1 + 3 + sqrt(68) + -5))**2 + -5)*1.\nAnswer: -4*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (-7 + 14 - (1 - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r**2 + 2*r - r**2 - 2*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 - 38*w - 37. Let q = 32 + 7. Let m be y(q). Solve -5*c - 3 - m = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 52 = -4*z, y - 3*z = -z + 10. Suppose -2*n + 24 = r - 5*n, -4*n = 4*r - y. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 11*v**3 + 169*v**2 + 57*v + 6. Calculate w(-15).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/89017 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -497897*d**4 + 3*d**3 - 30*d**2 + 36*d + 25?\nAnswer: -11949528*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 20548 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4081849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8140, -20873, -55436, -122743, -233708, -399245, -630268?\nAnswer: -937691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1425, -359, 691, 1725, 2743, 3745?\nAnswer: 4731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -5482, -10963, -16442, -21919, -27394?\n\"Answer: g**2 - 5484*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3*(58\/3 - -1). Suppose -18*t = -25*t - 14. Suppose 0 = -45*v + 44*v - 1. Sort -5, t, j, v in ascending order.\nAnswer: j, -5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 28 + 40 = 0. Sort -1, -4, u in decreasing order.\nAnswer: u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2069201 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -7*c + 1. Let z be x(-1). Suppose 25*r = 29*r - z. Suppose r*t + t - 87 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**3 - 11*a**2 + 5*a + 17. Let o be d(-11). Let p = 40 + o. Suppose -11*x + 10*x = -p. Which is bigger: 4 or x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 - 16*s**2 + 13*s + 22. Let w be l(15). Let k be 0 + 3 + -10 + 4 + 10. Let m = w + k. Is 6 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88572, 88563, 88542, 88503, 88440, 88347?\nAnswer: 88218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -89507\/7 - -12787. Factor 8\/7*y**2 - m*y - 6\/7.\nAnswer: 2*(y - 1)*(4*y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 PM and 12:49 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -4*k**4 + 4*k**3 + 1372*k**2 - 4*k - 1368 = 0.\nAnswer: -18, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 65938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/149390759 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 + 3. Let r(v) = -v**2 - 4. Let a(x) = 3*r(x) + 4*y(x). Let u(q) be the first derivative of 23*q**3\/3 + 5. What is u(a(g))?\nAnswer: 23*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -92\/135 and 18\/42 + (-3484)\/3360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 505 = 3*f. Suppose -2*v + 4*v = -p + 17, 5*p + 2*v = f. Suppose -4*m = h - p, h + 3*m - m = 11. Which is smaller: -3\/7 or h?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-10)\/(-3) - 1\/3. Let k be (w\/(-7))\/(9\/6). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(847) - (sqrt(847) + 0))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 557, 1794, 3019, 4226, 5409, 6562?\nAnswer: 7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -2 and 387986.\nAnswer: 387984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**3 - 2*k**2 + 2*k + 2. Let r be v(2). Let f(x) = -x - 2. Let i be f(-8). List the prime factors of r\/(-18) + 14\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -5*w**3 + 1200*w**2 + 14940*w + 45360 = 0.\nAnswer: -6, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87*d + 697*d - 784*d + 3892*d**2.\nAnswer: 3892*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = 37*q - 35*q - 16, -3*q = -5*j + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 25453932 and 1764?\nAnswer: 76361796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (10 - 3 - 10 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -5*f**3 + 3*f + 8. Let v(c) = 11*c**3 - 7*c - 17. Let k(j) = 13*l(j) + 6*v(j). Let i be k(-2). Suppose d = 8 - i. Is d less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 130 - 174. Let i = 49 + j. Are 5 and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -297 - v - 3*v**3 + 2*v**3 + 520 - 1744 + 3*v to the form s*v**3 + x + n*v + z*v**2 and give x.\nAnswer: -1521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z**5\/9 - 128*z**4\/9 - 212*z**3 - 7120*z**2\/9 - 9038*z\/9 - 1232\/3 = 0. What is z?\nAnswer: -8, -3, -1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 31557 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3029 + 33 = 511*g - 1026 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 410*c**5 - 202*c**2 - 31337*c wrt c.\nAnswer: 8200*c**3 - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 9a2 (base 13) to base 4.\nAnswer: 121311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 554677738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 15373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25829.\nAnswer: 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -31095*d - 2112 = -30831*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 - j - 5. Let c(q) = 1. Suppose 4 = 3*r + 1. Calculate r*b(z) + 4*c(z).\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*q + 21*q + 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**2 + 14*b - 95. Let c be v(5). Suppose c = 6*t - 6549 - 56805. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(2\/19)\/l)\/(l*l*l**22*l) assuming l is positive.\nAnswer: l**(-492\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.64 times 3619\nAnswer: 2316.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1806967985?\nAnswer: 5, 673, 536989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4921 - -10098. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is fc7 + -1b?\nAnswer: fac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 5*f**2 + 25. Let o be m(-4). Solve 17*u = -o - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 522809 and 5305.4?\nAnswer: 517503.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 393130395 divided by -18720495.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -112, -541, -1298, -2395, -3844, -5657, -7846?\nAnswer: -10423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -130202033212 (base 4) to base 8.\nAnswer: -34421746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -167010 minus -0.3?\nAnswer: -167009.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, g: 2, z: 1, m: 1, w: 2, k: 1}. Give prob of picking 1 h and 2 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 5*o - 157 = -3*k, -37 = -k + o. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 15045.\nAnswer: 165495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 736 - 153. Suppose -5*t - 1 = 4*r - 9, -4 = 3*t - 2*r. Suppose -5*h + b = j, -3*h + 2*j + 342 = -t*j. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1661.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/28*(19 + 897\/(-52)). What is the closest to 1 in -0.102, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -5*(sqrt(119) - 1*sqrt(119))\/sqrt(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c**2. Let l(i) = -49*i + 35. Let x(o) = 9*o - 7. Let j(n) = -2*l(n) - 11*x(n). What is j(q(a))?\nAnswer: 2*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 22 + -14. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 816044 and 7212776.\nAnswer: 223596056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8364, -13373, -18372, -23361?\nAnswer: -28340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -708, 5, -46, -3, 4 in ascending order.\nAnswer: -708, -46, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 2200 = -2*b + 1385, 4*b = -4*l + 4776. Let y be l\/18 - (-1)\/(-2). Suppose -2*d - y = -5*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-8)*(5 + -1). Suppose 0 = -2*m + 10, m + 0 = 2*y - h. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10 + -213?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 16 - 34064\/32*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11546741 to the power of 1\/2, to the nearest integer?\nAnswer: 3398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 704 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + (-18)\/4)*(-2 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > 5\/4268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(0 - (-4)\/48). Let z(s) = 15*s**3 + 2*s - 1. Let u be z(1). Let b = u - 4. What is the highest common factor of b and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3468 or -3469?\nAnswer: -3468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1620 and 996840?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/4)\/(-5*6\/2775*10\/4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -9977333\/7 less than -1425334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 135 = 2*x. What is the remainder when 107 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 682411777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 2*y**5 - 808*y**4 - 40222*y**3 - 524172*y**2 - 2657160*y - 4698000 = 0.\nAnswer: -29, -6, -5, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - 17*l + 61. Let x be v(-19). Solve -x = 2*k - 3*n - 6, -k + 5*n = 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((6 - 3 - 1)*(-4 + 4 - 2) - 1 - 1 + 4 + 3 + 13 - 13)*(h**4 - h**4 - h**4).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 255726, 255728, 255732, 255738, 255746, 255756?\nAnswer: 255768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2282 divided by -163?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -3*i**2. Let l(r) be the second derivative of r**3\/2 + 13*r. Determine l(a(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 935 and 825?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 + 9. Suppose -2*u - 5*j = -1, -u + 4*j = -z - 4. Let n(i) = i. Let f(q) = -10*q + 5. Let g(o) = u*n(o) + f(o). Let c(t) = t - 1. Give 5*c(l) + g(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1762*h**2*m**4 - 48*h**2*m**3 + 1865*h**2 + 116 with respect to m.\nAnswer: 7048*h**2*m**3 - 144*h**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 34 (base 14) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 259085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -2 + -4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzg when three letters picked without replacement from zzuzgzgqlgvz?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {x: 1, i: 1, g: 1, b: 2, a: 2, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -103 + 460?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 7424612 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 93 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 270258319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 386*r*y + 268*r wrt y.\nAnswer: 386*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 1\/2, -10\/3569, 5?\nAnswer: -10\/3569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 372488, 372490, 372492, 372494, 372496?\n\"Answer: 2*m + 372486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 314 and 6062712.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 528*p - 2639. What is s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(38) - sqrt(3800)*-2) + sqrt(38) - sqrt(38))\/sqrt(2).\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 - (34\/(-10) + 10\/25). Suppose 0 = f*v - 610 - 755. List the prime factors of v.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -8*w**2 + 8*w + 37. Determine r(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4656678 and 60?\nAnswer: 46566780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -3*u - 50, -6*z + 135 = -z - 5*u. Solve i + 30 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - bee?\nAnswer: -be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**3 - 2*u**2 - u + 58. Let g(o) = -o**2. Calculate -d(p) + 2*g(p).\nAnswer: -p**3 + p - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/(-6) + (-11)\/2 - 203. Let t = d - -325. Is t not equal to 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -87 by -8778.\nAnswer: 29\/2926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 310002426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 56 = 3*p. Suppose 2*q = -2*g + 28, -3*g = -2*g - 5*q + p. Suppose 85 = g*s - 4*s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37*0.4.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1256 = -7*w + 305. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -773, -6033, -20283, -48023, -93753, -161973, -257183?\n\"Answer: -750*y**3 + 5*y**2 - 25*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1139606, 1139154, 1138714, 1138292, 1137894, 1137526, 1137194?\nAnswer: 1136904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*v + 65. Let a = 22 + v. Suppose 2*h - 397 = -u, 0 = 5*h - a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 20 = 0, -3*c - q + 20 = -2*q. Let j be 4\/(-18) - (-824)\/144. Is j at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 7:07 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/58*4\/2. What is the nearest to 0 in l, 0.2, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*m**5 + 4679*m**4 - 24*m**3 + 385221*m**2.\nAnswer: -300*m**2 + 112296*m - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 888772323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*s + 3*c = 6*s - 34, -3*s + 1178606*c = 1178611*c + 36 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(-4 + 1 + 1). Suppose 0 = -p*a + 4*l - 9*l + 9, -2*l + 10 = 4*a. Let m = 1 + a. Solve -4 + 10 = -m*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255287 is divided by 63815.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8564574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 4 + 2024*u - 694*u.\nAnswer: 1330*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 209 a factor of 367004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000253797813 rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 25*n**2 - 5. Let r be i(-5). Let d = -1831\/3 + r. Calculate the common denominator of d and 1\/3 + (-29)\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v**3 - 151*v**2 - 774*v - 272. Calculate j(-70).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1146*v - 3 - 573*v + 3 - 574*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 228\/95*(11 - (-966)\/(-56)) + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(-2\/51)*k**(1\/4)\/k*k*k)**29)**(-31))**(-2\/25) assuming k is positive.\nAnswer: k**(222053\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 107*n**4 + 244.\nAnswer: 428*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 496 - 54. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 - 21 + 4*n**5 - 5*n**5 - n + 2*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 277852.9 millilitres?\nAnswer: 277.8529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the second derivative of -111*x**4\/2 - 5*x**3\/6 + 23*x**2\/2 + 2*x + 58. What is the second derivative of t(r) wrt r?\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**2 + 3*h + 5. Let f be p(4). Is 2 + ((-3)\/f - -7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 310 divided by -25\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2*2\/4)\/(708\/(-47436)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -88 + 85 + -51 - -75.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h**3 - 9*h**2 + 19*h + 19. Let w be r(-6). Solve -w = 21*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-11)\/y*y*(y\/y**(5\/4))\/y)\/(y**10*y*(y\/y**3)\/y*y) assuming y is positive.\nAnswer: y**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**2 + 461*c - 131354. Determine p(199).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/4 (c) -16 (d) -0.5 (e) -29 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((2\/(-4))\/((-60)\/288))\/(-2))\/(39\/75).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 469766895 divided by 13\nAnswer: 36135915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (706 - 712) + 122 + 11?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -49.6411 - -49.5. Round z to three decimal places.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 + 11*k**2 + 10*k + 15. Let f be m(-10). Let r = -11 + f. Suppose 0*j + 22 = 2*j. Solve 2*c - 23 = -4*i + i, 0 = -r*c + i + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 3*h**5\/5 + 14*h**4\/5 - 7*h**3 - 46*h**2 - 208*h\/5 + 96\/5 = 0.\nAnswer: -4, -3, -2, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 + 9. Calculate the common denominator of 380\/14*105\/60 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -9*w**3 - 6*w**2 - 4. Let h(a) = 10*a**3 + 3*a**2 - 12*a - 4. Let b(c) = c**3 - 2*c - 1. Let u(k) = 6*b(k) - h(k). Give 2*l(s) - 5*u(s).\nAnswer: 2*s**3 + 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*l + 36*l = 1020 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(245) + 0))**2 - (1 + sqrt(245))*-6.\nAnswer: 42*sqrt(5) + 3926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 5*z**3 - z**2 + 2. Let m(u) = -6*u**3 + u**2 - 2. Let n be 37\/7 + 4\/(-14). Suppose -24 = -h + 5*v, -3*h - 3*v + 8*v + 32 = 0. Give h*m(d) + n*p(d).\nAnswer: d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b**(-3\/8)\/b)*b**(1\/8)\/b)**19 assuming b is positive.\nAnswer: b**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 44028701 != 44028703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {n: 7, o: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3019, -3018, -3017, -3016?\nAnswer: -3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 2*r = -0*r - 14, -4*r = -p - 12. Suppose 9*u - p*u - 5 = 0. Suppose 0 = -2*b - g + 6, -u*b + 2*g + 45 = -3*g. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-69)\/(-9) - 8\/12. Suppose 3*m = -n + 19, 13 = 3*g + m. Solve g*o = w - 11, -3*w = -2*o + w + 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1753967\/131 - 13389. Is 0 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 2*o - 5*z, 5*o - 21 = z + 18. Suppose -4*l - 12 = -o*l. Let t(b) = -b + 1 + l*b - 1. Let s(y) = 2*y**2. What is s(t(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2))**(-20)\/((n\/n**(-7))\/n**(-2))*((n*n**(-1\/3))**8)**(-47) assuming n is positive.\nAnswer: n**(-662\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 6\/2 + 4107\/(-999)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -42, -0.2, 1\/4 in descending order.\nAnswer: 1\/4, -0.2, -8, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 4, -2094, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-826)\/(-154))\/(-3 + -4*1) and -8\/77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -7132563*k**2. Let p(h) = -h. What is p(d(i))?\nAnswer: 7132563*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 118, 229, 340, 451?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8 + -23?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 14) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 235, 150, 11, -182, -429?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 194*a**3 + 8 - 393*a**3 + 200*a**3 - 2*a**2 + 53 to the form g*a**3 + h*a + c*a**2 + q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 3:44 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 12446539 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 2*p - 70 + 66 = 0, -5*m - p + 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 236 + 100 = -42*u. What are the prime factors of (-12)\/u*(-1910)\/(-3)?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -5*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 9 = 7*x, 546798*x - 23 + 5 = 546797*x + 4*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) -2 (c) -3 (d) -0.3 (e) -7\/80\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -937537 by -3.\nAnswer: 937537\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -740, -727, -712, -695?\n\"Answer: x**2 + 10*x - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.2 + -0.3. Let b = -96975.9 + 96976. Sort -29, x, b in ascending order.\nAnswer: -29, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 4 + (-5 + 3 + 4)*(0 - 1 + 2) - 3 + 4 - 3 + (-2 + 2 + 2)*(-2 - 2 + 3) - 3 + 4 - 3)*(-7 - 1 + 3)*(-100*x**3 - 13*x**5 + 100*x**3).\nAnswer: -325*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1534 + 590?\nAnswer: 590.1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.447843644 to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**3 + 12*w**2 - 3*w + 2. Let u be m(12). Let d be (-6)\/15 - u\/10. Solve -d*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3484, -11516, -24074, -41158?\nAnswer: -62768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*s + 8*s + 10*s + 5*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 19*t**2 - 1 + 1. Let s(c) be the second derivative of 13 + 19*c + 0*c**2 + 1\/6*c**4 + 0*c**3. Determine s(z(o)).\nAnswer: 722*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - (-2 - -12))*-1. Let k = v + -18. Let z(g) = g**3 + 10*g**2 + 7*g - 11. What is the units digit of z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19126867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 288 + -285. Suppose -a - 11 = -4*y, 4*y = 5*a - d*a + 10. Calculate the remainder when 1 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1579 - -5511. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 4*w - 3. Let r = 17 - 7. Is b(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(1300) + (1*sqrt(1300))**2 + (-1*sqrt(117))\/sqrt(9)).\nAnswer: -1300 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hxr when three letters picked without replacement from {h: 2, x: 6, b: 3, j: 4, r: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be 35\/(3 - -2) - -5. Solve 11*w = 8*w + y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 534 - 444. Let g(m) = m**3 + 3*m**2 - 2*m + 2. Let t be g(-4). Let r be ((-10)\/(-3))\/((-2)\/t). What is the greatest common divisor of u and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2 from -3.049.\nAnswer: -1.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 4*h + 5, -h - 9 = -3*n - 1. Suppose -3*u + n*l = -225, 274 = 5*u - l - 117. What are the prime factors of u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627.12943 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3503134 is divided by 67?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 + 7*k + 11. Let t(f) = f**3 - 7*f**2 + 2*f - 4. What is the lowest common multiple of n(8) and t(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the second derivative of -1\/12*h**4 + 0*h**2 + 1\/6*h**3 + 0 + 1\/30*h**6 - 1\/20*h**5 + 3*h. Find a, given that o(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23778 (base 12) in base 16?\nAnswer: -ba8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -10521\/9946?\nAnswer: -10521\/9946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 2*o**3 + 115*o**4 - o + o**3 - 2*o**3 - 114*o**4 to u*o**2 + y + f*o**3 + m*o + v*o**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -192 + 108. Let b be ((-742)\/x + -9)\/((-3)\/(-4)). What is the third smallest value in -4, 0.4, b, 0.65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of 8\/9*n**3 + 75 + 2\/45*n**5 + 2*n**2 + 5\/18*n**4 + 0*n + 1\/360*n**6. Let w(s) = 0. Calculate s.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 339 and 18.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the third derivative of -d**4\/8 - 21*d**2 - 34*d. Let s(r) = -512*r. What is s(k(v))?\nAnswer: 1536*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-2*sqrt(2299) + sqrt(19)) + sqrt(114)\/(sqrt(6) - 1*sqrt(6)*6).\nAnswer: 104*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-30) - (-4*265\/1050 - -2)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nxvn when four letters picked without replacement from {v: 1, x: 6, n: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (1 - 2) - -33 - (271 - 264).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 135064925.\nAnswer: 5, 5402597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -312 = 5*t - 64*l + 77, 5*t + 0*l = -4*l + 17 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 21, 15, -13, -69, -159, -289?\n\"Answer: -b**3 - 5*b**2 + 16*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 19*f**2 + 3*f + 2. What is the remainder when o(-2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 4*m + 5*q, 4*m - 58 = -2*q - 10. Suppose -4 = -t + m. Let y be (2\/(-21))\/(6\/t). Which is the closest to y? (a) 2 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * -3.11.\nAnswer: 0.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 1)*(-1 + 1 - h) + 2 - 2*h - 2 + 2 - h - 2 + (-84*h - 11 + 196*h - 95*h)*(-1 - 3 + 2).\nAnswer: -38*h + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -6\/17 (b) 5 (c) -0.5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g\/(g**2\/g)*g\/(g**(-6)*g)*((g*g**(-5)\/g)\/g)\/((g\/(g**(-2\/7)\/g))\/g)*(g*g**(2\/3)*(g\/g**(-2\/17)*g)\/g*g)**6 assuming g is positive.\nAnswer: g**(2668\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 PM and 4:59 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8603268 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -38 - 13 + 2 + 3*x**2 - 2*x**2 as n*x + f + h*x**2 and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + r + 102, -r = -3*k + 85 - 23. Calculate the smallest common multiple of 36 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n + 16 = 9*n. Let d(h) = h**3 - 8*h**2 - 2*h + 16. Let t be d(n). Suppose t = -v + 7*v - 192. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.11 less than -194972?\nAnswer: -194971.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of -9*h**5\/5 - 2*h**2 + 14. What is the second derivative of k(j) wrt j?\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.5619 + -3048.5619. Let g = x - -2176. Let l = 871.99999367 + g. What is l rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1292986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184*p - 6222661 + 706157 = 0. List the prime factors of p.\nAnswer: 7, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - -110000010001110000000?\nAnswer: 110000010001110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l - 4*l + 3*l)*(4*l**3 - 4*l**3 - 3*l**4) - 3*l**5 + 3*l**5 + 2*l**5.\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*f - 14*f = 3*u - 13, 0 = -2*f - 5*u - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r - 2*r - 2*r)*(-5 - 3 + 5) + 3*r - 15*r + 2 - 148*r + 2*r - 4*r + 0*r.\nAnswer: -156*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 PM and 3:51 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of 0*r - 3\/2*r**3 + 1\/12*r**4 + r**2 + 0. List the prime factors of l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (14\/8)\/(3\/36). Suppose 2*y = 5*y - l. What is the least common multiple of y and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -83*m + 45*m - 44*m - 117*m + (-m + 2*m - 2*m)*(-6 - 61 - 39) as o*m + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -433 - -370084.27551\nAnswer: 369651.27551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2765)\/46221 - 0 - 6\/(-93). Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 75 + -44. Let p = -30.996 + f. Let d = -0.0040007 + p. Round d to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 + 8*t**2 - 2*t - 5. Let r be n(-8). Suppose -r*h = -14*h. Solve 0*o + 6*o - 24 = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -221100 (base 3) to base 4\nAnswer: -22230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 967 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 9*g**2. Let r(w) be the first derivative of 9*w**2\/2 - 36. Calculate r(q(l)).\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - w + 1 + (2 + 1 - 1)*(-357*w + 2549 - 2549) + 2*w - 2*w + w - 2*w - 1 + 1.\nAnswer: -716*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 11*u**2 - 13*u - 13. Let h(f) = 4*f**2 - 4*f**2 - 8*f**2 + 5*f**2 + 3*f + 3. Calculate -26*h(a) - 6*j(a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**3 - 771*u**2 - 9723*u + 10491.\nAnswer: 3*(u - 269)*(u - 1)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 + 37\/6. Let p = 0.1 + -0.1. What is the closest to p in 1\/5, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -10*(4*(-2)\/(-36))\/((-65)\/(-117))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -46571 - -46583. Suppose 8 + 744 = 4*d. What is the remainder when d is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -831, -3 in decreasing order.\nAnswer: -3, -4, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -8*y + 289. Give u(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/5, 2.3, -10, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 26\/(-5)*(-65)\/26. Let h = s - 14. Let w be ((-15)\/10)\/(h\/(-2)). Let m(d) = d**3 + 2*d**2 - 4*d - 1. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 144 and 16.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/6*(-2 + -1). Suppose -5*g - 99 = -4*h + 141, g = -4. Suppose -45*m = -h*m + 40. Solve -3*c = -5*i - 20, m*i + 0*i = -k*c + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 137603544 divided by 694.\nAnswer: 198276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 292869445 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*k**2 + k**2 + k**2)*(-3 - 3 + 5)*((-4*k + 7*k + 2*k)*(2 + 3 - 3) - 2 - 2*k + 2 - 1 + 2*k + 1) as o*k**2 + i*k + r + s*k**3 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/8*((-354)\/3 - -2). Suppose 0 = -12*x + 2 + n. Solve -x*a - 50 + 45 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*m = 3*p - 7, -3*m + 1556 = -2*p + 1548 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + (-88)\/20 - -4. Is 7 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**3 - 9*w**2 + 11*w + 15. Let d be q(6). Let y = d - -34. Suppose 23*o - 80624 = y*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 396283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lbljww. What is prob of picking 1 b and 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*d - 288 = 13*d. What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**2 + 9*f + 6. Let g be h(9). Calculate the highest common factor of g and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 1 = -2, -5*r - 4*d = -416. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(-1\/31))\/k*k)\/k**(1\/3))**10 assuming k is positive.\nAnswer: k**(590\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -13*m**3 - m + 2*m**2 - m**2 + 12*m**3. Let w be (0 + 2\/4)\/((-3)\/6). Let r(v) = -2*v**3 - v**2 - 3*v - 1. Determine w*r(b) + 3*g(b).\nAnswer: -b**3 + 4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mh when two letters picked without replacement from {w: 1, h: 1, z: 1, p: 4, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10753 is divided by 3584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1321*p = 1308*p + 845. Let v be 13*10\/4*6. Calculate the highest common divisor of p and v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 265 = -54*r + 59*r. Let d = r + -160\/3. Sort 3, 1\/4, -6, d in descending order.\nAnswer: 3, 1\/4, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**3 - 6*n**2 - 5*n + 3. Let m be t(-5). Suppose 2\/7*s**2 + 0 - 2\/7*s + 2\/7*s**m - 2\/7*s**4 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 4*w**2 + 8*w + 3. List the prime factors of x(12).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*v + 96*v - 64*v - 10*v - 12*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 393 = 106*z - 1402 + 205 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 6*s**3 - 5*s**2. Let q(m) = 3*m**3 - 2*m**2. Calculate -3*c(d) + 5*q(d).\nAnswer: -3*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/(-6))\/(1\/3). Let m(p) = -5*p**3 + p**2 - p. Let w be m(1). What is the units digit of (v - w)\/(1\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 982427 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2 - 0.7. Let i be ((-1)\/2)\/((-2)\/(-72)). Let q be 2\/4 + (-3)\/i. Sort -4, q, c.\nAnswer: -4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10.1 - 108.1. Let c = 109.2 + l. What is c rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -20*d**2*l**3 + 3*d**2*l**2 - 2*d*l**3 - 2*d + 9*l wrt d?\nAnswer: -40*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-4\/7))\/u)\/(u*u**(1\/4))*(u*u**0*u)**(3\/20) assuming u is positive.\nAnswer: u**(-53\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-5)*(-7)\/28?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 4 = 4. Suppose k = -0 + 4, 0 = -4*l - f*k + 72. Suppose l*z + 156 = 18*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 + 9*h**2 + 4. Let b be l(-9). Which is greater: b or 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -745457, -1490916, -2236375, -2981834?\nAnswer: -3727293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10\/(-55) + (-150)\/22. Let x be 2\/r - 258\/(-21). Calculate the highest common factor of 36 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*g - g + 2*g)*(-4 + 7 + 11)*(4*g - 2*g + g) as x + p*g**2 + i*g and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 43, 69, 97?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/1918 and -25\/126.\nAnswer: 17262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 8327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**2\/7 + 196300*n\/7 - 22352208\/7 = 0 for n.\nAnswer: 114, 98036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 19*i**3 - i**2 - 3*i - 2. Let h be 3 + 0\/((-20)\/(-5)). Suppose 6*l = h*l + 2*x + 13, -8 = 4*x. Is n(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = 2*s - 17, -12*r = -9*r + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/(-28) + 6\/(-4). Let q = -271\/126 - g. Let b = -3 - -3. Are q and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 8*g**2 - 5*g + 5. Let n(v) = -2*v**2 + 138*v - 282*v + 145*v - 1. What is -9*n(q) - 2*w(q)?\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a9 + -788a2?\nAnswer: -789a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*r + 880*r = -1298*r + 8776 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -2*o - 3*u + 222, 302 = 4*o + 2*u. Let g = -65 + o. Let q(j) = -g*j + 10*j + 3*j. Let a(p) = p**3 - 2*p - 2. Give a(x) + 2*q(x).\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -6. Suppose -21 = -3*y + 2*r - 4*r, 13 = 2*y + r. Let l = y - h. Solve 0*t = t - l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 64 and 60244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 152*r - 49*r - 55*r - 58*r + 11 - 12.\nAnswer: -10*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3668 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 736 + 3*m + 249 - m**2 - 277 + 1110 + 0*m.\nAnswer: -m**2 + 3*m + 1818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13 and 2444?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10057016?\nAnswer: 2, 79, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 PM and 4:53 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 30570701 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 465361.013 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(128) + 4 + 2)*-2.\nAnswer: -12 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 9) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 + 24*g + 40. Suppose 1957 = 1387*z - 1490*z. Determine j(z).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 816 - 721. Suppose 4 + r = -11*z. Suppose 5*i = 2*i + 6. Sort -3, z, 0, i in increasing order.\nAnswer: z, -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.307, -2\/5, -22?\nAnswer: 0.307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00612568025 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.4109649 millennia?\nAnswer: 4931.5788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9559 and 1340867.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 - 5*c**2 + 12*c - 6. Let l be r(3). Solve 2*i = -2*i - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3144 times 0.03\nAnswer: 0.009432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (-2 - 3) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -540628, -15, 4 in decreasing order.\nAnswer: 4, -15, -540628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -192*b**3*n**2 + b**3*n*y + 2*b**2*n**2*y + 72*b*n*y wrt n.\nAnswer: -384*b**3 + 4*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.06 (b) 3\/5 (c) 16\/159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve g = 3*o - 6*o + 1, 4*o + 2*g = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 17, 242, 939, 2378, 4829, 8562, 13847, 20954?\n\"Answer: 45*u**3 - 34*u**2 + 12*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*k**2\/3 + 26*k\/3 - 2.\nAnswer: -2*(k - 1)*(10*k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*c**5 + 116*c**4 + 76*c**3 - 484*c**2 + 196*c + 80 = 0. What is c?\nAnswer: -5, -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3005524965 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1))**(-1\/19)*((f**(2\/3)\/f)\/f*f)**(-3\/16) assuming f is positive.\nAnswer: f**(35\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 20 = -0*f. Let b = 14.6 - 14.435. Let w = -0.365 + b. Sort f, -2, 2, w in decreasing order.\nAnswer: 2, w, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4, 3, 6, -10 in ascending order.\nAnswer: -10, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x + 3. Let l be f(9). Factor -2*h + 0*h - h**3 + 0*h + 9*h**2 - l*h**2.\nAnswer: -h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-288)\/320*50\/(-60).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*o + 6 = 21*o. Let q be 38\/(-57)*o\/(-8). Let y = -0.1 + 0.6. Put y, 4, q in increasing order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 447 + 183 = 511*j - 574*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 29.45406 and 266.\nAnswer: 7834.77996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -133\/180 and 11\/184.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*h + 23*h - 132*h.\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 5*n**2 + 10*n**2 - 4*n**2 - n**2. Let a(o) = 2*o. Determine z(a(s)).\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*a + 13 = u - 32*a, -u + 25 = -4*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 37950*m**2. Let f(q) = 3*q. What is f(n(g))?\nAnswer: 113850*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - -2) + (23 - 16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3343, -3409, -3475, -3541?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 6653.8339 + 2.\nAnswer: 6655.8339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -60 - -60. Let s = i - 2. Is s\/10 - (-855)\/(-25)*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of 0*a + 2 + 56\/3*a**3 - 1\/30*a**5 + 1\/12*a**4 + 10*a**2. What is x in b(x) = 0?\nAnswer: -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -9*z + 24. Let v be ((-44)\/(-132))\/(z\/6). Which is the smallest value? (a) 0 (b) -5\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 4 - 22. Let n be (-1)\/(3\/o*2). Solve 0 + 9 = -n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6548?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2764 + -2759. Let h(o) be the first derivative of o**4 - 8 - 2*o - 4\/3*o**6 + 16\/3*o**3 - 14\/5*o**i + 2*o**2. Determine p, given that h(p) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 = -7*b + 3*j + 15, -5*j = -b + 9 + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of 29*w**2\/2 - 346*w + 373. Let t be u(12). Factor 0 + 3*r**2 + t*r**3 + 1\/3*r**4 + 4\/3*r.\nAnswer: r*(r + 1)**2*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eeeeeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1697, 3445, 5187, 6923, 8653, 10377, 12095?\nAnswer: 13807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2372413, -2372417, -2372421, -2372425, -2372429?\nAnswer: -2372433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/27*-6)\/(2*132\/4).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 5*o = 15, 91*f = 84*f - o + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 37 - 33. Let o = -2 + 4. Suppose 2*j = 4, b - j - o*j + y = 0. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (506\/92)\/(2\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 9*j**3 - 13*j**3 + j + j + 3*j**3 - j**2. Determine p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 628*q - 536*q - 1532*q = 943*q + 140597 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -1120324 (base 6) to base 8.\nAnswer: -157474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 28931453 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-8 - (-20 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 1\/5 (b) -1 (c) -0.3 (d) 206.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - -2)\/(1\/22 + 0). Let q be -4 + 84\/k + 8. Let z(r) = r**3 + 5*r**2 - 6*r - 1. Let f be z(-6). Sort f, q, 4 in decreasing order.\nAnswer: 4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1890, 1889, 1888?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (2400\/(-2200))\/(6\/132)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 781633 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u + 12078 = -33*u. Let j = u - -3855\/7. Suppose 6\/7 - 3\/7*t**5 + j*t**3 + 0*t**4 - 6\/7*t**2 - 9\/7*t = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 590\/6 - (16\/6)\/(-4). Let x(p) = -p**2 + p + 9. Suppose l = 2*l. Let k be x(l). What is the highest common factor of k and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 3*k - 1 - 1 + 5. Let g(w) = 1. Let i(b) = a(b) + 3*g(b). Calculate the remainder when i(7) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 192*b**2*m**3*p + 4*b**2*p - 31*b*m**3*p + 3*b*m*p - 2*b*p - m**3 wrt b?\nAnswer: 384*m**3*p + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of -568*w**5\/5 - w**2 - 331*w - 2806. Find the second derivative of r(x) wrt x.\nAnswer: -6816*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -117059*0.4\nAnswer: -46823.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -3*l**2 + 2764 + 2*l**2 - 2764. Let o(u) = 5*u**2 - 6*u. Let f(k) = k**2 - k. Let m(c) = 30*f(c) - 5*o(c). Give m(t(x)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (0 + 6\/(-8))*(-444)\/(-1665)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -3*g**2 + 9*g - 5. Let y(m) = 16*m**2 - 45*m + 26. Let s(b) = 2*y(b) + 11*z(b). Determine s(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (45 - 35) + 231\/(-32) and -77\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17540*v = 17537*v - 24 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 73533 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -2. Let t be 2\/(-9) + (-4)\/63. Does t = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 187, 2, -150, 1 in descending order.\nAnswer: 187, 2, 1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5, 1, -7, -19, -35, -55?\n\"Answer: -2*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 117070 - 4?\nAnswer: 117068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2807 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 + 22*p**2 - 108*p - 52. Let z be l(14). Let j(c) = -18*c + 74. Determine j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 223 + -234. Let j(o) = o**2 - 19*o - 62. What is the remainder when j(r) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 276 and 4.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + -103?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6787877*y**3 - 1201175*y**2 - 4*y.\nAnswer: 40727262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -5*x**3 - 5153*x**2 + 8*x - 95. Let v(l) = l**3 - 2*l**2 - l - 1. Let i(h) = p(h) + 6*v(h). Find the second derivative of i(n) wrt n.\nAnswer: 6*n - 10330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2421?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 12*w**3 + 100*w**2 + 72*w - 60. Let m(d) = d**3 + 2*d**2 - d - 4. Let a(o) = -44*m(o) + 2*y(o). Factor a(u).\nAnswer: -4*(u - 7)*(u + 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 146.03 + -146. Which is the closest to 1? (a) i (b) 0 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*u**3 - u**3 + 3*u**4 + 3*u**3)*(-1 + 2 + 4) to the form y*u**4 + d + l*u**3 + o*u + n*u**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4438791523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 7:11 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of f*m**2*w + 11*f*m**2 + 35*f*m*w + 19*f*w - 2*m**2*w - 46*m**2 wrt m.\nAnswer: 2*f*w + 22*f - 4*w - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -213695, -213663, -213613, -213545?\n\"Answer: 9*z**2 + 5*z - 213709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 6*m**2 - 3*m - 15. Let i = 101 + -100. Suppose x = 3*t + t - i, -2*t = -x - 3. Let f be d(x). Calculate the highest common factor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 5*t + 188 = -2*o, 0 = -5*o - 3*t - 432. What is the common denominator of 38\/3 and (-1618)\/o + 72\/126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 - 14. Give j(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 - 4*t + 2. Let g be j(2). Let x be (-44)\/12*6\/g. Suppose -x + 122 = k + 5*c, c - 3 = 0. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of h**5\/20 + 5*h**4\/6 - h**3\/6 - 3*h**2 - 3*h. Let i be u(-10). Differentiate 2 + c**i - 12*c**3 + 12*c**3 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2119 + -959. Let c = p - -3078.00001799. Round c to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 8:34 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 + 180*j**2 + 4619*j + 9. What is q(-149)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86 divided by -6.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1111 - -1112. Is z > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 - (-4 + 13) - (-1 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 81558, 81736, 82208, 83118, 84610?\n\"Answer: 24*f**3 + 3*f**2 + f + 81530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 56395*o = 5*q + 56394*o + 13, 0 = -4*q + 3*o - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2240)\/sqrt(7) + -4*sqrt(20))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5095\/6 + 866. Calculate the common denominator of 2 - (-3)\/5*-17 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:32 AM and 2:12 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2858991055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 9) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1121 - -1122. Which is bigger: h or 1\/1279?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/3, -3\/8, 72, 2\/3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2492 - 2486)\/(2\/(-21))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the first derivative of -2*s**5\/5 + 13*s**4\/2 + 38*s**3 - 149*s**2 + 160*s - 260. Factor f(r).\nAnswer: -2*(r - 16)*(r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 581883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 142919921?\nAnswer: 142919921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeexexeee. Give prob of sequence xe.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 457, 1853, 4423, 8407, 14045, 21577, 31243, 43283?\n\"Answer: 40*b**3 + 347*b**2 + 75*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -53*s - 39*s + 10*s - 1 + 0*s**3 - 2*s**2 + 14*s + 2*s**3 in the form z*s**2 + b + d*s + i*s**3 and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(1700) + 2 - sqrt(1700) - (sqrt(1700) - (2 + sqrt(1700) + sqrt(1700) + -1)))**2*-6 + -2.\nAnswer: -10298 - 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2\/17)\/b**(-1\/12))\/(b**(-8\/9)\/b**(-27)) assuming b is positive.\nAnswer: b**(-16001\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - 21*r - 31*r + 117*r - 35*r - 23*r - 7*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 + -8. Let b(u) = -u**2 - 2*u - 2. Let h(p) = 3*p**2 + 7*p + 7. Let x = 611 - 625. Let r(f) = a*h(f) + x*b(f). Let q(w) = -4*w. Calculate q(r(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.194, 11, -28, -2\/45, 2 in increasing order.\nAnswer: -28, -0.194, -2\/45, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + 4 = 0, 4*x - 5*a - 3 = -2*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1749641 and -3.\nAnswer: -5248923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3248 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 8:53 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -1434*m. Let o(b) = -b**2. What is o(f(j))?\nAnswer: -2056356*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4476762557\/192548815 - -313\/684010. Let p be 4 - 4\/(27024\/27027). Let w = j + p. Calculate the common denominator of 73\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 - 12*q - 26. Let p be i(-9). Let h(o) = 271*o**2 + 2*o - 3. Let t be h(p). Suppose 5*g - 8*g = -t. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 4*n + t, 2 + 6 = -n - 3*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*i - 11 + 496 = -95 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 9436 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/54530 and -139\/786030?\nAnswer: 32227230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 77493 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 3*v**2. Let s(j) be the third derivative of 29*j**4\/24 + j**3\/2 + j**2 + 81*j. Calculate k(s(w)).\nAnswer: 2523*w**2 + 522*w + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - l + 42, -34*l + 36*l + 123 = 5*u. Solve u*b + j = 20*b, 2*b - 5*j = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/(q*q**(2\/7))*q*q**(-1\/7)\/q)**33 assuming q is positive.\nAnswer: q**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -0.154 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/x**(-3\/10))*x**(3\/4))**(3\/4)*((x*x*((x*x**8)\/x*x)\/x)\/(x\/x**(-3\/4)))\/(x**9*x**(3\/5)*x) assuming x is positive.\nAnswer: x**(-161\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 - 4. Suppose -k*w + 5*w = 0. Suppose w*u + 257 = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + -9. Let z be (((-110)\/25)\/(-11))\/(4\/10). Let f = -0.31 + -0.09. What is the third biggest value in y, z, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15880 + -15726. What is the remainder when 229 is divided by g?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3093)\/(-6) + (171\/18 - 10). Calculate the greatest common factor of g and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 8*j**5\/7 - 26*j**4\/7 - 6*j**3 + 76*j**2\/7 - 16*j\/7 = 0.\nAnswer: -2, 0, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 42*r - 8600 = -45*r. What is the remainder when 267 is divided by r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6434 or 13\/10?\nAnswer: 6434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -103.5 - -99.5. What is the closest to 1.1 in -5, z, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 - 13*c + 18. Let m be b(12). Suppose 4*x - 5*s - 21 = 0, -4*s + 3 - 26 = 3*x. Let l = m + x. Solve 10 = -a + i, a - l = -a - 3*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -30 - -29. Let t(p) = -2*p**3 + 2*p**2 - 1. Let j be t(-1). Put j, s, 0 in ascending order.\nAnswer: s, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10*1\/5*(-88)\/(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -1346000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 - -13. Suppose -u - 13 = -4*k, 4*k - 19 = -0*k - u. Suppose -18 + 4 = -k*m + g, 5*m = 2*g + 19. Calculate the remainder when y is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 766\/11 less than or equal to 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -629 and 0.009?\nAnswer: -5.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -508 plus 23?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*-4)\/(2994\/(-2495)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 0.8430057 minutes?\nAnswer: 50.580342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 9.43931 kilometers?\nAnswer: 943931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -4 at least -35803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-10) - (-6)\/270. What is the closest to 2 in i, 2\/15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (22*z + 13*z - 1779*z**2 + 1773*z**2)*(1 + z - 1).\nAnswer: -6*z**3 + 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/773587 and -12\/2899.\nAnswer: 10056631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 + q + 10. Let f be l(4). What is the closest to f in 4\/5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 6) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-9)\/(d**(-4\/9)*d))**9 assuming d is positive.\nAnswer: d**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11332223 + 1?\nAnswer: 11332230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -21*n**3*t**2 + 171*n**3 - 2*t**2 wrt t.\nAnswer: -42*n**3*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*p - 9. Let z = p - 0. Let g be 4 - ((-392)\/12)\/(-7). What is the nearest to g in -4, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {k: 1, n: 2, j: 1, h: 1, i: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -11*v**3 - 3*v**2 + 3*v. Let x(f) = 17*f - 122. Let u be x(7). Let p(z) = 10*z**3 + 2*z**2 - 2*z. Determine u*p(l) - 2*a(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(77) + sqrt(77) + 3*sqrt(77) + sqrt(77) + sqrt(77))\/sqrt(7) - (sqrt(99) + 2))**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 583.6688s to microseconds.\nAnswer: 583668800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 3*q = -2*z - 90, 5*z - q = -150. Let j be (8\/6 - (-10)\/z)*4. Solve 0 = 2*v - 0 + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -34 - 11. Let v be ((-2)\/6)\/((-3)\/p). Suppose -v*y + 4*y + 17 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -21, -32, -39, -36, -17, 24?\n\"Answer: l**3 - 4*l**2 - 6*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21247.\nAnswer: 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 391280 by 40.\nAnswer: 9782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 67206*f**2*y**3 + f**2*y**2 + 57*f*y**3 + 83*f*y**2 wrt f?\nAnswer: 134412*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t. Suppose 0 = 16*a - 17*a, 5*q - a = 5. Let n(o) = 2*o + 7. Calculate q*n(v) + 4*j(v).\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -26 + 128053623?\nAnswer: 128053586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 3 (b) 0.5 (c) 0.2 (d) 3\/88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -c + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 448 - 422. Let y(i) = 2*i**2 - 42*i + 41. List the prime factors of y(t).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from osss. Give prob of sequence os.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 60 + -52. Let o(y) = -j - y**3 + 5*y + 4 + 2. Determine o(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 4*i = 15, -2*i + 32 = 2*k. Suppose k*d - 5*d - 12 = 0. Find b, given that -4*b**2 + 6*b**2 + 3*b**d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 232.6227mg?\nAnswer: 232622700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 PM and 11:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 13\/(-2) - 1\/(-2). Let y = -5015\/2 - -2346. Let m = y - -155. Is m greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 744147 - 0?\nAnswer: 744147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 472487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**16*((u*u*u**(-2\/13))\/u)\/u assuming u is positive.\nAnswer: u**(206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -9*c**2 - 13*c**2 - c**3 + 27*c**2 in the form o*c**3 + l + h*c + z*c**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of 0 + 2\/3*p**3 + 0*p**2 + p. Let z(v) = -4*v**2 + 5*v**2 - 3*v**2. What is n(z(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*n + 239*n**2 - 18*n + 7*n - 56*n**2 + 9*n - 147*n**2.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 42631, 42629, 42627?\n\"Answer: -2*n + 42633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 256\/(-375) + -27*48\/(-1944). Let q be ((-16)\/264)\/((-1)\/(-3)). Which is the closest to -0.1? (a) -1\/2 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151117 <= 151118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 1 - (5 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2892 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, -2, 0.1, 4574, 3, -5 in increasing order.\nAnswer: -5, -2, -1\/5, 0.1, 3, 4574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -10017072, -10017080, -10017088, -10017096, -10017104, -10017112?\n\"Answer: -8*k - 10017064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 1, j: 5, u: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 44 + -30. Let m(d) = -43*d**3 + q*d**3 + 20*d**3 + 10. Let t(r) = -13*r**3 + 15. What is 7*m(o) - 5*t(o)?\nAnswer: 2*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -2999*(8\/(-2) - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 + -15.022. Let z = l - -2.362. Round z to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 23, 46, 89, 158, 259, 398, 581, 814?\n\"Answer: w**3 + 4*w**2 + 4*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 842*n**3 + 7*n. Let s(d) = -421*d**3 - 4*d. Give -4*g(p) - 7*s(p).\nAnswer: -421*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 269770228 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of q**4\/4 + 13*q**3\/3 - 8*q**2 - 3*q + 26. Let h be y(-12). Let n = -178 + h. What are the prime factors of n?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -34036296 and -10814.\nAnswer: -34047110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3438 - 3438 - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -31.9 + 31.4. Which is the fourth biggest value? (a) 4 (b) v (c) 2\/9 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32411969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/7)\/((-372)\/42 + 6).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 12*-56.664\nAnswer: -679.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -6 + (-13)\/(-6) + (-5)\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5088371304 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 2*y + 4. Let v be z(-3). Suppose -m = -h + 5, -3*m - 10 = h + v. Suppose -3*s - 8 = 1. Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -5*c - 1. Suppose -c*k + 0*k - 35400 = 0. Round k to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 25*b - 822. Let c(k) = 17*k - 514. Let u(d) = 8*c(d) - 5*q(d). Let r(w) = 4*w**2. Calculate r(u(a)).\nAnswer: 484*a**2 - 176*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 + 28*a + 14. Let k(z) = 7*z + 2. Let s(w) = -5*k(w) + y(w). Suppose -3*o + 3*i = 15, -18 = -5*o - i - 67. Calculate s(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 13118*i**3 + 32*i + 4209627 wrt i?\nAnswer: 39354*i**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -5834, -11944, -18056, -24170, -30286?\n\"Answer: -d**2 - 6107*d + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1954*k + 1980*k - 52 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 3*k = 15. Suppose -5*n + n + 14 = -p, -n + 13 = -k*p. Let q(v) = -3*v**2 - v + 2. Determine q(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 167704833?\nAnswer: 3, 457, 122323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of p**5\/110 - 4*p**4\/33 - 3*p**3\/11 - 14*p + 15. Let r(o) be the first derivative of a(o). Factor r(b).\nAnswer: 2*b*(b - 9)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/200784 and -13\/2.\nAnswer: 200784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (1 + -1*(sqrt(78)\/(sqrt(12)\/sqrt(2)) + sqrt(13) + -1*sqrt(13) + -5))*3)**2.\nAnswer: -120*sqrt(13) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -5.31*3\nAnswer: -15.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 252\/(-7)*3\/3. Let o = l + 102. Calculate the common denominator of 1\/(o\/76)*405\/180 and 93\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 1 + 2)*((2 - 6 + 3)*(l - l + l) + 7*l - 46*l + 7*l).\nAnswer: 132*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*j, -5*j = -5*f + 2444 + 6746. Calculate the remainder when f is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -55 + 83. Solve 5*a + 8 = 5*z + k, 2*a = -4*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 6:21 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 61798 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 141 divide 1198641141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 6*v + 9 = 0. Let c be (1 - 1)*(-1 + 0). Solve c*x = v*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, 0, -0.02, -41 in decreasing order.\nAnswer: 1, 0, -0.02, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13094 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 less than -2.54909?\nAnswer: -3.04909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 163 a factor of 13521903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/8 + 1704839*a\/8 - 852419\/4.\nAnswer: -(a - 1704838)*(a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 901*m**2 + 50*m - 4*m**3 - 891*m**2 + 2*m + 2*m**3 to the form l*m**3 + c*m + y + i*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -23\/2 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*0.405643.\nAnswer: -1.622572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 213 divide 41748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/(((-45)\/(-114))\/5). Let i be ((-2)\/(-4))\/(2\/76). What is the greatest common factor of i and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -2*k**2 + 9712*k - 58200 = 0.\nAnswer: 6, 4850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t**4\/8 + 2449*t**3\/8 + 200386*t**2 + 15681610*t + 112784400 = 0. What is t?\nAnswer: -1180, -81, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 108, 268, 536, 912, 1396, 1988?\n\"Answer: 54*q**2 - 2*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 71.49968m to centimeters.\nAnswer: 7149.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1953077 is divided by 452?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37, -118, -363, -746, -1315, -2118, -3203, -4618?\nAnswer: -6411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*a**3*p + a**3 + 3*a**2*p - 7*a**2 + 12631*a*p wrt a?\nAnswer: 96*a*p + 6*a + 6*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 53*m + 116. Let a be s(-18). Let o = -830 - a. Solve 5*j - o*j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1037\/4 bigger than -1301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -60 - 15 = -15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*l**4 + 2*l**3 - 2*l**3)*(0*l - l + 3*l + (-2 + 0 + 0)*(0*l + 4*l - 5*l) + 4*l + 6 - 6).\nAnswer: 40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37, 43, 63, 103, 169, 267, 403?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20227 or 20221?\nAnswer: 20221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -68*a**2 - 77*a**2 - 1125 + 1123 - 133*a**3 - 15*a**3 wrt a?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**3 - 4*m**2 + 5*m - 4. Let c be k(4). Solve -10*u = -2*u + c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 4*w**2 - 12*w + 47. What is the remainder when t(6) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 2\/17, -5, -11, -4, 19\/4, -1.6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/2 - (-36)\/(-16). Let j = 134.8 - 135.8. What is the smallest value in j, 1.1, m, -1\/12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1\/912 - -2165\/912. Let v be ((-20)\/12)\/(1\/(-3)). What is the common denominator of w and (v\/275)\/(4\/830)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-35)\/(-14) + -3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*r**2 - 2*r - 6*r**2 - 3*r + 6*r**2 to d + l*r**2 + v*r and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from jqjqqqqqqqqqqfqqfqx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 21, 1\/7, 2\/37, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 3 x when four letters picked without replacement from xvrvddxxovv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 19 (b) -1\/2 (c) 6 (d) -2 (e) 69\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1654817*-0.3.\nAnswer: 496445.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 3.086 and -0.021.\nAnswer: 3.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 0, -2*g + 3*f = 2*f - 30. Suppose 3*c = -0*c + 5*h + 4, -6 = -c - 3*h. What is the greatest common factor of g and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2792 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -q**3 + q**3 + 2*q**5 + (-2 + 2 + q**3)*(15*q**2 + 5*q**2 + 5*q**2) - 5*q**3 + 2*q**5 + 5*q**3 - 5*q**5 + 0*q**5 + 2*q**5.\nAnswer: 26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 194185290?\nAnswer: 2, 3, 5, 13, 311, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from sznnsnzswsswzsz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m, 1 b, and 1 a when four letters picked without replacement from ammmuymkkkybkuk.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26*k**3 - 39*k**3 + 72*k**3 - 10*k)*(4 + k - 4) + 3*k**4 - 2*k**4 + k**4.\nAnswer: 9*k**4 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = 4*j + 5*l, 0*j - 28 = 4*j + 3*l. Let x(p) = 0 + 1 + 5*p - 3. Let h(g) = 6*g - 3. Calculate j*x(b) + 3*h(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*c**2 + 75*c**4 + 10*c**5 - 5*c**2 - 75*c**4 wrt c?\nAnswer: 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/948 and 3\/20.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53, 279, 831, 1603?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -2\/9, -1, -3, 9 in ascending order.\nAnswer: -3, -1, -2\/9, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 14 - (-22 - 9)) + -2 + 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 - 269700*x + 2697400.\nAnswer: -4*(x - 10)*(x + 67435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes before 12:39 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -468 and -2.38?\nAnswer: 1113.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - (0 + -5)*2. Suppose -12 = 2*r - 4*q, -r - w = 3*q + 8. Let t = r - -16. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*b - r + 15, 2*r - 5 - 20 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/(-4)*4032\/(-189). Solve 2*r + 26 = w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10231 - 33769. What is s rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 21213 + 13231?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4\/22 - 402*(11 - (-1715)\/(-154)) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 495755162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -16*n - 9*n - 281 + 1031 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13)\/507)\/(1\/3)*(-114)\/(-19)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 0, -2*p + 15 = 3*r - 0. Let s(c) = -c**3 + 20. Let f be s(0). Solve -r*i + f = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q - 18. Let n be y(-17). Suppose -18 = -m + 3*r, -r + 1 = 2*m - 0*r. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 4*v - 24. Let s be (30\/v)\/((-1)\/(-76)). Suppose 4*g = -g + s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 4*q + 36 = 0, -4*i - 16 - 12 = 3094*q + 3089*q - 6185*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -7. Let j(h) = 4 + 6*h - a - 4*h. Let u(i) = -4*i. Determine j(u(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(7) + -2 + 4)*2*-2.\nAnswer: 24 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 154622.58 + -152680. Let t = a - 1973. Let o = 1.62 + t. Round o to 0 dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 76, 86, 102, 124, 152, 186, 226?\n\"Answer: 3*y**2 + y + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 124*g**2 - 2*g + 3. What is the units digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*1\/3*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -7*q**3 - 2*q**2 + 1. Let p be l(-1). Suppose -p = -v + 4*v. Let t(h) = -h**2 + 730*h - 38976. Let z be t(58). Put v, 2, z in descending order.\nAnswer: 2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1370 or -42452\/31?\nAnswer: -42452\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 9*n + 160. Solve 3*h + n = 7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (5 - 0) + (-13 - -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 83*i**2 + 159*i - 9. What are the prime factors of u(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*d**3*z - 8*d**3 + 334*d**2 + 9*d*z - 75*d - 15*z wrt d.\nAnswer: -18*d*z - 48*d + 668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 262, 278, 320, 400, 530, 722, 988, 1340?\n\"Answer: 2*l**3 + l**2 - l + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 86 = 17*b - 0*o, -5*b = -0*b - 2*o + 7*o + 50 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fzzzf. Give prob of sequence zzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5324 or 2?\nAnswer: 5324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -85 + 125*n**2 + 17*n**2 - 87 - 204 wrt n.\nAnswer: 284*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h + 4*h - 2*h)*(3 - 3 - 2)*(1428 - 2378 - 4002 - 1834).\nAnswer: 27144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -635 + 408. Let k = y - -265.8. Let b = 33 - k. Round b to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (4 - ((-27270)\/(-2))\/5)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.4, 4\/7, -2\/39, -0.0433, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 77101371*c**3*i*l**3 - 2*c**2*i*l**2 - 30*c**2*i + 2*c**2 + 7*c*i*l**3 - 290*i*l**2 - 1 wrt c?\nAnswer: 462608226*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 minus 3621.859?\nAnswer: -3621.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w - 3. Suppose 20 = 3*a + 5. Suppose 3*g + 23 = 8. Let b = a + g. Give u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -167 or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4 - 398*(3 + 1 + -5). Suppose -5*m = -0*m. Suppose -3*w - 4*d + 603 = 0, d + m*d + a = 2*w. List the prime factors of w.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6828623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {s: 1, e: 2, x: 1, n: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 38 - 12. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46.49801 years in months?\nAnswer: 557.97612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 5524 (base 8) to base 10\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 - 26 = -5*y. Suppose 0 = 2*w + 14 - y. Let i(n) = -n**3 - 2*n + n - 4*n - 7*n**2 - 3. What is i(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -7*b**2 - 3050*b + 70569. What is h(22)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -20592, 8, 4, -7, -1, -3 in ascending order.\nAnswer: -20592, -7, -3, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**2 - 16*z - 5. Let l be t(11). What is the units digit of -4*3\/6 + l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2118811074.\nAnswer: 2, 3, 89, 3967811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 26159*r**2 - 10416.\nAnswer: 52318*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 187 and 1166?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-17)\/(-3) - (-4)\/(-6). What is the third derivative of j**2 + j**4 + 5*j - n*j + 3*j**2 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) - (sqrt(2) + (sqrt(72)\/sqrt(4))\/sqrt(9))**2 - (-3*(sqrt(2) - 1*sqrt(2)))**2.\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - -14003133?\nAnswer: 14003123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5 + (1 - (-3 - -8)) - -2. Let b(x) = 38*x**2 - 5*x + 25. What is the units digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 148549?\nAnswer: 148549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 4 = 0, 0 = -5*c + 2*g + 26 + 28. Let p be 4 - (0 + 4 + -4). Solve -p*d = -2 - c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -3*k + 5. Suppose 4*b - y = b - 51, 0 = -5*y. Let a = b + 21. Let g(t) = 9*t - 14. Give a*g(r) + 11*s(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**3 + 16*b**2 - 10*b + 17. Calculate v(15).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m - 17 + 0*m + 17.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16 - -19. Suppose -r + 2 = 3*o, -2*o + y*r - r = -12. Suppose -3*z - 4*t = o*z - 75, -75 = -5*z + t. Solve 8*n + z = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-12)*7*(-24)\/(-21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-9)\/12)\/(8\/64). What is the remainder when 288 is divided by 58\/(y*(-1)\/3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 25243584 and 96?\nAnswer: 25243584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + -1*(-9)\/(-15). Let l = -719 + 720. Which is the nearest to 2\/5? (a) l (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 107*g + 21. Let l(a) = 637*a + 123. Give -6*l(f) + 35*s(f).\nAnswer: -77*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00885971788 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 + 4)*(q**2 + 0*q + 0*q) + 294*q**2 - 172*q**2 + 307*q**2 + (-2*q + 2*q - 2*q)*(1 - 1 - q).\nAnswer: 430*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -377, -516, -587, -548, -357, 28, 649, 1548?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -215 + 31. Let i = -120 - w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -3462526 * -1.14\nAnswer: 3947279.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3193327*b**3 + 3193339*b**3 - b**2 + b**2.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 0.5, -0.5, 0.1, 25276.\nAnswer: -4\/7, -0.5, 0.1, 0.5, 25276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003799 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 125474386.\nAnswer: 2, 62737193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o - 1. Let p(c) = -15*c - 12. Let l(j) = -p(j) + 12*r(j). Let x(w) = 8*w**2. Calculate l(x(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1184844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1925 and 699360.\nAnswer: 269253600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 0, -0.3, -73?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(108) + 5*(sqrt(108) - -2*sqrt(108)))*3 + 3 + 3 + 1 + sqrt(108))**2.\nAnswer: 8232*sqrt(3) + 518714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times 0.043?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -39864*q**2 + 200 + 39870*q**2 - 553 - 487 to y*q + g*q**2 + u and give u.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 + 2*j - 9. Is o(11) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eqq when three letters picked without replacement from yqeqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = -4*f - 5*p, 4*f + 0*p + p = 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7 + -937c56?\nAnswer: -937c4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5099627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 210815.\nAnswer: 5, 11, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuulllllullkuuku.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4788 divided by -38?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00384271704 rounded to five dps?\nAnswer: -0.00384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3738499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -10472, 0.4, 21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 468340 is divided by 10761.\nAnswer: 5617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1120 - 5602\/5. What is the closest to -2\/7 in -1, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j = -15 + 17. Suppose -x - 5*m + 25 = 0, j*x + 6 + 14 = 4*m. Suppose -2*o + 13 + 19 = x. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 8. Suppose -34 = -y*a - 5*l, -l = -a + 3 - 5. Solve -4 = -a*m + 4*c, 3*m - c - 2*c - 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 + -3. What is the nearest to 1 in h, -0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 841892*r**2 - 2 - 841888*r**2 + 6 - 4.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 2*f = 17, 5*m - 3*f - 18 = 2. Calculate the remainder when m is divided by ((-12)\/(-10))\/((-1)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*l - 9*l + 14*l + 15*l - 43*l - 11*l + (4*l - l - l)*(-5 + 1 + 2) + 3 - 3 + 2*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 133261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes after 3:12 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 457*h**2. Let i(k) = -1970*k. Determine i(t(o)).\nAnswer: -900290*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xnxxjjnjjjxxjjnj. Give prob of picking 2 n.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7904?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 15521, 12105, 8689?\n\"Answer: -3416*s + 18937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 3*s + 17 = 0, 2*x + 2*s + 12 = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 4*h**2 - 5*h - 3. Let a(m) = 3*m**2 - 6*m - 4. Let p(q) = -6*a(q) + 5*w(q). Let f be p(6). What is the greatest common factor of f and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + i - 2*i - 2 = 0, -2 = -5*k - 2*i. Suppose -3*b + v + k*v - 6 = 0, 0 = -5*v. Let x be (b - -17)*(-2)\/(-6). Sort x, -4, 4 in increasing order.\nAnswer: -4, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*d + d - 3*i + 25, 0 = 4*d + 2*i - 18. Suppose -3*u = -6*u + 2*b + 4, 4*u = d*b + 6. Solve r + 8 = 4*t - r, 0 = u*t - 4*r - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 504*d - 480*d + 120 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -69 or -64?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6 + 5*j**2 + j**2 - 2*j**3 + 3*j**3 - 3. List the prime factors of d(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of 4\/21*o**4 - 24 + 1\/10*o**5 + 0*o + 3\/140*o**6 + 4\/21*o**3 + 7*o**2. Let x(c) be the second derivative of l(c). Factor x(w).\nAnswer: 2*(w + 1)*(3*w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 180, -7, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -n - n - n - 2 + 3 to the form v + i*n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yuayuaygaayyyydy. Give prob of sequence au.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the second derivative of 7*w**3\/6 - 7*w**2\/2 - w + 402. Let p(x) = -13*x + 13. Calculate -11*b(q) - 6*p(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -807\/2 smaller than -403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*i + 26*i = 72 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/(7 - 5))\/(2\/10). Suppose 6*a = a + 4*f, 5*f = -w*a. Find the second derivative of a*y**3 + y**3 - 15*y**3 + 6*y + 4*y wrt y.\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, -93, 1, -4, -16 in descending order.\nAnswer: 5, 1, -2, -4, -16, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 1 + (sqrt(468) - (sqrt(468) + -1)) + sqrt(468) + sqrt(468) + (sqrt(468) + (sqrt(468) - (sqrt(468) + 0 + sqrt(468))) + sqrt(468))*-3 + 4)**2.\nAnswer: -72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 - 6*c + 6. Let a be (-476)\/77 - 4\/(-22). Let v be j(a). Let t(l) be the second derivative of -l**3\/6 + 2*l**2 + 23*l. What is t(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 2*p = -16. Suppose 3*a - 6*a = -24. Let s be p*((-2)\/a + 1). Solve 0 = -s*v - 2*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*w + 17 - 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.39 * -0.04966.\nAnswer: 0.0193674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37299.\nAnswer: 3, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 264, 6, -10, 2, 3, 4, 13 in decreasing order.\nAnswer: 264, 13, 6, 4, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3084 and 126852.\nAnswer: 32600964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - c = 0. Suppose 0 = -c*t + 3*t - 5*a + 9, 0 = t + 4*a - 14. What is the third derivative of 2*v + v - 2*v**t + 2*v**3 - 3*v wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 3 q when four letters picked without replacement from {m: 2, k: 5, q: 6}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -146*n**2*t**2 - n**2 - 87*n*t**3 - 2*n*t + 2*t**3 + 700*t wrt t.\nAnswer: -292*n**2 - 522*n*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l**2 + 7*l + 6. Let m be k(7). Solve -21*q**2 + 9*q**3 - q + 3 + 0*q + 16*q - m = 0 for q.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*k = -75*k - 393*k - 27612 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -621*z + 473*z - 1480 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -637 + 1040. Suppose 2*y - w = -5*b - 11, -b + 100 = -5*y. Is b a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 2:47 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -112 - -114. Solve 44*z**3 - 1127*z**4 + 441*z + 351*z - 648 + 1125*z**4 - 314*z**h = 0 for z.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 take away 0.01285758?\nAnswer: -3.01285758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 105624874 to the power of 1\/2, to the nearest integer?\nAnswer: 10277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 - 3*b + 16. Let t be d(-5). Solve 3*i = 3*a + t, i = -0*i - 3*a + 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from oxuuxouxxu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -13*m**3 - 9*m + 444.\nAnswer: -39*m**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 827 - 827. Is m equal to 2\/509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1231 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 the next term in -14445, -57494, -128729, -227730, -354077, -507350, -687129?\nAnswer: -892994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 770 and 467807186?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 287701707 and 642.\nAnswer: 575403414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -p**4 + 0*p**3 + 0*p**3 + (-2*p - p**2 + 2*p)*(22*p**2 + 33*p**2 - p**2).\nAnswer: -55*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 666152 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1930, -3711, -5498, -7291, -9090?\n\"Answer: -3*v**2 - 1772*v - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-w**2 - 50*w - 1947 + 1947)*(-1 - 11*w - 10*w + 24*w) in the form c*w**2 + o + v*w**3 + f*w and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 - 13*j**2 - 3*j + 16. Determine m(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/((-9)\/2) + 68\/18. Sort 1, 5, y, -3 in decreasing order.\nAnswer: 5, y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -10*y**2 + 3*y. Let x(k) = -451657*k + 2. Calculate x(i(s)).\nAnswer: 4516570*s**2 - 1354971*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 294086.6*4\nAnswer: 1176346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(((m\/(m*m**(-3\/4)\/m))\/m)\/m)*m*m)\/m**(-2\/53) assuming m is positive.\nAnswer: m**(697\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 49 or 599598?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -13554421 (base 7) in base 8?\nAnswer: -4670401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 1 + 0*r**2 - 2*r**2 + r + 5*r**2. Let t = -660 + 658. What is f(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 3, b: 1, w: 1, o: 9, p: 2, v: 4}. What is prob of sequence pvop?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 429080.967 minutes?\nAnswer: 42.56755625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yeeyyye. What is prob of picking 2 e and 2 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.189640133793 + -540.810360408207. Let c = q + 541. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -114 = 5*a - 109 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (51 + 11 - 6)*(4*y**2 + y**3 - 4*y**2).\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8236)\/(-6816) + 15\/(-12))*39.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -194 - -209. What is the highest common factor of t and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, u: 1, z: 2}. Give prob of picking 1 u, 1 z, and 1 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by -15530\nAnswer: -11\/15530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 7\/6, 0.3737, 0?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 s when three letters picked without replacement from stdffd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6 + 3)*(-14)\/6. Let i(h) = h**2 - 2. Let u be i(3). Let c(j) = -q + u + j. Let f(a) = 3*a. Give f(c(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3092 = -6*x + 8*x + 2*n, 4*n + 20 = 0. Suppose -x + 492 = -3*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3301422 (base 5) in base 3?\nAnswer: -2212111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*n**2 + 6361 - 6470 + 3*n**2 to s*n**2 + t*n + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p + 3. Let g(b) = -b - 1. Let n(d) = -2*d + 5. Let x be n(0). Suppose -x*q = -h - 15, q + 4*h + 5 = 29. Let a = 19 - 9. What is a*g(z) + q*r(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9.577 + 10.18. Let d = c + -0.151. Round d to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -5*d**3 + 5*d**2 - 3*d**2 + 4*d - d**2. Let c be f(-3). Suppose 0*a + 3*a - c = 0. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 805902128.\nAnswer: 2, 50368883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 - 320*i + 25344. What is x(175)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0 (b) -1\/7 (c) 2\/5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 6 = 0, -5*u + 5*s = -24 - 6. Solve -2*m - u*m = -25, 0 = -5*f + 5*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:16 PM and 8:28 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1.240132 micrograms?\nAnswer: 1240.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 6*z = -65. Suppose -2*f = -2*c + 18, -f - 22 = -3*c - 3. What is the remainder when z is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -3*o**2 + 5 - o - 3 + 7*o + 3. Let x(y) = -16*y**2 + 30*y + 26. Let z(d) = 11*n(d) - 2*x(d). Let w(a) = 6*a**2 - 1. Let h be w(-1). Determine z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 2*w + 6. Let f be (-4)\/w + (-28)\/(-6). Suppose 7*h - 3*h - j - 5 = 0, 0 = -h + f*j + 20. Solve p + 2 = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 3*p - 6. Let h = 84 - 71. Let w = 21 - 12. Calculate the remainder when d(h) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of -6 - (-111 - 63\/9) and 8?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/1)\/((-1)\/((-6)\/(-9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 45*o - 32*o + 92*o.\nAnswer: 15*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3433 = -2*y + 906 - 1053. Does 53 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r**2 + 40*r - 52. What is the least common multiple of w(8) and 129?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2*s + 5. Let m be i(4). Let r(h) be the third derivative of 1\/12*h**5 - 1\/6*h**3 + 0 + 0*h + 1\/12*h**4 + 1\/120*h**6 - 2*h**2. Calculate r(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 4*q - 1. Suppose 3*l + 18 = -3*s, -2*l + l - 3*s = 16. What is n(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26623690 times -4?\nAnswer: -106494760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be 20\/14 + (-57)\/133. Let h be -3*38\/3 + j. Let x = -34 - h. Solve -3*m = -4*w + 20, 15 = 6*w - x*w + 5*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-40)\/(-25) + (-4)\/(-10). Let r be (h - 4\/2)*-1. Suppose r*y = 2*y - 22. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1788561, -3577095, -5365629, -7154163, -8942697, -10731231?\nAnswer: -12519765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w = -12*w - 5*r + 13900, 0 = r. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3869935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 38 + -436b1?\nAnswer: -43675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u + 6 - 6. Solve u = -3*g - g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14898562?\nAnswer: 2, 7, 17, 59, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1292*j = 1299*j - 644. Calculate the lowest common multiple of 10 and j.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -41722, -83787, -125852, -167917?\nAnswer: -209982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 3*p - 17, 3*r - 11 = -p + 4. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -112, -141, -170, -199?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 132578.\nAnswer: 2, 151, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2, -1, -4, -156, 1, 14 in increasing order.\nAnswer: -156, -4, -3, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/8432456 and 149\/139135524?\nAnswer: 278271048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.397 + -0.397. Let d be (-6)\/(-2)*2\/12. What is the nearest to -0.1 in t, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 133 + -145 + (-4 - (-1 + 3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (17 - 2)) + (24 + -2 - -3 - 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1466911291\/2317 + -633108. What is the common denominator of 56\/1655 and j?\nAnswer: 11585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -730 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-4))\/(-3)*(-540)\/(-1080)*-24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1169065062 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1375586250 and 930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-6*2*sqrt(81))\/sqrt(3))\/(sqrt(441) - 4*1*sqrt(441) - sqrt(441)).\nAnswer: 15*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and 524.66.\nAnswer: 519.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 6566, 2 in decreasing order.\nAnswer: 6566, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25 + -22. Sort o, 2, 0 in descending order.\nAnswer: o, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -5*j - 4, j = -13*g + 8*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5778095, -5778092, -5778087, -5778080, -5778071, -5778060, -5778047?\nAnswer: -5778032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -176*u**4 - 95*u**4 - 116*u**4 + 50*u**4 - 1 - 49*u wrt u?\nAnswer: -4044*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32726 + 7363378\/225. Let a = t + -1\/75. Sort -5, 1, 4, a in ascending order.\nAnswer: -5, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -150 - -313. Let n = 156 - h. Let t(i) = i**2 - 4*i - 13. Let a(u) = -u**2 + 3*u + 9. Calculate n*a(m) - 5*t(m).\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -31765*g**3 + 42842*g**2.\nAnswer: -190590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -4*j**2. Let z(d) = -1060*d + 7. What is z(w(r))?\nAnswer: 4240*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 40797 and 918.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161*g = -168*g + 98. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - k**2 - 2. Let l(v) = 2*v**3 - v**2 - v - 4. Let a(b) = -2*l(b) + 5*u(b). Suppose 3*p = 5*p - 2*n - 14, 5*p = -n + 17. Does 11 divide a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2057 - 2052. Solve -f*x + 20 = 5*r, -4 = 20*r - 22*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -151*u - 2 - 355*u - 131*u + 5.\nAnswer: -637*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6299892 to the power of 1\/2, to the nearest integer?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1464 and 34404.\nAnswer: 68808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*x - 39*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -566 + 30?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 16495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.888 - 7.112. Which is the biggest value? (a) g (b) 105\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/(-36)*(-6)\/11. Let q = 0.05 - 0.55. Let v = -4 - -6. Which is the nearest to -1? (a) o (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c - 2. Let x be g(7). Let o be (-25)\/10*x\/(-10). Suppose o*r = k + 1, 0 = -k - 4*k - 2*r + 29. Calculate the remainder when 18 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -29*l**3 + 2 - 192*l**3 + l**2 + 6*l - 30*l**3. Let u be (-14)\/(-2) - (0 - 0). Let v be s(u). Round v to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y. Let o(a) = 7 + 9 - 7*a - 14. Let m(j) = 7*j - 3. Let u(q) = -2*m(q) - 3*o(q). Determine f(u(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*((-7)\/(-2) - 1). Suppose -k = v - 14. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1430)\/39*(0 + 18\/(-10)). Suppose v + 6 = 4*v. Let u be (-92)\/(-2) - v - 0. Calculate the greatest common divisor of c and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -11*d**2 - 2*d. Let r(t) = 4*t**2 + t. Determine -3*q(m) - 8*r(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -103814 - -58873. What is z rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z - 2. Suppose 4*y = 3*y. Let b = 4 - y. Let r be g(b). Solve -3*f = 2*f, r*w - 8 = 3*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.0802 or -1?\nAnswer: 0.0802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67183264 is divided by 22283.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*i = 110 - 250 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9 and 5013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -115 + 117. Suppose 5*h = -4*r + 234, -j*h = -4*h - r + 96. What is the remainder when h is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 52 - 79. Let p = v + 23. What are the prime factors of p + 126\/(-3)*-1?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 6*t = 8*t + 16, -3*a = t - 8. Let c(x) = -7*x**3 - 2*x**2 - 4*x - 4. Let w(h) = 14*h**3 + 5*h**2 + 9*h + 9. Determine a*w(u) + 9*c(u).\nAnswer: -7*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/16 + (-7)\/4. What is the third biggest value in 2\/9, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -136 - l + 135 + 40*l**2 + l to i*l**2 + f*l + p and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 + 4*i**2 + 4*i - 4*i**2 + i**2 + 3*i**2 - 8. Let n(l) = l**2 + l - 2. Let c = 200 + -202. Calculate c*h(b) + 9*n(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of -3*d**4\/10 - 4*d**3\/3 - 4*d**2\/5 + 1684*d. Factor j(a).\nAnswer: -2*(a + 2)*(9*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 74136 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the third derivative of 0 - 4\/3*c**3 + 0*c**4 + 0*c + 3\/20*c**5 + 4*c**2. Find the first derivative of v(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -23339857 and 0.03691376.\nAnswer: -23339856.96308624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -68 - -96. Let h be 3 - 0 - (1 + 0). Suppose h*y - 4*y = -14. What is the highest common factor of y and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*a**2 - 5*a**2 - 4*a**2 + 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 3*v**3 - 7*v**2\/2 - 2*v - 1. Let t be i(8). Suppose 3*w = 0, -5*d + 4*w + 20 = t*w. Are 3 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -20*u. Let w(s) = 437*s**2. Calculate w(i(v)).\nAnswer: 174800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 126608587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -179240\/7 greater than or equal to -25606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 13737645533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0082835 - 48.\nAnswer: -47.9917165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -3*w + 3, -4 = -2*m - w - 1. Put 4, m, -5 in increasing order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001721555772 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 + 20 - 155)*(2*u**2 + 2*u**2 - 6*u**2) + (0*u**2 + u**2 + u**2)*(1 + 1 + 0) + (24*u + u + 9*u)*(6 - u - 6) to t*u**2 + g + c*u and give t.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -564*u + 588*u - 96 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 17616 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -82 - -82. Solve -4*j + 17 - 1 = b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1519.91 + -1510. Let g = j - 10. Let l = g + -3.91. Sort 2, 0.1, l.\nAnswer: l, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -210 divided by 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-12524)\/7812 + 15\/21\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 2 r when four letters picked without replacement from {g: 2, h: 13, r: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract -424599 from -1.\nAnswer: 424598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 84184 - 84178 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 48 + c**3 - 2*c**2 - 48. Let z be k(2). What are the prime factors of z*(-4)\/12 + 30?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 297 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*g**2 + 2*g**2 + g**2 + (4*g - 13*g + 4*g)*(-2*g + g + 2*g) to the form j*g**2 + b*g + a and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/36 of a week?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1734, 244, -1, 5 in ascending order.\nAnswer: -1, 5, 244, 1734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2\/228895 + 769070\/1968497. Let d = 2\/215 + u. Sort 0.1, 0.2, 1\/2, d in descending order.\nAnswer: 1\/2, d, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-5)*(0 + 2*10\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 184184 and 8372?\nAnswer: 184184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 39582 or 18.44?\nAnswer: 18.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.116, -0.05, 1.7, 0.6?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 105618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/1*2\/3. Suppose -3*g = -n - n + 6, n + 5*g - 3 = 0. Differentiate -6*m**2 - 4*m**2 + 3 + 3*m**n + 10*m**y with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 849162113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -6*q**2 + 7*q + 5. Determine d(-4).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the first derivative of 4*x**2 + 2. Suppose 4*k - 304 = 184. Let f(h) = -k + 122 + 2*h**2. Calculate m(f(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from lkqussmkq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 5905 = 2005. Is (-8)\/(-10) + w\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 125519 or 878643\/7?\nAnswer: 878643\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*j**3 - 71*j**2 + 40*j**2 + 32*j**2.\nAnswer: 5*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 PM and 4:28 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 172434420 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5.6? (a) 4 (b) -0.5 (c) -2\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 7\/2*r**4 - 1\/4*r**5 - 11*r**3 + 10*r**2 + 0 + 0*r = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 7*v**3 - 5*v**2 + 2*v + 9. Let i(t) = -15*t**3 + 10*t**2 - 4*t - 19. Let o(h) = 5*a(h) + 2*i(h). Is o(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t**4 - 152*t**3 - 848*t**2 - 552*t + 1548 = 0. Calculate t.\nAnswer: -3, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.51954 (b) 2.9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 52*a**3*o**3 - 5*a**3*o**2 - 3*a**3*o + 66*a**3 + 2*a**2*o - 3*a*o**2 - 6*a*o - 2*o**2 wrt o.\nAnswer: 312*a**3*o - 10*a**3 - 6*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z = 5*s - 8*s + 15, -6*s - 3*z - 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(125) + 1 + sqrt(125)))**2.\nAnswer: 320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 5 + (4\/(-6) - (-3683)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -2 = -33\/1461982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 24, 2\/11, -0.052237.\nAnswer: -0.4, -0.052237, 2\/11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 12416332.\nAnswer: -1\/3104083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-12)*15\/7)\/(60\/105)*34.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of 3*b**4\/8 - 5*b**3\/6 + 12*b**2. Does 11 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -2*y**5 - 254*y**4\/3 - 1712*y**3\/9 - 1288*y**2\/9 - 320*y\/9 = 0.\nAnswer: -40, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r + u + 3, 4*r + u + 1 = -4*u. Let b be (r - 9) + (-4692)\/(-561). Find n such that 10\/11*n**5 + b*n - 14\/11*n**3 + 6\/11*n**4 - 6\/11*n**2 + 0 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 - (13 + -14) - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h*h*h**(2\/15)*h)\/h)**(-34) assuming h is positive.\nAnswer: h**(-1598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 57*c - 16*c - 1 - 27*c - 13*c to the form m*c + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = -4*l + 2. Let y be (-1341)\/l*2\/(-1230). Let q = y + 134\/41. Find the common denominator of -69\/4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d + d = 24. Let y be 2\/6 + d*3\/(-27). Suppose 2*z - 11 + 5 = y. Solve z*c - 16 = 2*p, -4*c = -c - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155553571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x + 1. Let p(s) = -2 - 5*s - s**2 + 2*s**2 + 3 + 5. Let q be p(6). Let v be 7\/28*q\/3. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 173777688 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 96684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqo when three letters picked without replacement from qooqooqo.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4*4*-1*(-13)\/130*5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1*3\/34)\/((-1)\/(-4)*-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 28 = -j. Let s = -18 - j. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/80 and 27\/881800.\nAnswer: 1763600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 + 4. Suppose 0*q = -2*q - 6. Let w(d) = 2*d + 1. Let r(g) = -427*g + 1. Let p(j) = -1707*j + 5. Let b(c) = -p(c) + 4*r(c). Determine q*b(y) + z*w(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1848\/1078*((-21)\/2)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 7 + 19 = 0. Suppose -m*g + 884 - 194 = 0. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t - t + 9. Suppose i - 3*i = t*a + 508, -a + i = 161. Let n = -73 - a. Calculate the remainder when n is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -373?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*a = -54*a + 98*a + 1768 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = v + 5*n, 5*v + 3*n - 660 + 536 = 0. Solve f = -5*r - 9, -4*f - f - 3*r = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*w + 48*w = 12. Let x(q) be the first derivative of -1\/2*q**2 - w*q - 2. Determine x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1275579 is divided by 608?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -137 + 137. Let v = 4 + -5. Are n and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2056588 - -2056443.99951. Let j = c - -144. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3544142167 minus -7?\nAnswer: -3544142160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95 = 3*x + 5*f, -2*x - 2*f + 100 - 34 = 0. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 3*h + 19. Let t(b) = 13*b**2 + 6*b. Determine a(t(k)).\nAnswer: 39*k**2 + 18*k + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -11\/84 (b) -3\/2 (c) 0.219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 130*v**2 - 1275*v - 203. What is j(10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -61 - (-9 - 105) - 97.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the second derivative of -5*h**4\/12 + 8*h**3\/3 + 154*h + 5. Give m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*b**3 + 37*b**3 - 196*b**3 + 53*b**3 + 29*b**3 + 42*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 830 - 830. Solve i = -0*a + 5*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14896486999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/5, -3, 5, 0.01 in ascending order.\nAnswer: -3, 0.01, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**2 - 2*l + 86. What is the units digit of n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 52 and -0.19534?\nAnswer: -10.15768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 674 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -14 + -6 + 13 - (-11 + -18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-4 + sqrt(208) + 0 + 5))**2.\nAnswer: 128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 360 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (28\/(-12))\/(1\/(-48)). Suppose 4*n + c + 20 = 5*q, -q - 3*n = -15. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - 0*k + 2*l + 232, -3*k - 2*l + 188 = 0. Let z = 94 - k. Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 PM and 2:07 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 89853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -8*h + 15*h. Let z be -1 - (42\/(-12) - -2)*h. Solve 0 = -5*y + z*o + 19, -3*y + 5*o + 7 + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7)\/(-14) - 22\/(-4). Let y = z - 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fgfffgxfgfffxff. Give prob of picking 4 f.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + 3\/6)*2. Let r = 6955 + -6943. Solve -r*b + z*b = -28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 1\/103, -1\/5, -2\/23.\nAnswer: -1\/5, -2\/23, 1\/103, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 52338, 52576, 52830, 53100?\n\"Answer: 8*y**2 + 214*y + 52116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06 minus -42022?\nAnswer: 42022.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5502*-0.10055\nAnswer: -553.2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 7 + 9)*(-1 - 2 + 5)*(74 + 4*u**2 - u - 72 - 6*u**2) in the form i + m*u**2 + n*u and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5128765*o - 5128713*o + 10257475*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 - 2*f**2 - 3*f - 3. Let v be d(-3). Let s = v + -11. Solve 2*k + k - 12 = 0, -4*h - s = -4*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a - 4*n, -79195*a + 79180*a + 3*n = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 5\/2 (b) 0.2 (c) 10269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -23.2 + 23.6935. Round d to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -3, 2, -11.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1215 and 58\/9?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -19.939 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + 7. Suppose -t*m + 5*m + 5*a = 271, -189 = -2*m - 5*a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-210)\/(-35) + (-2 - -1). Suppose 4*x = -2*o + 8*x - 8, -o + h = x. Solve -o*i + 1 = -3*b, 0 = -0*i - 5*i + b - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -87880 or -87876?\nAnswer: -87880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -26*i**2 - 728*i - 4. Calculate j(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**2 + 0*p + 0*p)*(-36 + 1 - 9).\nAnswer: 88*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -4*d**2 - 3*d + 4. Give c(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 1460*y + 115364. Give z(-79).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - -2. Calculate the highest common factor of z and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1244 + -1271.34. Let j = n - -0.34. Which is the third biggest value? (a) j (b) 1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -r - 2*r. Let n be (-7 - -7) + (r - -1). Suppose n = -c - 3 + 12. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 12:13 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + 116\/12 + (-15)\/9. Suppose 4*q + a*c = 983, 8*c + 720 = 3*q + 6*c. Is 241 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14 - -28. Let o(l) = l**3 + 10*l**2 - 2*l - 8. What is the smallest common multiple of k and o(-10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n**2 - 1038185*n + 1038180 = 0.\nAnswer: 1, 207636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**2 + 8*t - 8. Let q(f) = 4*f**2 + 22*f - 23. Give -8*k(m) + 3*q(m).\nAnswer: 4*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 2)*(2*j**3 - 4*j + 4*j) + 4*j - 4*j - j**3 - 2*j**3 + 2*j**3 + 2*j**3 + (-14*j - 4*j + 0*j)*(1241*j - 1241*j - 4*j**2).\nAnswer: 71*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*r**2 - 7*r**2 + 2*r**2 - 12*r**2 + r**2 - 40*r**3 to the form s + v*r**3 + o*r**2 + n*r and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 31256157643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 110183 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73 + 368*x**2 - 370*x**2 - 73.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*k + 444 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gijcjjogjo. What is prob of sequence ci?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -28*g**2 - 3 + 56*g**2 - 62*g - 21*g**2 in the form c*g + v*g**2 + n and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -102 + -3240?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 152011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 8943.\nAnswer: 8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes before 10:04 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -12*w**3 - 22*w**2 + 11*w - 54. Let i(d) = -5*d**3 - 11*d**2 + 4*d - 27. Let o(n) = 5*i(n) - 2*u(n). Calculate o(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**7\/(a*a\/(a\/a**(1\/4)))*(a*a\/(a**2\/a)*a*a*a)\/(a*a\/((a*a**(3\/7))\/a)) assuming a is positive.\nAnswer: a**(229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 91 - 91. What is the closest to d in -5\/3, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*(5 + 6 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6653.\nAnswer: 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 9 = 2*p + v, 4*v + 3 = 5*p. Let w = p + 22. What is the remainder when 97 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*u**2 - u**2 - u**2)*(4*u**3 - 9*u**3 + u**3).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c and 1 u when four letters picked without replacement from {u: 2, c: 3, w: 1, b: 3, h: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/(-3) - 3115\/1869?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/106524 and 28\/133155?\nAnswer: 532620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be (396\/(-48))\/((-1)\/(-4)). Let h be ((-3)\/d)\/(2\/4). Put h, 0.2, -3 in increasing order.\nAnswer: -3, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 3, -0.3, -67\/4 in increasing order.\nAnswer: -67\/4, -0.3, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-17)\/17*(-2 - -2)\/2. Suppose 2 = 2*s + 8. Let a be (-1)\/49 - 0\/s. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 83376 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-24)\/9)\/((-2)\/3). Suppose 0 = i*k + 48 - 428. Suppose 37 + k = 3*w. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.66 - -1040853?\nAnswer: 1040854.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from iijejjyyejejy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 50 = w, 0*w - 2*w = -4*s + 40. Suppose -s*n + 9 = -9*n. Calculate the remainder when 69 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 10*r + 11*r + 636417, 0 = 8*q + 3*r - 1697146. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/10424601 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 102 and 54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 + 18*q**2 - 21*q - 12. What is x(-19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -10*q - 6 + 3*q - 7. Suppose 2*f + 45 = 7*f. Let b(t) be the third derivative of -t**4\/8 - t**3 + 2*t**2. What is f*b(u) - 4*c(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 133910 divided by -5.\nAnswer: -26782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 2 y when four letters picked without replacement from zysssqqysyzqzsc?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 277, 494, 711?\n\"Answer: 217*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 3*c. Let s(t) = -16*t + 1. Let w(k) = -k**2 - 9*k + 12. Let u be w(-10). Let j(b) = u*s(b) + 11*i(b). What is the derivative of j(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -47224 - -47230. Let c = -9 + 5. What is the second biggest value in c, 0.1, -3\/8, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -224*y**4 - 408*y**2 + 11*y. Let a(h) = -112*h**4 - 203*h**2 + 6*h. Let f(i) = 11*a(i) - 6*g(i). Find the third derivative of f(m) wrt m.\nAnswer: 2688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16? (a) 894 (b) 1\/4 (c) -2\/7 (d) 5.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 + 38*j**2 + 277*j - 1523. Calculate d(-19).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 1 + sqrt(108) + (sqrt(81) + sqrt(81)*-2)\/sqrt(3).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the first derivative of k**2 - 9*k - 2. Let t be w(7). Solve -t = 4*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -323177\/15 - -21545. Let u be 0 - 4*-1 - -1. Sort p, -0.1, u.\nAnswer: p, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/70737989 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 496 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30.054 + -30. Let i = r - 0.354. Let n = 0.02 - 0.42. Which is the biggest value? (a) 0 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence euvv when four letters picked without replacement from qvvqque.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 4*f + 26, 261*f = 264*f - 6*h - 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 34178.93ml in litres?\nAnswer: 34.17893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -359\/7, -4\/9, -15, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of -j**3\/3 + 3*j + 18. Let w = 7 + -3. Let r(u) = u**2 - 4. Let m(g) = w*b(g) + 3*r(g). Let l(h) = -3*h. What is m(l(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*h**11*h**(-17)\/h)**(-3))**(-38) assuming h is positive.\nAnswer: h**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -35 (b) -17\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7 and 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 716.\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -37*m*o**2 + 2*m*o + 4*m - 20 with respect to o.\nAnswer: -74*m*o + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 527*s**2 + 1156*s**2 + 482*s**2 to the form x*s**2 + w*s + g and give x.\nAnswer: 2165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes before 12:37 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4 + (-45)\/10)*-12. Suppose 13 - 595 = -g*b. Differentiate -42*z**4 + b*z**4 - 47*z**4 + 32 wrt z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of -w + 1\/15*w**5 - 1\/15*w**6 + 1\/18*w**4 + 0 + 0*w**3 + 0*w**2. Factor p(b).\nAnswer: -2*b**2*(b - 1)*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/3111004 and -99\/3536?\nAnswer: 211548272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 2*o + 12. Let x(z) = 5*z + 28. Let j(r) = -65*r - 365. Let q(s) = 3*j(s) + 40*x(s). Calculate 3*q(c) - 7*u(c).\nAnswer: c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 14 * 0.013.\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the first derivative of b**3\/3 - 15*b**2\/2 - 13*b - 17. Let t be c(16). Solve 5*z - 3*z - 4 = t*v, 2*v + 1 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes after 4:57 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6655) + sqrt(6655)*-2 - sqrt(6655) - sqrt(55) - sqrt(55) - sqrt(605)\/(sqrt(539) - sqrt(11)))\/(sqrt(22)\/(sqrt(2) + 1*(sqrt(2)*4 + sqrt(2)))*4).\nAnswer: -145*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - w + 353, -9 = 2*w - 5. Let g be 4*(1 - 49\/(-2)). Let p = g - i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w - 14 = -5*b, 5*b - 43 = 4*w - 26 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 877152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 1 = 2*z, z + 0*z + r - 3 = 0. Find the common denominator of z\/2 + (-7 - (-106)\/4) and 49\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/7 + 4\/14. Let m be 1\/n - 60\/(-8). What is the derivative of -13*s + 1 + s + m*s + s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -26 + 35. Let r = 37 + 35. Suppose 5*k - r = 4*k. Calculate the greatest common divisor of g and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -3. Suppose -3*p + 4 + 2 = w. Determine i so that -11 - 5*i**2 - 16*i + 7 - p*i**2 = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/6*(-17 + 14). Let m(p) = -2*p + 5. Let q(j) = j**3 - 2*j**2 - j. Let f be q(3). Let n(t) = 1. Calculate d*m(x) + f*n(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 11020 + 110?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**2 - 3*r**2 - 965677*r + 1931402*r - 965725*r + 8*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 7*a**3 - 2*a - 1. Let v be r(-1). Let t = -4 - v. Suppose -2*c - 3*c + 8995 = 2*d, -t*d = -4*c - 9004. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 2*o = u + 45, -5*u = 4*o + 211. Let h(v) = 7 + 46*v + 25*v - 21*v. Let t be h(-1). Is t not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -3\/4, -45\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 48 = 5*g, -4*b - 3*g = -102 + 6. Suppose -f + 3*f = -4*r - b, 5*f = r - 5. Sort 3, r, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -21568 less than -21533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16565 is divided by 413.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -10*g**3 - 2*g**2 + 1. Suppose -9 = -5*n + 11. Suppose n*w + 1 = 3*j - 1, 0 = 2*j - 4. Determine y(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1572 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 108 = 103 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 156980113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hrlhhhlyyhhhhlhlxry. What is prob of picking 1 h and 1 x?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-3) - (-6)\/9. Let a = y - 1. Let f be a\/(-1) + (-3)\/1. Sort 1, f, -5 in descending order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 74? (a) 0.06 (b) 0 (c) 4 (d) 18\/7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.12 - -0.06. Let a = r + -0.14. Is a smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hgyihgyazagzgh. Give prob of sequence ha.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 - 5. Give u(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -248801285, -248801287, -248801289?\nAnswer: -248801291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -38721576 + -0.4.\nAnswer: -38721576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8983300 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 0 + 3706\/5 - (-1)\/100*-20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 24 + (16 + -5 - -2) + (30 - 5) + -11\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -2\/107, 255, -9, -2, -1?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -17*r + 687. Determine b(27).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 5. Let w(a) = 3*a + 5*a + 0*a - a - 1 - a**b. Let x be w(7). Is x > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = -9*i - 19 + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add 12964529772.47 and -0.4.\nAnswer: 12964529772.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 179, 332, 463, 566, 635, 664, 647, 578?\n\"Answer: -c**3 - 5*c**2 + 175*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -506 + (750 - 326) - (0 + -2 + -6 + 0)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 - -1.20618823\nAnswer: 1.20618823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -d**4 - 5*d**4 - 3*d**4 + (16*d + 181 - 181)*(3*d - 3*d - 2*d**3).\nAnswer: -41*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-4 + 0 - (13 + -22))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-4) - -14*(-3)\/(-12). Let y be -25*(3 + (-2 - 2)). What is the highest common divisor of t and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155072 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 8:00 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 133392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5580 - -5579.5. What is the third biggest value in 0.06, -39, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in twenty-three thirds of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 5*h - 5*h + 3*h + h. Let o(w) = -w**2. Give a(o(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - k - 8 = 3*d, 3*k = 4*d + 13. Suppose r = o + 3*o - k, -2 = -o. Let n = 0.1 - 0.3. Which is the nearest to 0? (a) r (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1951, -1904, -1825, -1714, -1571, -1396, -1189?\n\"Answer: 16*f**2 - f - 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -1194 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 28.207, -1, 4\/3, 2\/9, 2, 20, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, j: 1, k: 1, m: 1, g: 1}. Give prob of sequence qg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 185477857?\nAnswer: 263, 821, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 9 = 3. Suppose -m + 3 = 2*a - 16, -17 = -3*m + 4*a. What is the remainder when m is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**3\/15 + 14108*w**2\/15 - 24879458*w\/15.\nAnswer: -2*w*(w - 3527)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvavvvvava.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -270 - -277. Solve -3*a + 8 = -z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15890 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -91 - 45. Suppose y + 134 = 2*a, -l - 66 = -3*a + y. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8515*p**4 + 140*p**3 - 784961*p**2.\nAnswer: -204360*p + 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -679, -4399, -13695, -31099, -59143, -100359, -157279, -232435?\n\"Answer: -422*y**3 - 256*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x - 9. Let m be f(-6). Suppose 0 = -m*y - 3 + 9. Suppose -2*v + 0*v + 8 = a, y*v - 2*a = 8. Solve -w = -v*k - 0 - 8, -6 = -4*w + 3*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -76856, -153574, -230150, -306584?\nAnswer: -382876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 48*w**2 - 137*w - 87. What is a(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2390034, 2390046, 2390062, 2390082, 2390106, 2390134?\n\"Answer: 2*x**2 + 6*x + 2390026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -5*n**3 - 7*n**2 - 7*n - 3. Let x = -14 - -15. Suppose -x = h + 3. Let v = 2 - -5. Let a(m) = -3*m**3 - 4*m**2 - 4*m - 2. Calculate h*b(s) + v*a(s).\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 2*y + 4*g = 184, 2*g + 104 = y. Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3209, -10640, -22299, -38186, -58301?\nAnswer: -82644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -77 - 76 + 7 - 105*n + 35 wrt n.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, g: 1, o: 1, v: 1, i: 1, h: 1}. What is prob of picking 1 i, 1 g, and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1539\/57)\/(-27)*(-3)\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 10 + (3 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-10 - 288\/(-27)). Let c(k) be the first derivative of -1\/3*k - 1\/3*k**2 - 1 - 1\/9*k**p. Factor c(v).\nAnswer: -(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 + 8*m - 2. Let f be -3 + 2 + -11 + 2. Let u(z) = z**3 + 11*z**2 + 9*z - 4. Let p be u(f). Calculate c(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -17*t - 4. Suppose -1100*l = -1117*l - 34. Let n(b) = -b - 1. Determine l*n(s) + a(s).\nAnswer: -15*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.2, -5, -3, 17, -83, 1\/4?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4434 - 4429. Solve 0 = o - 7, 17 = z*f - 4*o + 65 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-9 - -2)\/(3\/(-12)). Suppose -4*j = j - 2*t - 169, 2*j - t - 67 = 0. Find the second derivative of -j*i**3 + 35*i + b*i - 68*i wrt i.\nAnswer: -210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5064904854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**3 - 5*o**2 + 4*o + 5. Let v(n) be the first derivative of n**2 - 6. Let f be v(-2). What is the tens digit of a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s - 33*s + 738095 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 13 + 4 = 0. Let x be (1 + -1)\/(-1 - -2). Suppose 0 = c + f*m - x - 21, -5*c = 2*m - 53. What is the remainder when 26 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 75000 = 5*l. Round l to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4664586 by 2.\nAnswer: -2332293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15 and 4340091?\nAnswer: 21700455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 345 - 173 - 172 + 106*x - x**2 to f*x**2 + b + o*x and give o.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (17 + (-609)\/35)*(-3 + -4 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -459\/7 (b) 13 (c) 0.5 (d) 7 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 2*g**2. Let w(u) = -224*u**2 + 7*u - 15. Calculate w(b(i)).\nAnswer: -896*i**4 + 14*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2848317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3012*((-21)\/6 + -1)\/(-3). Let w(i) = 4516*i**2 + 18*i - n*i**2 - 13 - 5*i. Let k be w(5). Solve -b + l = 5, -4*b = -0*b - k*l + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -57 - -61. Let g(l) = -l**2 + 5. Calculate g(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 35 - -5. Let i(z) = 4*z**2 - 2*z - 1. Let n be (2\/6)\/(2\/(-6)). Let m be i(n). What is the highest common factor of m and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -2*r**2 - 9*r + 267. Let k(x) = x**2 + 3*x - 133. Determine 7*k(b) + 3*v(b).\nAnswer: b**2 - 6*b - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/8 and -73\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18, 42, 130, 234, 342?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -r - 8*r + 0*r to the form a*r + t and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 68950155 to the nearest integer?\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q + 1. Let b(x) = -4*x + 4. Let k = 0 - -2. Determine k*b(c) - 6*g(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2808165594 to the nearest integer?\nAnswer: 52992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000108910376 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.56 + -0.48. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.483066723 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-2)*-4*-135*(-65)\/3510\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 5, 13, 27, 47?\n\"Answer: 3*o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1099665.\nAnswer: 3, 5, 7, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 99\/(-154)*(-2)\/(-9)*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 10611 = 4*p, 6*t - 7*t = -5*p + 13257. What are the prime factors of p?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165043320 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -103389 by -11.\nAnswer: 9399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-30)\/7 + (-26)\/(-91). Let l be (-3)\/(((-24)\/(-2))\/f). Let d be ((-1103)\/3 + l)*4800. What is d rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.6 - 123997.1?\nAnswer: -123994.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -98\/2175 and -191\/2035800?\nAnswer: 2035800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 38408, 38476, 38510, 38492, 38404, 38228, 37946?\nAnswer: 37540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 2*g**2 - 2*g + 2958. Let m be l(0). Suppose u - 2*z = 1473, z - 2*z - m = -2*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/((y\/(y*y**4))\/y))**(-1\/19) assuming y is positive.\nAnswer: y**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23298 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4626475*a - 3850748?\nAnswer: 4626475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/4 of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express ((3 - 3 + n)*(0 + 4 - 3) - 13*n + 5*n - n - 3*n + 3*n + 2*n)*(-n - n + 4*n) in the form i + c*n + h*n**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1198, -4785, -10764, -19135?\n\"Answer: -1196*u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve y**2\/7 - 535390*y\/7 + 4283056\/7 = 0.\nAnswer: 8, 535382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((432\/(-15))\/6)\/((-111)\/(-740)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*j + j. Let w be ((4\/6)\/j)\/(-1). What is the nearest to -2 in -0.2, 0.1, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -2*z**4\/11 - 48*z**3\/11 + 338*z**2\/11 - 648*z\/11 + 360\/11 = 0.\nAnswer: -30, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 2 = -0*u. Let z(j) = 16*j**2. Let x be z(u). Calculate the greatest common factor of x and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 14, o: 5}. What is prob of picking 3 o and 1 p?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -9*z - 183. Calculate o(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12242 is divided by 471?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1157 - 1163. Let s(m) = -m**3 - 5*m**2 + 3*m + 4. Calculate s(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-4))\/(15\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5297 times -13?\nAnswer: -68861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13202 + -12213?\nAnswer: -32021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -8*v + 26. Solve 0 = v*g + g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.07*-0.04\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*c = -2*s + 124, 0 = -5*s - 4*c + 89 - 88 + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22346820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the third derivative of l**8\/210 + 61*l**7\/105 - 43*l**6\/15 + 71*l**5\/15 - 4*l**4\/3 - 79*l**3\/15 - 2627*l**2. Determine u, given that f(u) = 0.\nAnswer: -79, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v = 252*u - 248*u + 8, 1 = -2*v - 5*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -16*d + 87. Let o be i(5). Suppose -o*c + 3*c + 5*v + 81 = 0, 0 = 4*c - 3*v - 79. Calculate the remainder when 241 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 4213788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 55 - 273\/5. Let v = 10.97 + -1.87. Let r = -11.7 + v. Which is the second smallest value? (a) -1 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes before 8:33 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (-7)\/(28\/(-3))*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6080932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8907 - -1a2?\nAnswer: -8725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101010111001 + -1010101?\nAnswer: -101100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.7 + -5. Let q(s) = -18*s + 63. Let y be q(6). Let i be (18\/y)\/(0 - -2). What is the nearest to p in 0.2, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.06, 2, -0.4, -5, 165, -0.08, 2\/13?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d + 6*d + 2165 = 3*c, 0 = -4*d + 3*c + 4375. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = -9*q - 3*n, -13*q - 22 = -9*q + 2*n. Let s(u) = -11*u**2 - 11*u - 16. Calculate s(q).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4*d*g - 45506*d - 9*g**2 - 17029*g + 1 wrt g?\nAnswer: 4*d - 18*g - 17029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be -8038*3\/10080 - 1*-2. Let l = y - -49\/48. Let t = l + -1\/5. What is the biggest value in t, -2\/7, -4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.03 + 4.97. Let y = -1.4 - 5.6. Let k = -1370 + 1369.9. Sort y, z, k.\nAnswer: y, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/(-2)*(-8)\/12. Let f be 3 - n - (-1 - 0). Put 5, -3, f in decreasing order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1259*k**3 - 486*k**3 - 539*k**3 + (2*k**2 - 3*k**2 - k**2)*(0*k + 0*k + k).\nAnswer: 232*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 116481 and 2920548.\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -740*r**2 + 370*r**2 + 372*r**2 - 216*r to the form f + c*r**2 + u*r and give u.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 42 + 208 = 0. Suppose -3*j - 31 = -k. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -39696 at most as big as -39697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/35890 and 59\/197395.\nAnswer: 394790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 252752027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -2. Suppose 5*g + 5 + 12 = -d, 2*d + 2*g + a = 0. Suppose -d*b - 3 = -90. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190 a factor of 124683890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 417 divide 616291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1062323 or -1062436?\nAnswer: -1062323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -466, -1858, -4174, -7414?\n\"Answer: -462*u**2 - 6*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 5*p + 236, 5*p - 16 = p. Does 64 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -19292 by -742.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - -10770?\nAnswer: 1076d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -281, -599, -939, -1313, -1733, -2211?\nAnswer: -2759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*t = -41 + 33 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 7:22 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -292 = -653*h + 2973 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k**3 - 10*k**2 + 9*k + 3. Let v be z(9). Suppose -v*g - 95 = -326. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**1*k*k\/k**(4\/5)*(k\/(k*k*k\/((k**(-2\/5)*k)\/k)*k*k))\/(k\/((k\/(k**2*k))\/k)) assuming k is positive.\nAnswer: k**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 56 and 1508856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 777*-1.\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1259 - 1255. Sort d, -21, 1\/2 in descending order.\nAnswer: d, 1\/2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.078 (b) 26 (c) -353 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-8))\/(6\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 49659 + -34065. What are the prime factors of n?\nAnswer: 2, 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (n**2 - 4 + 4)*(-9 + 226*n + 20 - 13).\nAnswer: 226*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 570603427.\nAnswer: 570603427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -17579.14595 to the nearest ten.\nAnswer: -17580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 + 14. Suppose -4*v = d - 7, 0 = g*v - 4 - 6. What is the units digit of 4 - (d\/1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t + 3*t + 3*t)*(t + 1 + 0 + 1).\nAnswer: 3*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 207 + -202. Let b be 65\/260*n*4. Let k(d) = d**3 - 7*d**2 + 13*d - 4. Calculate k(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -268.8485 minus 0.9?\nAnswer: -269.7485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (224\/168)\/(3\/18). Suppose -4*g = 4*j - 452, g + 450 = 5*g + 2*j. Suppose -w*a**3 - g + 4*a**2 + 112 + 4*a**4 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 23 (base 11) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -19*l**3 - 2*l**2. Let a(k) = -19*k**3 - 3*k**2. Give -2*a(u) + 3*r(u).\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -10*u**3 - 3*u**2 + 9*u + 23. Let y(m) = 23*m**3 + 5*m**2 - 18*m - 49. Let d(h) = 7*s(h) + 3*y(h). Determine d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8*4\/(-32)*(-1)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1*427200\nAnswer: 427200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*b**2 + 12*b**2 + b**2 + 2 - 3*b**2.\nAnswer: 30*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2159\/6 + 359. Let s be (-63)\/(-462)*(-7)\/(21\/4). Put p, 2, s in descending order.\nAnswer: 2, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 PM and 4:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11473939 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-9 - -5) - (-4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -5*i - 5. Give x(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - (10 - 8)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x. Let q(a) = -a - a - 2*a. Let m(h) = -18*h - 4. Let v be m(2). Let p be (9\/15 - v\/(-25))*-3. Give p*q(f) + 10*j(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**1*d*d*d**(-3\/7)*(d\/(d*d**4*d)*d)\/(d**(-1)*d))**(-4\/7) assuming d is positive.\nAnswer: d**(68\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 less than -88500?\nAnswer: -88499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d. Let g(m) = 8*m - 4118 - 4124 + 8236. Determine g(n(c)).\nAnswer: 8*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -811\/6 + 136. Is h bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -4*g + 3. Let w be (-33)\/(-9) - 3 - (-73)\/3. Let t be (-10)\/w*5*(-5)\/2. Suppose 2*q - 4 = -2*y, -q + 4*y + 7 = -t. What is s(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p - 1. Let s(o) = -3*o**2 + 4*o + 1026. Let c(y) = s(y) + 5*x(y). What are the prime factors of c(0)?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -4*t - 5. Let p(y) = -5*y - 6. Let g be (3\/(-2))\/((25\/(-30))\/5). Let b(r) = -r**3 + 9*r**2 - r + 6. Let u be b(g). What is u*p(n) + 4*c(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-2)\/(-5))\/((-6)\/(-5)). Let l be 4 - 3 - (-4)\/(-6). Suppose -l + 1\/3*q**3 - 1\/3*q + x*q**2 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -30773\/930 and -33 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9958 is divided by 3124?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 35 - 26 = 0. Solve 0 = k*b - r - 16, -3*b = -r + 6*r - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 + 5*x + 3. Determine p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0536732 to 4 dps.\nAnswer: 0.0537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/((66\/(-36))\/11) + 0. Suppose 140 = 4*a + a. Let i = a + r. Calculate the remainder when 12 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand z**3 + 3*z - 3*z + (-3*z + 0 + 0)*(-8*z**2 - 8*z**2 + 6*z**2) - 3*z**3 - 4*z**3 - 3*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(2299)*3 + sqrt(2299) - sqrt(2299)) + (-1 + sqrt(2299)*-2)**2 + ((sqrt(304) + -1 + 5 + -2)*1)**2.\nAnswer: 93*sqrt(19) + 9506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 20 - 233111110?\nAnswer: -233111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 5*y = -u - 55, -4*u - 66 = 5*y. Is 5 a factor of (14\/4)\/(y\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 45*y**2 - 3. Let h be m(-3). Suppose 15*c - 1345 = -4975. Let x = c + h. Calculate the highest common factor of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 175441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 186 = -4*s + 2*s. Let h = 163 + s. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + x + 66 = 0, -4*x - 75 = -2*g + 57. Let p = 114 - g. List the prime factors of ((-32)\/p)\/(0 + 2\/(-564)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/96 at least as big as -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10, -25, -42, -61, -82, -105?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of -n**5\/5 + 2*n**2 - 6. Find the second derivative of q(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 37, 78, 117, 154, 189, 222?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -402431 (base 5) to base 9.\nAnswer: -18575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (6\/(-6))\/(3\/(-18)). Suppose 828 = n*g - 72. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*n - 425 = 4*n. Let h = 18 + -13. Calculate the highest common factor of h and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.094 + 23.594. Let o = j + -24. Which is the closest to 5\/6? (a) 1 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3\/2 + -5\/6. Which is the second biggest value? (a) -1\/6 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 104 and 87100234?\nAnswer: 348400936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 + -2.857. Let u = -1.15 - -1. Let h = u + k. Round h to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 80984022.\nAnswer: 2, 3, 7, 17, 101, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 + p**2 - 3*p - 1. Let o(k) = 42*k**3 - 5*k**2 + 79*k + 5. Calculate -o(z) - 5*v(z).\nAnswer: -37*z**3 - 64*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 2*f**4 - 80942*f**3 + 818910444*f**2 + 819153280*f - 1637982784 = 0.\nAnswer: -2, 1, 20236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2532, 20446, 69144, 164022, 320476, 553902, 879696?\nAnswer: 1313254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(189))\/(sqrt(12)*-1).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*p - 244 = -39*p. Solve 4*n + 0 = p*h + 12, -3*n = h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3\/211 + 18767\/844. Calculate the common denominator of 22\/12*75\/10 + -5 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 + 47*w**2 + 158*w + 36. Is k(-42) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -46 - -49. What is the hundreds digit of 3303\/15 - l*(-4)\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 4*w = -40, -w - 200 + 409 = 196 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**3 + 14*d**2 - 10*d - 39. Let f be y(13). Let n = -5 + 21. Suppose 0 = -4*k + n - 4. Solve -2*x - x + k = f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 211*c - 180 = 201*c. Suppose 3942 = -12*t + c*t. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 54 and 78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 3*a - 5*v - 19, 5*a + v = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 2*b - 12. Is k(14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-3)*t**35*(t\/(t*t**29\/t))**(-19))**(6\/13) assuming t is positive.\nAnswer: t**(3384\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*g + 2*g + 13*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5*2 - (-24 - 7728\/(-231)). Factor 8\/11 + 8\/11*i - o*i**2.\nAnswer: -2*(i - 2)*(3*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -5*f + 2*n + 2*n, -4*f - 3*n = -12. Suppose f = -5*u + 8 + 27. Solve 2*o - 2*q = 3*o - u, -5*q + 1 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9798, 20003, 30208, 40413, 50618, 60823?\nAnswer: 71028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m = 4*f - 33, 2*m = -12547*f + 12551*f - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 3.24, -0.31, 13\/37?\nAnswer: 13\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2897 is divided by 1940.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (4 + (1 - (0 - -8)) + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -3*t, j + 213*t = 210*t + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2086709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -101111100000100 (base 2) to base 3.\nAnswer: -1020100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 divided by 109.\nAnswer: 13\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 2 f, and 1 t when four letters picked without replacement from dfftffddcyetcd?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-18)\/21)\/((-10)\/350). Suppose 2*f = 34 - w. Let l be 0\/(6 + f)*2\/(-2). Solve -5 = -l*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.17 - -49.17. Let i = z + -77. Let p = i - -28.000124. What is p rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3015, -3044, -3073?\nAnswer: -3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2 (c) 0.3 (d) 0.4 (e) 0.053 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + -15. Let g = 16.92 + b. Let c = g + 0.0788. What is c rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -3*d**2 - 169*d - 3006. Give s(-35).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 253*o = 1687*o + 51624 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 6*(sqrt(49)\/(sqrt(14)\/sqrt(2)) - -2*sqrt(28)\/sqrt(4)).\nAnswer: 1 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-45)\/(-6)*(-32)\/24. Let x be (2 + 30\/t)*-5. Let o(q) = 5 - 2*q - 2 + 3. Calculate o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(833) - (-2 + sqrt(833))))**2 - (sqrt(833) - (0 + sqrt(833))*4).\nAnswer: 64 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1036 and 12173.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**2\/5 + 1496*h\/5 + 25632\/5.\nAnswer: 4*(h + 18)*(h + 356)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 13452 less than -73?\nAnswer: -13525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3160 + -947999\/300. Let d(f) be the third derivative of -f**2 + 1\/60*f**4 + 0 + 1\/15*f**3 + 0*f - h*f**6 - 1\/150*f**5. Determine o, given that d(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 - 14*v**2 + v - 9. Let a be r(14). Suppose 0 = -a*f - 0*f. Are f and -2\/57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*a**3 - 257622813882414*a + 257622813882414*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 5229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**3 - 6*c**2 + 10*c + 8. Determine k(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22160718 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (24 - 20) + 7 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 - -21. Let 17*w - 9*w**t + 11*w**2 - 7*w**3 - 25*w + 25*w**2 = 0. Calculate w.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -141 and 1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 2*s = 29, t - s = 3*t + 12. Let i(q) = -2*q**2 - 2 + 4 + 3*q**2 + 5*q. Let l(d) = -d**2 - 3*d - 1. Give t*l(u) - 3*i(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 AM and 5:00 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y**2 + 4559*y + 542805. What is b(-771)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56 divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/66409 or 3.97?\nAnswer: 3.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 768 is divided by 352?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-37)\/(1184\/64)*7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**3 - 11*v**3 + 0*v**3 + 10*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4.087824 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6001115 micrograms to grams.\nAnswer: 0.0000006001115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**6\/o)\/(o*o**(-1\/27)*o) assuming o is positive.\nAnswer: o**(82\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/1378 and -15\/16.\nAnswer: 11024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37093 is divided by 5911?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 2*p + 62 = 0, -3*k - 7 = -5*p - 68. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6740406 kilograms to micrograms.\nAnswer: 674040600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -5*r**2 - 3*r - 10. Give i(5).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12675?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -117*b**2 - 87*b**2 + 24*b**2 + 64*b**2 to the form y*b + z*b**2 + j and give z.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-15)\/(-30))\/((-33)\/(-198)). Let w(i) = 2*i - 5. Let a be w(5). Solve a*c + 15 = n, -k*n - 6 = -c - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 - 3*j**2 - 6*j - 8. What is the remainder when 54 is divided by b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 31774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30095, 60189, 90283, 120377, 150471, 180565?\nAnswer: 210659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4472*o - 4468*o = 2444. What is the greatest common factor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/4)\/(6\/(-16)). Let i(j) = 4*j**3 + 47*j**2 + 38*j + 50. Let t be i(-11). Which is the closest to -1? (a) x (b) t (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 - 11. Let x be -1*h - 40\/(-8). Solve -2*c - 4*i = -0*c, x*c = -3*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -33*a**2 + 353*a - 1. Give o(3).\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19 - -11. Let a = u + 10. Suppose a*r - 62 = -5*b + 9, 17 = b - r. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*f + 35 = -20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 3, -3*t + 1355 = -q + 3*q. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.357 - 0.043. Which is the fourth smallest value? (a) -1\/2 (b) q (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50221993, -50221999, -50222007, -50222017?\nAnswer: -50222029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + -258*8\/(-36). Let x = k + -56. Let f = -17 - -14. Which is the biggest value? (a) x (b) f (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -3\/46 (b) 6 (c) -0.07 (d) -2\/17 (e) -2 (f) -0.05 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2 + -5 - (-48 + -1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(76)\/sqrt(4) + ((-2*sqrt(152))\/sqrt(8))**2.\nAnswer: 2*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = s - 33, -4*s + 0*t + 120 = 2*t. Suppose 0 = -3*f + s - 8. Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.324669493 and 0.15.\nAnswer: -1.174669493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.7 times 399\nAnswer: -279.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 530573418 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 + -7990?\nAnswer: -798d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + d - d)*(20 - 32 + 59).\nAnswer: 94*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*d = 0. Let b(y) be the third derivative of -y**5\/60 - y**4\/24 + y**3\/2 + y**2. What are the prime factors of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 171968 and 193464.\nAnswer: 1547712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*a**5 - 2500*a**4 - 628*a**3 + 7556*a**2 + 7136*a + 1424 = 0 for a.\nAnswer: -89, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 2 - 2 - 97*p.\nAnswer: -97*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 PM and 6:52 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -11.4, 0, -1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 266347864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 2*i = -3*f + 1, 0 = i - 4. Let p be f\/((-1)\/(-176)) + -2. List the prime factors of p\/(-4)*(-10)\/(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 54253 - -12?\nAnswer: 54265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1.37, 3, 26, -2 in increasing order.\nAnswer: -2, 1.37, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**2 - 5*r - 3. Let k be d(-3). List the prime factors of 4 - 3\/9*k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -134*i**5 + 56*i - 2 wrt i.\nAnswer: -2680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 6, -10, 0.5, -474?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f**2 - 28*f + 21. Let y be d(14). Solve 3*n = -2*p - y, -p - 2*p = -3*n - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 3:36 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -68 - -68.03. Let v = -53 + 47. Let i be (3 + -1)\/((-4)\/v) - 1. What is the closest to 1\/3 in k, i, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2852 - -2794) + -4 + 81?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w. Let l(j) = -j - 25. Determine l(d(s)).\nAnswer: -4*s - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 81483 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 3, c: 8}. Give prob of sequence cct.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 357 - 357. Let r be z + -1 + 16\/(-5 - -13). Is r equal to -2\/483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -58 = 77*s - 48*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (4 - -4 - (26 + -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by 48.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7399, -7395, -7381, -7351, -7299, -7219, -7105, -6951?\nAnswer: -6751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 4*k - 24, 0 = 7*k - 11*k - 4. Solve -5*s**3 + 11*s + 4*s**2 - 7*s**2 - 12*s**2 - 5*s**5 + 15*s**t - s = 0 for s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + -1. Suppose k = -o + 2*x + 19, -7 - 1 = -4*x. Let b(d) = -12*d + 1. What is the remainder when o is divided by b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 4 - q + (4*q - 33*q + q)*(-1 + 4 - 4) to x + t*q and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(539) + sqrt(539)*2*-5)**2 + 5.\nAnswer: 43664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/371 and 24\/40439.\nAnswer: 40439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + (-30 - (20 + -101))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*i**5 - 18*i**5 + 0*i**5 - 3*i**2 wrt i?\nAnswer: -840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72052 at most as big as 72051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 192872 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: Calculate the highest common factor of 603 and 18023.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2252\/9 - -250. Let i = -0.1 + 0.6. What is the biggest value in i, 0, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19499.72 rounded to the nearest one hundred?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 19445\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**3 - 34*g**2 - 172*g + 93. Determine v(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -233 - 0?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 6) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h + 4*h - 2*h - 8*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 150 = -5*c, -2*c = 3*y + 21 - 61. Let j be (-28 + c)\/((-1)\/5). Solve -j*m = -8*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -5*j - 2*j - 5*j**2 + 3*j. Let d(s) = -s**2 - s. Let z(x) = x**3 + 6*x**2 + 4*x - 6. Let n = -10 - -5. Let k be z(n). What is k*m(u) + 3*d(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 + 97*x - 1692. Determine l(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 6:16 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 231\/1510 - 8\/151. Which is the closest to g? (a) -0.3 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or -0.0023939?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -200*b**4 + 116*b**3 + 176*b**2 - 116*b + 20. Let d(y) = -199*y**4 + 115*y**3 + 177*y**2 - 115*y + 19. Let x(l) = 3*a(l) - 4*d(l). Factor x(h).\nAnswer: 4*(h - 1)*(h + 1)*(7*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -377 - -1388. Suppose -j = -12*b - 927. Solve 0 = -h - 3*d + b*d, 0 = -h - 5*d - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*c - 4*c + c)*(4 - 4 + 1) - 1 - c + 1)*(283 + 79*c**2 + 158*c**2 - 283).\nAnswer: -948*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Do 31164 and 93491\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 6:35 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 6c (base 15) to base 12\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -159*u**3 + 14*u**2 - 4*u - 214. Is i(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m*m\/(m*m**(3\/5))*m**(-2)*(m\/((m\/(m\/m**(1\/4))*m)\/m))**(-4\/9)*(m*m**(1\/11)*m*m**(-6)*m)\/((m*m**(-3))\/(m**2*m)) assuming m is positive.\nAnswer: m**(26\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 158417775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 8, 7, 6?\n\"Answer: -v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - h + 0*h + 0*h)*(6*h**4 - 2*h**4 + 0*h**4).\nAnswer: -4*h**5 + 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -272156023.\nAnswer: 816468069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1590255*o + 2149524?\nAnswer: -1590255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -264*q = -284*q - 960. What is the closest to 2\/5 in -0.1, q, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1972 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 8*f**2 - 1. Let k be s(-1). Suppose 12 = 22*m - 20*m. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -378 - -384. Let h = -15 - 28. Let i = -43.06 - h. Is d at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*a = -16*a + 5, 6 = l + 2*a. Let i(v) = 82*v**2 - 4*v - 21. List the prime factors of i(l).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2a3 - 521?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -2, 2\/3, 8, 4\/5 in descending order.\nAnswer: 8, 4\/5, 2\/3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 8661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*a + 75 = -35*a. Let c = 9 + -33. Let d = c + 249. Calculate the highest common factor of d and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 734.8899 millilitres in litres?\nAnswer: 0.7348899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -16*j**2 + 97*j + 8. Calculate the remainder when 276 is divided by h(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 + 68*z**2 + 363*z + 138. Give s(73).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u + 17 = -2*z + 2, -12*z = -4*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g = -u + 25, 0 = g + 4*u - 11 + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 10054458 by -29399.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18 - 16. Solve b*x + 5*d + 20 = 3*x, d + 4 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and -20.59?\nAnswer: -4.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1943734814?\nAnswer: 2, 7, 17, 480409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, 756 in descending order.\nAnswer: 756, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 351 - 351 - 7*w + 18*w**2 + 67*w**2 + 7*w.\nAnswer: 85*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2510.2 + -2510. Which is smaller: 6136\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 12 (b) 2\/5 (c) -0.04 (d) 14\/3 (e) 271 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c = -5*c + 8400. Is c a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1161 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -5*g - 134. Let u be h(-26). Put 7, 1, u, -5 in ascending order.\nAnswer: -5, u, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44961 divided by -3?\nAnswer: 14987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/2*(-18434)\/(-104). Let w = 773 - t. Calculate the remainder when 186 is divided by w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.56792 - 322082383.\nAnswer: -322082385.56792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 5, t: 2, n: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -6*z**2. Let w(q) = q**2 + 5. Let v(n) = -3*n - 10. Let c be v(6). Let t = c - -25. Let p(o) = -3. Let r(k) = t*w(k) - 5*p(k). Give h(r(l)).\nAnswer: -54*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 4*q - 13. Let v be j(4). Suppose n + 3*a = -v, -3 = 2*n + a + 2*a. Suppose r - 5 = -2. Solve n = -5*d + t + 14 + 11, 3*t + 15 = r*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10231*o**2 - 19197*o**2 + 8952*o**2 + 2.\nAnswer: -14*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/3)\/(2592\/(-54))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 7. Which is smaller: -4\/3 or b?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*h - 30384 - 82611 = 0. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 458769 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2239 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 260 + -260. Let t(g) = g**3 + g**2 + g - 9. Determine t(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.04 (b) 161 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 + -16.06356.\nAnswer: -15.56356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 144 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8611169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/13))**(-2\/17))**(-1\/47)\/((s\/s**(-1)*s)**(-2\/5)*(s\/s**(-2\/5))\/(s**(2\/11)\/s)) assuming s is positive.\nAnswer: s**(-581892\/571285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-70)\/3 - (-2)\/(-3). Let x(l) = -8*l. Let m(t) = -106*t - 124*t + 440*t - 127*t - 123*t. What is r*x(h) + 5*m(h)?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -465317*o**2*u**3 + 81*o**2 - o*u - 2*o + 70563 wrt u.\nAnswer: -1395951*o**2*u**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4 + -3)*12\/(-14). Solve q = -2*g - k, 0 = -2*q - 3*g - 6 - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/3)*l)**(2\/17) assuming l is positive.\nAnswer: l**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d*d\/d**14*d)*d\/(d\/(d\/(d*d**(-7\/10)*d))))\/(d**(1\/10)*d)**(6\/17) assuming d is positive.\nAnswer: d**(1923\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fdwfzz. What is prob of picking 1 w and 2 f?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 147 = 22*g - g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of 9 + (-7335)\/(-36)*2*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -18*h - 2. Let k be x(-6). Suppose 5*b + 4*a - k = 0, 0*b - a = -b + 23. Let v(w) = -w + 14. What is the lowest common multiple of b and v(0)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -28\/39 - -179\/195. Sort -5, n, -0.4, -112 in decreasing order.\nAnswer: n, -0.4, -5, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9396508 + -4066508. What is d rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 5\/6 (b) 2 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*m + 8255 = 29*m. Let l be 0\/1 + 4 + (-2032)\/m. What is the closest to 0 in l, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(425) - (3 + 0 + sqrt(425))**2 - sqrt(425))*3 + -3 + 2 + sqrt(425) + sqrt(425)*-2.\nAnswer: -1303 - 95*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - 9599?\nAnswer: -9593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of k**6\/144 - 13*k**4\/3 + 13*k + 3. Let g(i) be the third derivative of m(i). Let b(w) = 4*w**2. Give b(g(n)).\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 10:49 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 13*k - 3. Let u(d) = 3425518*d. Determine h(u(r)).\nAnswer: 44531734*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, e: 1, s: 1}. Give prob of sequence te.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -f + 2*i - 3 = 0, -2*f + 0 = -3*i + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -622*v**2 - 2. Let i = -4 - -1. Let q be m(i). What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.20898 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1634 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 55038*k*z**3 + k*z - 2*k - 223703 wrt z?\nAnswer: 165114*k*z**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -400.7 + 401.7972. Let m = 0.0972 - q. Which is the third biggest value? (a) -3\/7 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (0 - (-6 - -16) - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2066.6 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*c + 1096953 - 1097561 = 0 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -16.1, 1, -129, 0 in descending order.\nAnswer: 1, 0, -16.1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j. Let h be ((-13)\/13)\/(2 + -2 - 1). Let n(q) = 4*q - 25. Let w(a) = h*n(a) - 2*c(a). Let p be w(9). Let m(i) = i**2 + 7*i - 1. Give m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9\/14 - -3\/14. Let o = -0.06 - -0.05. Let c = o + -0.09. What is the closest to c in 0.2, -1\/9, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - -16 - (-26 + 33) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*o - 541*o**3 + 1611*o**3 - 526*o**3 - 543*o**3 - 4*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 3*p - 46. Suppose -j + 3*j - 2*l = 10, -4*j + 5*l = -p. Suppose -6*q + 564 = -j*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*t + 82 = -4*x, 0 = -58*t + 60*t + x + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1056, -853, -516, -45, 560, 1299?\nAnswer: 2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**2 - 1240*n + 26880.\nAnswer: 5*(n - 224)*(n - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + 12*h + 247. Calculate r(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7296504 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -1729 at least -1710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 8*t**2 - 94*t + 115*t**3 - 114*t**3 - 739 + 738 in the form k*t**2 + f*t**3 + v + g*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 93 = 5*g, 6*l + 5*g - 93 = 7*l. Does 5 divide (-15)\/(-2)*(-682)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/9, -3, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 654.27 + 510478081.\nAnswer: 510478735.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3111518 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.899 + -0.531. Round v to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 16) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -111*r - 126*r + 279*r - 420 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, 139819, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100111001011 - 1001111?\nAnswer: -101000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 68\/333 and 121\/2664.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 - 22*j**2 - 6*j + 33. What is the tens digit of r(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4446662053 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 3*c**2 - 5. Calculate the smallest common multiple of 8 and p(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (41*-7 + 2)*(-6)\/5?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -50*c**3 - 2*c**2 - c + 1. Is s(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -466, -1108, -1942, -2968, -4186, -5596?\nAnswer: -7198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*r - 17*r + 0*r + 0*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12288004?\nAnswer: 2, 3072001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16711 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 4*v**3 - v - 3. Let x(d) be the second derivative of d**5\/4 - d**3\/3 - 3*d**2\/2 + 3073*d. Give 3*f(i) - 2*x(i).\nAnswer: 2*i**3 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 61 = 85. What is the least common multiple of 146 and h?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -401 times -5?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1+-0.507\nAnswer: -1.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 35 (base 11) in base 13?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -1 + 35\/6*l**3 + 10*l**2 - 2*l. Differentiate c(t) with respect to t.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - -3 - (-2 + 7 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 9.140412 millennia?\nAnswer: 914.0412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -131 + 198. Let i = -61 - -29. Let h = i + f. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2*(1 + -3 + 1). Solve -3*v = u + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 159, 157, 155, 153, 151, 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.57516736+3\nAnswer: 2.42483264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the second derivative of 40*s**4\/3 + 13*s**3 - 2*s - 29. Find the second derivative of i(c) wrt c.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*u + 28 = 72*u + x, 6*x - 14 = 2*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -149.72 + 147. Let f = h + -2.28. Let v be (2\/(-3))\/(4\/9). What is the second biggest value in f, v, -0.05, 2\/15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 302 and 204603 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2234*s + 1090*s + 1141*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -10*j - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4, -16, -50, -98, -160, -236?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(1\/2)\/k)\/k)\/k)**(-5\/6)\/(k**1)**(-7\/8) assuming k is positive.\nAnswer: k**(71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + ((-18)\/(-144) - 367\/(-72))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zdthqzx. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-6)\/8 + (-3555)\/(-20)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.1 - 2.1. Let u = -7 - -4. Let a = -2.9 - u. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4515 + 4515 + 18*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be -52771*1\/(-24060) - 9\/108. Let y = 4\/401 - t. Let b = -3 - -2. Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/288 and 37\/3984?\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 81 and 615.\nAnswer: 16605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = 5*i - 7. Let q(t) be the second derivative of t**3\/6 + 5*t**2\/2 + 2*t. Let d be q(i). Sort 3, d, 1 in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -42*d**3 - 6*d**2 - 4*d + 25. Is c(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*g**3 - 87*g**3 + 50*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*z - 0. What is the least common multiple of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-608)\/2736 - ((-13)\/(-63) - 0)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -2*d. Let c(i) = -97*i**2 + 94*i**2 - 51*i**2. Calculate b(c(g)).\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, e: 2, b: 12}. What is prob of sequence wbe?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 + b - 3. Let t be c(-3). Suppose 10 = 5*w - w - 2*z, 0 = 3*w - t*z. Let y be 10\/(-3)*(-39)\/26. Is w != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(200))**2 + 0.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 20 = -3*s + 3, 5 = s + z. Let b(a) = 6*a + 3. List the prime factors of b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37977480 divided by -8?\nAnswer: -4747185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -48 + 88. Suppose 3*q + 3 = -0*v - v, q = -4*v + 21. Suppose v*c = 7*c - 14. What is the remainder when h is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/875196 and 145\/252.\nAnswer: 875196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91038634.\nAnswer: 2, 89, 511453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = 3*l + 1 + 8, 5*s = 0. Let m = -167 + 331. Let d = m + -163.8. Which is the third smallest value? (a) d (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 8*w**3 - 2*w**2 - 16*w - 10. Calculate the remainder when x(5) is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20, -201, -542, -1043, -1704, -2525?\nAnswer: -3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1489353845.\nAnswer: 5, 7, 23, 1850129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 4*a**2 - 19*a + 64. Calculate v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10*x**5 - 7*x**4 - 5*x**3 - 7*x**2 - 132*x wrt x?\nAnswer: 600*x**2 - 168*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -44\/5010997 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 41096 and 216.\nAnswer: 1109592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12358 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of 9*i**4\/4 - 104*i**3\/3 + 223. What is the third derivative of z(q) wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-6))**(3\/16)*g*g**(-11)*g*g\/(g*g**(-4\/13))*g assuming g is positive.\nAnswer: g**(-917\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 - -2. What is the first derivative of s + 4 - 4 - m + 0 wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/10*(-15)\/(-9). Let k = 49 - 35. Let h = -8 + k. What is the third smallest value in 5, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 1:04 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 57 - 34. Let k = x - 130. Let r = 107.00069 + k. What is r rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 10 = 2*x, 0*x = -5*d + 3*x + 18. Let h = d + -2. Let z(m) = 8*m**2 - 9*m. What is the least common multiple of z(2) and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) + 3*sqrt(84))\/sqrt(4)*-3)\/(sqrt(24)\/(sqrt(56)\/(sqrt(7) + sqrt(42)\/sqrt(6)))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-64)\/(-80) - 28\/10) + 5. Let m(h) be the first derivative of -5\/3*h**3 - 3 - 6*h + v*h**2. Let g(k) = 9*k**2 - 11*k + 11. Give 6*g(b) + 11*m(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, x: 2, a: 1, s: 1, o: 1, z: 1}. What is prob of sequence zs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zbkmnkzdd. What is prob of sequence kkm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1032331 (base 4) to base 11.\nAnswer: 3884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13391 is divided by 3347.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1540\/(-35)*18\/24*((-56)\/44)\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 27 - 25. Let w(k) = -18*k**3 + 17*k**3 + 0 - 8 - 16*k - 15*k**q. Let m be w(-14). Which is bigger: m or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**3 + 5*j**2 + 5*j + 5. Let r be p(-4). Let s be 3 + (-206)\/77 - r\/7. What is u in 2\/11*u - 2\/11*u**3 + 2\/11*u**2 - s = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of s**5\/60 + 2*s**2. Let g(q) be the first derivative of 1 - 2\/3*q**3 + 0*q**2 + 0*q. Give n(g(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 176*n**3 - 401?\nAnswer: 528*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 175\/(-4) - (84861\/252)\/(-449).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -400*s = 104198 - 73798 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -21428\/5 less than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12375.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2154 - -2144.84. Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21*s**3 - 10*s**3 - 13*s - 8*s**3 wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 33 + -64 - (1 + -19)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -104*u**2 + 1352*u - 34. Give d(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**2 - 9*j - 2. Let m be z(5). Suppose 0 = -m*o + 302 + 19. Let n = o - 67. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -199 + 197.77. Let o = -1.1 - n. Let c = o - -0.37. What is the biggest value in c, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(0 + sqrt(38)\/(sqrt(50)*-1 - sqrt(50)) + (3*1*sqrt(76))\/(sqrt(4)*2*-2)))**2.\nAnswer: 5491\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - w = 328001, -4*w + 8108 = 4*o - 254264. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1351 - 1335. Solve -3*u + m + 0 = 9, 4*m - o = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 4, 7600, 1, 0.\nAnswer: -5, -4, 0, 1, 4, 7600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -7. Let z be (-2)\/(-7) + (-6728)\/28. Let j be (-3)\/(((-6)\/z)\/(2\/(-6))). Calculate the highest common divisor of v and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1412 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 8 = 23. What is the second biggest value in -4, d, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.12 + 8.88. Let t = -81223.0022 + 81214. Let p = l + t. What is p rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -14*10\/(-420)*9. Sort 11, -2, m, -1 in descending order.\nAnswer: 11, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-18) + 24\/135. Which is the closest to -1? (a) -5 (b) j (c) -3 (d) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -30*n**2 - 21*n - 21. Let p(x) = 3*x**2 + 2*x + 2. Let y = -30 + 50. Let j = 25 - y. Suppose -1 - j = -3*m. What is m*t(b) + 21*p(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 3*x = 10, 2*x + 2*x = -4*t - 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of -a**4\/24 + a**3\/6 - 59*a**2 + 5. Let s(o) = 2 - 1 - 4 - 7 + 10*o - 2*o**2. What is -2*s(n) - 20*y(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**7\/2520 + 3*u**5\/40 + u**4\/24 - u**2. Let j(v) be the second derivative of h(v). List the prime factors of j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/4, 63677, -9?\nAnswer: 63677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-46)\/(-8))\/(1\/8). Suppose -76 = 2*o - 21*o. Suppose -o*s + j = -2*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**1\/h))**38\/(h*h**(-2\/7)*h*h)**(-48) assuming h is positive.\nAnswer: h**(1178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2bbd (base 15) to base 16\nAnswer: 24bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1538 and 79207?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*6*(3*sqrt(56)*-2)\/sqrt(8).\nAnswer: -180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*x - 2*x = 84945. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -4, -12\/13, -2\/5, -2\/3, -7 in decreasing order.\nAnswer: 14, -2\/5, -2\/3, -12\/13, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14937?\nAnswer: 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -5 + 3*u**2 + u**3 + 0*u**2 + 4 - 3*u. Let h be y(-3). Let o be 2 + -3 + (-24)\/(-1). Solve -3*l + o = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -40 + 38. Let z(w) = w**3 + w**2 - 3*w - 1. Calculate z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from umrrrvqrqm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 35199, 143547, 325047, 579699, 907503, 1308459?\n\"Answer: 36576*z**2 - 1380*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the second derivative of w**7\/63 + w**6\/45 - w**5\/6 - w**4\/18 + 8*w**3\/9 - 4*w**2\/3 - 861*w. Suppose s(c) = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/n**(-2))**(2\/37))**(-16)*(n**(-1\/6)\/n*n**(-8))**(-7) assuming n is positive.\nAnswer: n**(13477\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -74 - -127. Suppose 2*w - f = -11. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 6:37 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-426))\/((-129)\/(10836\/112)).\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8\/12)\/((-2)\/(-6)). Suppose l - z*l = -2. Calculate the lowest common multiple of l and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 3*r = -77, -5*r + r = -4. Let d = m + -1. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of -s**3\/3 - 3*s**2 - 4*s - 30. Let w be k(-4). Solve -4 = w*v - 0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*a - 4*o - 8, 2*a = 236*o - 238*o - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 5 = 5*w, 2*o + 2 = -4*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -3*3*((sqrt(180) + 0)*-1 - (sqrt(180) + -4*(sqrt(180)*3 - sqrt(180))))*2)**2.\nAnswer: 2099520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/77, 6, 1, -5, 0, 9, 1\/3 in descending order.\nAnswer: 9, 6, 1, 1\/3, 2\/77, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6011, -47984, -162041, -384266, -750743, -1297556, -2060789, -3076526?\n\"Answer: -6014*n**3 + 42*n**2 - n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 338269 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence or when two letters picked without replacement from rrro?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 487, 0.81, -3?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2894 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(343) - (1 + sqrt(343))))**2 + -4 + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 1381 divide 1030397244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4.855 + 15.255. Let g = a - -0.39. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110111110100 + -1001111001?\nAnswer: -1000001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (8052\/61)\/(4\/94) is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b*b*b**(-16))**20)**(-17))**(1\/8) assuming b is positive.\nAnswer: b**(1105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 7:31 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 147970 and 19724401.\nAnswer: 197244010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -46*g**2 + 0*g + 7*g - 7*g as m + q*g**2 + o*g and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/11 and -79\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -4, 3\/578, -0.2, -2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -342 + 342.0652. Let z = d + -0.059. Round z to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 60*d**2 + 78*d**2 + 57*d**2 + 219*d**2 - 7*d**3.\nAnswer: -7*d**3 + 294*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3528180\/168260 + -21 - ((-8)\/(-470))\/((-144)\/360)?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2637948, -2637948, -2637956, -2637978, -2638020, -2638088, -2638188?\n\"Answer: -m**3 + 2*m**2 + m - 2637950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 994, 3050, 6482, 11296, 17498, 25094?\n\"Answer: i**3 + 682*i**2 + 3*i + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from kmfoooko.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/1*27\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(6) + sqrt(12)\/sqrt(2)))\/sqrt(2).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3 + (40\/(-4))\/(-2). Suppose h*y = y. Solve -n = -y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - 9*y - 2*y**2 + 2*y**2 - 6 - 7*y**2. Suppose 0 = 5*t - 4 + 34. Calculate q(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 561 and 306?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 117\/28619900 and -157\/257579100.\nAnswer: 257579100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*r + n - 35 - 45, -4*n + 160 = 4*r. Suppose -24 = -r*o + 32*o. Solve h + o*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - p = 0, 6*p = 4*n + p. Solve n*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of 5*t**3\/3 - 25*t**2 + 2*t + 3. What are the prime factors of g(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - -1) + -2 - (6 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 299 + -233. Calculate the remainder when 146 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 4*l - 12. Suppose 0 = -q + m + 17, -2*q + l*m + m + 19 = 0. Calculate the smallest common multiple of 3*8\/(-6)*-2 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 201188*b**2 + 359908.\nAnswer: 402376*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence scx when three letters picked without replacement from {z: 2, v: 1, c: 1, s: 2, x: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (812\/609)\/((-1)\/(-9)) - 42\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of 0*w + 12*w**2 + 28\/3*w**3 + 3 - 5\/2*w**4. What is the first derivative of u(v) wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = 4*u - 2*s, 5*u + 3*s - s = 99. Suppose -u + 12 = -9*c. Which is greater: c or 3\/134?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -37*f**2*n + 1015*f**2 + 9*f*n + 8*f - 14*n - 6 wrt n?\nAnswer: -37*f**2 + 9*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 208, 768, 1696, 2986, 4632, 6628, 8968?\n\"Answer: -i**3 + 190*i**2 - 3*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -2\/5 (c) -1\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(156) + sqrt(156) + sqrt(156)*-3 - sqrt(156)) + 1*sqrt(156)*4)\/(sqrt(960)\/sqrt(5)*-2*2).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 3*p - o - 21 = 0, -5*p - 4*o + 46 = 0. Suppose -5*a + p = 2*w - 11, -a + w = -7. Solve 0 = -0*r - r - 4*m - 15, -3*r + a*m = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/10 and (-5 - -3) + (-24)\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 19*w**3 + 103379*w**2 + 103369*w**2 - 206748*w**2.\nAnswer: -19*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) 0.4 (b) 676 (c) -1 (d) 5\/161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42834.\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 970 and 98080.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of 171*k**4\/4 - 533*k**3\/3 + 621*k**2. What is the first derivative of l(c) wrt c?\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18 + 25. Suppose x = 2*c - 1. Suppose -c = -k - 1. What is the nearest to -1 in 2, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from mmppmmppqwmvwmwppqp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -91 + 95. Sort -53, 0, j in decreasing order.\nAnswer: j, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4\/2 + (-296)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -14 - 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 167 divide 154258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 82\/627 and 50\/171.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 19 = -8*s + 5*s, 0 = -s - p + 8. What is the least common multiple of 6\/1*8*s\/56 and (222*-1)\/((-2)\/4)?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3283 is divided by 57?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9.39 + -9.2. Which is the nearest to -1? (a) 2 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 4, -639, 2, 5 in descending order.\nAnswer: 17, 5, 4, 2, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000054268 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3476 + 486. List the prime factors of b\/(-4)*(-220)\/(-275).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 795514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 25 + 2\/(0 + 2). Suppose 31*x - t*x - 20 = 0. Solve 0*d + 8 = x*d - 2*l, -4*d - 2*l + 24 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -142768 - -15967718.\nAnswer: 15824950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-663)\/(-9) + (-38)\/(-95)*(-250)\/(-75).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00100640811 to seven dps.\nAnswer: 0.0010064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o + 6*o = -18. Let m(v) = -v**3 + 10*v**2 - 7*v - 12. Let q be m(o). Let y be (q\/(-2))\/(1\/(-3)). Solve 2*t + 1 = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(7) - (sqrt(7) + (sqrt(7) + -2)**2)))*6.\nAnswer: -84 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 0*f = 0, -2*f = -x - 6. Let q(s) = s**3 + 7*s**2 + 5*s - 3. Let p be q(x). What is the units digit of 2 - -2*p\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -31 - 9*c - 2*c + 24 - c**2. Let p be k(-10). What is the highest common divisor of 27 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**2 - 68*z + 783. Let f be i(19). Put 3\/7, 5, f in ascending order.\nAnswer: f, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 50.57 + -0.57. Let u = -49.999999916 + s. Round u to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -9*z + 9*z - 6 - 6*z**2 - 5*z**3. Let d(o) = 14*o**3 + 17*o**2 + o + 17. Let a(w) = -3*d(w) - 8*u(w). Determine a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16717886*m + 16717912*m = 494 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 - 18*u**2 + 42*u - 39. Let a be j(16). Let i = 421 - a. Does 75 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - (-10 - -6) - 1) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 33*q**2 + 11*q + 74. What are the prime factors of b(-11)?\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times 61?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(22)\/(-5*sqrt(11)) + 2 + ((sqrt(154) + (sqrt(154)*-3 - sqrt(154)))\/sqrt(11))\/sqrt(7)*1.\nAnswer: -16*sqrt(2)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u = 32 - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 + 3249498600*o**3 - 6498997203*o**3 + 3249498607*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q. Let a be -5*(0 - (-48)\/(-20)). Suppose 5*r + 5*t - a = -2, -3*r - t + 6 = 0. Let n(v) = -42*v + 3*v**r + 42*v. Give l(n(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104)*4 - (sqrt(52) - (sqrt(260)\/sqrt(5) + sqrt(52)))\/sqrt(2))\/(sqrt(2450) + 5*sqrt(2450))*4.\nAnswer: 6*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from eerreejhjjheeeh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.013 + -0.413. Let j be ((-2)\/(-6))\/((-33)\/9)*1641. Let k = j + 149. Sort r, 5, k in descending order.\nAnswer: 5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20168, -80893, -182166, -323987, -506356?\nAnswer: -729273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 3*a + 93 = 0, -37124*p - 118 = -37128*p - 5*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**3 - 9*w**2 + 15*w. Let a be q(7). Suppose 0 = -5*g - m + a, 5*g - 2*m - 294 = g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 74963 divided by -6\nAnswer: -74963\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 57388, 114701, 172026, 229369, 286736, 344133, 401566?\n\"Answer: p**3 + 57306*p + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -27 + 15. Let f = 9 + j. Let o(h) = -h**3 + 5*h**2 + 2. Let p(q) = -2*q**3 + 6*q**2 - q + 2. Let u(i) = -3*o(i) + 2*p(i). Calculate u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27780922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4320 and 20516760?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 3, -1, 4.\nAnswer: -8, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1119000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 48 = -7*i. Suppose 3 = 3*l, l + 272 = -7*r + i*r. What is r rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + w**2 - w - 4. Let c be i(-2). Calculate the greatest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-15300)\/(-78) - (-10)\/(-65). Let l = -183 + z. Solve 0 = -7*d + l + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 735094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t - t + 0*t - 4 + t**2 - 2*t. Is s(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 + 9*j**2 - 9*j + 11. Let o be h(8). Let m = o - -2. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - -182703.\nAnswer: 182703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tewt. Give prob of picking 1 e and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 429 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 51.9 - 1.9. Let b = l - 50.021. Let x = -0.0210482 - b. What is x rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -93*t**3 + 7*t**2 + 35*t - 9. What is the thousands digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 133 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2.72 - 1603?\nAnswer: -1600.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1))**(-12\/17)*(b*b**(-2\/9)*b)\/b*b**(-5\/6) assuming b is positive.\nAnswer: b**(199\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 395310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -114 - -58?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 6*i**2 - i + 0*i**2 + 0*i + 1. Let v be k(-2). Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 1 - 2 - 12*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -473*c**3 - 4*c**2 + 378. Let y(f) = -1418*f**3 - 14*f**2 + 1134. Let k(p) = 7*h(p) - 2*y(p). Find the first derivative of k(r) wrt r.\nAnswer: -1425*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -3*n**3 - 3*n - 11. What are the prime factors of y(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 12*b. What is the least common multiple of (-6)\/9 + (-62)\/(-3) and k(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 1 + 13)*(-3*v**2 - 2*v**2 + 0*v**2) - 378*v**2 + 3322*v - 3322*v in the form y*v + c*v**2 + z and give c.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1121 - 31232?\nAnswer: -30111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 6986033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -780000000 = 57*d - 51*d. Round d to the nearest one million.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16043 is divided by 15752?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(((-858)\/(-24))\/(-11)*4).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6 or -1335?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from llmmmggmmgmglmlm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*g**3 - 3*g**3 + g**3)*(-6 + 0 + 8)*(-7 + 3 + 2).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**3 + 12*n**2 - 17*n - 50. What is s(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6 + 9 - -7)\/(4\/136). Calculate the greatest common divisor of 80 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 2022 (b) -4 (c) -0.3 (d) -2\/7 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 371 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -3*t**2 + 1. Let b = 23 - 23. Let h be 2\/(6\/(b - 3)). Calculate w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*m**3 + 6*m**3 + 29*m**3.\nAnswer: 70*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 22 + 2\/11*b**2 + 4*b.\nAnswer: 2*(b + 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -1207*g + 2413*g - 1203*g. Let a(k) = 12*k. Determine p(a(h)).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/534064 and -111\/4339270.\nAnswer: 34714160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**3 + 4*l + l - 3*l + 4*l + 1 - 5*l. Let g(f) = -f**3 - 6*f**2 - 4. Let c be g(-6). Let n = 3 + c. Give u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 + 4*v**2 - 3*v + 2. Let d be h(2). Solve -4*f - d = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 607645046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5 + 6 + -3)\/(-1). Suppose -f = 3*f - 4. Let h = f - -4. Solve -10 = y*b - 6*b + h*s, 2*s + 4 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 177083*m**4 + 906*m - 33 wrt m.\nAnswer: 2124996*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 0.063537.\nAnswer: 3.936463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be 12\/8*1\/(3\/220). Suppose 918 - b = 4*y. List the prime factors of y.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2*r**3 - 20*r**2 - 31*r + 17. What is k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 16 = -4*r, -v - 3*r = 574 - 562 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(1\/4)\/b)**(1\/41)\/(b**(-1\/2)\/b**(2\/13)) assuming b is positive.\nAnswer: b**(1407\/2132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 144002409.\nAnswer: 3, 31, 37, 41849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/(2*sqrt(20)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 - -5.5. Put -0.1, c, 5 in descending order.\nAnswer: 5, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*o + 32 = -15*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 1 (c) 0.1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*t**4 - 8348*t**3 + t**2 + 29*t + 23434 wrt t?\nAnswer: 36*t**2 - 50088*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - 7*u**2 + 5*u + 21. Let f be j(-8). Let v be (-120)\/f*(-3)\/22. Which is the third biggest value? (a) -0.4 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 30298952*d**3 + 7*d**2 - 2808168*d wrt d.\nAnswer: 181793712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.16? (a) -2 (b) -4\/9 (c) -47 (d) -0.2 (e) 849 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n. Let f be 3 - (7\/(-7) - -2). Let x(a) = -6*a + 35*a**2 - 61*a**f + 22*a**2. Give x(p(d)).\nAnswer: -4*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*n**2*p**3 + 93245*n**2 - n*p**3 + 23*p with respect to p.\nAnswer: 24*n**2*p**2 - 3*n*p**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 74\/72 + ((-134)\/(-536) - (-6)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f + 15*f + 8*f)*(-12 + 15 + 2*f + 8)*(-f**2 - 2*f**2 + 5*f**2).\nAnswer: 80*f**4 + 440*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of -3*n**4\/2 - 76*n**3 - 7639*n**2 - 9017. What is the second derivative of l(q) wrt q?\nAnswer: -36*q - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 22674?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.97 - 28.83. Let j = a - -4.8. Let s = j + 26.00000095. What is s rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2 + 10*w - 14. Let b be t(-10). Let c = b + 21. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-2)*(-11 + 11). Let x be (0 + 0)\/(3 - m\/1). Suppose c - 1 = x, 4*u + 49 = 3*c - 2*c. Is u at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*v - 12*v - 2*v + 78*v**3 + 9*v - 194*v**3 + 101*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 7\/2, -174888, -0.2, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -55 + 137. Suppose -2*r - 41 = -2*q + 7, -3*q + r = -d. Suppose 4*a = -5*x + q, -3*a - 3*x + x = -20. Solve -3 = -3*o + a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*g - 3 + 3)*(2 - 3 - 1 + (4 - 5 + 0)*(-7 + 2 - 1) + 0 + 3 - 1).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-17760)\/84)\/10 - -20.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -25*g - 10*g + 56*g + (-2*g - g + g)*(-31 - 32 - 68).\nAnswer: 283*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3afa + 4e0?\nAnswer: -361a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -122 + 119. Suppose -6*f = 7*f - 65. What is the smallest value in -1\/3, -3\/7, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u - u - u)*(2 + 2 - 3) - 13 - 10*u - 20 + 41.\nAnswer: -9*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (363 + 10)*(436 + 13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, q: 2, g: 1, p: 4, f: 2, k: 1}. Give prob of sequence gq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*n = -3*n - j - 8, -5*n - 2*j - 65 = -10*n + 28*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 3*r + 45 = 0, -3*z - 2*r = r - 36. Let x(l) = -l. Let s be x(0). Suppose s = -3*f + z. Solve -f*a + 0*a = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of w**5\/60 + 12*w**2. Let n(s) = -2*s**2. Calculate n(q(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -78255 by 15.\nAnswer: -5217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 345 - 344. Sort -32, y, 6 in increasing order.\nAnswer: -32, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 + 2 + 0 - 1) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 2*o - 297, -235 = o - n - 385. Calculate the remainder when 406 is divided by o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the first derivative of -17*s**2 - 16*s - 61. Let a be n(-2). Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1355 <= 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 13012, 52070, 117184, 208354, 325580, 468862, 638200?\n\"Answer: 13028*w**2 - 26*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**2 - 13*a - 14. Let r be k(14). Suppose -4*i - 36 - 40 = r. Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w + 1. Suppose -2*v + 8*k - 4*k = 0, 0 = -2*k + 10. Let c(p) = -p + 13. Let s be c(v). Let f be b(s). Solve f*o = 7 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 314 from 0.1.\nAnswer: -313.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3\/3 + 2*o**2\/3 + 2*o\/3 - 2\/3.\nAnswer: -2*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 159347762 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 25 + 28*p - 68 - p - 80 + 38*p. Let x be y(2). Solve 2*c + 10 = -4*o, 5*c + x = 3*c - 3*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4255 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate k*q**2*x + 54153*k*q**2 + 8*k*q*x**2 - 327*q**2*x**2 - 627*q**2 wrt k.\nAnswer: q**2*x + 54153*q**2 + 8*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 11*v**2 - 65*v + 23. Let s(b) = -b**2 + b + 1. Let r(d) = -s(d) - x(d). Factor r(o).\nAnswer: -2*(o - 6)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.07 (b) 3 (c) -4\/5 (d) -2\/9 (e) 0.1 (f) 3\/11 (g) 0.4642\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1306289.6 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -263*r = -3*a - 259*r + 5, -a - 3*r = -19 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 5*j - 4. Let h(s) = s**2 - s. Let g(c) = -h(c) + q(c). Let u be (-120)\/50*10\/(-4). What is g(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 + 52. Suppose 3*h - 6 = 3*m - 57, 0 = 3*m - 4*h - i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sdhhpsppd. What is prob of sequence dp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 40 - 37.7. Let r = d - 2.3. Which is the nearest to -2\/5? (a) r (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1082494 is divided by 51541.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 7*c**3 - 6*c - 6. Let b(u) = 6*u**3 - 5*u - 5. Let t(z) = -4*b(z) + 3*g(z). Let p be t(4). Let m = 75 - p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 40.63 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 4 + 0)*(-2 + 2 + d) + d + d - 4*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2222 + 88376?\nAnswer: 86154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(72) + 4 + -2 - sqrt(72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/5 (c) 1 (d) -2237.582\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 717 + 1300 + 918 - 2935 - 5*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 607*h + 650*h + 31425 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 3*x = 68. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/33, 8369\/2, -0.2?\nAnswer: 8369\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 892 + -1506. Let l = y + 609. What is the smallest value in -1, -0.08, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -1\/5 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 67*n**2 - 44*n**2 + 78*n**2 + (n + 0*n + n)*(-n + 0*n + 0*n) - 9*n**2 - 19*n**2 + 6*n**2.\nAnswer: 77*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 153 a factor of 35037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**2 + 425768*o - 110114400.\nAnswer: 4*(o - 258)*(o + 106700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2131 - 1015. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 455 + 1212?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of p**4\/8 + 5*p**3\/6 + 2*p**2 + 2*p + 4. Find g, given that t(g) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 3*f + f + 18 = 0, 3 = 2*o - f. Let p be o\/(2 - 15\/7). Solve r - s + 0 = -3, 0 = -2*r + s - p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2167 * -0.00953.\nAnswer: -20.65151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h**2 - 830*h + 835 = 0. Calculate h.\nAnswer: -167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 52 and 923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, a: 3}. Give prob of picking 2 a and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*699305.\nAnswer: -2097915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 3 + -2*(sqrt(68)*5)\/sqrt(4).\nAnswer: -10*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -4045*v**3 - 9*v**2 + 8*v - 8. Let k be t(4). What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:04 AM and 1:05 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -0.579, 2, -0.4, 1, -0.1 in ascending order.\nAnswer: -0.579, -0.4, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2 + sqrt(117))*-2 + 0 + -2*sqrt(117) - (sqrt(117)*4 + 0 + sqrt(117) + -4))*5)**2.\nAnswer: 236925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {g: 6, r: 1, p: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2877929 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1198603, -1\/2, -4\/5.\nAnswer: -1198603, -4\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -3*a + 3*h, 3*h = -849 + 861 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2937)\/(-15) + 2\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 2*p = -4*b + 93, 2*p - 177 = b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (30\/(-75))\/(-2 - 11\/(-5)). What is the fourth smallest value in 2, -3\/5, d, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.041 times 3?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/5 of a minute in seconds?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-256)\/(-20) - 2\/(-10). Let q = u + 2. Suppose 5*d + i = 91 - q, -2*d = -3*i - 27. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-1*4\/(-16)). Suppose a = -5*z - 11. Let o(r) = r**2 + 2*r - 2. Calculate o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 0.0913, 0.1, -1, 14\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50 and 136450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119*h = -118*h + 4*k + 18, 30 = 5*h - 4*k. Let b(c) = 9*c + 1013 - 2017 + 1012 + c**h. Determine b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w**2\/8 + 261*w\/4 - 22707\/8 = 0. What is w?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 133 divided by 174691\nAnswer: 133\/174691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(27) - sqrt(27)*-1*1)\/sqrt(9))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 4*r**2 + 7*r - 12. Determine z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100220220020 + 12?\nAnswer: -100220220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**2 - 4*s - 2*s**2 + s**3 + 1 + s. What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 0*h**2 + 0*h**4 + 32\/13*h + 2\/13*h**5 - 16\/13*h**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000006534 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 8:45 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be 136*2\/(-210) + 4\/(-30). What is the second smallest value in 4, m, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.909 + 1.192. Which is the smallest value? (a) 0.5 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 90 - 741. Suppose 0 = -274*y + q*y - 3. Let v = 28 + -22. Solve 5*j - 9 = 5*g + y, 3*j - v = 4*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 208\/(-36) + 2\/(-9). Let o(x) = -x**3 - 5*x**2 + 6*x + 2. Let t be o(d). Let n(y) = 3*y**2 - y - 2. What is the smallest common multiple of 4 and n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -13863510 (base 9) to base 12\nAnswer: -2384283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -w - 5*d - 6, 4 = -4*d - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/5 (b) -2 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -446*k + 399*k = -41407. Calculate the remainder when k is divided by 230.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13452 = 8*x + 14356. Is 13 a factor of x\/(-18) + (1 + 1)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -10063, -19684, -29305?\n\"Answer: -9621*w - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 89 divided by 50\nAnswer: 89\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2))**(-8\/3)*(s**(-1\/23)*s)\/s**6 assuming s is positive.\nAnswer: s**(20\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 8*r - 2. Let q(s) = -s. Let z(d) = -h(d) - 5*q(d). Let y be z(1). Let j be 0\/(-2 + -1 - y). Solve -4*k = 8 - j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 186417?\nAnswer: 3, 7, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 + 30. Let v be (1384\/(-24) - -5) + 8\/(-6). What is the units digit of (-288)\/v*(-57)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.013, -3, 6\/19, -0.1, 0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 73*y + 40*y - 11*y + 3*y in the form g + r*y and give r.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 240 - 49. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -6*s**3 - 3*s**2 + 3*s - 5. Let y(x) = -x**3 - x**2 + x - 1. What is -g(h) + 3*y(h)?\nAnswer: 3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 - 2545*c - 70453. Determine j(-28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1757 - 1761. Put g, -0.2, 0, 3 in decreasing order.\nAnswer: 3, 0, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((264\/110)\/((-4)\/30))\/((-5)\/(-80)*-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2 - (-5 + 36 + -13)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(243)*2)\/(4*((sqrt(9) + (sqrt(9) + (sqrt(9)*-2 - sqrt(9))*-4 - sqrt(9)) - sqrt(9)) + sqrt(9))).\nAnswer: -15*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*i**3\/9 - 208*i**2\/9 - 2704*i\/9.\nAnswer: -4*i*(i + 26)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 20115.11 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1354*b**2*h**3 + 3*b**2*h**2 + 528*b**2 + 2*b*h**4 - 2*b*h**2 - 6*h**5 wrt h?\nAnswer: 8124*b**2 + 48*b*h - 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the second derivative of 1\/36*x**4 + 0*x**2 + 7*x + 0 + 0*x**3. Find g, given that o(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.4 + -1.5. Let x = v - 1.9. Which is the third biggest value? (a) 5 (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/828 and -27\/4545812.\nAnswer: 40912308","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let q = -33 - -177. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 171 - 170.9. Let w = 3113 + -3111. Let z = -9.6 - -1.6. What is the nearest to z in -5, t, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 41 * -13\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -855*g + 6843. Give p(10).\nAnswer: -1707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/4, -2, 0.3, -7\/436 in descending order.\nAnswer: 0.3, -7\/436, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 20 + 2 = 5*u, -5*u + 25 = 5*x. Solve q - 5*g + 6 = 0, 4*q + g - u*g = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3 + 13 = 0. Is 29 a factor of ((-12)\/14)\/(l\/1680)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14*(-19)\/(-18) - ((3897375\/513)\/(-125) + 61)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 53.5854 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.4, 35\/11, 1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 28347908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 16 = 3*h. Let y be (-3)\/h - (-195)\/20. Does 9 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3\/9 + 82294*g**2\/9 - 329144*g\/9.\nAnswer: -2*g*(g - 41143)*(g - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -2121*d**4 - 2 + d + 2111*d**4 + d - 2*d**3 in the form m*d**4 + u*d + h*d**2 + z + g*d**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10132129 to the nearest integer?\nAnswer: 3183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 3 = 11. Suppose -2*w = -5*w, -l = -2*w - 10. Suppose q*j + 2 = -l. Do j and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(0 + (-3 - -2)) + 3. Suppose -6 = -5*v + a, -i*v + 2*a = -11 + 15. Solve 0 = v*m - 2 - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 261385.86 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 216 - 1727\/8. Let w = 123\/119 + -20\/17. Put -0.15, w, h, -3 in descending order.\nAnswer: h, w, -0.15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-5*(1 + 6*sqrt(180)*-2))**2.\nAnswer: -648025 + 3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 8*1.6\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 + 1232*s - 1254*s as m + r*s and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5*(-12)\/80*-4. Suppose p*g + 23519 = 4*k + 6*g, 0 = -5*k + 2*g + 29393. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes before 8:06 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 2716.376ml to litres.\nAnswer: 2.716376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -988*a**2 - 1238*a**2 + 2227*a**2 + 1314*a as s*a + c*a**2 + b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1.03 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:23 PM and 7:42 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -472, -2012, -4692, -8512?\n\"Answer: -570*w**2 + 170*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2c6 (base 13) to base 9\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.4? (a) 2\/209 (b) 2\/3 (c) 0.3 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2679 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 90501110.\nAnswer: 2, 5, 7, 149, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117447237 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes before 9:26 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 668016 divided by -9278.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, k: 7}. What is prob of picking 3 k and 1 s?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9.64 + 0.36. What is the fourth smallest value in 1\/10, y, 1, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 507*u = 503*u + 84. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 345013.6 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 13*m**2 - m. Let b be k(2). Suppose 3*v = -2*v + b. What are the prime factors of (-1 + 0)*-2 + v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 6925 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-29)\/3 - (4 - 7))\/(((-4350)\/(-80))\/(-87))\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (z*(z\/(z\/((z\/(z**(-1\/2)\/z))\/z))*z)\/z)**(5\/6)*z**(-1\/4)\/z**(-4\/13) assuming z is positive.\nAnswer: z**(167\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 10:08 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be 14\/(-20) + 2*2\/4. Let r(a) be the second derivative of 1\/150*a**6 + 4\/5*a**2 + 7\/100*a**5 + 0 + i*a**4 + 2\/3*a**3 - 5*a. Factor r(k).\nAnswer: (k + 1)*(k + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.21 - 1.21. Let p = v - -1.1. Which is the smallest value? (a) 3 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 83864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17198.2 - -15676. What is j rounded to the nearest 10?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 0.04, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.2 + 62.3. Let f = j - 57.100194. Round f to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ommmyyy. Give prob of sequence oy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5\/3, -107, 0.856?\nAnswer: 0.856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8578507.\nAnswer: 7, 1225501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.05 - -1.95. Suppose 2*s + 3*s = -5*h - 45, -4*h + 2*s - 6 = 0. Let j = 2.8 - -2.2. Sort x, h, j in descending order.\nAnswer: j, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -65041, -65107, -65315, -65737, -66445?\n\"Answer: -12*b**3 + b**2 + 15*b - 65045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -110452 divided by 521\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -54*w**5 + 75*w**4 - 2*w**2 - 5589*w - 1 wrt w?\nAnswer: -3240*w**2 + 1800*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 666 by 12.\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/20*12)\/((-3)\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sbssbsb. Give prob of sequence sb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of -12*g + 1\/12*g**4 - 2*g**2 + 1\/2*g**3 + 0. What is f(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111 (base 2) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v**2 - 13*v - 14. Let q(w) = 8*w**2 - 28*w - 29. Let i(c) = -2*q(c) + 5*u(c). Determine i(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 20344853 + -1?\nAnswer: 20344852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4534342 + 25011?\nAnswer: -4505331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 144 and 756442584?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110333?\nAnswer: 19, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*u + 5*f - 3, -u + 5*u = -3*f - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 667886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(52)\/(sqrt(4) + (sqrt(324)\/sqrt(9))\/sqrt(9) - sqrt(4))*-4.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**3 + 3*d**2 - 4*d + 2. Let u be g(4). Let r be 1\/3 + (-8)\/u. Sort -2, r, 2\/3 in descending order.\nAnswer: 2\/3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -8*g + 12. Let k(m) = -m. Determine n(k(i)).\nAnswer: 8*i + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r = -3*l + 5, 0*r - 4*r - 4 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9\/5? (a) 198 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37855840 divided by -60280.\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*z - 3 + 10*z + 39 + 11*z wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y\/(y**(-2\/69)*y)*y*(y*y*y*y**(9\/5)*y)\/y*y*((y*y**31)\/y)\/y**(-9\/10) assuming y is positive.\nAnswer: y**(27413\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*(-10)\/(-3280))\/((-10)\/20).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 189333 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 + -0.1. Suppose 6*r = 8*r - 10. What is the nearest to 0 in 0.5, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, 0.2, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9.5 from 466.\nAnswer: 475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 3*x - 9. Let v be m(4). Suppose -4*p - h - 20 = v*h, 5*h + 17 = 3*p. Let z be (1 - p - 2) + (-88)\/11. Is z bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (114\/(-95))\/((-9)\/30) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.195 from -625.\nAnswer: -625.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - -12 - (50 + -48) - (3 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {w: 6, v: 1, t: 1, r: 4, m: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 173 and 6181117.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4629803*c**3 - 144*c**2 + 9743.\nAnswer: -27778818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2839064299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 2*k + 25 = 0, 2*k - 30 = 4*m + 4*k. Let r(o) = -3*o - 10. Let f be r(m). Solve 0 = -f*a - 2 - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(6\/7))\/f*f*f*f*f**(6\/5))**(-4\/15) assuming f is positive.\nAnswer: f**(-156\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0 - (12 - (0 - -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**3 - 23*s**2 + 22*s + 9. List the prime factors of f(23).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w - 35. Let v be k(0). Let g = 17 + v. Let d(o) = o**2 + 17*o + 27. What are the prime factors of d(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.3841853 rounded to two decimal places?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -r + 35. Suppose 0 = 9*q - 14*q + r. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*f = 27*f - 2*o + 22, 4*f - 14 = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 5 = 5*o, 2*o + 26 = -5*a + a. Is 30639\/((-6)\/6*o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 46349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, -0.1, 65, 14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 438.19 + 592.\nAnswer: 1030.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -851*p**5 + 35*p**3*x**2 - 690*p + 64*x**2 wrt p?\nAnswer: -17020*p**3 + 210*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjxxjljlsssjj. Give prob of picking 1 l, 2 x, and 1 j.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -2*d + 1. Let n(f) = -170*f + 51. Determine 4*n(k) - 204*u(k).\nAnswer: -272*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (40\/(-16))\/((-2)\/148)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {h: 7, u: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 3*q + 18, -4*m - q + 13 + 3 = 0. Is (6\/m)\/((-10)\/(-5015)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10605927 rounded to the nearest 1000?\nAnswer: -10606000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Solve 92*l - 93*l - 5*j - 36 = 0, 5*j + 40 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v + v + 22*v + 5*v.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 79 - 79.5. Let n = 0.9 - 0.6. Let p = n + q. What is the biggest value in -2\/7, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6457 = 4*b + 5*p, -11*b = -6*b - 5*p - 8105. Does 9 divide b\/12 + 48\/288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 461 times -164?\nAnswer: -75604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-10)\/(-7))\/((-17)\/(-119)). Suppose 5*q + 20 = -k, 0*k = 3*k + q - v. Solve -k*x + 0*x = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1 + 2 + ((sqrt(72) - (sqrt(72) - (sqrt(72) - (1 + -1 + sqrt(72))) - sqrt(72))) + -6*(sqrt(72) + 0))**2 + -1).\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 54 and 1272.\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**5\/z*z\/(z\/(z*z\/(z\/(z\/(z\/(z\/z**(-2\/17)))*z))))*(z**(-1\/4))**44 assuming z is positive.\nAnswer: z**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 - 1.1. Let a = d - -0.9. Let b = 16 + -14. What is the closest to a in 2\/3, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -5\/3 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -121 - -2?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f. Let p(y) = 4*y + 1. Let u(s) = -p(s) - 3*q(s). Let c(h) = -8*h - 6. Give -c(z) + 4*u(z).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 3398, -0.1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -5*n - 139 + 139. Suppose 0*k - 5 = -5*k. Let d be v(k). Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -4 and -26695 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 108 + -105.568. Let o = k - 2.2. Round o to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in -6*g**3\/13 + 18730*g**2\/13 + 1662092*g\/13 - 1116384\/13 = 0?\nAnswer: -87, 2\/3, 3208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*r = 14*r + 30. Let x(b) = b**3 - 8*b**2 - 9*b + 5. What is the smallest common multiple of x(9) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 462 and 484506.\nAnswer: 3391542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -46326650 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70 is divided by 1\/2 + 215\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 55*o + 13*o - 19*o + 833 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b + 0*b - b)*(-1 - b + 1)*(-104*b**2 - 187*b**2 - 80*b**2) + 7*b**4 - 6*b**4 - 2*b**4 - 4*b.\nAnswer: -743*b**4 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of -x**3\/6 - x**2\/2 - 5*x. What is z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20390 divided by -5.\nAnswer: -4078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 27330870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.02542mg to micrograms.\nAnswer: 25.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = 2*u - 6. Let p(b) = b**3 + 3*b**2 + 2*b + 4. Is p(u) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 867885.3ns in seconds?\nAnswer: 0.0008678853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - (2 - 3)) + (-2 - -11 - (295 + -287)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.39 * 0.09\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3 + -6 + 7 + 6. Solve -8 = k*q - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2543506 and 2380.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 206709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 913114 is divided by 456555.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*q = -18*q + 28*q - 1287 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 49 and 29810081.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 - 7*n**2 + 8*n + 9. Let h be p(-8). Let b(a) = -9*a + 15. Let j(y) = -49*y + 76. Let f(z) = -11*b(z) + 2*j(z). What is f(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*i + 3*i - 2*i + 5*i + 9 to b + x*i and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 433078 and 7340398?\nAnswer: 5482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 159 and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 divided by 21236711.\nAnswer: 15\/21236711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 83*d**2 - 14*d - 21 wrt d?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 35463 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: Find the second derivative of -2048730*g**4 - 33*g**3 - g**2 - 144257973*g.\nAnswer: -24584760*g**2 - 198*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 194*m - 1514. What is the remainder when 1396 is divided by n(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - -1)*((-27)\/12)\/9. Let s = 0.8 + -0.7. Let m = -2.624 - 2.376. Put m, i, s in ascending order.\nAnswer: m, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, 0.6, 0.034, 2\/17, 1\/6 in decreasing order.\nAnswer: 0.6, 1\/6, 2\/17, 0.034, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 - 6*l**2 + 7*l - 3. Let q be m(5). Suppose q*c = -c + 48. Let h = 1555 - 1553. What is the lowest common multiple of c and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-1)*4\/(-4). Suppose -q*g - 3 = 5, -i + 390004 = -g. What is i rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 + 5*d + 1. Give o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2440828189.\nAnswer: 347, 7034087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2233 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 99*w + 17. Calculate l(-3).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 + w**2 - w - 1. Let n(p) = 2*p**3 + 4*p**2 - 2*p - 4. Let r(q) = 3*l(q) - n(q). Factor r(a).\nAnswer: (a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24543734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oaaaaaaooooa. Give prob of sequence aoo.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 2*f + 2*f + 20, -2*u + f = -5. What are the prime factors of 3\/(3\/12 - u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-88900)\/800 - -110)*(0 - 1\/9)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 1. Suppose -3*y - n = -19, 0*n = 4*y + a*n - 22. What is the least common multiple of 2 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11660480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.1 + -7.1. Which is the closest to o? (a) 1 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2418 and 1488.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 103064.76 hours to days.\nAnswer: 4294.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/((-4)\/(-16)*-2). Solve 2*d + 4*a - 2 - 12 = 0, 11 = 5*d - z*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 209348333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-138)\/(-9) + (-2)\/6. Suppose 0 = -5*r + 2*r + b. Suppose 4*l = -v + 18, -r*v + 0*v = -5*l - 15. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z - 1. Let r = -2 - 6. Let a(v) be the third derivative of v**4\/2 - 4*v**3\/3 - 170*v**2. Calculate r*s(j) + a(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 594, 785, 994, 1221, 1466?\n\"Answer: 9*j**2 + 164*j + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 4*z + 0*z = 176, -a - 175 = -5*z. Let n be (4\/10)\/((-6)\/a). What is the remainder when 147 is divided by 10\/(-3 - (-40)\/n)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -5*s + 5. Let b(y) = 5*y - 17. Let f be b(5). Let v(n) = -3*n + 3. Give f*v(a) - 5*p(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*v - 6*v. Let d(q) be the second derivative of q**3\/6 - q**2\/2 - q. Suppose -3*p = 6, -n - 2*p - 2 = -0*p. Let w(s) = 2. What is n*d(j) + v*w(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 72831.86 years in millennia?\nAnswer: 72.83186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 + 7*k**2 + 10*k + 8. Let n be j(9). Let i be n - (0\/(-3) + -4). Let o = -34 - i. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7043 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 + 73. Suppose a*s - 92*s = -1255. Let z = s - 57. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**5\/30 - y**4\/6 + 5*y**3\/6 + 35*y**2. Let g be u(1). Solve -3*d + 2*v + 8 = -2*v, 6 = 2*d - g*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 2*m = -636 - 747, 3*i = -3*m + 855. What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of 5*v**6\/6 - 4*v**5 + 25*v**4\/4 - 10*v**3\/3 - 29. Suppose s(g) = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 * -989\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 2*y**2 - 3*y - 100. What is f(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1336915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 24 = -3*o, 4*l = -3*o - 1 + 5. Let w be (1\/3)\/(l\/(-408)*-2). Factor -12*b - 3*b**2 - w + 48 - 16.\nAnswer: -3*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of -k**7\/14 + 7*k**6\/10 - 9*k**5\/10 + 2*k + 9. Factor t(f).\nAnswer: -3*f**3*(f - 6)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f**3\/2 + 603*f**2\/2 - 1470*f = 0.\nAnswer: 0, 5, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 6) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 47799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5*(-4)\/210*-3. Let l = -0.054 + 2.554. Let g = -0.5 + l. Sort j, -1, g.\nAnswer: -1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 4)*(-w - 2*w + 4*w)*(-10 + 11 - 57).\nAnswer: -168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand ((78 - 2 - 1)*(-1 - 1 + 0) + 2 + 6 - 4)*(p - 2*p - p).\nAnswer: 292*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**4\/7 - 4090*y**3\/7 - 12282*y**2\/7 - 12286*y\/7 - 4096\/7.\nAnswer: 2*(y - 2048)*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, 0, -14 in increasing order.\nAnswer: -14, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -2*u + 5, 2*u = -2*p - 6. Let o be (p - -1) + (-3 - -2). What is the units digit of ((-247)\/(-1) + o)*8\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -48 - 49 - 43 - 140*a**3 + 17*a**3 + 143 to the form m*a**2 + h*a**3 + n*a + g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 502, 503, 504, 505, 506, 507?\n\"Answer: k + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 363325*h**2 - 1453285*h - 60 = 0.\nAnswer: -3\/72665, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of y**2 - 2*y**4 - 1\/5*y**6 - 4\/5*y**5 - 1\/35*y**7 + 3*y - 1\/560*y**8 - 16\/5*y**3 + 0. Factor w(j).\nAnswer: -3*(j + 2)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**3 - 4*n**2 - 5*n + 2. Let y be m(5). Let s(d) = d**3 + 9*d - 3*d - 5 + 0*d**2 - 6*d**y - 2*d. List the prime factors of s(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 3*x + 14. Let h be r(5). Solve -8*o + 4 = -h*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g - 36 = -10*g. Let t(s) = -10 + 10*s + 3*s**2 - 4*s**2 + 3*s. Does 12 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32373 divided by 158.\nAnswer: -32373\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 6343986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -46\/217 and 26\/23745.\nAnswer: 5152665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -12424230 (base 5) to base 12.\nAnswer: -5b6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(19) + sqrt(171)\/(3*sqrt(9)).\nAnswer: 2 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -894, -5395, -17074, -39519, -76318?\n\"Answer: -598*x**3 - x**2 - 312*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 + 3 + -2)\/(-3). Suppose n = -t*n + 4*p + 43, n - 47 = 5*p. Suppose 2*m = -0*j + 5*j - n, -5*j + 30 = -5*m. Solve j*c + 14 - 34 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -468*h - 378. What is the units digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -98600 - -52946. Round p to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-60)\/750 - (-254)\/50. Let m(g) = -g**2 + 4*g + 5. Let c be m(5). Solve t + w*q + 12 = -0*t, c = 5*t - 4*q + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 - 1)*19\/(-38). Let f be (c\/(40\/(-16)))\/(19\/(-25)). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 = 3*v - 3*o, -o - 167 = -100528*v + 100510*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2364 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2795*b**3 - 46*b**2 + 52*b + 4394. Let f(h) = 465*h**3 + 8*h**2 - 9*h - 732. Let x(i) = 23*f(i) + 4*k(i). What is the derivative of x(m) wrt m?\nAnswer: -1455*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of -x**5\/20 + x**4\/12 - x**3\/6 - x**2\/2 - x. Let q be 4\/(-22) - ((-124)\/(-44) + -3). Give h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d - 2*d + 3*d)*(-3 + 2 + 12)*(-5*d**3 + 17 - 17).\nAnswer: 55*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, 11, -0.412, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 0*l**3 - 5*l**3 - l - 1 + l. Suppose -1 = -f + 2. Let h = 0 - f. Let z(i) = 6*i**3 + 1. What is h*z(v) - 4*k(v)?\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 PM and 7:00 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -184304, -368588, -552872, -737156, -921440?\nAnswer: -1105724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -1. Let k(d) = 2*d + 12. Give 5*c(u) - k(u).\nAnswer: -2*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 5*h. Let y be r(3). Let k = -8 + y. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 4*n - 4 = z, -2*n = 5*z - 14. Solve 4*p - 12 = -2*h, -z = -4*h - h + 3*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -4\/7 (c) 0.071 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*d + 117 + 3 = -22. Find b such that 3\/2*b**d + 1\/2 + 3\/2*b + 1\/2*b**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -744110.3 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-216)\/20 + 10)\/(37\/370).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 + 3*l + 30. What are the prime factors of v(15)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -34 - -65480?\nAnswer: 65447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-6)*4*(-18)\/(-12). Let v be -6*3\/18*t. Solve 4*n = -4*f - f - 7, -4*f - 5*n - v = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 2*o - 1. Let n be a(-3). Let d be 3\/(-3)*2 - n. Let j = d - -80. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 39405 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1969\/4 + 1975\/4. Let g = 274 + -830\/3. Let y = -3 - g. What is the closest to n in 1, 5, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 20 - (801878\/57266 - -6). Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/2019 and 169\/42.\nAnswer: 28266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16781210 to the nearest integer?\nAnswer: 4096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -287*t = -95*t - 6912 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 11\/4, 2, 2\/9 in descending order.\nAnswer: 11\/4, 2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 7365307 to the power of 1\/2, to the nearest integer?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1524284953\/1068 - 1427233. What is the common denominator of -69\/2 and g?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1134844583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is 16 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 41300601 a multiple of 1311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkzzqzqkqsqloqqskz. What is prob of picking 1 k, 1 l, and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -39 - 4*t**4 + 5*t**4 - t**2 + 171*t + 16 + t**3 + 13 - 140*t in the form x*t**4 + u*t**3 + b*t**2 + f*t + m and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1729 divided by 2\nAnswer: 1729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11200212 + -1101200?\nAnswer: -20002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -576171 (base 10) to base 5.\nAnswer: -121414141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 10526 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1161120 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 520051 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract 594601.8 from 491.\nAnswer: -594110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 32*n**3 - 2*n**2 + 4*n + 114?\nAnswer: 192*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -687 - -1300. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 3*i - 163, -2*l = i - 7*l - 71. Let s = i - 29. What is the derivative of 26 - 21*u**4 + 5 + s - 8 wrt u?\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -93\/4 + 23. Let f = -0.5 + 0.4. Let i = f - -0.2. Which is the second biggest value? (a) i (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 172190608 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 780 = -327282*s + 327312*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.075 and -3983088?\nAnswer: -298731.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -68*-28.\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from {m: 4, k: 3, d: 1, o: 4, c: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.5, -2\/3, 0.1.\nAnswer: -2\/3, -0.5, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1127733?\nAnswer: 3, 199, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-12)\/9 - -1)*3. Let d be ((3 + -2)*f)\/1. Suppose 138*v - 133*v = -25. Which is the nearest to d? (a) 0.1 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2077817076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -2012*o + 179*o**2 + 4 + 1006*o - 170*o**2 + 1002*o. Let k(d) = -22*d**2 + 10*d - 10. Let i = -10 + 5. Determine i*k(n) - 12*x(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 12\/322*10143\/2898\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (54\/(-4))\/((-21)\/140). Suppose 3*z - 5*l - c = 0, 4*l = -3*z + 2*l + 90. Calculate the greatest common divisor of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = -48*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = 3*z + 429. Suppose -2*l + 7*l - 30 = 0. What is the smallest common multiple of (2\/3)\/((-13)\/z) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzkzkzzzzk. Give prob of picking 2 k and 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -28*t. Let p be f(-1). Let d be (-8)\/p + (-16)\/(-7). Find the third derivative of v - v**d + 3*v**3 - 2*v**3 - v wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246989280 rounded to the nearest 1000000?\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**2 + 10*h + 18. Let l be d(-8). Suppose 0 = -u + l*b - 4, b + 4 = 4*u - 2*b. Solve -5 = 3*p - f, 0 = 6*p - p - u*f - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 35667675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 140 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r + 23. Let b be i(-9). Put -4, b, -1 in decreasing order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10) + 3*sqrt(90))\/(1*sqrt(45)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 978400*l**4 + 4366*l + 62 wrt l.\nAnswer: 11740800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -76, -2, 2 in descending order.\nAnswer: 2, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**2 + 8*t - 3. Let x be y(5). Suppose 11*n - x*n + 14 = 0. Suppose 3*p + 9 = 2*m, -m - 4*p = -4*m + n. Solve m*o - 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2600 divided by 4.\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*i - 13 + 3, -3*i = x + 15. Suppose x = -o - o + 14. Suppose u - 5 = o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-5 + (-294)\/(-56))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -139 = -36*a + 5. Let k = 1 + -0.8. What is the closest to 1 in -4, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= 33711723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 75 and 0.40252?\nAnswer: 74.59748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + -1020?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - (3 - -1) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -265*g + 250*g = 105 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 163*s - 168*s + 331*s - 11*s**3.\nAnswer: -11*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 33892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 19 = -4*i. Suppose -l + 2 = 0, -i = -2*f - 2*l + 23. Calculate the remainder when 24 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 294062138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 15504.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 664211319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (474759\/(-36))\/17*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2110 (base 11) in base 5?\nAnswer: 42134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10572 is divided by 3394?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 187808 + 112192 = 5*t. Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -99100 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 4:58 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -86, 2, 61 in increasing order.\nAnswer: -86, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6 + 4)*1\/2. Solve 4*x + 2*n = 20, 2*n - 18 = -l*x + 3*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 take away -0.6853?\nAnswer: -1.3147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.45 in 1\/3, -1, -3, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 10*b. Let r(g) = 3 - 3 + g. Let v be 4*((-2)\/(-4))\/(-1). Let j(y) = v*h(y) + 22*r(y). Let s(w) = -w. Give s(j(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1137 is divided by 86?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*p = -120, -3*s + 54*p - 55*p - 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.11 - -0.12. Let p = a + 0.03. Round p to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.4 from 0.831.\nAnswer: 0.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 506*z + 173864. Give h(-344).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 50*x**2 + 51*x - 109. Let l be p(49). Let f be (21 + l)*11\/22. Determine r so that -4\/3*r**4 + 1\/3*r**f + 5\/3*r**3 + 0*r + 0 - 2\/3*r**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 - 3*d - 3. What is v(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((v*v**28*v)\/v)\/v**(3\/5))\/(v**(3\/10)\/v**25))**(-24) assuming v is positive.\nAnswer: v**(-6372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = -3*r + 35, 2*d + 149692*r = 149687*r + 21 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + i + 245 = 0, 4*b - i - 3*i - 196 = 0. Which is bigger: 50 or b?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3.439 + -0.139. Let w = k + 18.7. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4675133 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 720*q - 5038. Give i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, -7, 2 in decreasing order.\nAnswer: 11, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -318101 - 1?\nAnswer: -318102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 669315761 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jejjeooojjjej. What is prob of picking 1 o and 2 e?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 66 - 61. Suppose -j*g + 5 = -40. Let o(r) = -r**3 - r**2 + r + 2. Calculate the remainder when g is divided by o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 4*d)*(2 + 0 + 0)*(-42 + 33 + 51 + 31)*(1 - 3 + 9).\nAnswer: 4088*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-1*1\/1)\/((-14)\/588*14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -45940664 times -0.3\nAnswer: 13782199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/2879903167 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1152893447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 169661?\nAnswer: 169661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -194a3 + 5743?\nAnswer: -13860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4180 in 5, 687, 5\/2?\nAnswer: 687","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-20)\/(-50)*(0 + 5). Suppose 13*o - j*o - 44 = 0. Solve 0 = -3*b - o*z - 27, -2*b = -6*b - 4*z - 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1143851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, 5, 38164, -5, 2.\nAnswer: -9, -5, 2, 5, 38164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -175652, -175636, -175618, -175598, -175576, -175552, -175526?\n\"Answer: n**2 + 13*n - 175666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -521 < -17152\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -31 - 16 + 504*b + 47 to n*b + d and give n.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5182783*i**2 - 936105*i - 1 wrt i?\nAnswer: -10365566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2509, -2486, -2465, -2446, -2429?\nAnswer: -2414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fhj when three letters picked without replacement from {s: 1, f: 1, h: 2, u: 2, j: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-4)\/10)\/(1\/10). Let o(x) = -4*x - 14. Let m be o(f). Let -98*z**4 - 27*z**3 - 8*z + 4*z**2 + 3*z**m - 15*z**3 + 41*z**2 = 0. Calculate z.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 2362043\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -103*u + 7802. Calculate l(76).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (y + 2 - 2)*(7 - 2 - 3) + 15 - 7*y - 17 + 8*y.\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 5, b: 14}. Give prob of sequence bbbb.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -49 - -44. Sort -4, 1, j, -2.\nAnswer: j, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1171 + 592.1171. Let z = 648.35 - s. Let q = -59 + z. Round q to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12914895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - ((-10 - 0) + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.17 * -0.05.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 + -111101010101100111000001111?\nAnswer: -111101010101100111000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 335262 and 279385?\nAnswer: 1676310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-84)\/56*8\/(-6))\/(5\/40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 645828.7 centimeters to millimeters.\nAnswer: 6458287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the first derivative of 15\/2*w**2 - 3 - 10*w - 5\/3*w**3. Factor b(j).\nAnswer: -5*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/(-3))\/((-1)\/75). Suppose 3*u + 2*u + i = 630, -115 = -u + 2*i. Let d = j + u. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 935361 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 274197.1361 to the nearest 10.\nAnswer: 274200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 + -16. Find the third derivative of 2*j**o + 9*j**5 + 30*j - 30*j wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 4:16 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -25154 - -12?\nAnswer: -25142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -2*a**3 - 15*a**2 + 268*a + 2069. Give f(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gmmeigegee. Give prob of picking 1 i and 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 93*k + 2. Is 24 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -5*q**2. Let y(l) = -3*l**2 + 6*l**2 - 6*l**2. Give s(y(n)).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117473 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*f**2 + 12*f**2 - 10*f**2 + (2 + f**2 + 2*f - 2*f)*(38 + 14 - 10).\nAnswer: 33*f**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -617\/3 - -206. Let d(c) be the first derivative of -1\/12*c**4 + 1\/9*c**3 - 1 + 0*c + l*c**2. Factor d(r).\nAnswer: -r*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 3*d = -12, 2*d - 17 = 5*o - 10*o. Let s be -1 + (3 + -2)*o. Suppose 4*p - s = 82. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 + 6*u - 3. Let z be w(4). Suppose m - 4*p = 28, p - 76 = -z*m + 5*p. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -4*d + d + 0*d + 5*d. Let r(x) = 4*x. What is r(p(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 187 - -2236. Suppose 4*j + 3623 = j - 4*g, -2*j + 5*g - f = 0. Round j to the nearest ten.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the third derivative of -x**6\/360 - 11*x**5\/9 + 221*x**4\/72 - 7*x**2 - 4*x. Determine t so that m(t) = 0.\nAnswer: -221, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -4*y + 2*l, 4*y + y - 21 = 4*l. Let q be ((-36)\/126)\/(y\/(-7)). Let a(s) = -s. Let n(u) = 1. Determine q*a(v) + n(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than -22\/55289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -224682, -224685, -224688, -224691, -224694?\nAnswer: -224697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 - 12*w**2 + 2*w - 20. Let b be r(12). Let x = 2 + 2. Suppose m - b = -o, 6*m - x*m = o + 2. What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**3 - 2*v**2 - 3*v + 16. Calculate z(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 11 + -9 - (-3 - -2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2772 - 2812 - 1800 - 2734 - 2755)*(3*b**4 - 2*b**4 + b**4) to v*b**4 + m*b**3 + h*b + y + n*b**2 and give v.\nAnswer: -14658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 w, and 2 p when four letters picked without replacement from dhwpgwgp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -1. Let m(b) = -b**2 - 1. Suppose 8 = -2*s, -3*z - 4*s - 14 = s. Let k(a) = z*m(a) - 2*t(a). Let g(i) = 10*i**2. Calculate k(g(l)).\nAnswer: -200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (((sqrt(76) - 4*-2*sqrt(76)) + sqrt(76))\/(1*sqrt(16) - sqrt(4)) - -5*(-2 + (sqrt(1539)*-2)**2)).\nAnswer: 10*sqrt(19) + 30772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 159 divide 1147231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.03 (b) 0.2 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9620*n**3 + 1313*n + 45007046.\nAnswer: 28860*n**2 + 1313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-19)\/(266\/30))\/((-1)\/7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/11*(-10)\/(-15)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.2 - -0.3. Let g(m) = -m**3 + 13*m**2 - 12*m + 2. Let f be g(12). Suppose 0 = -h + f - 3. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(-1*sqrt(190)*-1 - -4*sqrt(190)*2))\/((sqrt(6050) - sqrt(6050)*-2)\/((sqrt(150)\/sqrt(3))\/sqrt(10))))**2*1.\nAnswer: 1539\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 4*l + g, -l + 4*g + 30 = -3*l. Let m = -5 + 9. Let f be 8\/10 - m\/(-20). Which is the nearest to -1? (a) f (b) -6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 802 is divided by 686.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*l**3 - 21770996*l**2 + 43541907*l**2 - 21770911*l**2.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -k**4 - 1113*k**3\/4 - 10094*k**2 - 301227*k\/4 = 0.\nAnswer: -237, -31, -41\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 7*l**3 + 535*l - l**3 - 531*l + (4*l**2 + 0*l**2 - 2*l**2)*(0*l - 5*l + 4*l) in the form v*l**2 + x*l**3 + b*l + n and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = t. Suppose -2*x = -t - 6. Let m(b) = -b - 9. Let r be m(-8). What is the second smallest value in -0.1, x, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33228 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 163963753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -17*k + 4 - 15*k - 1 - 19*k + 11*k. What is c(1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a + 810*c = 3*a + 809*c + 4, 1 = -2*a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 + 5*r**2 + 2*r - 4. Let s be i(-5). Let f be 4\/s - 37\/(-7). Solve 0 = -c - 0*c - w + f, 0 = 3*c - 5*w + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzozzozozzozzzo?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -r**2*s**2 - 2*r**2 + 4*r*s + r - 83*s**4 wrt s?\nAnswer: -2*r**2 - 996*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -106480 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**2. Let p(a) = 53*a**2 + 4*a. Let t(v) be the third derivative of -95*v**5\/12 - 19*v**4\/12 - 49*v**2. Let w(l) = -19*p(l) - 2*t(l). Give w(m(d)).\nAnswer: -57*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 95791\/8 greater than 11973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7942, 997, -5946, -12887?\nAnswer: -19826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 8 = 4*v - 9, -5*v + 2*f + 25 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6 is divided by (2 - 0)*(5 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -1\/23, 0.2, 0.11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -5*f**3 - 4*f**2 + 571*f + 3. What is s(-11)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3031333232 + -23?\nAnswer: 3031333203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -0.08, -0.04, 2, -4\/9 in ascending order.\nAnswer: -4\/9, -0.08, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 3*v**2 + 16*v - 6. Suppose -8*q = 4*i + 28, 4*q - 5*q = -3*i - 14. What is k(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 8:53 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1832 + 0.1168. Which is the second biggest value? (a) 1\/3 (b) 4 (c) i (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2597974, 2597970, 2597964, 2597956, 2597946, 2597934, 2597920?\nAnswer: 2597904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -283, -213, -95, 71?\n\"Answer: 24*b**2 - 2*b - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1269637400 divided by -3656.\nAnswer: -347275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 + -5. Let l be (d + -7)*(0 - -1). What is the units digit of (4 - (l + 3))*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9.3 - -5.364. Let j = p + -0.064. Let d = 122\/55 - 12\/5. What is the second biggest value in -0.05, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r + 5*h + 4 = 17, -5*h = -2*r - 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 149.9 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = -4*x - 30. What is the units digit of (-852)\/x - (-12)\/66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 125 + -74. Let w = -49.9 + x. Let g = 1.0977 - w. Round g to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*i + 15*i - 5*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 116 divide 41854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153) - (-2*sqrt(153) + sqrt(153) + sqrt(153)))\/sqrt(9) + 5 - (sqrt(272) + sqrt(272) + sqrt(272)*1)*-6)**2.\nAnswer: 730*sqrt(17) + 90618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 41*b - 33*b + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 19, 567, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/x**(-1\/3)*x*x*x**(-1\/3)*x\/(x\/x**6*x)*x**(-1\/6)\/x*(x\/(x*x\/(x*x**(1\/2)\/x)))**(11\/2)\/((x\/x**(1\/4))\/x*x)**(-5\/2) assuming x is positive.\nAnswer: x**(143\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2*4 - -3)*-1. Let s = -4.14 + 4.24. Which is the biggest value? (a) r (b) s (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -10*(630\/(-40) - -21)*4\/(-10)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.073977 - 8.284577. Let n = t - -0.1626. Let h = n - -8. What is h rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*f - 239 = 87*f - 6529. What is the remainder when 417 is divided by f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0050441719 to 5 dps.\nAnswer: -0.00504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 784071*l*n**3 - 2*l*n - 9*l - 2*n**3 + 303*n**2 + 11*n - 14 wrt n.\nAnswer: 4704426*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*p + 28*p + 13*p)*(5*p - p - 3*p)*(-9*p**2 + p**2 + 6*p**2).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6626 + 10284. What is the remainder when h is divided by 1219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 180\/150*(-1)\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.111765 to three decimal places.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -2 - 2. Suppose v - 127 = -a*x, x + 3*v = 25 + 15. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (23\/(-897)*-13)\/(-2 - (-1 + 1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16052, -32097, -48142, -64187?\nAnswer: -80232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*y + 571 + 706 = 172 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 585 and 45.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-4*(sqrt(84) + sqrt(84)*-1)*1)\/(((sqrt(120) + 1*sqrt(120))\/sqrt(10) + sqrt(36)\/(2*sqrt(3)))*-5) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xaxv when four letters picked without replacement from vpapavxxafaapaavv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00105 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 58\/40525 and -36\/8105.\nAnswer: 40525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -116*m - 88. Let l be y(-19). Suppose 9*c - 305 - l = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3717 + 3713 = c. Sort -5, -1, 0, c, 4 in increasing order.\nAnswer: -5, c, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 36*j - 54. Let a be 30\/25*10 - 3. Let u be i(a). Calculate the highest common factor of 30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -5641 divided by -6\nAnswer: 5641\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/3010140 and 82\/236511?\nAnswer: 33111540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2 - 1 + 3 + 3*b**2. Let a be 2 + 1\/(2 - 1). Let h(x) = -4*x - 1 + 1 + a*x. What is h(k(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5778.341 microseconds in seconds?\nAnswer: 0.005778341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 + -3*(-8)\/(-6)*2. Let q(r) = r**3 + 10*r**2 - 11*r + 16. What is the remainder when q(v) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 2*f = -86, 5*z - f + 17 = -60. Let w(r) = -r + 9. Let b be w(8). Let t = -16 + b. Which is greater: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 63660097 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add together -15.12134 and 247341.\nAnswer: 247325.87866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20 + -7 - 6) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 14. Let y be (3\/g)\/(1\/18). Solve 0*k - 2*k = v - 2, -y = -k + 2*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-81)\/18*((-4)\/18)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -8. Suppose -a - 70 + 75 = w. Suppose -a*f = -9*f + 576. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1022 + -1023. Sort -18\/13, z, 2\/3 in ascending order.\nAnswer: -18\/13, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -o**5\/4 + 667*o**4\/2 + 73559*o**3\/4 - 80532740*o**2 - 20909177744*o - 1416473397248 = 0. What is o?\nAnswer: -221, -128, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 32, 5, 47 in descending order.\nAnswer: 47, 32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(150)*-1)\/sqrt(10))\/(sqrt(75)*1 + sqrt(3)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 22 (b) -6.781 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1240)\/(-25) - 6\/10. Suppose 0 = -5*u + 1 + i. Let b be (-41)\/(-5) - 2\/u. Solve -3*k = -5*k + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12)\/(sqrt(96) + 1*sqrt(96)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4078443 and 28679?\nAnswer: 485334717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -w + y, -9 = -4*w - 101*y + 100*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -7, 19, 4, -4, -2 in ascending order.\nAnswer: -7, -4, -2, 4, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 7 - 25. Suppose 5*k - d = -k. Let b(o) = 6*o - k + 2 - o**2 + 3 - 1. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(-1\/48))\/(s**(-2\/31)\/s*s) assuming s is positive.\nAnswer: s**(1615\/1488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -416.445 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 4*u**2 + 5*u + 10. Let l be s(-5). Suppose 4*g = 2*g + l. Let p(c) = -c**3 + 5*c**2 - 2*c. Give p(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -36 + -1898?\nAnswer: -18ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -354 - -832. Suppose 1819*d = 1824*d + 5*k - 260, 0 = 2*d - 5*k - 160. Calculate the remainder when l is divided by d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 17071 and 5.1?\nAnswer: 87062.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.04 in 4\/7, 1, -56?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - w + 13 + 354, -5*f = 4*w - 1835. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 689*t**2 + 87*t - 1127. Is m(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -883 = -59*j + 2 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2032 - 2046. What is the nearest to 1\/2 in 0.4, 11, 1\/4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 2 + 2*w**2 - w**2 + 1 - w**3. Let g be -1 - -3 - -3 - 1. Suppose 0*c = -2*c - 4*m + 8, 8 = -5*c + g*m. Calculate s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 645*r - 324*r = 324*r - 46, -2*r - 83 = 7*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1358 - -817. Let w = s - -780. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1356 and 5838?\nAnswer: 1319388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 0*d = -2. Let m(k) = -2*k**3 - 2*k**2 - 2*k. Let l(g) = -g**2 - g - 1. Let c = 73 + -72. Determine c*m(t) + d*l(t).\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 507 + 3493 = 64*d - 264*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 309210 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 181307790 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 5*c**3 - 16155*c**2 - 16190*c + 96960 = 0.\nAnswer: -3, 2, 3232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z - 144 = 19*o + 37*o + 142, 6*z - o - 11 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2 - 72*t + 360.\nAnswer: 2*(t - 30)*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 - -6. Suppose 3*x - p = 2*a + 12, x = -5*a + 10. Let l = 9 - 15\/2. Is a not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 11, w: 1, q: 6}. Give prob of picking 2 q and 1 w.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 - 5*z**2 - 6*z - 6. Let k(y) = -2*y**3 + 38*y**2 + 8*y - 147. Let c be k(19). Calculate x(c).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7525506151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -2*m**3 + 49*m**2 - 22*m - 34. Let w be z(24). Solve -2*x - 5*k = -26, x - w = -x - 2*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4, -0.5, -3, 2\/5, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 + 4. Let t be (0 - -2 - 0)\/(-2). Let h(i) = -i**2. Let p be h(t). Sort p, k, 4.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 - -11. Let g = -14 + 20. Suppose -5*y + 4*q = -413, g*q - 3*q = -5*y + 399. Calculate the highest common divisor of y and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*c**3 - 3*c**3 - c**3 + (-2*c - c + 5*c)*(c**2 + 4 - 4) + 1 - 4645*c + 16*c**3 + 4645*c.\nAnswer: 20*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1528*p + 36 = -1516*p. Suppose -l = 3*d + 2*d, 4*d + 11 = -3*l. What is the nearest to 0.1 in p, -5\/4, l?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18 + 21. Let p(i) = 4*i**3 + 3 - m*i**3 - 2*i**2 + 4*i**2 - 5*i + 0*i**2. What is p(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -154*s + 124*s + 316680 = 0. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 491 take away 34294303?\nAnswer: -34293812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-12) + (-1)\/3. Let a = 0 - j. Suppose -28 = -k - a*k. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(3\/7)*t\/(t\/((t**(-2\/5)\/t)\/t)))\/((t**1\/t)\/t**6) assuming t is positive.\nAnswer: t**(146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000396 to seven decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42 - -44) + (10 - -2) + -9 - (-10 - 19).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1373\/20273 - 12\/209. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -6 + (-1 - (-4)\/(-723)*-1263). Let h = -973\/723 - n. Put 2\/7, -4, -1\/4, h in ascending order.\nAnswer: -4, h, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23756 is divided by 279?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -345 - -348. Suppose 18 = 3*o - 0*t - 2*t, o = -3*t + 6. Solve -d + o*s - 5*s - 5 = 0, -25 = -k*d - 5*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -13724, -27329, -40708, -53747, -66332, -78349?\n\"Answer: 19*w**3 - w**2 - 13735*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1404)\/(-312) + 50\/(-8)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -512\/61 - -394447\/47031. Let u = d + 16735\/4626. Find the common denominator of u and 19\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 - (574\/(-20))\/(6\/18). Suppose -418 = -4*g - 66. Let z = a - g. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -4*u + 3242 + 1697, 0 = 3*u - 5*k - 3717. Let d = u - 237. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6348 and 1007400.\nAnswer: 23170200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 462\/(-77)*(-4)\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 83*s. Let a(g) = 166*g. Determine 4*a(d) - 9*n(d).\nAnswer: -83*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -2292*s**3 - 5*s**2 + 10. Let m(c) = 3158375*c**3 + 6891*c**2 - 13782. Give -5*m(i) - 6891*p(i).\nAnswer: 2297*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -12*b - 31. What is m(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 113 (base 4) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 514691 is divided by 64332?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34449443 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**4\/2 + 5*z**3 + 67*z**2\/2 + 58*z + 30.\nAnswer: -(z - 15)*(z + 1)*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(147) + -1*sqrt(147))**2 + sqrt(216)\/sqrt(8) - 3*(sqrt(18)\/sqrt(3))\/sqrt(2)) + (2*sqrt(162))\/((3*sqrt(726) - sqrt(726)) + sqrt(6)).\nAnswer: 6*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 8, 6*v + h - 916404 = 2*v. What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 10091311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(105)\/((sqrt(448) - (-2*sqrt(448) - sqrt(448))) + sqrt(448) - sqrt(448)))\/(5*sqrt(27) - -1*sqrt(3)*-3) + 3.\nAnswer: sqrt(5)\/384 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from avqababnqqaaanvao.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 195520 is divided by 1007.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 3*u - 43 = 0, 8 = -2*g - 5*u + 29. Let o = g + -6. Suppose o*f = -5 + 27. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149.92 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15, 19, 29, 45?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of -9*w**4\/4 - 5*w**3\/3 - 4. Find the third derivative of o(d) wrt d.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -3*s**4\/8 - 198102*s**3 - 104940568989*s**2\/4 - 19072550364330*s - 27807444255756675\/8 = 0.\nAnswer: -263771, -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (50\/325)\/(1\/(-91)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/4)*z)**(-49)\/((z**(3\/5)\/z)\/(((z\/(z**(1\/2)\/z*z)*z)\/z)\/z*z)) assuming z is positive.\nAnswer: z**(-1207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 912 divided by -6.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7021*t**3 + 21056*t**3 - 7021*t**3 + 575*t**2 - t - 7015*t**3 to the form k*t**2 + l*t**3 + j*t + p and give k.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*2\/4*(-76)\/(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3186*j**2 + 633*j.\nAnswer: 3*j*(1062*j + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000728935 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 4*w**3 + 120*w**2 + 644*w + 936. Let s(f) = 5*f**3 + 122*f**2 + 645*f + 936. Let d(h) = -3*a(h) + 2*s(h). Find i, given that d(i) = 0.\nAnswer: -52, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 9:39 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = -2*f + 115 - 3, -6*f = 13*z + 4*f - 11*f + 56 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2, 10\/41, 0.3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -j**3\/7 + 34129*j**2\/7 - 272984*j\/7 + 545936\/7 = 0. Calculate j.\nAnswer: 4, 34121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 4.1. Let r(d) be the third derivative of d**6\/120 - d**5\/5 + 11*d**4\/24 + d**3\/2 - d**2. Let f be r(11). What is the closest to i in 1\/29, f, -2\/5?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 30 - 25. Suppose 0 = -2*a + k + 10, 1 - 3 = -2*a - k. Suppose -4*z = -h - a. Calculate the smallest common multiple of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -1. Suppose x*j = -j + 168. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -2*g**3 - 9*g**2 - 19*g - 27. Suppose 13*j - 11*j = -24. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 373226790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 112 - 112.1. Let g(w) = w**2. Let q be g(-1). Sort m, q, 0 in decreasing order.\nAnswer: q, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30616567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gagh when four letters picked without replacement from {g: 2, i: 2, h: 2, b: 5, m: 3, a: 2}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 4*l**2 + 25*l + 556. What is the thousands digit of y(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4017 and 3.\nAnswer: 12051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 - (-4 + -15 + 10) - (0 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56 is divided by ((-220)\/(-30) + -8)*-48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/(-12))\/((32\/(-6))\/(-4)). Let o be (0 - 1) + 0\/(-2). What is the second smallest value in 2, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5037384315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23861\/8 + 2974. Let y = -1879\/500 + 1\/125. Find the common denominator of y and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 47 = 109*b - 112*b, -8*r + 85 = 5*b. Solve -r*h + 12 = -v, 0 = -4*h - 133*v + 134*v + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -937*t**2 - 46*t - 13. Let y(a) = -1406*a**2 - 70*a - 20. Let h(l) = 7*x(l) - 5*y(l). Is h(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the first derivative of 7*a**4\/4 - 4*a**3\/3 + 7*a**2\/2 + 21. Is 13 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - 3*o + 3*o)*(3*o - 2*o - 2*o)*(-9*o - 38*o + 29*o)*(130 - 143 + 82).\nAnswer: -2484*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(6\/13)*y*y**(-8\/5) assuming y is positive.\nAnswer: y**(56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8\/51 + 1769\/102. Suppose 80*o = 19 - 24 + 1365. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-1))\/(2\/20*5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*h**3 + 4932*h + 113*h**3 - 59*h**3 + 28 - 28 - 4932*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 13. Suppose 2*n = -5*r - 42, -3*n + 2*n + r - 14 = 0. Let a be (n\/z)\/((-6)\/9). Sort -7, 0, a in decreasing order.\nAnswer: a, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/((-6)\/(-18)) + 8*1. Suppose i*m - 11 - 34 = 0. Suppose -m*q + 17 = -8*q. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sl when two letters picked without replacement from {s: 5, l: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10686629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 53969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 1358\nAnswer: -1\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 6:03 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26793660?\nAnswer: 2, 3, 5, 446561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -1035.08 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 954 and -220365?\nAnswer: -210228210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 6 + 4)*(0*w - 4*w + 2*w - 3*w + 0*w + 2*w + 2 - 2 + w + (0*w + w + w)*(5 - 1 - 2) - 2 + 2*w + 2 - 876 - 16*w + 876) as h*w + c and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lllllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2\/5, 3, -2.8, -6\/11, 3\/5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -h**4\/6 - h**3\/6 - 3*h**2\/2 - 1. Let u(n) be the second derivative of b(n). Let s be u(-3). Solve 0 = -3*x + 1 + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -138 + 115. Let c = x + 27. Let f = -0.01 + 3.01. Sort 2\/3, -2, f, c in increasing order.\nAnswer: -2, 2\/3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*g**2*u**3 + 843876*g**2*u**2 - 8*g**2 - 452*g*u**3 + 3861*u**3 wrt u.\nAnswer: -12*g**2 - 2712*g + 23166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + 2*sqrt(153)*5 + sqrt(153) + sqrt(153))) + sqrt(153)*2*-4)\/((sqrt(225) - -2*sqrt(225)) + -2*sqrt(324)).\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fnr when three letters picked without replacement from {n: 7, f: 7, r: 5}.\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -583 + 883. Let k be 4*-1*30\/n. What is the nearest to k in -0.2, -5, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of -175*y**4\/24 + 32*y**3 + 64*y**2 + 2. What is the derivative of r(c) wrt c?\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12571012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6.16 - 5.46. Suppose s + 2*g + 0 = -1, 4*g = -5*s - 5. Which is the nearest to s? (a) 2 (b) 1\/3 (c) -0.3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 580670217?\nAnswer: 3, 2011, 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*j = 49*j + 242 - 1082 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r. Let a(u) = 16*u - 3. Let f(z) = a(z) + 6*k(z). What is the units digit of f(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110113748?\nAnswer: 2, 27528437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 8 - (-14 + (-13 - -9) + 1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/12*3\/18 and -37\/11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 2*y + 66 = 0. Suppose -v + 5*t + 14 = -y, 4*v - 24 = -4*t. What is the smallest common multiple of 8 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(152)\/(-1*sqrt(8))*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2 and 222369056881.29?\nAnswer: 222369056883.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1283\/4 - -319. Let s = -185653 + 57181095\/308. Find the common denominator of y and s.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1087263980 to the nearest one million.\nAnswer: -1087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be 20\/3*(-21)\/(-28). Solve -2*l - v = -x + 3, 0 = -4*x + 5*l + 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1a07519 (base 12) in base 8?\nAnswer: 24735045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5921169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-3*(-5*(-1 + sqrt(605)) - (sqrt(605) - sqrt(605)*-1)*-2)*1)**2 + -2)*2.\nAnswer: -1980*sqrt(5) + 11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37308 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 3*y - 2)*(-6*y + 4*y + 8*y) - 237*y + 237*y + 17 - 6*y**2 to f + t*y**2 + p*y and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 402*b**2 - 197*b**2 - 204*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -183253.91 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 2*c + 1. Let i be p(7). Let y = 21 - i. Suppose -4*q + 2 = y, q = -2*b - 1. Put 0.3, b, 4 in descending order.\nAnswer: 4, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*x - 14*x = 23760. Suppose x = -61*u + 67*u. What are the prime factors of u?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5956*a - 99 = 5947*a. Let c(k) = 3*k**2 - 10*k - 6. Let i be c(4). What is the greatest common divisor of i and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -137 - -117. Let d be 6\/15 - (-28)\/z - -1. Which is bigger: 6\/407 or d?\nAnswer: 6\/407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pypppppppyppp. What is prob of sequence yyp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 348, 340, 328, 312, 292, 268, 240?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**2 + 3*k - 5. Let q be b(2). Let m be -4*((-10)\/(-8) + -2). What is the second derivative of -r**5 + 4*r**q - m*r + r wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87a0 (base 12) in base 9?\nAnswer: 22453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, b: 2, e: 1}. Give prob of picking 1 e and 2 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 - 6*d + 48. What is o(7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/(-60) + (-11536)\/(-120). Calculate the highest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 104 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -8*s + 16. Let p(m) = -m + 2. Suppose -14*d + 12*d + 2 = 0. Let n(l) = d*b(l) - 6*p(l). Determine n(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-2) + 3\/6. Suppose 3*x - 3*d + 3 = 0, -2*d = -5*x - 3 + t. Let i = x - -2. Solve -n + i*n - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 14024 + 463?\nAnswer: 14487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/84*(-10)\/(-2)*20\/100\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (6\/(-42)*-7 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 938.2926103 to two decimal places.\nAnswer: 938.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-43)*m*m)\/(m*(m\/m**(-2\/25))\/m))\/(m**(1\/16)*m*m*m*m**(-7\/13)) assuming m is positive.\nAnswer: m**(-231941\/5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -294*q + 598*q - 298*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-37)\/(-9) + ((-4)\/36)\/1. What is the closest to 2 in -0.2, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 196 a factor of 7630476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 1364*v - 2764*v + 1380*v = 1660 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*h + 10. Suppose h*d + 0*d + 6 = 0. Is ((-1)\/2)\/(d\/804) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 - 5*d**2 - 2*d - 7. Let k be u(-5). Suppose 1 = 2*r + 5*z - 2, 0 = k*r + 4*z - 1. Let t = -21\/5 + 157\/35. Is r smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-2) + ((-627)\/(-38))\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 3*u + 3. Let g(o) = 6*o. What is the units digit of g(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -9*o - 3. Determine z(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/19? (a) 5 (b) -3\/7 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of 3\/8*i**4 + 3*i + 0 - 7\/2*i**3 - 1\/120*i**5 + 0*i**2. Let b(w) be the second derivative of j(w). Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 992 = -4*o + m + 1039, -o - 18*m + 118 = 3*m for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + 816 + -106 + 110. Suppose 55*r = -g + 60*r + x, 4164 = 5*g - 2*r. List the prime factors of g.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54709232029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + (-12 - -9) - (59 - 12)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) 0.676 (c) -5 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.338 - 0.662. Is x at least as big as 0.0186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4262 rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) -0.4 (c) 4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5169 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 466*d + 16. Let a be (-2)\/(-23) + (-630)\/(-161). Let q be n(a). What is q rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 b, 1 p, and 1 d when four letters picked without replacement from {t: 2, p: 1, d: 3, x: 1, b: 1, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Round -0.00032816032 to seven dps.\nAnswer: -0.0003282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*x**2 - 2*x - 30*x**2 + 3*x)*(91*x + 25*x - 20*x).\nAnswer: -1440*x**3 + 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**1\/v)**(10\/3))**(-4\/5))**(-49) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/2773528 and -71\/91894.\nAnswer: 30508808","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8646 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -124*t - 9846 = -1662 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 - -10)*(-5)\/35. Let q(i) = i**3 - 4*i**2 - 4*i - 2. Let c be q(5). Let r(v) = 2*v - c*v + 1 + 0*v. Let u(d) = d**2 + 3*d - 1. Give n*u(t) - 3*r(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -2 - 3*t**2 - t**2 - 5*t + 3*t**2. Let q be ((-96)\/(-56))\/((-4)\/14). Give v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 3*z + 6. Let y = 832 + -825. Determine q(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1887*n + 65865 = -32259 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*i + 4*o + 32, -2404 = -i + 4*o - 2387 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 - 2*j - 1. Let f(p) = 4*p**3 - 16*p**2 - 124*p + 4. Let k(m) = -f(m) - 5*x(m). What is the second derivative of k(s) wrt s?\nAnswer: 6*s + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -917 + 919. Let v = 3 - 6. Let a be v\/(-1) - 4\/2. Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -701 = 129*x + 718 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*w = -22*w - 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(19) - (sqrt(19) + -2))*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/31, -5, 2\/7, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4604 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2638307?\nAnswer: 7, 23, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1384 - 1385 = n, -2*h + 5*n = -47 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 + 0)*(4*g - 6 + 6)*(-3 - 86 - 45)*(3 + 0 - 2).\nAnswer: 2144*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-17)\/(-19244))\/((-2)\/(-194)) and -71\/16?\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-29 - -65) + -338 + 287\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -48 in -5\/3, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/11 and ((-2)\/24)\/(6\/315).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 4*g - 4*z + 17, -22 = 5*g + z. Let p(n) = n - 4. Let q be p(8). Suppose -2*r = -6 + q. Which is the closest to r? (a) g (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 5*x + 1795 = 0, a + 108*x = 103*x + 545. What is the greatest common factor of 5525 and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -109, -227, -349, -475, -605, -739?\n\"Answer: -2*r**2 - 112*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-7)*1 + 45444\/98. Let b = -273 + m. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**(2\/11))**31*c**(1\/4)*c**(-10) assuming c is positive.\nAnswer: c**(687\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19891 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, p: 12, z: 3}. What is prob of picking 1 z and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f + 2*k - 642, 646 = 5*f - 4*k + 5*k. Calculate the lowest common multiple of 60 and f.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 + 3*p - 7. Let r be g(-5). Let o be 4 + -1 + -3 - 4. Is 15\/((-2)\/o*r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, -1, 34, 1\/2 in ascending order.\nAnswer: -1, -2\/7, 1\/2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + 2. Suppose 15 = x*a - 10. Let p be (-14)\/10 + (6 - a). Put p, 0, -2 in increasing order.\nAnswer: -2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1699836207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 2237038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3808*b**3 - 40*b**2 + 71*b**2 - 31*b**2 - 1908*b**3 - 1907*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-7)*x)\/x)\/x**(-2\/3)*(x*x\/((x\/x**(-2\/9))\/x)*x)\/(x\/(x*x**(-1\/2)*x)*x) assuming x is positive.\nAnswer: x**(-73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 3*y**2 + 3*y. Let b(f) = -f - 1. Let r(i) = -2*i - 2. Let k(o) = o. Let j be k(-3). Let l(g) = j*r(g) + 5*b(g). Let p be l(-3). Determine x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.06, 2\/7, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.074 * -4.\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 34866 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2. Let r(k) = 6936195*k**2. Calculate i(r(t)).\nAnswer: -48110801078025*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4859 and 4633.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -6*j**2 - 31*j + 7. Let t(b) = -3*b**2 - 16*b + 3. Calculate 7*t(f) - 3*w(f).\nAnswer: -3*f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13, -34, -69, -124, -205, -318, -469, -664?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -76 + 113. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -4529, -9431, -14705, -20351, -26369, -32759?\n\"Answer: -186*w**2 - 4344*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -539, -3, -258, -4 in decreasing order.\nAnswer: 1, -3, -4, -258, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 7, y: 1}. What is prob of sequence xy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17.49 - 21.972. Round d to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 2 + 3)*(-3*i + i - 4*i) in the form p*i + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 446 times 1302099\nAnswer: 580736154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 16\/352*33*(-190)\/95*(-26)\/15\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -908? (a) 3\/7 (b) -0.16 (c) 0.5 (d) -0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cy when two letters picked without replacement from ecqceqcypeccceccccc?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 3*j - 3*r = -15, 0 = -2*r + 4. Let t = 0 - j. Are t and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/((d**(-20)\/d)\/d))\/d)**24*(d**8)**(-42\/11))**(1\/10) assuming d is positive.\nAnswer: d**(2736\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 - 200*b**2 + 8307*b + 783. Calculate k(59).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the third derivative of f**6\/120 + 7*f**5\/60 - f**4\/12 + 5*f**3\/3 - 17*f**2. Let v be h(-7). Calculate the greatest common factor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - -1. Let r = 20.3265 - 0.0265. Let i = -20 + r. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 143 and 819?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 2*r**2 + 5*r + 33555. Let n be a(0). Suppose -5*o + n = 10*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -6*r. Suppose 4*b - 69 = -5*f - r*b, 4 = -b. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.132 * 7.\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.44476 (b) -17 (c) 0.4 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 PM and 1:37 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 5*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -363 = 31*d - 32*d + 4*b, 1113 = 3*d - 4*b. Suppose -3*y = -18 + 6. Suppose -y*o - 15 = -2*h - 313, -5*o + d = -5*h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o + 0*o + 9 = -2*h, 3*o = -h + 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 1842 = -0*b - b, -3705 = -2*b + d. Suppose -8*c + b = -6*c. Suppose -9*k + c = -900. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 - 12*x - 1987. Let b be a(-39). Factor -5\/6*d**b + 4\/3 - 3*d.\nAnswer: -(d + 4)*(5*d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 16*m - 4*m**2 + 4 + m**2 - 23*m + 2*m**2. Let s be p(-7). Let q = -4.7 - -5. Which is the biggest value? (a) s (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/7, -2\/59, 3\/2, -1\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2761, 2730, 2595, 2302, 1797?\n\"Answer: -9*s**3 + 2*s**2 + 26*s + 2742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -19 + (4 - -1 - (79 + -86))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 30105952 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z - z**2 + 7*z**2 - 7*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6745 + -6745. Solve n = y - 3*g + 16, 5*y + 15*g = 16*g - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 + 2)*(431 + 188 - 156)*(5*f - 3*f - 5*f).\nAnswer: -6945*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 216 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 367 - 10*m**2 - 367 + (4*m - m - 2*m)*(-4*m - 2*m + 5*m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/((-20)\/9)*(-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrjjrj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1\/9, 1\/4, -1\/4, 3, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14040.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1107758807 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 - 4*b**2 + 10*b + 4. Let a(k) = -k**2 + 3*k - 15. Let y be a(7). Let i = y + 50. Is o(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3.6 + -0.4. Let z be 21*(-110)\/(-693)*3\/2. Which is the third biggest value? (a) 3\/2 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/6? (a) 1 (b) 30.72 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1169*i**3*q**2 - 5*i**2*q**2 + i**2 + 107*i*q**2 wrt i?\nAnswer: 7014*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 141853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 2 + 1)*(-i + 0*i + 2*i)*(-7 + 7 - 4*i**2).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 264676 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 189121 is divided by 376.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0\/(-3 - (-4 - 0)). Let h(x) = -x**2 - 2*x - 769. Let t be h(s). Let z = -290 - t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/(-5)*1\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 13 = 4*g + 11, 2*g + 2 = 0. Suppose 4*x - f + 0*f + 13 = 0, -i*x - f = 11. What is the remainder when 28 is divided by 11 + 3*x\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 26\/3 - (-2)\/6. Let s = y + -7. Suppose i + 106 = 5*c + s*i, 3*i = -c + 24. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - -53705737425391\nAnswer: 53705737425394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*y = 30*y + 40*y - 2067 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.057231 to three decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the second derivative of -d**7\/14 - 7*d. Factor s(t).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*i - 156 = 13*i + 58*i. Which is the nearest to -1? (a) i (b) 0 (c) 5 (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -3700*j. Suppose -6*q + 33 = -27. Let m(o) = -16*o + q*o - 5*o - 16*o. Let b(n) = -275*m(n) + 2*p(n). Let d(h) = -2*h. Determine d(b(l)).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 167 divide 7041195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 15*f**4\/2 - 87*f**3\/2 - 1785*f**2 - 1968*f + 2736 = 0. What is f?\nAnswer: -12, -2, 4\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10000111 + 10100110010101000?\nAnswer: 10100110100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 53952\/(-5620)*2\/(-8)*10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22101 + 2.9.\nAnswer: -22098.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/14*(-42)\/(-9) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b + 4. Let m be ((-12)\/8)\/(3\/(-4)). What is the smallest common multiple of 7 and t(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the first derivative of 184 - 1\/2*g**2 + 6*g. What is m(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (9\/(-2))\/(-3)*(-6)\/(-9). Let x be (g - (-14)\/(-10)) + (-345)\/75. Sort -1, x, 7.\nAnswer: x, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*g**2*q**3 + g**2*q**2 + 5495*g**2 + 105827*g*q + 3*q**3 wrt g?\nAnswer: 20*q**3 + 2*q**2 + 10990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 368 is divided by 76?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 238*l - 207*l - 93 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**3 - i. Let l be y(-1). Suppose -l*r - 300 = -2*d - r, -5*r - 444 = -3*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 120 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k + 2*v - 38, -29 = -5*k - 430*v + 428*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*h**2 + 3*h**2 - h**2)*(35 + 66 + 5 + 15)*(-7 + 8 + 3) in the form s + d*h**2 + c*h and give d.\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59716 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 198 and 6248385.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 5 + 1 + (-9 - (8 - (7 + -3)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(1280) + sqrt(220)\/sqrt(11)*6)\/(sqrt(100)\/(-1*sqrt(90)\/sqrt(9))*-5).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 55 times 24\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -a (base 15) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 7 - 8 = 0. Let f(g) = 0*g + g**x + g - 2*g**2 + 0*g - 2*g + 2. What are the prime factors of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + (-180)\/(-95))*4\/(-2 - 2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 16111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 369785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = -3*f + 4*y - 6*y, 7*y - 9 = -f - 3*y for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1, 0.09 in increasing order.\nAnswer: -0.4, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 6, b: 4, l: 2, k: 1, d: 4}. Give prob of sequence dlg.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the second derivative of -271*j**5\/20 + 7*j**2 + 20*j + 9. Find the first derivative of v(l) wrt l.\nAnswer: -813*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2607 + -26029\/10. Find the common denominator of 37\/11 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4719) + (sqrt(4719) - sqrt(4719)*-1) - sqrt(39))\/((sqrt(150)\/sqrt(5))\/sqrt(10)) + (1*(sqrt(65) + -3*sqrt(65)))\/(3*sqrt(15)\/sqrt(3)).\nAnswer: 94*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 22, 1.8, 4, -301, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12690)\/1974)\/((-25)\/(-350)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**5\/6 - 2*w**4 - 23*w**3\/3 - 10*w**2 - 25*w\/6.\nAnswer: -w*(w + 1)**2*(w + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 3*x = 211 - 203, 4*u + 16 = 5*x. Let q = 123 + -505\/4. Is q less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1 (c) -138 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l**3 - 406*l**2 - 1582*l + 1990 = 0. Calculate l.\nAnswer: -199, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 169635470 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of -n**4\/4 + 52*n**3\/3 - 103*n**2\/2 + 151*n + 10474. Determine z(50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3357 * -167.26.\nAnswer: -561491.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5328 and 1332.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 3*w**2 + 10*w + 7. Let i(a) = 2*a + 23*a**2 - 14*a + 63*a - 8*a**2 + 36. Let r(m) = 4*i(m) - 21*u(m). Find y, given that r(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(75) + (-1*sqrt(363))**2.\nAnswer: 5*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 286923 + (19 - 63\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**3 + 1292*w**2 - 166136*w + 327120.\nAnswer: -2*(w - 470)*(w - 174)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30, -56, -82, -108?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -104 + 3436301?\nAnswer: 3436164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -118*z. Let f(y) = 135*y - 29. Let r(k) = 55*k - 12. Let n(c) = 2*f(c) - 5*r(c). Determine n(v(p)).\nAnswer: 590*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 - 11*p**2 + 43*p + 19. What is j(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 836 = 2*p, 3*k - 4*p = 1189 + 51. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f\/(f\/f**(-1\/3)*f*f))\/f*f*f))**(-46)*f*((f*f\/(f**0\/f))\/f*f)\/f*f**(1\/16) assuming f is positive.\nAnswer: f**(-5005\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 204*j + 241*j + 3735 + 4275 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -47, -101, -189, -323, -515?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -149267, -148907, -148547?\nAnswer: -148187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1574*g - 26640 = -69138 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 38*z**4 + 158 - 158 + (4*z**3 - 2*z**3 - z**3)*(0 - 2*z + 0) as q + l*z**3 + p*z + b*z**2 + d*z**4 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/((-14)\/(-4)))\/(75\/5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and -6884527 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1090 - 666. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -9461, -9345, -9239, -9149, -9081, -9041?\n\"Answer: -c**3 + c**2 + 120*c - 9581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Is 24055481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -41, -52, -61, -68, -73, -76, -77?\n\"Answer: q**2 - 14*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + -1)\/((-1)\/1). Suppose 10*i = 2*t + 5*i - 16, t - 26 = -2*i. Let l be 9\/12 - t\/(-8). Solve k = -0*z - l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -576? (a) 31\/4 (b) -3 (c) -68 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 1574*u**2. Let l(f) = 6*f**2 - 67*f. Calculate l(z(i)).\nAnswer: 14864856*i**4 - 105458*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -26.45528 rounded to 1 dp?\nAnswer: -26.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8637 is divided by 956.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -931*o + 1887*o - 958*o. Suppose 0 = -3*y - 0 + 9. Let w(i) = 1 + i + 2*i - i. Determine y*k(n) + 4*w(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 100.832 - -17.168. What is the biggest value in 51, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3472987 times 4\nAnswer: 1.3891948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 114*u - 118*u + 5 = -3*r, 0 = -5*r + 2*u - 13. Put r, 3, 1, -1 in descending order.\nAnswer: 3, 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -655 = 4*c + 5*p, p - 5*p = -4*c - 628. Let a = -155 - c. Let m be 0 - 2*(-2 + 3). Put a, m, -4 in descending order.\nAnswer: a, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 39\/5 - 83\/10. Which is the nearest to m? (a) 3\/8 (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6.63 (b) -2 (c) -86.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 3, s: 5, k: 8}. Give prob of sequence ko.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 109, 1235, -3 in decreasing order.\nAnswer: 1235, 109, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqqyqqqqqqqk. What is prob of sequence kq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -11302, -22612, -33944, -45310, -56722, -68192, -79732?\n\"Answer: -2*y**3 + y**2 - 11299*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 601 + -112. Let f = -1414\/3 + a. What is the common denominator of f and 9\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/270 and 103\/5076?\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q**2 - 28*q = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, k: 4, l: 2, f: 2, z: 1, j: 1}. Give prob of sequence fjsk.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1924*a**2*c + 2*a**2 + 432*c - 2 wrt a?\nAnswer: 3848*a*c + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/292 and (-26 + (2 - -6) - -26) + 9\/(-4)?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*p + 984 = 101*p. Solve p*s - 2*s = -20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 525 and 819.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 166654754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**2 - 1. Let w be o(-2). Let i = -2 - w. Let p = -0.0063 + -2.9937. What is the third biggest value in 0.5, i, 1, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 10:17 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 5*v**2 + 3. Let k be z(-5). Let l = 0.04 - -0.16. Which is the nearest to -1? (a) l (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -675, -1354, -2035, -2718, -3403, -4090, -4779?\nAnswer: -5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 141021774205774 - -4.\nAnswer: 141021774205778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*l - 23*l + 52 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 411 a factor of 231078343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-5 - 2) + (-4 - -4) + (2 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (7 - 5) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/(b*b**(1\/2)))\/(b\/(((b*b**(-1\/2))\/b)\/b))*b\/b**(-1\/5)*b*b\/(b*b**(1\/3)*b)*b)**(-32) assuming b is positive.\nAnswer: b**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 - 6*w - 21. Let g be d(9). Find the third derivative of 25*n**g + 17*n**2 - 11*n**6 + 31*n**6 - n**6 wrt n.\nAnswer: 5280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2520 - 8800?\nAnswer: -6290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 2*i**3 + 81*i**2 + 33*i - 218. Give h(-40).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -a - 3 = -4*p, -3*a - 12 = -15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -178 = 5*x - 213. Suppose -2*s - 29 = -2*u - x*s, 0 = -5*u - 4*s + 47. Sort u, -5\/3, -4\/7.\nAnswer: -5\/3, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -115\/749784 and 151\/192?\nAnswer: 5998272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 18\/(-105) - 9\/(-15). Let k = 0.04 + -0.84. Let g = k - 0.2. What is the second smallest value in v, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + 4.15. Let b = g + -0.1479. Round b to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 51925 = -2*b - 49675, 0 = 4*n + b - 101594. Let f be 2 + 7\/(-7) + n\/1. Round f to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.8+-10804.34714\nAnswer: -10803.54714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -77, -84, -93, -104, -117?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 874 divide 813884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-5 + (sqrt(16) - ((sqrt(16)*-1 + sqrt(16) - sqrt(16)) + sqrt(16)))\/sqrt(8)).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3064385, 12257530, 27579447, 49030142, 76609621, 110317890?\n\"Answer: d**3 + 3064380*d**2 - 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 AM and 8:38 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.135 + -0.425. Round a to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 1.37?\nAnswer: 4.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**26\/((q**(-2\/27)\/q)\/q*q))\/(q**(-10))**(-44) assuming q is positive.\nAnswer: q**(-11149\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 335 and 2?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-17 + (-20)\/8*2)*-1. Let i(b) = -b**3 - 3 - 12*b**2 + g*b**2 + 2. What is i(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17 - (5 + -13)) + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44410569?\nAnswer: 3, 7, 31, 68219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (0 - (11 - 1)) + -29 - (-7 + -2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 510749.8 nanometers to centimeters.\nAnswer: 0.05107498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 2452 = 7*l + 2*v, -v + 615 = l. Suppose 2*n - 6*x = -x - 929, -3*x = 2*n + 921. Let w = l - n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 34008575 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1 <= -2\/3643212969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.046 * 135729.\nAnswer: -6243.534","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let a be 1*(-444)\/9*12243\/(-308). Calculate the greatest common factor of a and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -577 (base 12) to base 16.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2639570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/10224 and -77\/3834.\nAnswer: 30672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w**3 + 5*w**2 + 15*w - 15. Calculate l(5).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-30)\/(-9))\/(55\/66). Solve 5*p = u*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/27*-1*85\/(12325\/174).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, m: 6, g: 3, l: 2, r: 3, c: 5}. Give prob of sequence uc.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2550128 + 1274815 - 6*q + 1275313.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22.63 - -22.62. Which is the nearest to 1? (a) 11 (b) u (c) 3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 246 and 861?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (8\/(-20))\/(1\/(-15)). Let h(v) = -11*v + 28. Let r(m) = -5*m + 14. Let s(w) = 3*h(w) - 7*r(w). Let p be s(a). Is p smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -30d25d - c2?\nAnswer: -30d341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.4 - -3. Let h be (0\/(-13 + 14))\/(-2). What is the fourth smallest value in 2, 0.2, h, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the second derivative of -g**4\/12 + g**3\/6 - 35*g - 3. Let t(s) = 3 - 4*s**2 + 2*s - 3. Let c be ((-2)\/(-3))\/(2\/(-6)). What is c*d(a) + t(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -48 + 53. Solve x + 4*y + 0 + k = 0, 3*x + 5*y + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 662757211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 700 - 698. Suppose -5*y + 20 = 5*g, 0 = -4*y - g + 6*g - 2. Solve -f*l + m = -y*m + 14, 4*m - 11 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*b + 0*b - 10*b**3 - 3 + 2*b**3 + 1 in the form i*b**2 + z + v*b**3 + h*b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -20? (a) -162 (b) -5\/3 (c) 0.3 (d) -1\/5 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 658823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 17 and 10435.4?\nAnswer: 10418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2 + -0.3. Let x = -2.081 + 0.081. What is the second biggest value in -5, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19001201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 155291427 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -j**3\/3 + 8164*j**2 - 8163*j - 48982\/3 = 0.\nAnswer: -1, 2, 24491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -65 + 109. Suppose 4 = -10*r + a. Suppose r*f = 5*f - 54. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**1)**(2\/57)\/(t**(-6)*t**(1\/5)*t) assuming t is positive.\nAnswer: t**(1378\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 711939 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 18652687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddq when three letters picked without replacement from {d: 5, q: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 15 and 540336606.\nAnswer: 2701683030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -110, 9, 3 in decreasing order.\nAnswer: 9, 3, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**2 + m. Let k(f) = 10*f**2 - 11*f + 3. Let o(u) = -6*a(u) - k(u). Let s(l) = 3*l**2 - 4*l + 2. What is 2*o(h) + 3*s(h)?\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of l**3\/3 - 2742. Let c(z) be the third derivative of -z**4\/24 + 119*z**3\/3 + 6*z**2. Calculate c(d(o)).\nAnswer: -o**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 50480 at most 50616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 617868*j**3 - j**2 - 617852*j**3 + j**2.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3860)\/(-385) - 25*(-82)\/(-205).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/81608 and -163\/1306536.\nAnswer: 131960136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand i**2 + 0*i + 0*i + (7*i - 4*i - i)*(i - 3 + 3) - 23*i**2 - 14*i - 21*i + 30*i.\nAnswer: -20*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 11623740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 4*x**3 - 81*x + 5. Let g(z) be the second derivative of 3*z**5\/10 - 121*z**3\/6 + 4*z**2 - z - 1367. Determine -5*g(p) + 8*l(p).\nAnswer: 2*p**3 - 43*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 39 + 13. Let g = u - -64. Let v = -23 + g. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -5313*c - 5513. Is f(-50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*z + 12600 = -21*z. What is z rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -101*h**5 + 138*h**4 - h**3*w + 4*h**3 - 2204*h**2*w - 156*h**2 - 174*h*w wrt h?\nAnswer: -6060*h**2 + 3312*h - 6*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 34\/49 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 + g**2 + g + 1. Let i(q) = -9*q - 91. Let p be i(-10). Let m(u) = -9*u**3 + 15*u**2 - 39*u + 9. Let d(x) = p*m(x) - 6*c(x). Solve d(s) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dpah when four letters picked without replacement from {a: 2, d: 1, h: 1, p: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of 0*h**3 + 0 - h + 1\/6*h**4 + 5\/2*h**2. What is the derivative of u(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 92 - 27. Suppose l*z + 12 = 17*z. Factor 2*j**2 - j**3 + j + j**z - 2*j**4 - j**5.\nAnswer: -j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64177 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -9*q**3 - 3*q**2 - 3*q - 2. Let z be j(-1). What is the greatest common factor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -9774, -9799, -9828, -9861, -9898?\n\"Answer: -2*s**2 - 19*s - 9753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (38 + 47 - 104)*(-2 + 2 - d) to q + c*d and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.05 + 1223.35.\nAnswer: 1223.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (-78 - -80)*1*(0 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 320, 0, -3 in descending order.\nAnswer: 320, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(14\/9)*s**16 assuming s is positive.\nAnswer: s**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 5*w**2 + 7*w + 4. Let d be x(-6). Suppose -5*y + 24 = -4*v, -5 - 3 = -y + 4*v. Sort d, 5, y in descending order.\nAnswer: 5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*-3)\/((-30)\/825*33*(-840)\/18).\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 5. Suppose 2*w - s + 1 = 0. What is the second derivative of -2*f - 3*f**4 - w*f + 2*f wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208)*2 + sqrt(13))**2 + -5 - (4 + 1 + sqrt(52)).\nAnswer: -2*sqrt(13) + 1043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3639887\/4710 + 3864\/5. Are -1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14 - -14. Suppose q*w + 5*w - 15 = 0. Find the first derivative of 0*h - 14 + 0*h + 13*h**w wrt h.\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 + -3. Let h = x + -6. Let d(f) = f**3 - 5*f**2 - f - 2. Determine d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**18*v)\/((((v\/(v**(-24)*v))\/v)\/v)\/v))**(-2\/3) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 6 = 3*h. Suppose 2*w - 2*s = -20 + h, 0 = -4*w - 5*s + 9. Let i be (-3)\/((-5)\/w + -2). Solve -3*c - 2*u - i = -0, 0 = 2*c - 2*u + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 104*p + 86*p + 3 - 3 as l*p + r and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9 - 0 - -1) + -2. Let q be (-135)\/p*(1 + -5). What are the prime factors of ((-6)\/(-9))\/((-4)\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/18 and -2 + -7 + 15596\/1752.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -3*c - 13, 2*c + 3*d + 14 = 7*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 5 (b) 1 (c) -0.4 (d) 1.6 (e) -331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**2 + t**2 + t**2 + 2*t - 5. What are the prime factors of j(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate m**2*u - 2058*m**2 - m*u + 10488*u wrt m.\nAnswer: 2*m*u - 4116*m - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - -100121100111111?\nAnswer: 100121100111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -2325 != -2325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 3*i**3 + i**2 + 2. Let s(n) = 1365*n**3 + 698*n**2 + 12. Let r(b) = 6*o(b) - s(b). Find the third derivative of r(k) wrt k.\nAnswer: -8082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*q - q + 5*q)*(0*q**2 + q**2 + q**2 + (-q + 0*q + 2*q)*(-5*q + q + 3*q) - 2*q**2 + 3 + 6 - 4).\nAnswer: -15*q**3 + 75*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.33 and -11214.\nAnswer: 37342.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (3*10\/14)\/((-32)\/(1280\/60))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.5, -4\/7, -3, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3531)\/44*4\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z - z - 4. Let j be 1\/z*0\/(-4). Suppose j*s + 3*s - 21 = 0. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3345 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3 + (-3)\/(-12) + (-86)\/(-8) and -24*(2 - 5\/2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 * 1.2\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -91, 20, -4, -2 in increasing order.\nAnswer: -91, -4, -2, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z**2 + z + 2. Let g be l(0). Let j be 3\/(-2)*20\/(-30). Put g, j, -5 in descending order.\nAnswer: g, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 192 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 45665 - 2797. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (1*(4 + sqrt(475) + 1) - (sqrt(475) + ((-1*sqrt(475) - sqrt(475)) + sqrt(475))*-5)*-2) + -5)**2*1.\nAnswer: -650*sqrt(19) + 80300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 759.5721l to millilitres.\nAnswer: 759572.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*w + 10*w + 40*w = 0. Put -1\/8, -27, w in decreasing order.\nAnswer: w, -1\/8, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 8 = -4*x - 5*v, -10 = -x - 4*v. Let t(n) = -n**3 - 9*n**2 - 19*n - 6. Let m be t(x). Which is smaller: m or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -508627\/26 + 19565. Let x = 12\/13 - n. Let r = 0 + 4. What is the third biggest value in r, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 125 + -61. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange q**2 - q - 24*q**4 + 25*q**4 - 9*q**4 - 6 to the form j*q**4 + y*q**3 + o*q + k*q**2 + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor g**4 + 18*g**3 - g**2 - 18*g.\nAnswer: g*(g - 1)*(g + 1)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 25*t**3 - 12*t**2 - 15*t. Let y(j) = 74*j**3 - 32*j**2 - 39*j. What is -8*c(r) + 3*y(r)?\nAnswer: 22*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/439 (b) -0.4 (c) -5105.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*k**0*k))**(-24)\/((k*k\/(k**0\/k))\/k)**(-10))\/((k**(1\/2))**(1\/10))**(2\/7) assuming k is positive.\nAnswer: k**(3079\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - (-2 - -8)) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 1 - 18\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -14*q + 1. Let g be s(-1). Suppose r + g = 4*r. What is the remainder when 7 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.9 and 813888.\nAnswer: -1546387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 3*t - 8853 = 4*t, 2*s + 2*t = -4422. Let v = 3427 + s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 8:40 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes after 3:46 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z**2\/5 - 15252*z\/5 - 15254\/5 = 0. Calculate z.\nAnswer: -1, 7627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w, 1 g, and 1 h when four letters picked without replacement from hgqqoohwoowwoogoqwhg?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*z - 2*z - 61 + 60)*(-19*z**2 - 12*z**2 + 7*z**2).\nAnswer: -72*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-1*sqrt(99))\/((sqrt(90)\/sqrt(2))\/sqrt(5)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -108470651, -108470653, -108470655?\n\"Answer: -2*b - 108470649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 5*h + 14*h - 21*h - h. Let f(d) = 3*d**2. What is j(f(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010100000 + 1110?\nAnswer: 10010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*i = 58*i - 84. Let a(s) be the second derivative of -5*s**3\/6 + 5*s**2\/2 + s. Let o(p) = -4*p + 4. Determine i*o(r) - 6*a(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 6\/(-12)*-2)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tiqjdiigtqigdgd. Give prob of sequence tgqd.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1092)\/(-18018) + (3436\/(-66) - -3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 731, 641, 425, 29, -601, -1519, -2779?\nAnswer: -4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4*c + 0 - 4*c + 4*c - c + (2*c + 1 - 1)*(-1 - 4 + 4))*(0 + 1 - 3)*(0*c + c - 22*c**2 + 16*c**2).\nAnswer: 12*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -460.9325 - 0.4?\nAnswer: -461.3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**3 + 3*k**2 - 6*k - 5. Let w be b(-4). Suppose -12 = -5*z - 37, -42 = -3*s + w*z. Suppose -230 = -s*p + 4*p. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2. Let n(s) = 8*s**2. Let i = 929 + -901. What is i*m(a) + 4*n(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14369.7 - -15308. Let f = i - 938. What is the third smallest value in -2\/21, f, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 27 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 1. Let r(v) = 3*v - 49. Let i(a) = 4*m(a) + 2*r(a). Let s be i(21). What is the highest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (2 + 13) - ((0 - -1) + 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2448 - 755. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -220*g + 1838. Calculate z(7).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 405 and 13203.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6 + -3)\/(9\/(-4) + 3). Suppose 3*g = m + m + 5356, 5*m + 7146 = a*g. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**17*w)\/w**(-2\/9))\/(w\/w**(-1\/5))**49 assuming w is positive.\nAnswer: w**(-1826\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 - m**2 + m + 20. Let i(o) = -3*o**3 - 11*o**2 - 7*o + 1. Let d be i(-2). Suppose 0 = 2*z + 2 + 4. Let a be (-1)\/(d\/15) + z. What is k(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 1\/3*i**3 - 1\/3 - i**2 + i = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 190 and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -118*p**4 + 199*p**4 - 138*p**4 - p**4 + 4*p**4 - p**4 + (2*p**2 - 2*p**3 - 2*p**2)*(-p + 0*p + 0*p) - 1 + p**4 + 1.\nAnswer: -52*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30 - 49. Let c = s - -19.03. What is c rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -17930000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -256*v**3 + 2*v**2 - v + 1. Let p be ((-2)\/(-4))\/(3 - (-26)\/(-8)). Is m(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/6 - (-1)\/(-3). Let x(k) = 2*k**2 + 2*k + 1. Let l be x(a). What is the greatest common divisor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 70\/27 and ((-4)\/5)\/(9\/(-39)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 2:42 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i - 693. Let o(c) = -5*c + 1486. Give -3*o(d) - 5*y(d).\nAnswer: 5*d - 993","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 5 = 4. Let n(y) = -3*y - 3. What are the prime factors of n(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000035 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 12, a: 1}. Give prob of picking 4 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 464064 and 18.\nAnswer: 1392192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 - -10. Suppose l - 4*l = 3*y - 12, 0 = y + 3*l + 2. What is the greatest common divisor of f and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15 - -31. Suppose -d = -l - l. Suppose -4*x - 3*z + 12 = 0, -5*x = 2*z - 3*z - 15. Solve l*v + 10 = x*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -781 - -816. Solve 0 = 5*r - 5*v - x, 0*r - 2*r + 4*v = -20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1874093 take away 0.021?\nAnswer: -0.2084093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 767*h + 69046. What is k(-90)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.008 - -3.992. Let y be (-35)\/(-21) + -1 + -1. What is the third smallest value in z, -2.5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - -14) + (-2 - -3) - (-54 - -45)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 54154.6 and -0.1?\nAnswer: 54154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k - 5*k + 3*k)*(-4*k - 3*k + 2*k)*(-2 + 2 - 1) - 3*k**2 + 7*k**2 - 2*k**2 - 3.\nAnswer: 7*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18 + -9. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 3*h + 604 = 4*w, 2*w + 4 = 0. Let f = -104 - h. Round f to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7349933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes after 11:25 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the third derivative of -q**5\/30 - 7*q**4\/12 + 6*q**3 - 204*q**2. Determine j so that h(j) = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 33*k - 33*k - 77*k**2 + 81*k**2 - 10 to the form x*k + b + h*k**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -31 - 3*i - 38*i + 91 - 31*i + 27*i**2 - 3*i**3.\nAnswer: -3*(i - 5)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 3\/17, -5, 22 in descending order.\nAnswer: 22, 3\/17, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -1 + 7 + 3 + c + 7. Let v = 28 - 20. What is the lowest common multiple of a(-9) and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -859635, -859642, -859663, -859704, -859771?\nAnswer: -859870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 476977 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 0.01, -579 in descending order.\nAnswer: 7, 0.01, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 25\/((-175)\/336)*58\/(-3). Suppose -a - 892 = -7*i. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2545, -5088, -7631, -10174, -12717?\nAnswer: -15260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 1, -18\/5, 128.7, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-78)\/(-12)*(9 - 56\/8). Let i(l) = -l**3 + 12*l**2 + 11*l + 12. Give i(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 411627 divided by -3.\nAnswer: -137209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 3*c - 30, 4*g = 7*g - 9. Solve -2*v + c*t - 18 = 0, 5*v + t + 16 = -t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -2*w + 33. Let y(o) = -o**3 + 2*o - 2 + o**2 + 6*o**2 + 10. Let m be y(w). Calculate the highest common factor of 44 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 715, 1399, 2055, 2683, 3283?\n\"Answer: -14*h**2 + 726*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -3*a**2 - 4. Let w(i) = 3*i**2 + 3. Suppose 3*l = -5*u + 11, 0 = 4*l - 5*u + 1 - 4. Suppose 1 = l*z + 5. What is z*m(g) - 3*w(g)?\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 33459774\/13 or 2573830?\nAnswer: 2573830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 164808 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 + 13. Solve 4*z = 2 + d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 2*z + 7. Let l = -18 - -22. Let w be x(l). Is (w\/(-5))\/(1 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*z - 108*z**2 - 314*z + 347*z.\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 4*g + 477*g**2 + g**3 - 479*g**2 - 4*g**4 - 11*g in the form u*g**4 + s + x*g**3 + q*g + a*g**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 + 3.9. What is o rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 18? (a) -1102 (b) 3 (c) -2\/3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 7*m. Let b(y) = 15*y - 1. Determine -2*b(l) + 5*s(l).\nAnswer: 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -6618.58 - 1097.9\nAnswer: -7716.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (3 - 2) + 7 - (1 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 282*o = -277*o - 65, -2*t = -3*o - 21. Calculate the greatest common divisor of t and 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s + 4 + 11 + 4 + 7*s**2.\nAnswer: 7*s**2 - 3*s + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -22 (base 3) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7 - 1492*m**4 - 3*m**3 + 916934*m + 4*m**3 - 916698*m + m**2 wrt m?\nAnswer: -17904*m**2 + 6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 9\/14 of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.035 and 29.15141.\nAnswer: 1.02029935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8 or 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/5)\/(-5*81\/(-90))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 + 10)*(1 + -3). Let o be (10\/8)\/((-6)\/n). Determine v, given that -39*v**4 - 20*v - 3*v**o + 27*v**2 + 12 + 12*v**5 + 39*v**3 - 26*v - 2*v = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 596722150 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 - 2*h - 1. Let r be c(-1). Suppose 2*a - a - 6 = r. Sort 1, a, -5 in descending order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 37 - 27. Calculate the greatest common divisor of 70 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1516367243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, 0.03, -0.507?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dxydmx. Give prob of picking 2 d and 1 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the second derivative of d**3\/6 - d**2\/2 - d - 527. Let o(t) = -35*t + 4. Determine 2*o(g) + 6*p(g).\nAnswer: -64*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -39*s**5 - 7*s**3 - 108*s**2 wrt s?\nAnswer: -2340*s**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -15627, -15446, -15267, -15090, -14915, -14742, -14571?\n\"Answer: -b**2 + 184*b - 15810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 440*p**2 - 65*p - 65. Let m(c) = -21*c**2 + c**2 - 50 + 24 + 2*c + c + 29. Determine 6*j(n) + 130*m(n).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.387 + -1.37789. What is v rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**5\/19 - 32*a**4\/19 - 148*a**3\/19 - 232*a**2\/19 - 158*a\/19 - 40\/19.\nAnswer: 2*(a - 20)*(a + 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1460*h**2*u**3 + 424*h**2*u - 2*h*u**2 wrt u?\nAnswer: -8760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 5*f + 14 = 56, -5*d + 5*f = -75. Suppose -w = d*w - 24. Factor -3\/2*m**3 + 0*m**w + 3\/2*m + 0.\nAnswer: -3*m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 7 - 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -m + 54, m - 48 = -0*m - 5*i. Let k = m - 47. Factor 3*j**2 + 3*j**2 - k*j**4 + 3*j**2 + 4*j**4 - 3*j.\nAnswer: -3*j*(j + 1)*(2*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 21 - 430191?\nAnswer: -430170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 820*t**2 - 405*t**2 + 2*t**3 - 413*t**2 + 555 in the form b*t**3 + l*t**2 + g + i*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(-5) - 1 - (131 - 130)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2. Let s(w) be the third derivative of -w**5\/8 + w**3 + 14*w**2. Let m(k) be the first derivative of s(k). What is o(m(h))?\nAnswer: -225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.03505 and -4.46714.\nAnswer: -4.50219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, a: 5, p: 5}. What is prob of picking 1 p and 3 a?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**(-4\/7))\/(h**(-3\/8)\/h)*(h\/(h**(1\/3)\/h))**(-6\/5) assuming h is positive.\nAnswer: h**(45\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -191*i - 66*i + 7020 = 94*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -196, -389, -576, -757, -932?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 5*t**2 + 202*t + 76. Let j be g(-40). Which is the closest to 1? (a) j (b) 13 (c) 0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3252 - 3217. Calculate the smallest common multiple of 30 and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 5*y - 3*y**2 + 4 - 4*y**2 + y + y**3. Let c be x(6). Solve 0 = -5*z, 1 + c = -m + 3*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -205*n**2 - 13*n - 12. What is d(-1)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 196 = 312. Suppose 21 + y = 5*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 2*a - 59, -2*o - o - 19 = -a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.05 - 0.95. Suppose 0 = -5*u - 6 + 11. What is the closest to -0.1 in u, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44334 is divided by 14772?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 - 168\/45)\/(12\/(-10)). Let x = 25\/3 - 169\/21. Put -0.5, h, x in decreasing order.\nAnswer: x, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 7. Suppose -2*o = 4*u - 8, -q*u + 2*o = -o + 2. What is the derivative of u + 3 + 2*m - 1 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 * 18.175.\nAnswer: 163.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2\/2*(8 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12.987 - 0.013. Let c = x + -14. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -132 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 1916148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6586 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 437*y**2 + 5*y - 21. Is f(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 419\/35 - 88\/7. Let f = 11.2 + 0.8. Let q = f - 12. Which is the nearest to -1? (a) 4 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 68380 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p. Let z(h) be the first derivative of -2*h**3\/3 - 7*h + 31. Calculate z(b(v)).\nAnswer: -2*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the first derivative of -33*q**4 - 277*q - 138. What is the derivative of s(m) wrt m?\nAnswer: -396*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of 7*n**6\/120 - n**5\/30 - n**2. What is the remainder when x(2) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000027 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21)\/sqrt(7))**2*3 - (sqrt(363)*4)**2.\nAnswer: -5799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 - 3 = 5*t. Suppose 5*x + r = 25, 2*x - t*r - 34 - 3 = 0. Let a be -20*((-1)\/2 + -1). What is the highest common factor of a and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 7*b**2 + 2*b. Let z(o) = -12*o - 3. What is t(z(s))?\nAnswer: 1008*s**2 + 480*s + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of k**2 + 200*k + 11. Does 38 divide a(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 2*g - 8, -5*d + g - 1 = -11. Suppose -y + d = -3. Suppose -y*v + 14 = -3*z, -v + 0*z + z = -4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b + 0*b - 6096872*b**2.\nAnswer: -6096872*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1320 + 1323. Solve 4 = -b*q + 3*r - 11, q - 4*r + 17 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + 4*c + 44 = 32, 0 = 5*g + 4*c + 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 37 - -2. Let z = -31 + v. Calculate the smallest common multiple of z and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.064693 in -0.066, 2, 5?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -156788, -156783, -156778?\nAnswer: -156773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 10*a**2 - 3*a. Let y(o) = -130*o**2 + 40*o. Give -40*j(b) - 3*y(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03 minus -46595201145?\nAnswer: 46595201145.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -292791 divided by 3.\nAnswer: -97597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 86 and 2795?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5493 + -3054. Calculate the remainder when r is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t - 3 - 2 = -23. Solve -60 + 45 = t*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5820*z**3 + 100934 wrt z?\nAnswer: 17460*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15\/4 + -4)*-3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 1*(5*sqrt(121)*1*1)\/(sqrt(55)\/(sqrt(5)*-1) - (sqrt(11) - ((sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176)*2))) + sqrt(176) + sqrt(176))))*-4.\nAnswer: -10*sqrt(11)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 10*v**2 + 5*v - 11. List the prime factors of n(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -833846, -833844, -833840, -833834, -833826, -833816, -833804?\n\"Answer: b**2 - b - 833846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l + 2. Let q be u(3). Suppose 4*m - 3 = 1, 1 = -h + q*m. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (399\/456 - 22) + 21.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/3))**(-17\/3)*(p*(p*p*p**(-2)*p)\/p)\/p**(-3\/2))**(-11) assuming p is positive.\nAnswer: p**(-869\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m, 1 e, and 1 p when four letters picked without replacement from pisempempp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 14 + (-21 - (-7 - -3)) + (0 - 10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 2*t**5\/3 - 68*t**4 - 146*t**3 + 2264*t**2\/3 + 832*t = 0.\nAnswer: -4, -1, 0, 3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -141*l**2*r**2*z - 606*l**2 + 7*l*r**3 + 13*z wrt r.\nAnswer: -282*l**2*r*z + 21*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p**2. Let j(o) = 9*o + 26. Calculate j(z(u)).\nAnswer: 27*u**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**4 - 420*n**3 - 4410*n**2 + 555660*n + 8751645.\nAnswer: 5*(n - 63)**2*(n + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11666, -45793, -102678, -182327, -284746, -409941, -557918, -728683?\nAnswer: -922242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*a*v**3 + 5965*a*v**2 + 5*a*v + v**3 + 2*v**2 + 2678*v - 2 wrt v?\nAnswer: -12*a*v + 11930*a + 6*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -469 - -299.5872?\nAnswer: -169.4128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the third derivative of 0*i + 1\/8*i**4 + 0 + 1\/12*i**5 + 11*i**2 - 1\/2*i**3. Let z(u) = u**2 + u - 1. Give s(q) - 4*z(q).\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(6\/13)*(x*x**(5\/7))\/x)**(-15\/4) assuming x is positive.\nAnswer: x**(-855\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 3*u = 5, -28*r + 38*r = -2*u + 10*u - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -9046, -9050, -9058, -9070, -9086, -9106?\n\"Answer: -2*w**2 + 2*w - 9046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -2340?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8152 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**2 - 7*h + 3. Let r be j(-7). Suppose -r*s - 15043523 - 3316480 = 0. Let o be s\/(-6) - 2\/12. Round o to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/9*1*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 19.131, -3.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 252 and 2603364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:55 AM and 6:20 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**2 - 4*u - 2. Let b be 19 + 2\/(2\/(-1)). Let i be b\/4 + (-3)\/(-6). Let z be n(i). Solve -z = -4*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14 in 0.1, 1\/8, 2\/3, -0.0121, 6\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 180025069 and 23492?\nAnswer: 5873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2222211103 + -1203?\nAnswer: -2222212312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + 2*j**2 + 2*j)*(2*j**2 + 0 + 0) + 324 - 324 - 31*j**4.\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 + 18. Let y be (-2 - -1) + (-3 - -9). Suppose 3*u - y*u = -10. Solve 0 = 3*f - c*g + 20, 10 = u*f + 5*g - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -22*v + 611. What is j(30)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 4)*(2*k**2 + k**2 - 7*k**2) - 1 - k**2 + 1.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + -3 + 8 - 29 - (-21 - -19)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-11)\/(-12) - (14\/(-6))\/7. Which is the smallest value? (a) -1 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6529*f**3 + 2 + 9 - 16 - 6533*f**3 + 5.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3 + -1 - 8792\/(-56). Calculate the highest common factor of x and 1309.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4067 * -1714\nAnswer: -6970838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -4*r. Let b(z) = 6*z - 2. Determine i(b(a)).\nAnswer: -24*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 8bd (base 16) in base 5?\nAnswer: 32422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-18))\/((-14)\/21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the first derivative of -s**5\/20 - s**3\/3 + s**2 - 3. Let o(n) be the second derivative of c(n). What is the derivative of o(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, k: 4, n: 2, c: 3, s: 2, u: 3}. Give prob of picking 1 u and 2 c.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -2839714\/5 - 1156*u**3 - 34*u**4 - 167042*u - 19652*u**2 - 2\/5*u**5 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -581 + 581 + 535*g - 596*g.\nAnswer: -61*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, -5, -10\/9, 0, -2, 259?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1018628, 1018423, 1018080, 1017599, 1016980, 1016223?\n\"Answer: -69*n**2 + 2*n + 1018695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 + -5. Let z = l + -2. Put z, -1, 5 in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2521 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.025021 rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66*x - x**3 - 66*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 1 + -2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -2*k - 40. Let w(o) be the third derivative of -o**4\/24 - 19*o**3\/6 + o**2 - 18. Let x(z) = 3*l(z) - 7*w(z). What is x(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5252*z + 4*q = 5256*z - 32, -13*z - 4*q + 5*q = -56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -t**4\/6 + 3*t**2 + 5*t. Let n(u) be the third derivative of -u**4\/24 + 203*u**2. What is p(n(i))?\nAnswer: -2*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 5 = 0, -p = 2061*x - 2057*x for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 - 76\/28) + (-19)\/(-7). Suppose 4*u + 0*z - 20 = z, 0 = 3*u - 5*z - 15. Let p(c) = 0*c + 2*c**2 + w*c**2 - 4*c + u - 6*c**2. Determine p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -581 - -589. Suppose 2*v = 0, -2*z = 4*v - 10 - 10. Calculate the smallest common multiple of c and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 8972 * -3189\nAnswer: -28611708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i**2 - 11*i - 18. Let f be r(8). Suppose -8*n + 3*n + 15 = 0, 3*n = -2*j + 75. Calculate the greatest common divisor of f and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7800 and 1365?\nAnswer: 54600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25731 and 13485903.\nAnswer: 2859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10 - (1 + -11 + 18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7982863 and 31931452.\nAnswer: 31931452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:23 PM and 4:32 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 6 - 27 - v.\nAnswer: -v - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3*t - 4. Let h be n(3). Suppose -4*r + 953 = a - 2939, r - 3*a = 986. Suppose -y = -2*l + 4*l - 389, y = -h*l + r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 31*s - 3. Let g be n(5). Let h be 0*(-1 + (-9)\/(-6)). Suppose -3*i - 3*a = -h*a - 42, 2*i = 5*a + 63. What is the greatest common factor of g and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -3*b + 75, 115 = 5*s + b + 2*b. Solve -5*h + s = u, 0*u = -4*u - 3*h - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -3*n. Let c be a(-1). Let r be 1 - ((-2)\/c + 2). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 2 o when four letters picked without replacement from {q: 1, v: 7, a: 2, b: 4, o: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**2 + 12*t - 1. Calculate w(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4760000 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/12 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.39*-709.725.\nAnswer: -276.79275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 3*k + 480 + 5, 0 = 5*k - 4*r + 799. Let z be 9\/(-15) + k\/(-5). Let n(h) = h - 3*h + 4*h - 19 + z. What is n(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (16 - (-1190)\/(-91)) + -1 + -1. Which is the third smallest value? (a) -2\/11 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 972 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -j, 82*j = -2*g + 79*j + 645. Calculate the remainder when g is divided by 69.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c. Let j be x(1). Suppose -j - 3 = -2*b. Let k = b + 2. Solve r + k*r = -20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 313 = -33. Suppose -3*l + 79 - 29 = -2*a, -8 = 2*a. Calculate the highest common factor of l and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0137565 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -1086*c - 3596 = -1996*c + 1026*c for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 51 - 59.1\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f. Let v(a) = 14*a. Let i(d) = d**2 + 8*d + 16. Let m be i(-3). What is m*v(x) - 8*u(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + 2*o)*(0*o + 5*o - 4*o)*(-2*o**2 - o**2 - 7*o**2) to v*o**2 + q + h*o + a*o**3 + w*o**4 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the second derivative of -b**5\/20 - b**4\/6 + b**3\/6 + b**2\/2 - 4*b. Let i be u(-2). Let x = 0.0397 - 0.0397. Put i, x, -4 in ascending order.\nAnswer: -4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 203321 divided by -358?\nAnswer: -203321\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + k)*(2 + 34 - 18)*(-3 + 2*k + 3 + (0 + 0 - 3)*(2*k - 2 + 2)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 2 c, and 1 p when four letters picked without replacement from {c: 2, b: 3, a: 3, p: 1, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of -3*x**2\/2 - 45. Let z(h) = -1310*h. Give z(f(d)).\nAnswer: 3930*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -3905*x + 956728. Determine v(245).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-1)\/((-4)\/10)*(-63)\/((-5040)\/699488)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of p**6\/33 - p**5\/55 - 5*p**4\/66 + 2*p**3\/33 - 2*p - 28. Solve d(c) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 - 5*r + 43. Let t be g(-9). What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -0*j - 4*p - 2, 4*p = 0. Suppose k + j = -3*f, 5*k + f = 21 + 2. Suppose -2*l - 13 = -3*l - k*y, -5*l - 2*y = -19. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.5, 2\/7, 12\/13, 3\/4 in increasing order.\nAnswer: -0.5, 2\/7, 3\/4, 12\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -829, -833, -839, -847, -857, -869?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 165\/9 - (-1 - 28\/(-12)). Let p be (x\/459)\/(2\/6). Factor -1\/9*k**3 + 1\/9*k**4 - 1\/9*k**2 + 0*k + 0 + p*k**5.\nAnswer: k**2*(k - 1)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 + 2144222?\nAnswer: 2144224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1, 0, -40, 78 in increasing order.\nAnswer: -40, -1, 0, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 44\/441 - -6\/49. Which is greater: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the first derivative of 6*m**4 + 0*m + 0*m**2 + 118\/3*m**3 + 2\/5*m**5 - 82. Find the third derivative of a(x) wrt x.\nAnswer: 48*x + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2891\/9 + 1\/((-63)\/14).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 9*q + 13. Let s(w) = 18*w + 29. Give -13*d(y) + 6*s(y).\nAnswer: -9*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of -u**6\/120 - u**5\/12 - u**3\/6 - 115*u**2. Calculate w(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-4 + -5 + ((sqrt(162) + 2)*-3 - (3 + sqrt(162))*-4))*-2.\nAnswer: -30 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 36*q - 45*q + 99. Let v(a) = 4*a**2. Let d be v(1). Solve 4*j - q = -5*n, -d*j = -5*n + n + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53 divided by -53?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 8 - (12 + 15 + -6 + -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 60887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (32\/(-16))\/((-4)\/10). Suppose -3*a - j*m = -673, 2*a - 6*a + 859 = -m. Calculate the highest common divisor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16456 and 32912.\nAnswer: 32912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -24734120 divided by -6183530?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tu when two letters picked without replacement from {u: 3, q: 5, d: 2, p: 1, t: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = u - 3*r - 31, 0 = -u + 4*r - 4. Solve 11*j**2 - 9*j**3 - u*j - j**3 - 2*j**4 - 27*j**2 + 0*j = 0 for j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 AM and 3:04 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 18 = 5*i. Let q = i + -13. Let k(m) = -m**2 - 6*m - 6. Let d be k(q). Solve 4*x = d*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 6*o**2 - o + 3. Let t(g) = 5*g**2 + 3. Let a(j) = 3*t(j) - 2*u(j). Determine a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 655a - 18?\nAnswer: 6542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/(27\/12) + 2. Let g = 27 - f. Is (-3)\/g + (-11160)\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76)*-2)**2 + sqrt(19) + -2.\nAnswer: sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -25*z**3 - 5*z**2 - 2*z + 4. Is 4 a factor of w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that m**3 - 8672*m**2 - 1828663*m - 1819990 = 0.\nAnswer: -205, -1, 8878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q - 5. Let l be k(-5). Suppose l = -4*r - a + 1456, -4*a + 20 = a. Suppose -p + 132 = 4*d, 0*p - d = 3*p - r. What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + 8 + -7 + 3. Suppose -v*c = 9 - 21. Suppose -l = g - c*l - 2, -3*g + 2 = -2*l. Solve 0 = -2*n + r + 5, g = -5*n - 4*r - 3 - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*i**2 + 408*i - 1203*i + 373*i + 402*i + 61*i**2.\nAnswer: 3*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5*((-2*sqrt(78))\/sqrt(6) - sqrt(13)) + sqrt(78)\/(sqrt(24) - sqrt(96)))**2.\nAnswer: -54665\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24*-2.9.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 + 9*h**2 + h + 7. Let c be i(-9). Let m be 1\/(3\/(-18)*c). Suppose -44 = -m*t - t. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22020212012 (base 3) in base 12?\nAnswer: -7a028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -181737*i + 181613*i = 1612 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -2*n - 3. Let t(o) = -2*o - 3. Let v(y) = y**2 - 4*y - 5. Let s be v(0). Calculate s*a(c) + 6*t(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**1)**20)**48)**(2\/63) assuming t is positive.\nAnswer: t**(640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (20\/(-17275))\/(3\/5). Let m = r - -19360\/6219. What is the common denominator of 11\/3 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 19.65647 millilitres?\nAnswer: 0.01965647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = y - 22. Let b = y + -19. Calculate the remainder when (84 - (b - -2)) + -5 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 15.487 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -442*p**2 + 293*p**2 - 947*p**2.\nAnswer: -1096*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 529*u - 537*u = -12024. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 3054315 (base 7) to base 2\nAnswer: 1011001011110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1092 and 56?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -251447479.5+0.44\nAnswer: -251447479.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 151337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 860, 1705, 2536, 3347, 4132, 4885, 5600?\nAnswer: 6271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (3*m**2 - m**2 - 3*m**2)*(0 + 0 - 1)*(m - 2*m + 4*m + (2 + 2 - 5)*(0*m - 2*m + 0*m)) in the form h*m + g + v*m**3 + l*m**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 17545234.5 nanoseconds in days?\nAnswer: 0.00000020306984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2789\/2 - -1395. Let a(v) be the first derivative of q*v**2 + 10 + 0*v + 7\/3*v**3. What is the second derivative of a(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -1100001112002221?\nAnswer: -1100001112002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**20*t)**(24\/11) assuming t is positive.\nAnswer: t**(-432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 14404021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -2*f**2. Let q(w) = 14*w. Let h(a) = -14 + a - 19 + 33. Let d(o) = -4*h(o) + q(o). Give d(t(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 58 - -296. Solve 360 = -3*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2493 = 6*x - 3195. Suppose -8*u - x = -14*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 416 and 940342.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is (-40702)\/(-20) + (-195)\/1950 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 332*h**2 - 338*h**2 + 1253*h - 913*h + 2*h**2 - 2*h**2 - 2*h**2 + (-2*h - 3*h + 3*h)*(2 + 2*h - 2) - 4*h**2 + 2*h**2 + 4*h**2.\nAnswer: -10*h**2 + 340*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (341694\/(-18983))\/((-4)\/(-9)*6\/(-4))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13 + -1101022?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -585.9*-0.3\nAnswer: 175.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -27.9 - 0.1. Let s = t - -27.9. Let o = 5\/9 - 1\/3. Which is the smallest value? (a) s (b) 0.5 (c) 2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -2*d**2 - 9*d - 20. Let f(t) = t**2 + 4*t + 11. Let l(x) = 5*f(x) + 3*v(x). Determine l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(612) + 1 + -5 + sqrt(612)))**2.\nAnswer: -2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -12. Let n be (-25527)\/(-2211) + 1*6\/(-11). Put -5, j, 3, n in ascending order.\nAnswer: -5, 3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*b + 1210 = -b. Is b smaller than 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 16, h: 1, m: 3}. Give prob of picking 2 m, 1 i, and 1 h.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(9)\/(sqrt(9)\/(sqrt(3)*-3)) + 3.\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 37, 14, -35, -122, -259, -458, -731, -1090?\n\"Answer: -2*z**3 - z**2 - 6*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, 8, 1354 in ascending order.\nAnswer: 8, 39, 1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/14, 3\/5, -0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 51, 66, 89, 126, 183, 266, 381?\n\"Answer: d**3 - 2*d**2 + 14*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 446.4352 millennia to years.\nAnswer: 446435.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3366 and 192258?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -5*s + 439, 5*y - 7*s + 2105 = -12*s. Let x = -173 - y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.5, -1\/3, -5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.8 + 2.8. Let k be (-198)\/36 - (-4 - -1). Which is the second smallest value? (a) s (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -46.85 - -48.285. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2734301995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3936792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 31\/5 or -2565?\nAnswer: -2565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 97*v - 62*v - 65*v. Let z(m) = -m**2. Calculate z(r(w)).\nAnswer: -900*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mhjfffjffj. Give prob of sequence fjjj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*y + 3876 = -252*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (79 - 81) + 0 + (0 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 14 = -3*q, -634*g - 13 = 6*q - 635*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (1 + -4 - -2)*((-84)\/18 - -5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.042 times 713936?\nAnswer: 29985.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -6.2113864 to 3 decimal places.\nAnswer: -6.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -306, 3, -49, -8 in decreasing order.\nAnswer: 3, -8, -49, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of b**3*o**2 - b**3 + 2*b**2*o - 17*b**2 - 3*b*o**2 wrt b?\nAnswer: 6*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 - 9*p + 6. Let d be m(-7). Let g(b) = -b**3 - 6*b**2 + 4*b + 4. Let u be g(-8). What is the highest common divisor of d and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 7, -2, -12, -9.\nAnswer: -12, -9, -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 760550, 760491, 760418, 760325, 760206?\nAnswer: 760055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/10470700 and 83\/350?\nAnswer: 73294900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f**4 + 5*f**4 - f**4 + (0*f**4 - 2*f**4 + 4*f**4)*(1 + 4 - 3) + 2*f**4 + f**4 - f**4 + 0*f - 2*f**4 + 0*f + 2*f**4 + f**4 - f**4.\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 268124*k**4 - 2*k**3 + 3*k**2 - 11964502 wrt k?\nAnswer: 1072496*k**3 - 6*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5334 - 4854. Calculate the remainder when v is divided by 77.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*(b*b**(-2\/3))\/b)\/(b**3\/b)*(b\/((b*b**(-1))\/b))**(-1\/14))**(-2\/13))**(21\/4) assuming b is positive.\nAnswer: b**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 2\/7930601?\nAnswer: 2\/7930601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j. Let o(n) = 5 - 6*n - 5 - 7 - n**3. Let x(l) = -6*b(l) + o(l). Determine x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 9) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 8*b + 1 = -23. Calculate the highest common factor of b and 6054.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g + 6. Suppose -2*i + 4*n + 10 = 0, 0*i + i + 4*n + 19 = 0. Let z(o) = -o - 5. Calculate i*z(v) - 2*r(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dknl when four letters picked without replacement from klkdmmkmlmdknmdmm?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -10053005 (base 7) in base 2?\nAnswer: -11001100001111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26208 divided by -312.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -151499*k**4 - 2*k**3*l**2 + 1929*k*l - 2*l**2 + 888*l wrt k?\nAnswer: -1817988*k**2 - 12*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 125 is divided by 49?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the second derivative of -z**4\/48 - 173*z**3\/12 - 31*z - 5. Factor g(y).\nAnswer: -y*(y + 346)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/6)\/(8\/36). Let o = 2 - b. Suppose -5*g - 3*p - o = 0, 0 = -2*g + g - p - 3. Put -5, 4, g in increasing order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -2*m. Let f(o) = o. Let q = 374 - 361. Let s be (2 + -1)\/(((-91)\/42)\/q). Give s*j(i) - 11*f(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 613 and 135268871.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + -1011101001100110011001011?\nAnswer: -1011101001100110011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 16 + 60. Let o be 18*(165\/(-75))\/(2\/(-5)). What is the highest common divisor of o and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332165 (base 8) in base 3?\nAnswer: 12200021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-7) + (-384)\/896.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 49, 74, 115, 172?\n\"Answer: 8*z**2 + z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 15, 49 in ascending order.\nAnswer: -3, 15, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -24916185 divided by 711891?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/3? (a) -3\/2 (b) 15 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - c + 5*c - 1)*(-5 - 8 + 2).\nAnswer: -44*c + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -19189 = -578*q + 40345 for q.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, m: 1, o: 2}. Give prob of picking 2 m and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**2\/7 - 16*w - 990\/7 = 0. What is w?\nAnswer: -45, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-176)*-4)\/(19*2\/(-114)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -349, -2437, -5917, -10789, -17053, -24709, -33757?\nAnswer: -44197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-6*(-1*sqrt(68) - sqrt(68)))\/((sqrt(128)\/(sqrt(8)*-2))\/sqrt(4)).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c = -13*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 + 15*k**2 + 33*k + 9. Give y(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 44 + j**2 - 87 + 42. Calculate v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -42\/26405401 and -30\/26405401.\nAnswer: 26405401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5905*u**2 + 13291*u**2 - 6462*u**2.\nAnswer: 924*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 22 - 8 = 0. Let q(x) = -x**2 - 5*x + 8. Let b be q(h). Calculate the remainder when (b\/(-6))\/(5\/(-30)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:20 PM and 7:20 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-336)\/(-32)*(2 + 6)\/2. Are r and -0.16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11002212 + -11?\nAnswer: 11002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 11:32 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.180119 and -2.3.\nAnswer: -0.4142737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d**3 - 11*d**2 + 14*d + 11. What is b(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -232 - -253. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from cckylccgykvcy.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/12 and 107\/(-105) + (-8)\/(-20).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 317 + 1453 = -10*h. Let x = 180 + h. Solve r + 2 - x = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230983.\nAnswer: 19, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*g - 9*t + 609 = -4*t, g - 2*g - 5*t + 52 = 15 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -15223, -15225, -15227, -15229, -15231, -15233?\n\"Answer: -2*r - 15221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-42)\/(-2))\/(5*2\/20). Find the third derivative of -464*g**2 + 5 + 463*g**2 + f*g**3 + 18*g**3 wrt g.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -328*j + 7. Let a be u(7). Let q be -2 + 7\/(a\/(-648)). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 918.0725 kilometers to millimeters.\nAnswer: 918072500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 6*w - 6. Suppose 4*p = -3*t - 8, -3*p - 5 = -0*p + 2*t. Let q(s) = -s. Let r(z) = p*g(z) + 5*q(z). What is the least common multiple of 4 and r(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 11*t + 7*t + 13, -3*t = 3*v - 3. Let z be (-1 + 3)\/(v\/(-4)). Which is greater: z or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1519 in -2, 1\/20, 1\/77?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 15 + -8 + -7 + 4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the third derivative of o**8\/10080 - o**5\/20 - o**2. Let b(y) be the third derivative of m(y). Let n(k) = -k**2. Calculate n(b(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -4*r - 7. Let v(o) = 8*o + 13. Determine -11*l(h) - 6*v(h).\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 5 - 5 = 0. Suppose 0 = q*c + 2*t + 331 - 916, 3*t = 3*c - 330. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*((-140)\/49)\/(10\/35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2162*c + 2*s = -2165*c + 56, 3*c = s + 44. Let q(i) = 6*i - 33. Calculate q(c).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1 (b) -1\/5 (c) 247 (d) -4 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-10))\/(-1)*135\/972*-10.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 - 9*b**2 + 46*b + 102. What is k(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.9 - -0.1. Let o = 0.152 + 33.348. Let g = o - 34. Sort g, q, 0.1.\nAnswer: g, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 15 = -5*x, -5*a - 24 = -3*x - 15. Solve 16 = -x*v + 11*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(1*(sqrt(65) + (2*sqrt(65) - sqrt(65))*3)\/sqrt(5) - ((sqrt(1872) - (sqrt(1872) + sqrt(1872) + sqrt(1872) + 2 + 0)) + sqrt(1872))*5)**2.\nAnswer: -106696 - 2560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5109*k + 106837 = -396*k + 1587*k - 677*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-1 + sqrt(13)) - sqrt(208)*-3.\nAnswer: 2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 71 + 66 + 37*t**2 + 11*t**2 - 118 as z*t + p + s*t**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 2*i**2 - 26*i + 45. What is l(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + -6c48a?\nAnswer: -6c489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 705969433 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-637)\/42*(-100)\/(-35))\/(2\/3*-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 51533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be 145 - (15\/12)\/((-5)\/(-20)). Let i = m - 100. Calculate the greatest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2 and 2.7581897?\nAnswer: 2.9581897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 872092032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-4)*3*32\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -79950, -80091, -80232, -80373?\nAnswer: -80514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2414602 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(6\/11)\/x*x)\/x)\/x**(-4\/7))\/((x*x**(-12))\/((x*x**9\/x)\/x)) assuming x is positive.\nAnswer: x**(1472\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 + 2 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 39*1 + 0 + 2 + -1. Suppose -4*v = -3*n + b, -n - v = -4*n + 46. Solve -4*s = -0*s + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 99048868*u + 191878026.\nAnswer: 99048868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (((sqrt(7) - (2 + sqrt(700) + sqrt(7))) + sqrt(7) + 5 + sqrt(14)\/sqrt(2) + sqrt(7))*6 - (-1 + 5*sqrt(700)*-4))**2.\nAnswer: 6004*sqrt(7) + 175106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6645 - 6630. Calculate the highest common factor of 745 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1740 and 1340.\nAnswer: 116580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 r, and 1 c when three letters picked without replacement from {c: 1, j: 1, b: 1, r: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 7*a - 37*a)*(5 - 5 - 3*a).\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -5*z - 3. Let d(f) = 2*f + 1. Suppose 483 = 10*p - 3*p. Let l = 65 - p. Calculate l*v(x) - 11*d(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c - 45. Determine w(26).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2 * 9908898\nAnswer: -19817796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.437 (c) 291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*w + 12, -5*b + 6 = 5*w + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3*((-14)\/(-21))\/((-75)\/60)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (29\/(-8))\/((-9696)\/77568)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -60*x - 5 + 3 + 61*x. Calculate the remainder when 42 is divided by a(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/247 and 1\/9?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -170 by 138272.\nAnswer: -85\/69136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 28461696 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1669603423 - 1669603423 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15124)\/(-912) + -17)*(-12)\/(-45).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10558560106.99999946 + -10558560269. Let o = 162 + r. What is o rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of -23*q**4\/24 + 52*q**3\/3 - 5*q**2 - 4*q. Let v be c(4). Solve 0 = 3*r + v, 3 = -2*h - 3*r + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6 - 2 - -1298 - (-1 + 6).\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 4*j - 17. Suppose -4*y + 115 = 3*f - 8*f, 137 = 5*y - j*f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -4*n - 2. Suppose 0 = -3*i, 5*p - i + 2*i = 110. Let w = p + 0. Calculate the lowest common multiple of d(-3) and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-252)\/(-126)*5\/((-400)\/45)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -3*u**2 + 5*u + 22. Let q be j(-2). Solve 0*y**2 + 4\/13*y**3 - 22\/13*y**4 + q*y + 18\/13*y**5 + 0 = 0 for y.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -414 + 189. Let u = z + 340. Calculate the highest common divisor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 755\/45 + (-2)\/(-9). Let o(f) = -2*f**2 - 3*f - 1. Let l be o(3). Let i = -24 - l. Solve -v - i*s = d, s + 11 = 2*v - 0*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -29*u**3 + 3392*u**2 + 109*u + 936. What is w(117)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7385739 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -266901452*b**2 - 138*b - 221845 wrt b?\nAnswer: -533802904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2968\/5194*7\/82.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.4 + -4. Suppose 3*w + 3*s + 18 = 0, -2*w + 174*s = 178*s + 22. Which is the closest to w? (a) v (b) 4 (c) 0.1 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: aa26 (base 14) to base 8\nAnswer: 71372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-128)\/(-6))\/(2\/9). Suppose -4*p + u = 8. Solve 0*v - 5*v = -15, -4*a + 2*v - p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + 101401201340?\nAnswer: 101401201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 - 882*c - 169202. Give h(-600).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-180)\/(-25))\/(-3) + 6 + -4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 14*l**2 - 8*l**3 - 65*l**2 + 840 - 439 + 2*l - 399 in the form v*l**3 + i*l + o + r*l**2 and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of 0 + 0*n**2 + 1\/6*n**3 - n. Let i(y) = -3*y**2 + 5*y**2 - 31*y + 31*y. Calculate i(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(36)\/(1*sqrt(4)) + sqrt(9))\/(sqrt(6)\/sqrt(2)*-3) - (1 + sqrt(3) + 0 + (sqrt(27) - (-1 + sqrt(27))**2)))*5.\nAnswer: -160*sqrt(3)\/3 + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mdaa when four letters picked without replacement from iiiiaaimvmpppdima.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 - 10*v**2 + 11*v + 14. Give r(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 970485 (base 11) to base 2.\nAnswer: 101111011000010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1624, 3250, 4876, 6502?\nAnswer: 8128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b + 1. Let m be p(9). Let r = 68 - 38. What is the greatest common divisor of r and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {p: 11, i: 1, j: 3}.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 31*h - 1405. Let n(m) = -50*m + 2107. Calculate -7*n(c) - 11*v(c).\nAnswer: 9*c + 706","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u - 21. Let z be s(18). Let o(m) = -m - 3. Let w be o(z). Sort w, 0.4, 3.\nAnswer: w, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24 - 8. Suppose -6*r = -r + 20. Let x = v + r. Calculate the remainder when 34 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 2)\/(1\/(-4)). Let b(t) = -t**3 - 2*t**2 - t - 7. Let h = -70 + 67. Let a be b(h). Put g, a, 7 in decreasing order.\nAnswer: 7, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 - 9*l**2 - 7*l. Let m = -610 + 604. Let x(v) = 4*v**2 + 3*v. Give m*t(f) - 14*x(f).\nAnswer: -6*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 7*(4 + (-64)\/28). Solve -a - 2*a + t = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.23 times 2?\nAnswer: 12.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 54 = -p, -5*k - 4*p + 136 = 14. Suppose 32 = 34*y - k*y. Solve -20 = y*s + s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*x - 30 = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 - -20652?\nAnswer: 20653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 13*m**3 - 251*m**2 + 74*m + 41. Determine i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23386 + -15276. Calculate the remainder when m is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 72660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m + 1. Suppose -4*o + 0 = -4. Let y be i(o). Suppose 2 = s - 4*w + w, 5*w - 15 = -y*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/(-6))\/(4\/(-12)). Let z = j + -4. Suppose z*s + 33 = 3*s. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -100*r + 89. Is u(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*l + 5*l + 15. Suppose 11*a + 4 = 37. Solve 10 = l*n - a*i, 5*n + 0*i = i + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.32556 times -0.2?\nAnswer: 0.065112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-10) + (-25971)\/15740.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 2*l - 33, 4*y + 21 = 2*l - 7. Suppose 110 + 280 = -6*f. Let u = f - -68. Sort y, u, 0 in descending order.\nAnswer: u, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 + 42\/(-6))\/((-1)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -222*p - 268*p - 1317*p + 22988 = -43871 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 282 is divided by 139.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2362*90437.\nAnswer: 21361.2194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 2\/151 (b) 0 (c) -1\/10 (d) -4\/7 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -7\/2 < -7.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 3*m - 135 = 0. Suppose 0 = 2*p + 3*p - m. Suppose k = -7 + p. What is the highest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -51, -8432, 3 in ascending order.\nAnswer: -8432, -51, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 1\/6, -3\/7, -8, 847.8, -0.3 in decreasing order.\nAnswer: 847.8, 1\/6, -0.3, -3\/7, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 1 + 17650*r + 0.\nAnswer: 17650*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from {w: 1, t: 12, c: 4, y: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:51 PM and 7:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 6*x**4 + 71*x**3 - 342*x**2 - 845*x + 150 = 0.\nAnswer: -15, -2, 1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.03 + -0.04. Let u = m + 1.01. What is the nearest to -1\/3 in 1\/4, u, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002813319 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of v**4 + 3085*v**3 - 1751*v - 350349584 wrt v?\nAnswer: 4*v**3 + 9255*v**2 - 1751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/(-56))\/((72\/(-14))\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255 is divided by 56.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 186 and 1250346.\nAnswer: 38760726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 - -5. Suppose -3*y + 9 = -u. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 99821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -25*c**7\/42 + 23*c**4\/12 - 25*c. What is the third derivative of g(p) wrt p?\nAnswer: -1500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, p: 3, q: 1, l: 7, k: 5}. What is prob of picking 1 p and 2 v?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 780 divided by -156.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4706635.55 - -4706640.45000082. Let v = -4.9 + g. What is v rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -79*k = 56*k + 2025 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 10 - 1 - (3 - 2). Let x(r) = 4*r + 4. What is the tens digit of x(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, 1, 453, 0, 167, 53 in increasing order.\nAnswer: -1, 0, 1, 2, 53, 167, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 - -8. Let n be -2*((-9)\/(-2))\/3. Let g = p + n. Solve g + 9 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 32265*g**5 - 279540*g**4 - 21421155*g**3 - 28209170*g**2 - 9413860*g - 26040 = 0.\nAnswer: -21, -2\/3, -2\/717, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + (1099 - (-9 + 5)). What is the greatest common factor of 50 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, -24\/7, -1\/4, -1?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**3 - 30*i**2 + 69. What is w(30)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -183*h**2*n - 93*h**2 wrt n?\nAnswer: -183*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t. Let g(y) = 2*y**2 - 104. Give g(b(o)).\nAnswer: 8*o**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -26287, -26304, -26323, -26344, -26367, -26392?\n\"Answer: -g**2 - 14*g - 26272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6430918187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (1599\/(-273))\/(2\/(-14)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*w**2 - 6 + 12*w**2 - 7*w**2 - 1 in the form d + u*w + o*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44)\/sqrt(4) + -2 - (-1*sqrt(1584) + sqrt(1584) + sqrt(11)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2396171 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1032435 (base 6) in base 3?\nAnswer: -2121011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8591387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -f - 2*m - 28, 4*f + 4*m = 64. Suppose 0 = v - 11 - 64. Suppose 2*l - l = v. What is the greatest common divisor of f and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1157*l**2 - 32936*l + 2554*l**2 + 32936*l.\nAnswer: 1397*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32055232 or -32055229?\nAnswer: -32055232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 44 + -21. Let b = 32 - m. Let r = -3 + b. Solve -3 = -r*t + 3*t + 5*q, 5*t + 4*q = -32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the second derivative of r**6\/80 - 3*r**5\/8 - 21*r**4\/32 - 10*r - 12. Factor v(i).\nAnswer: 3*i**2*(i - 21)*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -229 (b) 26\/25 (c) -1\/6 (d) 2 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/1328346 and -71\/48654?\nAnswer: 70402338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(23\/14 - 2). Let w = k + 8\/3. Let q = 3\/10 + w. Is q greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 6 = -4*o. Let s be (-40)\/50 + ((-48)\/(-10) - 2). Factor j**s - 9*j**2 - 5*j + j + 10*j**o.\nAnswer: 2*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 3*o - 5. Determine z(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 3*r = -7*d - 295, 0 = r. Let z = d + 113. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, -66, 50 in descending order.\nAnswer: 50, 2\/7, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5 - (-3 + 0)) + 2. Solve -g + 5 = -0*o + 2*o, l = o + 4*g - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c**2*g**3 + 191*c**2*g + 41*c*g**3 + 2*g**3 wrt c.\nAnswer: -4*g**3 + 382*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 s, 1 e, and 1 v when four letters picked without replacement from vllsulerslvvuls.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 151969 + -86490. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*j + 93 = -40 - 41. What is the least common multiple of j and 93?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = -s + 4*w + 23, -2*w + 56 = 4*s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 7992*j + 47965. Calculate x(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 0 + f**3 - 4*f**2 + 2*f**2 - 2 - 2*f**3 - 3*f. Let v be r(-2). Let o be (5\/(-4) + 2)*v. Solve 0 = 5*n + 4*j + 10, -n + 6 = -4*n - o*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (15\/195)\/((-7)\/91). Is 2\/6419 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -95450.9 rounded to the nearest 1000?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 196394977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (97 - 63)\/((-41 - -22)\/(-19))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q - j + 1 - 8, 4*q - 55*j - 2 = -52*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*c**2 + 81 + 9*c**3 + 68*c + c**2 - 50 - 31 to f + w*c**2 + q*c + t*c**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**2 + 3*d - 2. Let b(x) = -4*x**2 + 10*x - 6. Calculate -3*b(y) + 10*t(y).\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 166.17 + -167. Let z = 57.83 + t. Let i = -54 + z. Which is the fourth biggest value? (a) i (b) -1 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -130*k**5 - k**3 + 288*k**2.\nAnswer: -7800*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 20614733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of -43\/12*x**4 - 31*x + 0*x**3 + 0 + 0*x**2 + 0*x**5 + 29\/30*x**6. What is the third derivative of h(s) wrt s?\nAnswer: 696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + t = 8 + 6, 2 = -f + t. Let y be 2988\/f - (0\/(-2) - -3). Is y\/(-14)*((-84)\/(-9))\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -9b - 3?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 5*c + 87. Let l be m(-17). Let i(b) = -4*b**2 + 19*b - l*b - 17*b. Let t(y) = -3. Let n(j) = -j + 1. Let k(g) = 3*n(g) + t(g). What is i(k(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -38 + 11 + 68 + -18.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Does 11 divide (-5)\/(315\/6) + (-47)\/(1974\/(-244696))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/45)\/1 + (-5)\/25?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1134314 - 4?\nAnswer: -1134320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 27 = 5*a, -3*n = -n - 147 + 155 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9080 and 100.\nAnswer: 45400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0*(2\/(-4) + 0). Let d(i) = i**3 - 5*i**2 + 7*i. Let a be d(4). Suppose 8*u - a*u + 68 = h. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9211*j**3 + 20727*j**3 + 34277*j**3.\nAnswer: 64215*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 6 = 2*s - 10, -2*j + 4*s - 24 = 0. Suppose 5*i - 5*m + 3*m - 69 = 0, -2*i = -5*m - 36. Let v = 11 - i. Are j and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 443366, 886732, 1330098, 1773464, 2216830, 2660196?\nAnswer: 3103562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.2 + -1.64. Let p = i - 0.06. Let a = -0.1 + 0.5. What is the closest to 1\/2 in p, 2\/17, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -132 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 + -2 - -5)\/1. Let n(b) be the third derivative of 0*b**3 + 2*b**2 - 1\/60*b**5 + x + 0*b - 1\/96*b**4. Solve n(y) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 - 89\/3. Let g = -601\/1560 - -2\/195. Put 3\/4, g, i in ascending order.\nAnswer: g, i, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 - 10*w - 9. Let s be d(-9). Suppose s = -5*u + 8 + 2. Solve -x = -3*x, 8 = -u*l - 3*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4747675 + 4747675 + 1052*w**3.\nAnswer: 1052*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 187 + 1708*c + 1783*c - 3487*c to the form l*c + x and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8148*h - 11635*h - 11635*h.\nAnswer: -31418*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/56)\/((-45)\/(-18))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 - 1. Let s = -40843 - -40846. What is the closest to s in 1\/7, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -18 - (1 - 20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -0.043, -17 in ascending order.\nAnswer: -17, -0.043, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.24 + -4232.7189124\nAnswer: -4232.9589124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 - 17*k**2 - 494*k + 8289. Calculate c(16).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 9, d: 2, c: 2, b: 2, i: 1, j: 4}. Give prob of picking 1 c, 1 d, and 1 b.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -1\/191 (b) 2\/107 (c) 1.19 (d) -0.1 (e) 0.07 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 10910 divided by 6\nAnswer: 5455\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*z**3 - 8*z**2 - 1415919*z + 53559318 with respect to z.\nAnswer: -9*z**2 - 16*z - 1415919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-3)\/o)\/o**(-2\/9) assuming o is positive.\nAnswer: o**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 7 - 19. Suppose -118 = p - s*p. Suppose -730 - p = -3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**2 + 13*l + 16. Let j be i(13). Suppose 0*q = -4*q + j. Suppose q*c = c + 21. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2725*f**3 - 123 - 5444*f**3 + 244 + 2726*f**3 - f - 121.\nAnswer: 7*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 18, 4, -4.\nAnswer: -4, -0.1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*76\/(-4)*2*(944\/(-96))\/(-59).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dzz when three letters picked without replacement from zzzzzzdzzzzdz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 145*z + 150*z - 607*z + 154*z + 156*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (1 - 4)*1\/((-9)\/72*4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the first derivative of -52*v**3\/3 + 725. Let j(z) = 14*z. Calculate j(q(b)).\nAnswer: -728*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 39*f**3*w**3 + f**3*w + 5*f**2*w**2 - 3*f - 131053*w**3 - 19748*w**2 wrt w?\nAnswer: 234*f**3 - 786318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1459508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 20\/(-2750)*-25 + (-2405)\/10626 and -107\/414.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1506860 is divided by 811.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + 245\/(-120) - (-3)\/8. Which is the second biggest value? (a) 2\/23 (b) f (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 110 - 110. Solve x*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 4 (b) -787 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 101021222200021 (base 3) in base 8?\nAnswer: 24676626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 41194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -3*v + 45. Let p = -31 + v. Suppose 0 = -p*d + 33 + 11. Which is greater: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (84\/(-72)*(-8)\/14)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 277307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-26)\/91 + (-48)\/(-266). Which is the nearest to 0? (a) 0 (b) r (c) 11\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -11*o**2 - 62*o - 33. Let l be b(-5). Solve l*d + 0*d = 2*p - 10, -5*d = 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15602964 and 19812.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -3*g + 1 - 5 + 1 + 0*g. Give o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 4*c)*(-1 + 0 - 1) + 3*c + 3*c - 4*c - 2*c + c - 3*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -b**5\/5 + 2801*b**4\/5 + 153441*b**3\/5 + 416259*b**2 = 0. What is b?\nAnswer: -27, 0, 2855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*d*r**3 + 867*d*r*t**3 - 2*r**3*t**3 - 22*r**3*t**2 + 94*r wrt d?\nAnswer: 5*r**3 + 867*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (0 + (sqrt(1053) + -1 - sqrt(1053)) + -3*sqrt(1053)*1 - (2*-2*sqrt(1053) - (3 + (sqrt(1053) - (0 + sqrt(1053) - sqrt(1053)))))*-1)**2.\nAnswer: 576*sqrt(13) + 67403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 3)*(-25 - 8 + 1)*(-12*h + 16*h + 15*h).\nAnswer: 608*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= -4\/1925579505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes after 1:27 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -2102110200 (base 3) to base 11.\nAnswer: -32949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of 47*z**4\/12 - 63*z**3\/2 - 5*z**2 + 15*z. Is x(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22065790853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 63 - 38. Let h = s - 12. Let x = h - 13.18. Round x to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 3*s**2 - 2*s**2 + s**2. Let x(t) be the first derivative of -4*t**3\/3 + 2. Calculate x(c(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 289*k - 1178 + 466 = 146*k + 151*k for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3402*x**5 - 2*x**3 - 117*x**2 - 19 wrt x.\nAnswer: -204120*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 30297936*t**2. Let o(k) = -9*k**2. Give o(b(d)).\nAnswer: -8261684332740864*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 - 0.5. Suppose 0*q - 4*q - t - 7 = 0, -5*q - t = 8. Let c be (-16)\/(-12) - (1 + q). What is the second smallest value in c, 5, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -476 (b) -1\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1790*b**5 - 2*b**2 - 84*b?\nAnswer: -107400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f**5\/11 - 782*f**4\/11 - 97244*f**3\/11 - 3575556*f**2\/11 + 24164190*f\/11 - 37623150\/11 = 0.\nAnswer: -155, -87, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5136 and 749.\nAnswer: 35952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 43153890 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1658195149 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*a + 4*a - 3*a)*(-3 + 6 - 1) + 0*a + a + 0*a + 5*a + 11*a - 17*a + (3*a - 5*a + 4*a)*(4 + 2 - 1))*(0*a + 2*a - 4*a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 3 = -u. Let j be (10\/(-4))\/(10\/(-12)). What is the second derivative of n**u - j*n + 12*n - 4*n**4 wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(153))**2 + 1 + sqrt(153) - sqrt(153))*-2.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.15, -3\/28, 0.243.\nAnswer: -3\/28, 0.15, 0.243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -229*s**4 + 5*s**3 + 4*s**2 + 60326 wrt s?\nAnswer: -916*s**3 + 15*s**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 529\/2 (b) -1402 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21*p*s**4 + 15*p*s**2 - 1258*p*s + 32694*s**6 + 3*s**2 wrt s.\nAnswer: -504*p*s + 3923280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vovhgh. Give prob of sequence vog.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/15*u**2 - 116\/15 + 38\/5*u.\nAnswer: 2*(u - 1)*(u + 58)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 5*g, -5*o + 0*o + 4*g = -41. Suppose 0 = -4*z - r + 23, -o*z + r = -34 + 12. Suppose -2*m + z*m - 45 = 0. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 3*f**5\/4 - 1651*f**4\/2 + 215434*f**3 + 6536760*f**2 - 4453344*f = 0.\nAnswer: -28, 0, 2\/3, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 321, 522, 723, 924, 1125, 1326?\n\"Answer: 201*p + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 3*t + 6. Let i be (-3 - (-52)\/16)\/(41\/820). Let m(g) = 2*g**2 - 2*g - 5. Determine i*m(a) + 4*p(a).\nAnswer: 6*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16256603?\nAnswer: 11, 347, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/7 - 19972*w\/7 - 7037586.\nAnswer: 2*(w - 12033)*(w + 2047)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.09999946 - 3.1. Round y to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10.8 - 15. Let t = d + 3.2. Let m = 1.2 - 0.2. Is m at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2788, 2788, 2790, 2794, 2800?\nAnswer: 2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 144*s + 20. Let w be o(-2). Let d be (w - 2)*-1*(-84000)\/(-5). Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x - 3*u - 69, 2*u = 2 + 8. Suppose 4*v - x = -9. Suppose 4*z - v*m - 257 = -8*m, 4*m + 122 = 2*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 241 + g - 5*g - 131 - 110. Let j(i) = -2*i**2 + 3*i - 20. Calculate q(j(n)).\nAnswer: 8*n**2 - 12*n + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 9\/(-12))*(-48)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -145 * -4.572657.\nAnswer: 663.035265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(-2)*(-25168)\/24024?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s**5\/3 - 4*s**4\/3 + 2*s**3 + 4*s**2\/3 - 5*s\/3 = 0. What is s?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-3)*30\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 806599.\nAnswer: -80659.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 - 4*m**2 - 3*m - 3. Give l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10012?\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/15921472 and -41\/322.\nAnswer: 366193856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -172*t**3 + 318*t**3 - 148*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/15*6039 - (-72)\/60. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 - 5*h**2 - 6*h + 1. Let q be (-240)\/(-42) + (-4)\/(-14). Let x = 56 - 53. Suppose 2*a - x*a + q = 0. Give c(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -t + 0 + 0 + 103*t + 43966 - 43966 - 2 - t + 2 - 1 + t + 1 + (5 - 2 - 1)*(2*t - 2*t + t) to the form g*t + i and give g.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15029 - -1412645\/94. Find the common denominator of s and -59\/12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1381, -2638, -3815, -4912, -5929, -6866, -7723?\n\"Answer: 40*b**2 - 1377*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + 1 + (1 - 0). Let y = -16002\/25 - -640. Are w and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 318809470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 41 and 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 + -28641.\nAnswer: -28640.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + -222111122121020?\nAnswer: -222111122121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 - k + 2. Let v be f(0). Suppose 4*s + s - 75 = 0. Find the second derivative of s*j + 14*j**v - 14*j**2 + 20*j + 19*j**4 wrt j.\nAnswer: 228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 24291.4 and -1389.\nAnswer: -33740754.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*q**3 - 153*q**2 + 79*q**2 + 70*q**2.\nAnswer: -6*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 1174\nAnswer: -117.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 13 + (4 - 6) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 103*b*z**3 + 9*b*z**2 - 875*b*z - 5*b - 340558*z**3 + 16*z**2 - 12 wrt b?\nAnswer: 103*z**3 + 9*z**2 - 875*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*h - 22*h**3 - 57*h**2 + 23*h**3 + 19*h**2.\nAnswer: h**3 - 38*h**2 + 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the second derivative of 0 - 3\/100*u**5 - 1\/75*u**6 + 0*u**4 + 1\/30*u**3 + 0*u**2 + 12*u. Factor d(m).\nAnswer: -m*(m + 1)**2*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001148677286 rounded to six dps?\nAnswer: 0.001149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from gybggggggggmygyyygg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (84\/63)\/(-1 + (-20)\/(-18)). Let w = -49837\/8 + 6242. Find the common denominator of w and i\/(-42) + 43\/126.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 - 1. What is the remainder when -1 - c - 2*2\/(-4) is divided by (0 + -1)\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 132.4 - 106. Which is smaller: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 522 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4085547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 9.9645 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - 4) + (-23 - -38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 12, f: 1, o: 1}. What is prob of sequence fo?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8283 or -24845\/3?\nAnswer: -8283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 539 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -223 (base 6) to base 10\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 16\/7*p**2 - 36\/7*p + 4\/7*p**3 - 2\/7*p**4 + 18\/7 = 0. Calculate p.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/1815, 3, 2\/11, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, 2\/11, 2\/1815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 29 + -17. Suppose 5*a + m = -13. Put a, 1, -1 in ascending order.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/(-2)*(-152)\/(-190). Solve -112*w + 110*w + t = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 213862824 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - a = -9, 3*a + 54 = -5*c + 17. Let x = c + 7. Is 1\/13 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 4*v - 8 = 0, -2*w - v + 26 = 0. Suppose z = -0*m - 3*m - 2, m + 3*z + w = 0. Let j(a) = a**3 - 3*a**3 + a + 0*a**3. Give j(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -86 - -88. Sort -3, j, -6, 4.\nAnswer: -6, -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -15. Suppose r*k = 11*k + 2. Suppose 39 = i + 5*t - 423, -k*i + 869 = -t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 10 = 2*h. Suppose 0 = h*k - 0*a + 4*a - 25, -5 = -k + 3*a. Suppose k*w + 3*q = 3, w = -2*w - 5*q - 11. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 680 and 9486680.\nAnswer: 9486680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8512669 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -632226 (base 13) to base 5\nAnswer: -1043140310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -711*n + 26 - 698*n - 708*n + 2093*n.\nAnswer: -24*n + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*z + 18*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -56 + (150 - (-1 + 68))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.03 - -0.27. Let p = 0 - -0.1. Let i = 0.58 - -0.42. What is the nearest to p in 1\/4, o, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i**3 + 100111306*i**2 - 200222606*i + 100111302 = 0.\nAnswer: 1, 50055651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3627 or -3267?\nAnswer: -3627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50883535 - 19.\nAnswer: -50883554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11103932 is divided by 47452?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cczzcceeeceyeetzecc. Give prob of picking 2 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + f - 1. Let z(t) = -2540*t**2 - 6*t**3 + 4*t - 9 + 4*t + 2542*t**2. Let y(k) = -5*u(k) + z(k). Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-2\/13)*d\/d**(-5)*(d*d**(5\/3))\/d*d*d*d**4 assuming d is positive.\nAnswer: d**(527\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*v + 886 - 256 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.1 or 201591\/25?\nAnswer: 201591\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -3*s**2\/5 - 6891*s\/5 - 23256 = 0.\nAnswer: -2280, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 5, -3.3, -1\/28, -0.017?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-3) - 44\/(-3). Let d(s) = -13 + 5*s + x - 1. Let k(v) = v**2. Determine k(d(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 102*g - 102. Calculate c(-5).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28974 is divided by 7231.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 91*l. Let d(k) = -125*k. Let r(o) = -11*a(o) - 8*d(o). Let s(j) = 12*j. Give 24*r(m) + 3*s(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -24105 by 3506.\nAnswer: -24105\/3506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -5*t**2 - 9*t - 8. Let a(y) = 11*y**2 + 19*y + 17. Let w(h) = 4*a(h) + 9*m(h). Let i be w(-5). Let g be (-10)\/(-3) + i\/12. Solve q + 1 = -g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-46 - 25 + 28)*(-13 + 13 + 2*q).\nAnswer: -86*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35594058 and 27174?\nAnswer: 3882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14658.\nAnswer: 2, 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l**2\/7 + 159*l\/7 + 684\/7 = 0. Calculate l.\nAnswer: -4, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10608 divided by -6.\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102000 + -202000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1674459 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g**2 + g**2 + 3*g**2)*((2 + 3*g - 2)*(-33*g + 22*g + 21*g) + (0 - 3 + 2)*(-4*g**2 + 2*g**2 + g**2)).\nAnswer: 93*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 0*p - 25 = 4*x, 2*p = 3*x + 25. Let z = 13 - p. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 635653 + -11?\nAnswer: 635642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1180863206 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x + 4*h + 113 = x, -72 = 3*x + h. Let g be (-15)\/(-2)*(0 + -2). Let w = g - x. What is the smallest common multiple of w and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/(-2) - (2 - 6)*1. Which is bigger: f or -5\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 15\/8 (b) 5 (c) -14 (d) -1\/12 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 11:53 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -88\/23? (a) 0.5 (b) 5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes before 2:49 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/19)\/d*d\/(d*d**(-1)*d)*d)**(-4\/13) assuming d is positive.\nAnswer: d**(-8\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r - 21*r - 32*r = 9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-24)\/20)\/(2\/15). Let m = 31 + p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -76*o**4*z - 8*o**2 + 2*o + 12*z wrt o.\nAnswer: -1824*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107*k - 102*k + 3762 = 0. Solve 2*u = 4*v - k, -81*v = -79*v - 4*u - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17*b - 287*b + 39*b**3 - 217*b wrt b?\nAnswer: 234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3453995821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:04 AM and 11:22 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 9:18 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/62 and 61\/682?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 5*l**2 + 23*l - 626. List the prime factors of d(-62).\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*p + 89*p**2 + 17*p - 1 - 10*p - 20*p as i*p**2 + o + m*p and give i.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1314342?\nAnswer: 2, 3, 73019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 4409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 4*y + 12 = 0. Suppose 0 = 4*b - 12 - y. Solve -d + b - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 75284 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 1041.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (17*r**2 + 10*r**2 - 27*r**2 + 117*r**3)*(2*r + 0*r - 4*r) to the form m + h*r**4 + j*r**3 + l*r + s*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -3 + -1 + (-840)\/(-200) + 46705896\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uuuopupiovvuppuuvi?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j + 8. Let g be n(7). Suppose -6 = -2*s - 3*a, -2*s - 3*s + g = 2*a. Let 0*r + 0*r**2 + 0 + 1\/3*r**s = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21195727.\nAnswer: 7, 653, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 141904.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + 7*f**3\/6 + 2*f. Let h be s(6). Let m be h\/1*4\/6. What is the highest common divisor of 36 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**3*j*j)\/j**(-12))**(-1\/4) assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1.07 + 15.54392\nAnswer: 16.61392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(252) + -2)**2*2 + -2.\nAnswer: -96*sqrt(7) + 1022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (-3 - -2) - (7 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3.6022 + -3.8022. Which is the nearest to 4? (a) -31 (b) -0.3 (c) w (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 0.4, -0.355, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3480, -2119 in decreasing order.\nAnswer: 0, -2119, -3480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 50 - 46 = 0. Let r be (2 - a\/(-10))\/(98\/(-35)). What is the closest to 0.1 in r, 2\/13, 1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - -2. Let p = b + -9. Suppose -r + 3*r - 2*u = -18, -4*u + 4 = 4*r. Put p, 5, r in increasing order.\nAnswer: p, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 + 6*t - 4. Let v be n(-7). Let i = -74 + 154. Let c = i - 74. Solve -v = 3*l + c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k be (-12)\/4 + 6\/(-3). Sort k, 1, -2 in decreasing order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**2 + 2*y**2 - 2*y**2)*(-3*y - y + 5*y) + 1141*y**2 - 1141*y**2 + 18*y - 26*y**3.\nAnswer: -28*y**3 + 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r - 30. Let t be l(-14). Suppose 6 + 42 = -2*b. Let v = t - b. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -19*78*(-4)\/456\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b**4 - 84*b**3 - 551*b**2 - 924*b = 0. Calculate b.\nAnswer: -77, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 346 = i - 112, -4*q + 2388 = 5*i. What is the least common multiple of 236 and i?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/((-90)\/(-25)) - (-93)\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1817 + 1819. Solve 3*y - 3*j + 12 = 0, p*y + 9*j + 8 = 6*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -551\/3 - -4028\/21. What is the common denominator of 63\/27*32\/14 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*m**4 + 55*m**3 + 520*m**2 - 1680*m.\nAnswer: -5*m*(m - 4)**2*(4*m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 1\/2*h**3 + 0*h**2 + 1\/4*h**4 + 0*h = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 348179 greater than 348180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48\/(-72)*(-6)\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 634642 is divided by 154.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 111*(-2)\/12*-2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3259975 to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 6*t + 3. Let f be z(-6). Let w = 194 + -197. Which is the third smallest value? (a) 2\/3 (b) f (c) w (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 307417406 is divided by 307417397.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 + 14*y**2 - 16*y - 15. Let b be c(-15). Suppose 0 = 5*o - 4*u + 2 - 7, 5 = 4*o - 3*u. Solve o*t - 4*j - 11 = b, 2*t + 2*j + 7 = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4*h + 0*h - 3)*(1 + 1 - 3)*(-2*h - h + 4*h) - 2*h**2 - 3*h**2 - 2*h**2 as j*h + c*h**2 + x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7.7 - -8. Let w = x + -0.1. Let u be 4\/(-6) - (-2 - -1). Put u, w, -4\/7 in descending order.\nAnswer: u, w, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37.8 - -12.2. Let w = -83 + f. Let o = -32.9958 - w. Round o to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 79 + (4 + (6\/(-12) - 3))*-14. Solve 45 + 27 = g*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = -26*l + 42*l. Solve 5*m - 14 = -2*z - 5, -m - 6 = l*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 + 5*s - 1. Let a be t(1). Let u be a\/(-16 + 12 - 46\/(-10)). Solve -3*j - 4 = m - 0*m, u*m = -j - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.431 in -0.04, -329, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 43*u - 78. Let o(r) = -21*r + 38. Let s(g) = 4*f(g) + 9*o(g). Let i be s(2). Are i and -20\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 253 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of -j**3\/6 + 4*j**2 - 9*j + 5. Let v(b) be the first derivative of l(b). Let n be (-30)\/4*(-8)\/10. What is v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/30)\/(2\/(-3))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 34 = 18*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-1\/3)*w*((w\/w**25)\/w)\/w*w*w)\/(w\/(w**(-2\/41)*w)*(w*w\/(w**29\/w))\/w) assuming w is positive.\nAnswer: w**(568\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, -46, -101, -182, -295, -446?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**3 + 4*a**2 + a + 14011. Let u be h(0). Let l = u + -1260853\/90. What is the common denominator of 32\/3 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - k + 35, -o - 5*k + 19 + 12 = 0. Let c(v) = -v**2 - o*v + 0*v + 2*v. Let y be (-2)\/(-4)*48\/(-6). Calculate c(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1170*a**3*z + 190*z wrt a.\nAnswer: -3510*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 77 divide (-82)\/(-123) + (12\/(-30) - (-405401)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -5 - (1 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**2 - 4*p + 4. Let l be b(-5). Let r = -820 - -7388\/9. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -41*q**3 + 32*q**3 - 74*q**3 + (5 - 1 - 3 + 2*q)*(28*q - 28*q - 2*q**2).\nAnswer: -87*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - -15 - -14) + (11 - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 19604*j**5 + 20143*j**2.\nAnswer: 1176240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -0.2 (b) 271 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/8? (a) -1\/5 (b) 3\/31 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-4\/9)\/(x\/x**(-2\/17)*x*x)*(x*x**(-9\/5)*x)\/(x\/x**(4\/3)) assuming x is positive.\nAnswer: x**(-2317\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -788, -790, -792, -794, -796?\n\"Answer: -2*x - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -498 less than or equal to -281761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -9*p - 54. Let g be h(-15). Let y = -9 + -1. What is the tens digit of g + (-4 - y - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5313790 is divided by 89.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6118.63 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n\/n**1)*n**(1\/2)\/n)\/((n*n\/(n**(2\/5)\/n)*n)\/(n**0\/n)) assuming n is positive.\nAnswer: n**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 8 = 2*p, 2 = -4*p + 5*h - 0*h. Let d(s) = -s + 12. Let b be d(10). Let 3*l**3 - 9*l**3 + l + b*l**p + 3*l = 0. Calculate l.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14609 times 49?\nAnswer: 715841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -2*m**2 - m**2 + m**2 + 2*m - 1 + 11*m**3. Suppose 10 = -2*z, 0*z - 4*z = -2*t + 22. List the prime factors of o(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 236*a**3 - 2*a**2 + 1. Let t be n(1). Suppose -46 = 3*u - t. Suppose -5*c + 2*c + u = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -134828*g**2 - 32. Let i(l) = 8*l**2. Determine p(i(d)).\nAnswer: -8628992*d**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12 - 9. What is the highest common divisor of l and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -11 - 3*t + 11 - t - 2*t + 4*t + (0 + 1 + 1)*(2*t - 3 + 3) + 3*t - t - 3*t - 2*t - t + 4*t + 0*t + 11*t + 5*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23527 + 3*x - 23538 + 70461 - 23396.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mumwdmwddwuwdmw. Give prob of picking 2 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.55474659 and 1.\nAnswer: 0.55474659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 19760411 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4148 divided by -305.\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 32, -28, 131, 3, 82 in ascending order.\nAnswer: -28, 3, 5, 32, 82, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be 88\/20 - (-2)\/(-5). Suppose -y + 3*y - 4*m - 8 = 0, -m - 16 = -4*y. Let d be (2\/5)\/(y\/40). Solve 0 = -3*f + d*s - 1, -4*f - 12 - 8 = h*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3542\/(-1265))\/(14\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of f**6\/300 + 19*f**5\/25 + 255*f**4\/4 + 10404*f**3\/5 - 2678*f**2. Solve w(p) = 0 for p.\nAnswer: -51, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t + 40 + 36 - 76.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 907115*0.09.\nAnswer: 81640.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 13*z - 14*z = -32, 0 = 5*u + 3*z - 33 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -5*k**2. Let o(c) be the first derivative of 1\/2*c**2 + 0*c - 2. Calculate p(o(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -5 - 5, f = -2*u - 14. Let q = 6 + f. Calculate the highest common factor of q and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 2*f + 4 = -8*z, 4*z - 28 = -5*f. Find s such that z + 7\/2*s**2 + 8*s = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-1900)\/(-15)*3\/72 and 49\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -3*n + 405 + 133, 3*h = -3*n + 570. Suppose -n = -5*f + 364. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5409199*k - 4005475 with respect to k.\nAnswer: -5409199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -7*d**2. Let z(h) = -71 - 2*h**2 + 4*h + 71 - 4*h. Give z(x(i)).\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h + h + 4*h - h + 0*h + 0*h + h + 3*h - h + (-5 + 5 + 2)*(-h - h - h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -6, -3, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**2 - 5*u - 9. Give n(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 7*l = 9*l + 14, -2*t - 3*l = 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 19 - 3*l**2 + 9*l**2 - l**3 - 2*l**2 - 29 wrt l.\nAnswer: -3*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-three tenths of a microsecond in nanoseconds?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -501502072 divided by 4?\nAnswer: -125375518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from vvvjjjjvvjvj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -386934 - 1660.6.\nAnswer: -388594.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 121235.5 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2867419254 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 224907 is divided by 176?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u - 2. Suppose -4*s + 12 = -7*s. Calculate l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1730866 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5.2 - 63.2. Let w = -70.2 - b. Let n = w - -14. Round n to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2074a - 0?\nAnswer: -2074a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -r + i, -5*i + 50 = 5*r. Suppose 2*s + 27 = r*s - 5*d, 5*d - 18 = -2*s. Let l(f) = 12*f - 36. Calculate the remainder when l(5) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 4, -8, -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8632 rounded to 2 decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(3\/8)*p)**(4\/9)*p**17*p**1 assuming p is positive.\nAnswer: p**(343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of y**2 - 70 + 93 + 47*y**3 - y**2 wrt y?\nAnswer: 141*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 17b + 1?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -999 = -0*t + 9*t. Let b = t - -115. Solve b*n - 6 = -5*r, n - 6*r = -r + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 4*z - 4, -3*q + 5*z + 1 = -7*q. Suppose -25*o + 130 = -45. Let d be o - 2 - (-1 - q). Solve 3*u - d*u = -5, 5*l + 25 = -3*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -17*v - v**3 + 22*v + 5*v**3 - 5 - 3*v**2 + 2 - 2*v**3. Give y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.9 (b) -0.15 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2 + 21*s + 36.\nAnswer: 3*(s + 3)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 2 + 0*a + 9*a + a**2. Let g(r) = -r**2 - 5*r + 1. Suppose -890 + 955 = -13*j. Calculate j*g(z) - 3*d(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + m + 6. What is k(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 3*w. Let z(p) = 3*p**2 - 5*p - 5. Let k be 1 - 2 - -4 - -2. Let f(n) = -4*n**2 + 7*n + 7. Let c(o) = k*f(o) + 7*z(o). Give i(c(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 257289 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1*2 + 14 + 36\/(-18). Suppose 2*d = q, -4*d + 609 + 341 = 5*n. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n**2 - 4 + 1 - n - n**3 - 1. Let o be d(0). Let j(a) = -38*a - 12. What is the tens digit of j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(6\/11))**(2\/67))**(6\/23) assuming k is positive.\nAnswer: k**(72\/16951)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {b: 2, g: 7, q: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the third derivative of p**8\/168 + 17*p**7\/105 + 31*p**6\/60 + p**5\/2 + 3*p**2 + 42*p. Factor x(w).\nAnswer: 2*w**2*(w + 1)**2*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 5 = 0, 0*c + 5*h + 28 = -3*c. Let y be ((-16)\/c)\/4 - 2. Let l(o) = o**3 + 5*o**2 - o - 4. Let x be l(-5). Is y smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v**4\/5 - 116*v**3\/5 + 336*v**2\/5 - 332*v\/5 + 22 = 0.\nAnswer: 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}